{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "hidden": true }, "outputs": [], "source": [ "library(IRkernel)\n", "library(IRdisplay)\n", "library(repr)\n", "library(base64enc)\n", "library(ggplot2) # would shadow Biobase::exprs\n", "\n", "suppressPackageStartupMessages({\n", " library(readxl)\n", " library(destiny)\n", " library(Biobase)\n", "})\n", "\n", "options(device = function(...) png('/dev/null', 7, 6, 'in', res = 120))\n", "options(repr.plot.width = 7, repr.plot.height = 6)\n", "options(jupyter.plot_mimetypes = c('application/pdf', 'image/png'))\n", "\n", "setHook('on.rgl.close', function(...) {\n", " name <- tempfile()\n", " par3d(windowRect = c(0, 0, 1200, 1200))\n", " Sys.sleep(1)\n", " \n", " rgl.snapshot( filename = paste0(name, '.png'))\n", " #rgl.postscript(filename = paste0(name, '.pdf'), fmt='pdf') # doesn’t work with spheres\n", " \n", " res <- getOption('repr.plot.res')\n", " \n", " publish_mimebundle(list(\n", " 'image/png' = base64encode(paste0(name, '.png'))\n", " #, 'application/pdf' = base64encode(paste0(name, '.pdf'))\n", " ), list(\n", " width = res * getOption('repr.plot.width'),\n", " height = res * getOption('repr.plot.height')\n", " ))\n", "}, 'replace')" ] }, { "cell_type": "markdown", "metadata": { "name": "introduction" }, "source": [ "Diffusion maps are spectral method for non-linear dimension reduction introduced by Coifman et al. (2005). Diffusion maps are based on a distance metric (diffusion distance) which is conceptually relevant to how differentiating cells follow noisy diffusion-like dynamics, moving from a pluripotent state towards more differentiated states.\n", "\n", "The R package **destiny** implements the formulation of diffusion maps presented in Haghverdi et al. (2015) which is especially suited for analyzing single-cell gene expression data from time-course experiments. It implicitly arranges cells along their developmental path, with bifurcations where differentiation events occur.\n", "\n", "In particular we follow Haghverdi et al. (2015) and present an implementation of diffusion maps in R that is less affected by sampling density heterogeneities and thus capable of identifying both abundant and rare cell populations. In addition, **destiny** implements complex noise models reflecting zero-inflation/censoring due to drop-out events in single-cell qPCR data and allows for missing values. Finally, we further improve on the implementation from Haghverdi et al. (2015), and implement a nearest neighbour approximation capable of handling very large data sets of up to 300.000 cells.\n", "\n", "For those familiar with R, and data preprocessing, we recommend the section [Plotting](#Plotting).\n", "\n", "All code in this vignette is accessible via `edit(vignette('destiny'))`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Preprocessing of single qPCR data\n", "================\n", "\n", "As an example, we present in the following the preprocessing of data from Guo et al. (2010). This dataset was produced by the Biomark RT-qPCR system and contains Ct values for 48 genes of 442 mouse embryonic stem cells at 7 different developmental time points, from the zygote to blastocyst.\n", "\n", "Starting at the totipotent 1-cell stage, cells transition smoothly in the transcriptional landscape towards either the trophoectoderm lineage or the inner cell mass. Subsequently, cells transition from the inner cell mass either towards the endoderm or epiblast lineage. This smooth transition from one developmental state to another, including two bifurcation events, is reflected in the expression profiles of the cells and can be visualized using **destiny**.\n", "\n", "Import\n", "-----\n", "\n", "Downloading the table S4 from the [publication website](http://www.sciencedirect.com/science/article/pii/S1534580710001103) will give you a spreadsheet “mmc4.xls”, from which the data can be loaded:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
CellActbAhcyAqp3Atp12aBmp4Cdx2Creb312Cebpa
1C 1 14.0119.2823.8928 28 21.2820.8428.00
1C 2 13.6818.5628.0028 28 23.4320.9328.00
1C 3 13.4218.1926.1828 28 22.8719.6128.00
1C 4 13.6918.5928.0028 28 23.2820.7228.00
1C 5 13.4718.6024.2028 28 24.1921.7523.69
1C 6 12.8617.3725.5328 28 21.8721.2728.00
1C 7 12.9517.3723.9328 28 22.7421.1228.00
1C 8 12.7718.4023.6828 28 24.1419.8028.00
1C 9 13.2918.2628.0028 28 21.9121.1828.00
\n" ], "text/latex": [ "\\begin{tabular}{r|lllllllll}\n", " Cell & Actb & Ahcy & Aqp3 & Atp12a & Bmp4 & Cdx2 & Creb312 & Cebpa\\\\\n", "\\hline\n", "\t 1C 1 & 14.01 & 19.28 & 23.89 & 28 & 28 & 21.28 & 20.84 & 28.00\\\\\n", "\t 1C 2 & 13.68 & 18.56 & 28.00 & 28 & 28 & 23.43 & 20.93 & 28.00\\\\\n", "\t 1C 3 & 13.42 & 18.19 & 26.18 & 28 & 28 & 22.87 & 19.61 & 28.00\\\\\n", "\t 1C 4 & 13.69 & 18.59 & 28.00 & 28 & 28 & 23.28 & 20.72 & 28.00\\\\\n", "\t 1C 5 & 13.47 & 18.60 & 24.20 & 28 & 28 & 24.19 & 21.75 & 23.69\\\\\n", "\t 1C 6 & 12.86 & 17.37 & 25.53 & 28 & 28 & 21.87 & 21.27 & 28.00\\\\\n", "\t 1C 7 & 12.95 & 17.37 & 23.93 & 28 & 28 & 22.74 & 21.12 & 28.00\\\\\n", "\t 1C 8 & 12.77 & 18.40 & 23.68 & 28 & 28 & 24.14 & 19.80 & 28.00\\\\\n", "\t 1C 9 & 13.29 & 18.26 & 28.00 & 28 & 28 & 21.91 & 21.18 & 28.00\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "Cell | Actb | Ahcy | Aqp3 | Atp12a | Bmp4 | Cdx2 | Creb312 | Cebpa | \n", "|---|---|---|---|---|---|---|---|---|\n", "| 1C 1 | 14.01 | 19.28 | 23.89 | 28 | 28 | 21.28 | 20.84 | 28.00 | \n", "| 1C 2 | 13.68 | 18.56 | 28.00 | 28 | 28 | 23.43 | 20.93 | 28.00 | \n", "| 1C 3 | 13.42 | 18.19 | 26.18 | 28 | 28 | 22.87 | 19.61 | 28.00 | \n", "| 1C 4 | 13.69 | 18.59 | 28.00 | 28 | 28 | 23.28 | 20.72 | 28.00 | \n", "| 1C 5 | 13.47 | 18.60 | 24.20 | 28 | 28 | 24.19 | 21.75 | 23.69 | \n", "| 1C 6 | 12.86 | 17.37 | 25.53 | 28 | 28 | 21.87 | 21.27 | 28.00 | \n", "| 1C 7 | 12.95 | 17.37 | 23.93 | 28 | 28 | 22.74 | 21.12 | 28.00 | \n", "| 1C 8 | 12.77 | 18.40 | 23.68 | 28 | 28 | 24.14 | 19.80 | 28.00 | \n", "| 1C 9 | 13.29 | 18.26 | 28.00 | 28 | 28 | 21.91 | 21.18 | 28.00 | \n", "\n", "\n" ], "text/plain": [ " Cell Actb Ahcy Aqp3 Atp12a Bmp4 Cdx2 Creb312 Cebpa\n", "1 1C 1 14.01 19.28 23.89 28 28 21.28 20.84 28.00\n", "2 1C 2 13.68 18.56 28.00 28 28 23.43 20.93 28.00\n", "3 1C 3 13.42 18.19 26.18 28 28 22.87 19.61 28.00\n", "4 1C 4 13.69 18.59 28.00 28 28 23.28 20.72 28.00\n", "5 1C 5 13.47 18.60 24.20 28 28 24.19 21.75 23.69\n", "6 1C 6 12.86 17.37 25.53 28 28 21.87 21.27 28.00\n", "7 1C 7 12.95 17.37 23.93 28 28 22.74 21.12 28.00\n", "8 1C 8 12.77 18.40 23.68 28 28 24.14 19.80 28.00\n", "9 1C 9 13.29 18.26 28.00 28 28 21.91 21.18 28.00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "library(readxl)\n", "raw_ct <- read_xls('mmc4.xls', 'Sheet1')\n", "\n", "raw_ct[1:9, 1:9] #preview of a few rows and columns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The value 28 is the assumed background expression of 28 cycle times.\n", "\n", "In order to easily clean and normalize the data without mangling the annotations, we convert the `data.frame` into a Bioconductor `ExpressionSet` using the `as.ExpressionSet` function from the **destiny** package, and assign it to the name `ct`:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ExpressionSet (storageMode: lockedEnvironment)\n", "assayData: 48 features, 442 samples \n", " element names: exprs \n", "protocolData: none\n", "phenoData\n", " sampleNames: 1 2 ... 442 (442 total)\n", " varLabels: Cell\n", " varMetadata: labelDescription\n", "featureData: none\n", "experimentData: use 'experimentData(object)'\n", "Annotation: " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "library(destiny)\n", "library(Biobase)\n", "\n", "# as.data.frame because ExpressionSets\n", "# do not support readxl’s “tibbles”\n", "ct <- as.ExpressionSet(as.data.frame(raw_ct))\n", "ct" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The advantage of `ExpressionSet` over `data.frame` is that tasks like normalizing the expressions are both faster and do not accidentally destroy annotations by applying “normalization” to columns that are not expressions. The approach of handling a separate expression `matrix` and annotation `data.frame` requires you to be careful when adding or removing samples on both variables, while `ExpressionSet` does it internally for you.\n", "\n", "The object internally stores an expression matrix of features × samples, retrievable using `exprs(ct)`, and an annotation `data.frame` of samples × annotations as `phenoData(ct)`. Annotations can be accessed directly via `ct$column` and `ct[['column']]`. Note that the expression matrix is transposed compared to the usual samples × features `data.frame`.\n", "\n", "Data cleaning\n", "----------\n", "\n", "We remove all cells that have a value bigger than the background expression, indicating data points not available (`NA`). Also we remove cells from the 1 cell stage embryos, since they were treated systematically different (Guo et al., 2010).\n", "\n", "For this, we add an annotation column containing the embryonic cell stage for each sample by extracting the number of cells from the “Cell” annotation column:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "num_cells <- gsub('^(\\\\d+)C.*$', '\\\\1', ct$Cell)\n", "ct$num_cells <- as.integer(num_cells)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then use the new annotation column to create two filters:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# cells from 2+ cell embryos\n", "have_duplications <- ct$num_cells > 1\n", "# cells with values <= 28\n", "normal_vals <- apply(exprs(ct), 2, function(smp) all(smp <= 28))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the combination of both filters to exclude both non-divided cells and such containing Ct values higher than the baseline, and store the result as `cleaned_ct`:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "cleaned_ct <- ct[, have_duplications & normal_vals]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Normalization\n", "----------\n", "\n", "Finally we follow Guo et al. (2010) and normalize each cell using the endogenous controls Actb and Gapdh by subtracting their average expression for each cell. Note that it is not clear how to normalise sc-qPCR data as the expression of housekeeping genes is also stochastic. Consequently, if such housekeeping normalisation is performed, it is crucial to take the mean of several genes." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "housekeepers <- c('Actb', 'Gapdh') # houskeeper gene names\n", "\n", "normalizations <- colMeans(exprs(cleaned_ct)[housekeepers, ])\n", "\n", "guo_norm <- cleaned_ct\n", "exprs(guo_norm) <- exprs(guo_norm) - normalizations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resulting `ExpressionSet` contains the normalized Ct values of all cells retained after cleaning.\n", "\n", "Plotting\n", "====\n", "\n", "The data necessary to create a diffusion map with our package is a a cell×gene `matrix` or `data.frame`, or alternatively an `ExpressionSet` (which has a gene×cell `exprs` matrix). In order to create a `DiffusionMap` object, you just need to supply one of those formats as first parameter to the `DiffusionMap` function. In the case of a `data.frame`, each floating point column is interpreted as expression levels, and columns of different type (e.g. `factor`, `character` or `integer`) are assumed to be annotations and ignored. Note that single-cell RNA-seq count data should be transformed using a variance-stabilizing transformation (e.g. log or rlog); the Ct scale for qPCR data is logarithmic already (an increase in 1 Ct corresponds to a doubling of transcripts).\n", "\n", "In order to create a diffusion map to plot, you have to call `DiffusionMap`, optionally with parameters. If the number of cells is small enough (< ~1000), you do not need to specify approximations like `k` (for k nearest neighbors).\n", "\n", "If you started reading here, execute `data(guo.norm)` to load the dataset that was created in the previous section." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "library(destiny)\n", "#data(guo_norm)\n", "dm <- DiffusionMap(guo_norm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simply calling `plot` on the resulting object `dif` will visualize the diffusion components:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "data": { "application/pdf": 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B0fy0TELkHCF7t37IpdDHbBilmJPj6xbXElwxyLl2QmIi5rVyxGIHxx3Vrixvcq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\nQwo+PgpzdHJlYW0KeJy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KfKUxOZdlcKoIMQ7ACg4zTq5tFDS0PD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\n5B3bI+fsE1qn/N8OAM9bXT3B5UNLD9w7lUgEEt2BRFegWmmMj61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QU5RA8Ek3il2YK8QTfuXsqUZrRSt9TKgJEXib0PqFrIvK14S1KCpf\nEYF3tC4pGo0HlufmKsWXBIOF0qEZGd7bPdjrCwnZvGth0pSytbVBFcJ42uSpEEITatTjLRiN\n1lijJhRLSCFE07aahrUhknjN0PrDufRdi1OmbWuKKoVUhBCKogjxmqH1d8xP2FJ6Vc1SpWnb\nhm0JIQK6/oqBtd+ZGfVqrprVtKQM6cVHM4tuVXvL6s1CiKVaOW/UVwUjMY+vtfwOuDjoL/nQ\nx9/2nbff/N7tm77y6hdv6VYzx396+11j1Z43fOGT74yfoxch2AFA24Qj3nDEK4R47JFZIURf\nb6h1E1ivT9ddqs8n6jVFUYSU4pqXbGh9cfzIRH3JsoWd6Do9dmVZcnI8k1mp7N47dLpfaQjF\nLao3C21AhH5NiMeHAlw9QvUIY7/Qtwn3jqVa+b+mjnd5/JvD/ojWbIhyrjTzlYn89dF9m30T\no4U3K8IlhQzpWrlpP2P9lrSz9ZqiKC5VNaWtCDXq1vNG/X+s35Fr1L8zM7qQ6N0eSy7VyuVm\ns88ffDA9ryoiqntXGtWmtG9at+NrE0eb0rakbKU6j+bq8QZWBSM3rd/x6MriwWxKSmnY9u5E\n3854j0tVc43a7bOnNkW7njJEB1wU+m740mPdV/zFP3z2ez/+2oM138D6Tdf93v/+sz9996Xn\nYnVdC8EOANrPsqQQomk+kZ/qdbM7OlNyR3OFsBDi0P4FKWW5WG9atiKEIqyH7p8OBt1CilLF\nsBWZ6zW+PH84rOX79YXdweMBtS6EFL5XCqEKIUXjAVH7obBbd2tVRPkzltp7e+rqtaGolM19\nmdye3sK02OTRNMUQ38vtiWqFrf7JsdpQ1fa4RW6dr1Qy/UvNs8cUTs+oSiGklH6Xu2w2TGl5\nXV7FEFXTXBeOrwvHD2RS/f5Ql8c/XV7s9wXiHm+paeiqGtTd358b3xZL1mxzc6Tbran7V5ZM\naRuWORyM1MxmuWm0NlgEdHe6VnGrWsGoZ436XKW4Ohi9rn/NBfyXA5xDWt+1v/Nv1/7O+XsB\ngh0AtFtz1OuulkVgOVWaCdqDq/pUVVFVxbKqqjbQuiSbqbS+UBXbFqpbN4aHXZbUy83CUVdZ\nCZTXB5a3iNmCHRytrTlaXfem5IEedVTUvicajwnFJaxF4eoWtlsIo3XEyHRVKZviGu8Xf1rc\n+fbkgin1+/I9hq235ku/nrn2N3u+OddI1qT7jbF7hCJ/lN8z7F5aanYZsvWHQ2n901rqVzGN\n1lfpWi3gct+fmn3LyJbhYGR/ZkkIsTGSuC81+8jK4hXJgclyYb5S/KU12/5r6vixXNqW8kR+\nOez2BnV33qi7NO2uxam7FqcURenzBd82siXpC4wWsqlauWw2e33BvV39HEEHPAuCHQC0gW3L\n+dl8dnm2UrF0V03TTCECQsrxU5XxU6cUVVGEsO1NZ64PeLNen5rNR5M9SiolFWGNj1vDfT96\nRA4NaI0Ro2jX1YA3NBKZuixw7M783m8vb3pPcsKlqsJOne7CTNWk+/9n7z7j4yru9YE/c87Z\nXrVarXrv7kWyAwaCTScJxRQTahoEErjwzw333vRCCDcEksCFEAIpQKiBYEioNs0YG2OMi3qx\nem/by6nzf7GyLNsytoWs1TrzfcEH7549+9NK2n00Z2Z+A2JWgaFfAzekpJQau9timcutjU4u\ntH7sNFkTeEIpeEBTKP/kyNnlps4twYUvek+9Nu31djFzmbXpFHvNUyNnxc8nEC7e4xUApdTA\nC6KqaFRLM5mHo5G/t9dnmCyKpvolsS8S5AkXU+XBaLjY5uwO+V/oaEg1mPsiAQPPx1R1RIxQ\nSm06/fXly2KqEpIlp9440RCi0umudLpn73vDMMmMBTuGYZjZJsvqrh29UiyYkdqYniKGpOqe\nXh4AjQ+DEY1q3EGLXsMxlwrBk24cGAgRQs1Gn6YJnf1V+ZTjOSliIzwnd/uXtPacWpy95Yy0\nHY8MXtAaza4wd06cQaWciUiFxj4AHLTlliYdUQKqpVd0vxI6eUyxE4CDJlONIwClY4q9M5YB\nYFR2DMopAHaHS9pjWROjdCl607AY5ginUQ3x1RWEgEIg/JXFC94b6Nw5OkCBPzXvNPD8wpT0\nIptz+0jf1qFeADFV6Y0EdByn53hJ0zRKLYLuquKFAIy8wFqyMsy0sV8ehmGYQ6kAf+SjpofK\nTfUjoLEV857U6UD5gq49fo9z1BvKlmQzAEoP3vbA7egKRFIV2Tg4oHBEs5hGF5e+3DdS2dS5\nRjGFSMySnbYn1dEFYGCsorFjtU7PZem9A3JqBTrjl0sV6ETKh1R3utAL0CE5xcBJqsY/N3qG\nTHkDkZe6MjqCraImfDFnyStdtRIEAH3K+DjZU8NnA1Ap71X2txcbFsMAtIlBO1AATr1JoapV\npz/Zk9sW9J6UllPmSLXrx3ceybHYAYiqEpClD4e6B6PRmCalGkzFNteKsHjG8QAAIABJREFU\ntKwpe7YyDHNMWLBjGCYZKcfl7UvpQHQD1C5oIXAp0JXAdC64Y92FQIM6Cm0IxAY+A2TfpiRq\nP8JPQhmISabhoWuWV67X6WRADYb4SCzFZuUkxXy4M0YlC+EEReb1QkylQjjqAsiYvwCAktZZ\nEFPa+k5KdXQBXIarJSba23oW6rJblfhiWAoAlNKaSNHnUjgo/aDasyNrzvKomWTjKtuejf6q\ns1O2V2SdHvBt+EvvvFrvkAzBIUT8islERBEmIxfloAZVCwAOlCeKTHUADDxPKeKrWeN0hHeb\nTBxQ6x3aPNida3EsT8s6tNWDgRfSeOFLeeXH+MIyDHNkLNgxDJM8lDZEN0LpBA2Dc003eB2I\nxkAlcHaI2xF+GvolMK8F54Q6DPFD+O+G7VsQ8j7tDGo/5BZoQyAOQIW4HdooiAFUAhFgOA3m\ncxB+AeI2AAAXjKQJvGQ398UjVyhEeU4dHHESaJSAAzUagpGYE6B5GTW9wwtUlXNa+svy33vn\nk2+nOVsGveUadJQSfygTwIhmOTX1o56hxbJs0umiIFyGq6G9r9ofTSuzN0/UqCPqCmsD1BSY\nL0L4hTSdr8I0OhQWKswd7wSW9YipuYoc4ZY6eG9LYCzPGB6U9ACRNJ0GusgyIKrSJ+EyABTI\n1Q+3idkAPagtGABFU1v9YwC6QoGlqRkr07JZAy+GmWUs2DEMkyTEDxF+DvplsFwOzgF1aF/w\n+jaE3CM//GAaYpsQex/aKAAQAyDDdC5MZ4/fLxTCUI3w0wg/Dsf3DnNlVkP4eYhbwWeA90Bt\nhjoMzgb7/4OQDypCbkDkH5A+geYFEWBeh8jfNb6E5/efzRcqVFUeRCNAmrN91J+f7moe9eUF\nIhmBsNtkGAtF3MP+4mJtCyg4XtXpokSmhGiyatTrQ6OapVt1AJBUk04XBdX0BgIgLFtLjd0T\nz/LPsZPLTN3lTg8MqxB+wS34idyabrJC8dr4SE24dE/jDgAm3pTCB2IqrFxE1BwUHCG0PuIJ\nKmZCCEdVDaRNzNo3y26cSdBFVVnHcal6s6ypF+SVpxiMx/4dYRhmBrBgxzBMMtBGEX4elkth\nOHn8FqEAhmqEn0L4cTj+5xinxFGEHoPcAtPZEIpBjIi+AqkO4gcwVI0PAcbH28wXw/djyE3Q\nzYMWgOaH2gO1F1oAxAItCLUD9lsgFIHK8P0MxjOgdiD8NBzfBTFAvwRQEPobAHBpiLwAYjNZ\nCyRZkBSrXggBnDeYBgJKOQrwnCwIsYjoNBpDEVHyhzLTUztDEbckm0YDeSCISdaYaDMZ/D1D\niymF2951sm1w8+iKEkAisABB1VzvLwWw0N7oEEIA4vvY6TnFr1ogfgwaBOBXbYAIYTmUfgpQ\ngAPVcaqkkSi1Z/MjVl4cU+wgNFUIDCtOADxUFQfMgSP7+rqKqgwKVaMCx12YX24RdJ/xu80w\nzLSxYMcwzFwxFpbahkPDQdFiEDIdxhKPdX+DLHEbhIz9qW4cgflieH8MuQW6ikPOd3jidsiN\nsH8HfPq+myiMK6EMIPws+HRIteNjbHwmiB3i+wg/Ay2w72Ae2HcVkghQeiEUQmkBJJjOBjT4\nfgFxOwwnAYC4Y/xIXT5i/RBybepfjPprOvuWlua9LylmSTKZjd5IzAlgyFuSlVbfOzQvN30P\nQCkl/mAKAI4o9W3ngmLYWwIgGnO0dJ/C80ow6l5h+1AbKvLpLX8ZPZsjmka5vJDeow9/LmXf\n8xI7EK40dW70Vy2zNAtSkwquS/QMSRYP3SRRIaiaCaCByFQXXwAxpHhkjQLUzofWuTeOyg6R\n6kRNH4PrHV85pYQSEBAKgFJJVSjg0BvOzi5mDb4YJuFYsGMYJvEosLF+YOveEZfFkGYzDARi\nm1uGUyz6y6tyU60GAFD7IRRP8UhihpAJte8Yg91HMJw0KdUB0AAextMRehSaF6azwGeDRqG0\nILoRkhemLyC2EXwmlHYQC2gExjUQNwMKouuhjYBLA+caXyqhXwi5EYaToA5CbgQxgIrQn4zY\nh7B+nWj+8oK/72k5S6OCx9UCoDjro9r2s+M9YVPsXf5QRs/QQlXTAYhJdgAaPWA8koLjeEXH\nR0Nhz8f1F8SiqdUlr3zOPOpXrLI/uye0srLo9fEjKfEqmldJNxLRysdqw0VLrC08tFJj91v+\n5V9yfdAczSPg8m3OnnBA1jQABJA1jQA6jr+0aCWl2WNjjZ0R9ErOkGamFALhVKrpOU7geVFV\nFEoXpaStySzkCJtQxzCJx4IdwyQrTaMNA4FebzQQlVMs+kK3pTDNmqQfrZuahnZ0eq9cWVDi\nscZviUjq+p09T2zt+NbqUr3AgWrA4fbC4A6a8nVk2gCEVQeeIx3KXqjDAIF57f6YqIXG/0ft\nAbFA7QIoaAAAYhvAWWG6DOEnENsE05mg0r6zOSAPA0DsHXBWUAEQIe0EALkd+vKU9CVLsL65\n+7S+kXkEqGk7h3AqKK9SYU/LFwnRCKFkvFtX/FsaH7uk8X8SUE0VYqoNQDDi5jm1a2ApR5Rw\n1K2o+vK8d9KcbQDaYtnvBJb6FauBkyUqcKCpgndrYMGI6sjQ+ytMO8OqaU90WYnd1RIYAyBw\nxGkwiYoaVkQC8o3ypUZeAObNz5w3D/BLsYAk2vUGh94YkMSBaMgviU69IdNstekMx/b6Mwxz\n3LBgxzBJyReRnv6oyx+R8t0Wh1HX54tu3TtS6LZcVpWnF5JsMzBRVje3jly4JHsi1QEw6/nL\nq3IfeLtle8fYqhI3+HQoHVM8mEpQ+8GddYzPeUgWNFQh9lb8jPs3KAEQfQ1ED/1SSHtAJYDC\n9i0I+VD7EfgdtBCkD0AE8B5oY9DGoA6Az4DmB2cBAKUdfDbkJgCIvQsQhB4G74aQ77D2V1c+\nJ8rmhvazZVW/rPyltr6qnsHFApEIryiq8ZCsqgm8WJn/lsM2MObP84czfcHsUNTF83JlwcZw\nNFXVhPTUllRbl04XBUlpFYv+5S1d7qRLLW1W7WMFpCuW/rZ/eYoQWJv6vgR7mKt6tje9yOaK\nqUqxzSVrikYhakq2xebSp20Z6pk8AkcAp97o1I8viXDoDQ49C3MMMxexYMcwB9M0OhaW9AJn\nN43PAVdUTeC5QFQWeM6sn86+tcNBsd8fDYuKy2LIc5lN0zrJBFWjT27rtBt1Xzm5cOJUY2Hp\nqW2d63f2XF79qXtzzD2doxGOYF7mwdOzBJ5bkO3YOxRaVeKGoRqxdyHVQL/wgIOir4GYoDvG\nHdH4TMht0C+bdEsG9CshfQgQUBmaf3zVrTYK4yng8yBuA2cH54SuDACEAhAzaBRKNwgP4oAW\nhq4C4adg/SqkGpi/AAA0BnkvQMFnQu0HMYMqIPZ9E++oQa9UlNTtqFlVu/esouwPdUK0vXcl\nUfQgGoFGOOiECE+UiOjkeWXlvKd1uhhAPa6W+DXcrTXXxiSb29EeH6IDOAiFUPs0LfC2t2CF\n03+yoxfyXnBOwbK2yGZMdTkeb+to4v67wpmuKLJCd5ycnuMymA56ecbE6JahHlnT9Nxx26WZ\nYZjjgwU75kQWFhWBIwbd1B9OGqXesOSNSClmfSgmd45F+n2xoaDojUiUUgA8T6x6QVJpVFIm\nup1bDcKy/JRTyzwCNz6eoWl0NCzpeOIw6w+9EhqR1Jd29TQPBB0mncUgjIZEjWJ1heek4un3\nvqzr84diytdPKTJO+tJcFv1lVbl/eLd1MBBLtyfTZhNhSbHoBY6b4jKyzaiLSCEA4DNhOg+h\nv8K4GvoF4JxQhyBuhbQHthtAjnEZpuFkhP8Gw4oDNqjTL4S0DcSA4B8ACvDQFYJzgUsHIgDA\npYDKk86iQTcfShM0CYIACli+jMD/wf8LwAhoiL4JLQSoMJ2P2LvgUkD9gAalbfwExAAqGbnm\nZRVDTZ2f/7jhckK0+KIEkz7sSWlxWPtc9q6eoeWtPSs5our0EuikgTxiclgHY2O2UDTNZh4G\nZ4X9u1D7EXy0V3dDVBursg+Dc8J8IfRL4y+RQ4cKR7A54K9wppt4Qc/xo2L00GA3Kkb1HG9m\nfb0YJgmx31smCVCKiYtC/qjcMRJqHw6HJMVq4E16IdVi0PFkKCCGJTXLadI0fNwx6o1I2r6P\nQKtBWFGYWlXg2tXtbR8OdXsjsgIN8SV9VOCIolEADpM+GJO0fZ+bhEBVqT8qg8Co4xZkOwYD\nYr8vtjDHuavb1zkaueakgpCovF7b3zwY1DQKwKDjq/Jdp5enCfz4xVCN0ic/7NAoven0Eo/d\nGL/l7YbBjQ2DLYOhxbnOQrdlYlzw6LUPh0vTbcZDAmu63eixGdtHwskV7Cx6ISwpmkYPzXbB\nmGzW73ubMp0FPg3RNxF7a1/wKob9tulsYqdfBHk5gg/AeBqEEhAD1F7E3gEAy9egK4DmB+8C\neISegNKMeNcsbQRaFJofnANKN6gIy0UIPgJ1EFIdeDdCfwIdA7GDT0PsXRAbCAEMMJ4Kw0qI\nm6F0QhuFFgQ0UAV8Jvh0cHaTrnNJ2UuSYq5tPZfnpXkFb+l0UUq5YW9xU9fp8Y2IJdnkC2Q4\nbb3gPVCHAIDoQ7F0gMYkq81hh/UbIEao/QACaopVF9Hbrj70S081muq9IwA4Qkrsru3DfUW2\nFH7SVVeV0u3DfaUOF2GLIRgmCbFgxySMNyx1eyM9YxFR08IRxReTo5Iiqpqq0UnTnyhwDJ8u\nu7u9k//JE0IJwqKyuXV4U/OQwHExRQXGN+CKn1rRqFEvVGRYd3X5Jj+WUggcAaGKClHWdnR4\nARCOfLh3JMtp7vdH36jtr+8PuK2GK1fmZzhMrYPBhn7/R+2jtb2+8xZmlqXbCcGeHt9YWLp5\nTanFIADwRqTnP+4eDMRsBl3HaGgkJEYk5bQyz2llacf00kVlNcUydRy0GPiodHA/gDkuP9Ws\nabS+P7Ag2zH5dkXV6voCVQWTGkvol0C/BFQCDYJLOfxyiiMisFwBoRji+4i9B6qAS4V+Ebhe\niBugvxH8vu+I8RQE7gfhAAJiBhSEnoTtq4i8AF0l5DaoIyACQCHkgvPAdA505ft/aMe+C86C\n4O9hXgdT/OJsFIHfjScz80UQCsaPDP1Vj92yakxPbdbpRFXV1ez9QiDscTs7XI7OSCwFwJ7W\nLy2q2OQ01QMEIN1Di8IRG0B5UxVs+zaCUdohZAqUlzRtyq9cUrWJlqynpOc+tbf2xY6GUzPy\n04xmAEOx8OaBrpAiXeApm+5ryzBMIrFgxyRAWFRe2dXXOBg4iqWM0xwz4DkuPmJHQMFBUjQQ\nKIoKgOc5VdUmnzomKXu6/fH/z00x93ojAs9JqqbsG76jAEcIR5BmN/b7ooPBmJ4n2zvGMh2m\na08uEGXt2e1dPd5InstSkWGr7w88t70rJ8W8bkVe80BwXpY9nuokRXtiS0eKRX/bmeVmPX/3\n6w3nLcyklK7f2avjyTFdmbUaBV9EnvIuX0Sel5Vkv9cGHX9Kadore/pMer44bXz9RFRS1+/s\noZRWTw52UCHthtIFzQ/eDaEMutLP8MTVMFQDFFQZv5irjSJwHwL3wbgafBaoCGUvCA+qAAS6\nctAmKM3wfg+EBwQoTSB60Bis10K/dIqnIAaYzoJcj8C9IEYQEzQviAGcFVoQZNL6A8ulkBsI\n0SifC4OpqdElarkrq0cNygaAjHhLY5JFpfyuhs9nuTNADP6gKxyzE0IBzuZeue/lGULsPZi/\nlEmsUUXuj4YyTdaDKmoPerMstvj/W3X6K4rmb+xrf3JvTXzQTqW0wOq8onC+VacHwzBJKMk+\nAJik0zwY+KTTOxKUVEolRY3JmkanOxz3qccTcsDsI1XTTi3zOIy61+v6VVWjBDwQH8GIpzod\nR+R9m0lQIF6VXuDCkiIIvMBBJwhhUQHAc0TVKAUUjfb7ojxHFI0qqgZgLCzGZO3vH3eJinrL\nGWUOkw5AatNQfX9A0eiz27tVjWY5xycwfdwxplJ6xYo8Hc8BsJt0oZhSXegSFe312v6qApeO\nP9rxpzKP7e87uv1R2XHgZdy24ZAvKhd7Dv4sn/tOK/OIivbkhx2pVkOa1RCR1D5f1GnWXXNS\nwf5FvuoIQo9C80FXAuKA0ono29BVwHrdAetYjxnZP0WPS4X9u4j+C+G/g0YAAt4N04Xg0xB+\nBrEtAAfODWiAAhodbz5huWzqVAdAVwS5BdavQxuD0gsai197hf9OEN0BG+kRM/gsq3nU5091\nO3sGx0qWLY0YuD0AAWcszNrW0LGGJzIFGfEX6Y02ylFAEnjJk6bpSC8UGXI7Ym9DVwbDSXZw\nZXbXht62SwsqzZP6QGwb7h2ORc7P3Z+G7XrD2oKKiCKPiFEAboPJzPpGMEwyY8GOOV58Eemx\nD9p90akHluIOTWmfHvU+5a7JqS4+ba6m23vD50veqOsHIYTGJ0lBJ0BRkGo1hkT526cV/987\nLaq2/5EWveANyw6zkOcyDwZEUVYVjcYPiC+nuHJl/kftoyadUNPnB6WyRjfWD3SNRW5ZUzqR\nsTIdpi17R769uvT+t5rT7cbIvgujLUPBhdnOifQWkVSjjgOwMMf56p6+rtHI0Qey0gxbborp\nbx92XLo8d2I6XetQ6MVPulcUulLMyTfWQgjOnp+xPD+lbTg8EhLT7caTi90l6db9O25QGaGH\nwblhvxVk32R/dQihPyL8DKzXzlgpnB2WK2EBtACIcX9kdPwPgr+H5oNhOfhs0BiUVogfw3T2\nIf0wJjGuQeD/IJbCcBL0+4YelS6AAxQE/wD9YnBOqMMQt0PzZ+eu3rnbaNI59ELYwf8dKIbj\nu7KW1ranixAtvmWxKAmSIut1POF4m1UpyX4VgWGAgE+H6VwYT4lfoT4zu+gfHY1/bdld4Uh1\nGU1RRekM+Ydi4fNzSw7dqcQs6PJYnmOYEwILdsxxEZPVP25qi0qKnucUCk3T4h/Q9FMvvh7l\nAB4FdPtWPExGQOKz8/Q6XhGVQEyu6/PrBU4SFbLv5LKCNJvRZdGJito6HEqzGQcC0YkpfVFR\npaDzs5wmPdc0GKT7T4kUi94blnQC1++PnVWZXtPrByBwXNNAIDfF7JyUpVRKeY7YTbr8VIui\naY0DgTMq03mOhEVlIvx1joYjkpKfagEgcMRiEEKichRf+sRXinXVeS/t6v3Du60pFr3dqBsL\nSyFRWVnkOntextGfZ65JtRrG+0wcStoBLQr7Vw64fMl7YLkOgd9APefANhIzgTtw+xVihP0/\nEHsfUg1i74MYIWTD9s0j7LQiFMJyOcJ/h/gRhCIQHdQeSPUwrIDxdMTeQex9aF5wadCVwHiG\ng7MXFI21ty0SeG1I+p6OcsFRsaO1S9O0knK31WZsa9wViqaCcJKsFpek5uQVE7IEVALhD+qW\na+SFK4rm13qHOkP+rtGARdBlmKzn5hRP7EXHMMwJiQU75rj4sG1UlBSOEJVqoPEt84/8qKO8\nLEsAZarTTay5iMkqAI1iOCimWvRhUZl85qI0y54eX57LPBQUJVUdfxABKGKqCkBS1HnZ9o31\ngzxH9m1ygsoM+5a9I039QY3SVKsBhHKA0yyMhiSr8YDfo/aRUIbdCMBqEACMhqSXd/V+aUm2\nWT+e3kZC4vqdvUtyU+LrYTWNRiT1aLbHkxRtOCgGYnKKWe+xGS6vzhsKxnrGooGYvDw/Jdd1\nQL480cjN0M8/INXFCbng3VBaZj7YTUGAcTWMq4/tQYbPQSiCuA1qH6gMPh22m8anBlq+fOjh\nBUUuKO0dXbaWxiFF0QQdT0GrTsq3WvVQB8zGIb0pY/7iwj07e0dHIrn5KQAOdyWaI2SRK32R\naxZeGYZh5goW7Jjjor7PrwHpNoM/KouyZtRxMXnyGr1jnVx3wMMo4u3Hp7grPtOOUgoCUKKB\nhiSFI2TyxD631aDjucFATKPwhmUdx0maFj9h/OQ7urzNQwGjnotJ+2uOr7fd1j5amWl/Yms7\nKBbkOuv7/JTCP2kdQ9dY5JNO7yXLcwH4o3JeqvmqlfnPbO+6f2OTWS9s7xjt80bbR0MlHtv5\nCzPjD2kcCGiU5rnMn/KFa5S+1zS8de+IomkmHR+RVItBOKMyfWleisf27zEAQ6PgXFPfRazQ\norNbzTHiPTB/6egPzy2q6O5tz8vuyy05bcdHvSlZdqtVDy0kel8Y9q4pq3QTgqIS98fbukRR\nMRjY2zjDMPuxdwTmuIgPTRkE3qynkiIKPA9Zm7S+4TPtjzXlg+M3xs8f/6/AYzQojoWkiWPi\n4e/thqFzFqSv39nrj8oGno8p6sQJCUcopZpG/ZGDL4yGJRUAR4gvItlNeodJtyw/ZU+3DwS9\nvsi2tlGrQegcDX/S5a0qcFVm2oeDYvdY5IzK9Eyn6durS/f0+LrHIqMh0RuTLlueV5Zpiz9p\n52j4X3v6VpW4D7eLctw/d/c1DwQuWJJdnmHT8VxUUnd2e1/Z0yer2orC1GN/CY9WICrX9/mH\ngiIh8NiM87McBw1Pzh7OBm1s6rs078GXTZMcL1hKSsxNTZlQ/xEJL8zL7kG4wzc61NT5eavd\n7MmwAbDaDIQgGpFZsGMYZjL2jsAcF0YdH5VUWVNVTQMgqxRkfJ9hSo9tvG7i4P3DdYc5TE84\nme4fY1NU2j4SBqDjOVmjZN8C2KisrN/ZC4BS7NvWjsSbqws8keT4Jin7t9Ibf0aCwlTL4lzn\njk5vVFarClzPfdTtMOqMBj4QlV+v7TfphEyn8dKq3IoMe58v+vzH3eUZtlyXGYBe4KoKXFUF\nrpNL3M9+1LV+V09ul9ms54eCYr8vWl3oOr380y6WdY9Fdnf7vnFq0cQCW5OeP7nYbdLxr9X0\nL8h27N/Cd0Z90ul9rabPYdZnO00U+Kh99K2GwS8uzlqU4zweT3cEuvkIPzW+OfBkcj20wDG3\nFJvzMnOLCDfc2rxQUUhzi61BW6ppfHqGrbTCs2+6KqUUbA9hhmEOwoIdc1wUui2BqDwSlBRN\no4Aoq0aBxFRKD5PMPm0fkwP/h+w7/KCHEGByqiOAy6orSbMHRLmhL5BuNzrNuqaBoN2oC4lK\n/MqsgSeyBo1SDjAbhPxUS31/YKIejpBCt7UozVLb6+v3x0DRPhJuHwlzHNE0+lbDYJ7b0j4U\nunxFnsdm+Neevt3dPm9E2t4+tqFuYCwsLcxxfmlx1kFfS7rd+O01pQ39gX5/NCKq87McFy7J\nPmKXiLo+f1GaZSLVTViSm/J2w2DzYHBJbsqnn2EaWoeCr+zp+8KirGX54yenwPb20Zd29tqN\nugK3Zcaf8Qj0ixB7D8E/wHod+H0LROQ6hJ6EcTW4RGTN4ywjO82T6d75cTfHmfMKUqw2w+TB\nOe9YhOOIxXrizqpkGGZaWLBjjotVJWm7u3yyphkEjue4mKRI6vgC04MC3PjcuKlOMungQ1Pc\nFA/hQHieKPHtSQhGQ/JoaDTVavh8madrLNI2HAYQiMkA4uFMVCkAniMLcxxnzcuklNb3+9dV\n5/I83+sLd41EBgLRoWDUYzOWZ9i6RiOSquW7zRa9jiNkJCh2DIcuWJIdz1sXLc05pSStayzi\nj0rzsxy5LnOaberVnTxHFmQ7Dmqx8Ol8ETltqrWihMBtMxxup+LP6J3GoaoC10SqA0CAFYWp\nA/7Yu01DX3EXHo8n/VQEtm8g9CT8vwKfCuKENgQtBONqmL8468XMEo4j+YWpdXv6eZ6bnOpk\nWW1tHknPsAnCtHtvMAxzYmLBjjkuXBb9FSvznv2oS1S08Y2BD7Ms9uh2rSPxjUd4niOEygol\nhBh4TlQ1gBKQyky7Uc97Q+JYRArFcPGynLJ061hEsht1Ew1VKUVYUiRF29E51u+LCRzJcBjn\nZzsmBsy6xiKUoizdznGk1GPFpI5KjQOBztHIuuq8xoHASFDUCVyB27x2eY7Lsn+8xG0zuA8T\n5j4jvcCJytTtoURF0x/1tsZHT1S0Pl/0vH3LOyZbmON8YmuHqlH+kL6uxx0xw3Y91D4ondD8\n4E+GUAhu5kcr5xR3miUn17lrR29Wtt2ZYuJ4LhQU+3r8egNfUn5snegYhvl3wIIdc7yUeGy3\nnVW+vW2kpjcQEOOXZEEIeA46wkWVA1pQACBAhtNU6LboBU5SNH9UjsSU9tGIwMNpNmTYjYVu\nS4pZ949PemRFXZTtSLHoPXZjSZqlcSDYMhTq9UbMemFelqOqYHyH3oOWixICq0GAAWcdZqe3\neFDRKOUOSZuaRjmC0nRbabpt5l6ho5WTYvqgdeTQLBWIyoP+2LnzZ37juvh+MdapZuVbDQKl\nVFTU4zSx78j4LPAHX+M+YYSCot8Xi0Zlk0mwO0w2uwFAcZnbkWLq7fYND4dVRbNY9Nm5jtz8\nFG72szXDMHMeC3bMcWQxCKdXZpxeOXXyUFRtLCIRipiiuSx6y1Qxoq7Xv35X70gwNhqK1fX5\nKaU6nru8Kqcya/+lzIU5zoUzMZ0/zWrgOdIxGi7xHJzeOkbCGY6Dp7jNmkU5zk3Nw6/V9n9h\nYebEZHlR0V7c2ZPlNOWmzvx0N7OeJ4T4o/KhG+P5IhLPEdOnruFlpkFVtcb6oaGBoMWqN5p0\nY6Ph5sbhNI+1cn46L3DuNIs7bdbnNTIMk4RYsGMSRuC5I+7BNj/bMS/L0TwQaB8NAyhwW8rT\nbcdpJaBBxy/Mdr5ZN5CTYjZOCi7dY5FPusa3pksIo45fV5339Eed3aORsgyb3agbC4t1fX69\nwF97UsHxeC10PFeQavm4Yyz/kNS4o9Nb7LGyxZgzrqF2MBQUqz+XZ913QT8UFGv39NfXDixc\ncsKOUDIMM+NYsGPmOkJQnmkvz5yNjcrOWZDx2Jb2h95tXVHoynSYREXrHA1/3DG2PN9VOSsF\nHE6uy/yt1aXb28d6vZGmWMBlMZxU7K4qcOmOwwS7uDMq0//yQdvG+oHPl3vizyIp2tuNg23D\noa+fWnScnvTfVsAfGxkOVX8uf/IqV6vNsGhJ1kdbu3zeqDMlYQNn5hiJAAAgAElEQVTGDMMk\nFxbsGGY/o47/+ilFH7SO1Pb6320c0glcut24dlnOvKxjWMR6nFgNwuoKz6w9XXaK6csr8tfv\n7NneMeaxGSnoUEA06fkrV+YfcX8W5liNjoTtDuOhe5eYLXqH0zg2GmHBjmGYo8SCHcMcQOC5\nz5d7Pl/umWbXsxNIscd665llbcPhoWCMEHy+zFiUZk3AYth/A7KkGoy6Ke8yGAVJOrgPCsMw\nzOGwYMcwU2P5BYDAc2UZtrKMBKwF/rei0/PhsDTlXZKoxtfGMgzDHI05vrmlGvb6olNv4MUw\nDHOCSHGZ/b5Y9JC9pmNR2e+LprjMCamKYZhkNGeCXaz1lQd+ettXr7rull88WxsAaM/675yS\nbbG6UmyOnCUX/WRjH7sYwTDMicmZYkpxmWp290Wj+7NdLCrX7O53OI2uVBbsGIY5WnPjUqxv\n422rLrqvPhz/1+N/fW1w/ZUvXPHbLYb8qtUlxuG6HS/9/OwPW19sePLCE3yTeYZh/k3NX5RZ\nt6d/2wedDqfRaNTFYnLAH3M4TfMXzfwG1AzDnMDmQrBTPrzzpvvqdZ/7zuN3f6XKMrjpNzd9\n+3++tDOafvX6rX+9MIsHpLZnvrb6y09+586bv3TPSXNmjJFhGGbGCAK3eFm2dyzq90VjUTnF\nZS4ocrGLsAwzPRmpjauXP/jZz1P7ye53P/tZZtdcCHYtr73aSk669/l7r8kGsLDyz3dvemHt\nU8tv+smFWfFNYvVFV/zuvx5+8ua33m7HScWJLZZhGOa4SXGZUlxsZxOGYaZvLox/tbe3w71k\nSfa+f+tLSvJAiosLJx3jrqxMQ3NzcwLKYxiGYRiGSQ5zYcQuIyMDI83NXqwZn0FXeMY3bxxJ\nKZvcjFIeGvLCbGaXJRiGYRiGYQ5nLozYVVRX2+ime//rn/00foP1tO889OBXF+8/Qtn70EOv\nKvoVKxZPfQaGYRiGYRhmTgQ786V3/fJUXeujFxS4i6tufdk3+T6x9rmf3XrJ0uW3booVffP2\ny5yJqpFhGIZhGGbOmwvBDqTo5jd2v/j9tUtSww113eLku0IfPPLT+//RZDzplmffuOd0a6Iq\nZBiGYRiGmfvmwhw7ADCVXHTnCxfdCaod2GfCeuZPX/vg/6qqK9xT91FkGIZJArGo3Nnu9fm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+C8nMgabR7g5t4yvqXx7kv/4fMB7Dmri+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\nCDsAAAAAjUDYAQAAAGgEwg4AAAB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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(dm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The diffusion map nicely illustrates a branching during the first days of embryonic development.\n", "\n", "The annotation column containing the cell stage can be used to annotate our diffusion map. Using the annotation as `col` parameter will automatically color the map using the current R color palette. Use `palette(colors)` to configure it globally or `plot(..., pal = colors)` for one plot." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "data": { "application/pdf": 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X3vicm81cqbCQ+Ep7viyFcJbZcYxMP8+kQj4MDtNZIYg1gBXjOF9AFfIwkz0izo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\nCjE4ODE2CiUlRU9GCg==", 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tN/dTv9eTeCHQAAwNkXFB8fIUTblBR1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\nr58vX/vjH5VllUkdkqb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T19PCmKcvNw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\nAABYAlOxAAAAACyBYAcAAADAEgh2AAAAACyBYAcAAADAEgh2A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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "palette(cube_helix(6)) # configure color palette\n", "\n", "plot(dm,\n", " pch = 20, # pch for prettier points\n", " col_by = 'num_cells', # or “col” with a vector or one color\n", " legend_main = 'Cell stage')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Three branches appear in the map, with a bifurcation occurring the 16 cell stage and the 32 cell stage. The diffusion map is able to arrange cells according to their expression profile: Cells that divided the most and the least appear at the tips of the different branches.\n", "\n", "In order to display a 2D plot we supply a vector containing two diffusion component numbers (here 1 & 2) as second argument." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "application/pdf": 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ux4otXmYyfkq5lC2Hw3SbnGvhJr6vXySuZiTtU6tVSSJ5ZEd0a2IDJlbhUZu4iM\nba7Mx9e6rW5si6mv06qgQShDte/OTExQ0ZhhCjIOEVv8r5Wjk2ULBlO1+RBL++UbXj1bUMxk\n1vF5q8g4RMaXsst7f52WaGsEP64hM+ZDvJMEvXl3YmKJgr3MoS/BM1Jsd5XLponIknFBnKwR\nt6va9gPuVgLOCE6k8PmGeIL7XTKOWUgXH/iq4GAwlW5bjKX4sJ9YEt0ZvdWGYKCryDhEfrAQ\nOALQSKfczXllDHKEUd3lVLbQA5tEd2ZiYhE9ea4zQRf4wcKH7GhrJDEHY0nLY/WubTAZRxKz\nmIm7R7Z2a0hwfUtixp3iCRzwV5q5IsLWXsMcQeDliSnQndAkDmspNGTsEqMDa2LemJeF/uu4\n8hu/FGx6QLbugeEeOMavdWnh+VM5e68CKrC9VS4/iIspDlgbLF/gYeXvjZgwW+GDCvEEvT1W\nbSs/P3UgoUpbQK7djFbrB8KjK/IfljOOv9+aqZAA9hzA+2/lMYK5rBzGzoSGJz6iPAaZif5/\nlsMIFRkfUR5jzDNy+O/87ZzEPAKAX39oL9oDqnl3Qib1MBBCPEFvPzrLImN1QR4aOotjrahO\nZSs+IFt3x3iM3Ixq0obnT+X+ZOErq1E20IimDd0swFAesEbNQBETjECWCHR9Cb4VDDyVLgcD\n33LTnDmVyohJj+6njE2iO4NVw654fCjN+Lpz01BvBl/oenoaqTNYpSNt1JztD2wS3ZmJiaz0\nY4XSjM9II720DIGlU7iTLYjKXnDpmJgHVPPuBEMSKH/u4glGe9pC2uN22QlWTqD8fNEpTu0J\nrXl3grbXNVbioS9Bb88lWdnYsRYujxyr2DSjlw+ktt0w+ihSsCUpNH+qDbcJHMLIUFYc3hnk\nqDRzk6xfsEl0Zyb6E5h1HEozvu7tY4e2ym+1eWpuMAePWIQU38QDN0/NPWw//mZZTLeKjNud\nmnvInbzV0zctONNWuYoPVXt6YJPozkxarNXzVvHAZ2xaQFXOU8HIg+VkgygMETWNWg+o5t0J\n7uTECs3FE4z25k/A2A9Lxc5BcUal3jD/wgP9xJLozkw0QxkzDxUZu8j4RKuCQLvtXXB80SGA\n4yw4cSW42yaEIIqylVy6yEX5oZvzJUqaNIWAFI24GUU0UeZltfXWJ64WWjBm4jwJp/+tIuN6\nRyNQAd1H97pbGERMVfRhV+bNE0uiOyMzE6vZUJFxiMBC2G39yh18P+ebKMyZXzauOh+QzbsT\nE810/CqXzzgkkE2ixQya6CQPZ/CIqnLWZFp9QG/fnZm4VkBW260y4zPO88DgeGlxsDQfe0Gg\nGMOYETC2nk9ozbsTDPFjbRv6EvT2Cg4cSqigURv4oOEL3//+BTbZp4E3ZZmHNPH8qdwjS+jt\nSMy30NKiyXq1SBLCNAmycb8hVgwWWKIu4vlDNX+a1p/Mh2BCUBA65mvX2VsPuFhqjxEcgugK\nNPEEo71WYrTfbdWilRiZy7YGwMNXv2CT6M7gwKlDBdBCacYuAse8PMcbT42jX96JooSlVT6B\nJ6ZAd2LizzuQfuoaMnYJWWMn0xMK3S2yxsTYfvOzWCQvY0l0ZyY5LjGZhIqMXeTHdGq5jQ++\ncpUSxM4UkjFIc62aoZp3JxjRQvnQEE/Q248HjEws5MZijykfcBBW3w3J0dh79MC7PWARk3at\n4oGGhox3f8Arg12y2FWd82YObbxblN35xM1KbRoz8aOksyJUZNyiOifcHlUDogqwBrExeQY/\nsnyBi5VSNWJCeAIVUUw8wbv9+FhRUFEDmzyohpEGMLMYYwaLHdJnGGMavacSFJw/1bLvVOZq\nbDx+AmNQEMyix5k7+xOtVjzeCZ08MYWwnUSRlL/nvWBStBr3wRxKVIVja3vCGjXuLxbAoOuF\nPhGXz7jGVXEOAvaLwEpX+CiIpgqMiw7qemIKdCcmPryVQ4ZryNgkfkzYU8DzqqoVfwrCjh3U\nQSEPWK2MkxETn99YtIV4gjXKPuEmeGQW3WPVfqiY3Y5w2TWuP3AxL6ExsoZYviRUZFzCsQhj\n3Lz4jdutgziY7oy16/4Fqnl3gi54GGkhnqC3V54jUlS2bdEQdBObyvpYPsYTLxpQjJj4Ag4e\nRWQaMnYJDEEHbxSfrkpt3oylsS/abfnEh9XNNGbiZkdWMQgVGR9RahOV9pD7MHrXJU+UE40O\nyV1lqh5QzbsTjNNhFR/iCXp7rZWwYRb+cytJHIxCNHg+WK08cfGSxGIUVGe4KFRk7CLoxJdS\nRRB/KToV2JmiLQqrO84ylkR3RkZus1PDeERDwrfIuPCmABF66a54vjPo8kj0t2OuHtgkujOT\n3ErIFQ6lGbsIXy52W252WgtfrojCxAos77YvcLHaHUbQNIMTzMUTjPZ6uXDUIdKJuUcvV8xp\nJ3kpa+yJJdGdURKXjvJyFRm7CH8qV3CHVRQ3jG6IWJKt/hK01v0mGl7a5NKC86dujsAnNzpR\nH30pQWz0vsAI2b/AxYLGRrDwEXbru3iC0d6+mqXEbGRfDRnNR3hsXHY88BYnPm3au89ow63g\nE0VzJW9hWN3OYtvnb6ax5CmCw+0LLLYX3piJmX7cYRIKMi6xfb6d9rZ822QQB5cQTUnQD+jb\nII2Y8PiREunSn+jeNHkonZZOEs7iQaje1rGoitUnKpbU4RibC6ZbFHBOmnmxokpNNAi4XHLi\nYCbNrg2DD9ispqwRk+yBeosn6O1/TBgTPRygNIFgVh7nC5OI8YUErX13RoMP84xCZcbHnSRw\nKBxdTy82YURTCSbOgscDWvPuxAQ/GwtLuL4Ez/DZYB+szf7Y7cL3eJp1gFwCHL7QvkA1707Q\nWDi3W/oTeWts0Vi9JunKv7BXQ6d1oibppR162KhmyfXBnAq62cG2GbZIrj9VxBGbj5lMHwoy\nbpFc3wprtioMfmn7ggid01OVZ/mAat6doCcbk6+LJxjtdTrqSpfAYtkgN0NXEY4/5dCS4eLZ\nIGIUsVvstGAqyDhE5OOg57/ogD65OcjY3khY7KyxmbFJdGcm7t4+LTFZSjN2EeULI3SOCitK\n7TcCh29XBTbgtHxgE+jOTNrBjUx+V5ngcef1X5d5RFertXczsu5wHDITPB54tfJ5xii0z+CJ\nq8g4RPR2WVP+8OOybsaOxxpvT47xjOO4LDETs3qQbBMqMg6R0ZGPmLN1ym0QhVWBW7FhP8HF\nTq01QnPsdYR4gtFerm1VMqox3TnDnKJiafkPWH26EzOxwIemN1eQcb2nuyMSXbSxKojKfVSw\nevYvcLUtUkbQSsMQ5eIJRnuF9jFoInBvYbZgdgurLazb8MQlwmyLTvfBT2NYLVRkXCLM1opZ\njIdtSHVikzVQ9ZVlaM27ExOnt62GeIbHvRUVKSQcAw5G7n7OwaASH/JZ6CP8gk2iOzPR2cya\nb6E0YxcZBulGz8iGB8ifGgTqusIMWbcnUuN+EwUhlOkWLjq2/VM5r7ff6zam7gZx+rH0Wrkl\nqObdCdoVzJjZ75XbO/T242UuXM3iJmTJBKEC+lXHYT6gV8c3YsKPgukS4gne1fRRf6Iqz1zV\njZxYterD6RrlCa15d4J+e2QghL4Ez6hr1BSUp2OepqETGDZOeFLO64Gscb8JHK0zhSzhnFTb\nVsfzc+52QpvnEPg7HyhmbmFO1FOIEs5JMy/WFLFfvbB1ENpRjvqGxxfohaqN0Mp/O2/xBLe3\nb1GpxUhTsiMfgyk6zu/U/vMnXvzIx9P2oyN6zyMeXUXGIaJBwFx/2mpjeCz7eBD3tZm1kbDa\ndycmrjgZr3aFCR4e2BpTCgr/oHoYd70E3uxkeEu7e+DFtr1cnoXH3xvyn8hbc8nk785cgk6o\nRAtChccX2NwlWP1lbvIBnvH2PmALlyCO9vM1KiN3QeCFw/fsCd3vaLHDZp3geuGaQlh4Tsr1\nDjcdNrVeXnPFmU1HXtJcbl+wSXRnlBrCDfGhNOMraq6gQPqmrYsI5XAIIIEdFuMtNFXTyNCa\ndyc46IxnF+o+kbce11s5XEKfJo4gyktfPaMsCa02ETixnJo4XFh4TsrN/OBGJATY1HWcKDTj\nmu2Yy1DNuxOK310lxBOM9szdPNn7Ls5izN0kgRc3rL8xDmMWzdCadycmTA1j6R3qPpG3Hh+j\np9IcNm04sdn5ZTrFJENr3p2Y6DMY43zoS/CIacNKvJDi0s8JXGLYNZu2o34ia9xvourQ3dBG\nPCfltq1kt02gh+0qEdY5UE2eqwesiigE3mCTTrc08fypnMGdlTuHoQ+99+ccxEVNh5ucCap5\nd4IPFFZliCfo7dlJOWAtrKbJPqoBbGFBNVQi3J9QrfuNmyIQoY14/lTuJvliMWhuonZiVeiy\n2X7iBK15d2LyLcuhL0FvP66omn2M+tC9F8TGEbEtXDc84GLOOiO42mk2wm8qpf4Ooz3Nt9MS\nzDC/03wToUKWVZvKH1DNuxN0FGCGd/EEoz3NG/kOmoXtgzhpcaPG8/kFNgvAG0GDEQ6EEE+w\nRcC+LipViTWxVnQ3oyXcpfKXDxgrusuqYWJNzDVJKMj4XtFhlccirLDUbBO+M9qlwG2r1zdc\nfRO+GK2vtOneVWRc3w6qXVRpv8QJ7s5UK/dmWZ8PXOIEdzHIvLMT20Npxm8nuKNAJrImyuKH\nEQdTdPjwaccfPfDihxGLmVhdEPk1oSLjEOEenc026h/aobPZNsjxOlkT44HYtAfEnrU59BB9\nKLUcY0vP0Y5Xxxddkcem0PgnOmzvquOK5z2FKOH8qdgGgssCaBs3HQWx0WFNd+n6hGreneBA\ngGHbxROM9mZwuHG3usEh/zqSHcLGSNDzGIww23G9xRO88x6q5ZqMGVs7C4K4GBeplr6S4W67\nBIzg/DFeVEh/oj32FDRVzKUHRUOdEzsfCpbt7QtU8+4EA+ZYQIZ4gt5eeZlVQ5Ml+Duhs5X8\nFJ4MiyXsG8HFFepEhXiCJRL8d9vuD4qDaxA6KGHfwoT/gMUmBCN0xVv4A5SYPHbbJrUoVEAT\njgRnYO63YQGhBK15d2LSFLyGeIbeXj4rHmS1Ll5TLJiiLZIo/Hx9w4vXFBOj7Shw8biGBEOA\nLgfW8MAXymzMIC52r301Az7Bw+oFG8GdGmbMSjzB464vjNLDGGa5t/uy7T5k1s1qHuhctgc2\nie7MxPOWWBwxlGZ8xZYqOF9houP4Ld9O6oxtH0WhmfMbju2kYlQPSNtHXUXG93ZSeBKKHJwH\n93IFcXDCwSE/2xeo5t0JDkBcgrl4gt6eV+R2MOQk2ognrHOFWSV4fcKiLRmBF+3gCGni+VO5\nGT5Ku26q0xD4YFmGqqOyH7Cp5ELgTefThTTx/Kncf13RDbTDVpAidnRz3P72RGrcbwIbUbSC\nlDDxnJT7Ctm2P10MxDhB2299dwW9Q2veneCUhW4V+hL09mMBsnAtyv1HrLcXROV3hDzI6wtc\n7YB7IybuZRq3ZOIJ3u3Hb9wjdqjwixOrjKFmlbEStObdCQ54cKiHvgSPCLwUK8qN2CrGxJ/z\nzRQOiygbx4oKDyyJ7szEbAsOEa4i4xD5wUNwT/pNuDfw53wTh6qP4ThKZJE/MAW6ExNHKBYf\nCw0Zm8SwCVSQCN2Y6faBTxrIOApy+QLZut8YgdFx4ZDeVKTtQ7m7Wg990ws3TgTRmFsCif0L\nVPPuBKdLhCRCPEFvz9jHygXRaSaBE9tCGwCF6DFHJmjNuxOMfeCDD30JnmESNCujwmFs028U\noePSqxVmyXC3UzeN4HoL5zGGeIJ7nNLJXiR3lNY9QVS+tqYR/AG9jJgRCmWN5+fiCa5vZcdW\nbrBSck7VFUkw1QcKz/pA1rjfRNORUaGNeE7KbWzFkh2Dkc6/dGJVnjpOgtuf0Jp3JzDWhej7\nn94OKYFFmTHcV6GUQGcaX8x12R6vBDdLeROBrA05tm75jLdIksNYfGlygONXUQESKm6HyfT8\nAtW8O0HTfD1v6U/krVndzDqxypU7Prg8alck/nzAZnXHg9jgl55CmnD+1G1u8qa563QvedP9\nmJOEO1oyLO7pdGLVOtWlVzk6P3TbFw/7k1E6hh6DOOXIu+Jz/IC7pWsbwe8P7yfEE9wjvZuB\ndqQctN02+d2MPvJy6YzIJ95t/54xY/Bu+s5vFRnvseVvtxP+aJNcinaK0AlkeDj79oRq3p1Q\nuRekIrp4gt6eEzKrQmKPNSugOrFqvdk2C9R9QmvenZhULuQM8QyvqIDaLCPebQ7HOv8Fy876\nQG5AGObutHVyUcH5U7Heo0wilLy3wr7BeKRiZYLtExev7StmYoVuVvMNFRmXKO9bl6qZ8lLd\nBDjMxKDWI4wipGpozfSJXaI7M8VphLfSjF0EF9YBOFgXbJyQb0aVx6GWfugHlkR3ZmJgjDNa\nqMjYRRSUpHPJrO+fczCbVtkIOfK084xNojuj6grIkgidCbqAkoi2S00sLcGJM4p7SihjCnQn\nJq53kSxwa8jYJLS2PLh7+vTzFZ0pKqrK2gjbF2wS3ZmJJzK1W0FC3lyDEisSInNPpduCOVmr\n7dIOoAdsXrpNzMSuahlkkk+w3aH03XYnnp6hawSWMTLQWGk9QWvenaC9zpRc15fgeWfoXguL\nIML9bAlaRpzKx2LNyydsnp0lggegKRnLxBNssULgSawyGjbLTdBOkZW+CBSbWp9QrfuNd20q\nDG3E86dy7zz0rOGI1HJY5yEDhymqa546/eWBTaI7M7GaOca+W2nGZ4yG+GyZB3QdjHxpbBBz\n0YuAL587Kh5YEt2ZSYWI4cYMFRm7iC36zD7Yii/6ZP3APuSi7gvc7cwbIziB4zmEeILenkEZ\nFQrwYw2D0CmG3Ar+BfoBhUbwijheJcQTvA80hPOES6OD3YG+WBIbC4/D1wpjKENr3p3gsgTL\ngNCXoLdnt+VezHU154tjbOjHQ6FHLKFVvhTHWBAs6rSUFZ4/VdNTcCnXFAtrOredWBW2ORuN\ntwyteXdC6/azhXiG3l5VymyRsqgOqBOF89WbN/UDqnl3gmsgHH7k4glGe0YreaYAXPybRUdJ\nwMmP5J/x8ssTWvPuxOQVS0Jfgt5+dJpq+eOHbbZzYmMGOcr3Lw9kjftNNGXVhDbiOSk35wBL\npa3NaqsGodMuqorBPmCzWqlGKLmtnLd4gi1qq7bFBs9qvtAg5JTCeb/LF1jNq2mEfJLoyEvs\n+/uA9faCqrwWHWssAh+ENmbwHPovUM27EzSh4ZQN8QS9Pdd6vhVClSGDQIUWmKXKqP1E1Wo8\nBrGq8nEIq8BFUs4vQwcpMVNmsZ3ip30ZCGrvKoL9gKuHKETwy8CY4+IJRnvuCjq5c98rZzmx\nqlAWztc8M1q8BpZj+KimECWck2a3cxD5hkm+q9pcMMqrLle1zPCMJdGdmXhyGwPDoSJjF9Ga\n3T537R0MYuNWQTrAv8DFdgEaQf8rnZcmnmC0V4B7Z6qVOdBvQmtCRq/rN2xOcSMm5ekt7U1D\nxuFGxzpl13yp412CsDqkV8zOH3D3s10uK1e48uSnkP5E3hovVJH1cucNGhGJgotKKGV8Jw4u\niqWXyBR0lRlH6qAFIjU1WtoTRpjLVvsJ7haTuMI3cI6ehW2g9993M6VEsJD0tdjIdjM46IAZ\nD/RFZbh4jEfMpDOHlnYryDhE6CDwgsU6WcsJ+GoWbsvykME7tObdCfZR/NDQl6C3p/FGHwNM\ndDl7jFi1YEW6SHtCa96d0ArAYrTmbfuAZ6REMvX0UhdWIORmCkMfzF49v+HFYhvGKL+VMTZX\nkXGIjHd6mZv04of8c3YCzg/Mb1afN0Fr3p2QL2RYCKEvQW+vCL4ZnvKkBXFxLEaEvnyBuznH\njFAE/7xu8QT3cKbBWXks2oClVeTNKBEOtv91PGG1RaEIVWhgARsXT7Dei0irGol1uxaRRmzm\n5beK1gla8+4EbWN6eV1fgkf4X1B6/5g9ZZ62Iy+Aupm0DPcErGUPvKuOsCsinD/Vqq+eVkbr\nYLo2+qozSuDC0MR/H1gS3ZmJNbNYTStUZOwiyhRi8eXafNtWMGcsATlnPHCLbVt2QAnPZlz3\nNxUZt9i2NQwgfDesCLrbuoPEyuc5XkY7H8ga95uw5xva9ICTcn/CKCyIn2GFnJzBhIup7ao6\nTTxjk+jOTDo0kMdIuNKMzyjkRG/JKv+Jshdv5mC+Ip4fd2g9cLOERGP0hOFsvlVk3CKHkY6/\nS8UAZQDdjDx/sF74Cx+4hAF02C+2LNBbRcYlDCDkwzMF99ppAyvfXszJMvF4TsyYeWBJdGcm\nznsY2W8VGbuINhawbCsPtrpsa4EKuSpWhZ64n1+wSXRnJgZFma8SSjM+Y3LDU8Doj2J0qrYZ\nzGmndKNnrF+wSXRnJhY1Z5AzlGbsIkwz0v7ianl+QRwMqeOsSUue/oDVMvaM4LqIJ/PssX35\nA9bI8BsT7XrI/FyZSx3Epol4i7qJH1DNuxPKjD3OEE8w2st3eMo3qPKFQRQabfANHscTLlaI\n0Ahe8awh/YmiNW0jbX64fOvWFlspMEG0M/ZSvENr3p1QKcixsA59CV6xdWs10xAzl9wiN1NU\nUAkJTdc3vJinw5iJ0wp8IaEi4xD5wZOMaWZv1SqL3oxyiXDmH832B65WJtQYHeRx2NmbUpFx\nfassakuudrxs65EROFCC3nLlJz6wBN52z5ZmEZFQmfHhhylVTA/yMZ6LBkQjDobSqqq8PqCa\ndycm7BOC+RviCXp7BXDo+7i81ogzZVFtkbpoD3XGLtGdmRhqgQPzVprxXWsE/lPuSYRLjJHj\nYHAU3GWbuJEcl7FJdGfkHcZXcivN2EVsgzLPzNK+TdugTKZpeX1pl/ETS6I7oyMusO87VGQc\nIspI5B7KplK0ykgUo8Ukxl60fmJJdGcm1jFAymOoyDhEbJ2BQFRZ36rkiqlRFZfriwde36rk\nNoQicQSoV8WlioxDRAtiHZjBrTZaEItQ2c1y2Vl9D0yB7sSk6t1bfdOQsUkgH6mqABeWWioS\n6cyqffJYfiMvPEFr351BOmSja+lWmfEZG87Q12At45Y1t9+MTtHA16lFfMaLTdTGTMxth2vT\nNSQYArostwSiNCnjkTez842gL2KF8sTFwovGTAzSwuV7q8i4vEUkTxmBiMWvbq+SYRKr3FVM\n3c/YJLoz8ndg8AydCbqALURglyDgpK/IGSzqaWpWhokf2CS6MxNTEjBZ3Eozvu5CXwhSHbYh\nQXslgtl1gN+pellPLInuzKQtCbinUJGxi8g+R25QieTwm5FvAdZ3Wb5hz/c2ZmKf1651V5Hx\nnSIOoZV1k3Y/Ai4Y++gR7ti+4d2PgBOj4kywY0NDgi5gFYMRwS4txklnDhsXVzvyPuMW4yQZ\nlULRuOgqMm4xTrZqpuDhGRtGIJZV6YT3bYDv0Jp3JxTaQp6G60vwuLNEL751r3Wq2BaJ/aUF\n/3U9UbEz5ILgaQjTLazTEZJyc1DIsbNbhc4g5A5sdpZThrtV3DRC4cLjusUT9PZ8pnLKH/Yu\ng7j46pqiDQ942Fsxgo4fHofr4gke8Rb3Ldy0jV7YIA5a7s3swwzVvDsxKRNovcUT9PY/pmXG\n//7hb+ax0tz3a3xN/zWt89+O//u36Z/+eV5ey/yv07rMfzfXlQ+oIpFHcSksI/YazJ/mf5z+\nfv6PabOjc8qssF3Zr/nPf5j/5/zv99X+6l+W+Y//Of3Fi5que14K5ZxB/ZLS++c/ut7/9vth\n9pP7nVWD3E4YunVDWva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S/9jDrOsUMxYPIEAADb6MJc9jVQ+o8f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\nBMUOAABAERQ7AAAARVDsAAAAFPEXw536G7edaboAAAAASUVORK5CYII=" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(dm, 1:2,\n", " col_by = 'num_cells',\n", " legend_main = 'Cell stage')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternative visualizations\n", "-------------\n", "\n", "Diffusion maps consist of eigenvectors called Diffusion Components (DCs) and corresponding eigenvalues. Per default, the first 20 are returned.\n", "\n", "You are also able to use packages for interative plots like `rgl` in a similar fashion, by directly subsetting the DCs using `eigenvectors(dif)`:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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" }, "metadata": { "height": 720, "width": 840 }, "output_type": "display_data" } ], "source": [ "library(rgl)\n", "plot3d(\n", " eigenvectors(dm)[, 1:3],\n", " col = log2(guo_norm$num_cells),\n", " type = 's', radius = .01)\n", "view3d(theta = 10, phi = 30, zoom = .8)\n", "# now use your mouse to rotate the plot in the window\n", "rgl.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the popular `ggplot2` package, there is built in support in the form of a `fortify.DiffusionMap` method, which allows to use DiffusionMap objects as `data` parameter in the `ggplot` and `qplot` functions. But the regular `plot` function already returns a `ggplot` object anyway." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "application/pdf": 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ot8AxIY0sUdvF4bOrcXlasRg5xcHrvuRcnInW2skY96ITdMiWrMAtM5HxcNDprA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BJm1LZTBZdNiY4JoGdosQMAAOgsEhaa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9bswOCnIjiopKuuRePRpsngDAkKbNmhAcHnDxbFn/X/sAACAASURBVHx1Za2Hl+uk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\nSd5coRDCarWaTCa5q3DIz8/PYrF48xiqVKqcnByz2Sx3IfbZtmrn5eV5cgx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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "library(ggplot2)\n", "qplot(DC1, DC2, data = dm, colour = factor(num_cells)) +\n", " scale_color_cube_helix()\n", "# or alternatively:\n", "#ggplot(dif, aes(DC1, DC2, colour = factor(num.cells))) + ..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As aesthetics, all diffusion components, gene expressions, and annotations are available. If you plan to make many plots, create a `data.frame` first by using `as.data.frame(dif)` or `fortify(dif)`, assign it to a variable name, and use it for plotting.\n", "\n", "Parameter selection\n", "=========\n", "\n", "The most important parameter for the visualization, `dims`, is described in the following section. An important parameter in v1, $\\sigma$, is explained in its own vignette “Global Sigma”.\n", "\n", "[Other parameters](#Other-parameters) are explained at the end of this section.\n", "\n", "Dimensions `dims`\n", "-------------\n", "\n", "Diffusion maps consist of the eigenvectors (which we refer to as diffusion components) and corresponding eigenvalues of the diffusion distance matrix. The latter indicate the diffusion components’ importance, i.e. how well the eigenvectors approximate the data. The eigenvectors are decreasingly meaningful." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "application/pdf": 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H8jE2SO+qORaDryQxEoFaWhTWgPOogOo1OoEV1DP6K7qBW1oRfoT4RVMpVa9aVq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", 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ampqs0phBBq5qVLl/KcM1Mt8FwAAADIp+sUu7snbNt25d93vf3rr4GIAwAAgJvl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\nQmCC" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qplot(y = eigenvalues(dm)) + theme_minimal() +\n", " labs(x = 'Diffusion component (DC)', y = 'Eigenvalue')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The later DCs often become noisy and less useful:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "hidden": true }, "outputs": [], "source": [ "oh <- options('repr.plot.height')\n", "options(repr.plot.height = 3)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "application/pdf": 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uF/NKLvmknAoG2AKj6NgEspIcSp7QXYrwSDUXRpbK4IFpRCh0Dp6xdktQQDzfpH\nMe8h+4c367nQ0s80WgXYkwanxEsckIpOx10KQ2satKLPo1UPbpyYLLgqdyJjGY7gBaemB9x1\nla3Ehu8OWVRUD9Dlxcpj9fdld1YOHUYUxpwTd6tHSPFpBPb6iQPN1AN0eU3LojNFczSMOD0O\nhvEtwO45Gqd6VwqTMkw9wH7laEh89cSc233BDIIp1ojOjjfcfdvvYDRVvv42XD1Al5e32uCR\nR+gBL1UxYg8pcXtGQJCdFz64hdR1Ob88m+Zsw43lPWmZOSe4AzLljloFESatHafEhjeOZB6q\nB+jy4nBkNvF6L+pdUUKWbeJu6nA3PZEKz4to9K5YYzD9QtNuLxRUu7nS2EF44nrJL3RPYxei\n39LYRblfaey3xu9p82KyDBtVQHQesaGJ8RFW26FDghbRKJd6gPWxR0d9PFLd2D77gyZo0c86\nIgrbR4+CR2lzVcBPaJlTXcV91EMv5gT3r6aDm9gjPLQFJRCylaJFph6gy8sahLGVxs0tsgZR\ngttb0s5ITYQUn0ZsTE7Krh6gy3NUk+BItYpPTnSMtTJqqU/mAa2CkxKYziUfxNUDvFd8KqiE\n6XuKFeseYukSjPY8oG8pNgLvfHNt3VH8aJve20z5buaKEtIONjoxRBqgik8j4C8WA8Wae6J+\nC4UlrBsklrRbCnanz6cw5RqrjgdS4XkRjRf11jiShcbvqbuNKblX6q54DTPXPdLZAlRxS93N\nKKmBzTTWXoAmz1JICH0lcwEqrurzKwyFBZjMBUjcTnMBUpv482zcg0RS7uxALRANEglRsB1E\nYkDi0XsiCk8nqmQObK4L+AlNmxNAXIHVQlJOcMkki3x5jxFaiEkJfA7i7DHtJ7oFpMRHk+gI\nSWa3gyg8akbiGMcbUnwaQQdnSq4eoMvr+5Qyf+3rb7OgQxy6MNBlwwO2r79NBiIGjkYw5cwq\nxfemudrakSMpE9ZZsNpSgmc6LEMV2awRUnwagfrYBXtrVD1Ak7/NSN3KbSgheVXj2rsVoIrf\nZ6TK+hrXFPSA/Sq3MejX6cXnQCWaTnr0E0VYfA5Ut5F8oZj0VD3AcpsDly3Mm5BUMbWxWTv5\n7Jb+/oYUn0ZgSEOY09QDNHkZRNVXcqpD1QjZEiILewn0tBqhik8jUMtZfFLeXoDnlZ48tIpe\n/togqkX12C29Jt8D5q8NooC71ug15Z2pmPemr70I2Jgr1t4Pf2M4hYhpSiiBEiDFbS8CS7Sg\n5KOpB2jy6kmiy1lTCIHFIZ209Gd6QZWeF4Gyrptpa5XXZ9vmgZCOIGE4L/4PojAfQwy81l7w\n8L0Wg18hKrm79hO5tK4zxfs7LOhGLLWLmeEoy40nouy8cLOgm7ZlmSr3pu1iiKKdVo5TicE4\nKPJTWTb1DlV8GsHCfFqiEu0FeHo5TvEq9WuGpMuqX3OkuKRkKouw6Q+iBFxWSP4w9QDb7Qes\nWD71Uz0TiqX0a9a6LfUFKT0v3NUzYa11eiYejdsr7agkW+2FChw6Au7i8Q0IotNh4tdumoCf\nR7P33XFSf9zd0iA6TATbDhdhsXPabHecnDSkzmioB2jyapwxlJMP24/Xub7EdAnz6w0pbuaZ\nJJwc3NBm6gGavNgTFUNUsSrDRlSWFZZEOLHsAixWNVgJVKeWXA1vL8B7leEDpglOXTv0a68M\nPCQ9LqGlNyxe/QIELJhduxPUAyxX9QuJF8HTZdE24srxYUeWWkC+bUWJbttWqNt128qjZfqn\nD3Q89/k7Uenx7djLEZD58J1Qn78r0+cfGrceIxsDZbKwjXHAOh71gTVxhJCeF5bEubJd2jvL\nhT0a94B+x/JCS/IZwexeBOx7fsFiJflIYEGNmdHUAyy3knwFq3tsXvUlfMUImdUTKOHVCCk+\njYAxgX3Pph6gyYtR2KxoHyubOnEidzrlZFX/HrBpsVIlNs5Xx6UeYLuKmw7uO+3M5VeDaSCX\nzqxccYhFSPFpBNIkzM6tTP+8Q5fXtyrnqzbPIlCCcQxM4ecbWqBCCRq+qV3qAd4CG3vBgrs1\nLejjBPe6pJ0ndUTYtFCPEnirqIil2k/UvKxPkq12DD3xsB0nCqwdhK3LGyY9PEeJjQv9w9UD\ndHm+UzFw9LwvvlMQJ7fEyeSzLOwI222oGRIH0NO+XD3AdjNC3ZSorB5pxLWLXsbCCClutsWx\nuSV+GRN36PJ6RU6oWgLNCO7ZRYv9DasVQiOBZ0QBIVMPsF4V0QZLAstRQ8NMbRCJnVuGsP6G\nux1EQwIeJ/XwivYTuTT7Dca8pCVxneApodIvMGQGmLTIrRIMwEnXVPUAXV49JDvMW8uwUaJz\nD9lg1uYTFd9RpsShO8pM+dD8mkfjTNw/rD7hgb8kg58nuv3pj/LqNRV6hwViuGCdPrh9JCDK\nTsPyicjpRtWyqNkjb81e2WiYWdXUIR6a2zp4IEqA3VJdDTfWbvHWGjcFPxpHijuSwwfOLTuw\nRfdiKoyTLCc+7T/D1JjGbDhxTT6Jq4mITeWXTZLm9RAxbDczXPC7yM9TX4iy0/AaMZosFFWV\n8PNsGJcacDLK14N8DcMsYCOvJL1Q1SQMwxn5GqaZEa58NIuXKcb/jpPmeHqKEfIiZF9zYxwl\nQBWfRuBgOlbk1fYCNPlfNg2TybnLCIwY7pi9ZXPHSBEVjXIYxgFwm6vyPLhnw748zPTa7OYA\nBjF4HoksAdMbNisSQwJzI+rCmHqAJr+uuDdzN2hSihEn81B2ngQXYbO8lF0PhuvcaeHqAbZb\nakphyHTgsBk+o8ZX92r1V15QxacRcENJWr+3F6DJyzNm/JiyJuLRrkoMxo3PE1VJnkiFp+Oq\nFaisMYbhQ9u2JJVEjDNZ2Vcjqm4LPbBQjzBZ2VcSOCIKpUhMPcDkZV9P7kk6rWSSYRZJGiey\nJwKyKkiGtWSSqbJk0rNhXwCvEUrUdvNgCCF9WrvkGC+o4tMIHkCnXRLtBWjy2l86dgDpiVtG\nMAkT/aG9oeVYKoF5306LhXqA95zMaqfgWX0KEqcf54gz9h5IhedFiANPK+XqEXujnp/QuDu6\nG44JvPZ3gShad4wJ+xGm2/4ubLhsSBIw7SdyabX5kfGppwsoTjxNgJuJAtrtaAFiKb5frR7b\nqfDzbNhnWh72oCfdKTH0nHWZS9sLdj/pjgRPukOug7YX4O2kO1kXt0anlnUXEMVTy+VeI0y3\nTHM8mjyoppYji/kJXV62XTCdZ5zWQZVYHQR5ybng7gJU8WkEPgn0SGsvwNM7aDqZ1aCngy5D\n0YjCPGP51kdEFJ6GcTjo5qo8KzS0jAkX6SUnc7nXdAsow/7RxepgJ3tCFZ6OG+cIbQro82jX\nh5Ydh5jqYT5GnCzxOHgCW4TdzvMhsclPi0rIph6gyevGSm5C0FNRjRhar4+1WiNsdioqCS5F\ny3GpB9iuhdresOdSHYycbkHAxYgTiseIiMLzIsRHIUOLKQN/QuOeByrZ3QeMQ80DHdzTkyz1\n8w0pbpmgJ4YWHG6i6gG6vA7XawSXuG8z41qIsbtbFEcQPqGKTyMYVG6Hq0fYH/1GPigEZazf\ngGCmNVrc37DbiTckGPPp+VIP0OQtTI/DmrWmrRGFJZbl4Y439Jq2JDasx0dy9QDPW03bwQon\nmHOGTkkgeKKKTDrym0dI8WkErljwUFQP0OXVsd5hup4+CYKwTfgHRvkIrz35IHDFrPOeqAd4\n3vfkF+RRIHvbvetCDE2o3hEFiLBZuJ4EJnrL1Yd6gM3D9UIhNndqDNYIefMn90+IVR+gik8j\nMHIjk87aC/C8xWC5N0biV7t9jyCSnld16kbrO9q9vMmpe6kLk3SoS/wJbfvleFKRDalKsMAZ\nGtQNPHd42JBKgjt2anb1AF1eP40BL/M14YPoujNTaiBHVG/T/TGY9X1ul66exvhs251CPGv3\nimkXnrZrNUrqeMP9FtNGlb0+PIgNP8ITurwah2tdsnrh0GxiEuehn9KBIvQBqvg0An2G1fW0\nvQBNfk3AhSdfnU2v6MSJ3RO5VFu4PGDTFpTAipcFHFQ9wOZXPPaTHsZuUVElTjqrxE0hHssA\nVXwasVlkw5p7on5FRRvPypPULW6SN0IPHZPaD/kNKT6N2JC8hTpuqh6gya8rHgUvaTD568fH\niFMLXx079rsHqOLTCDyhbAP09gI0ectAR35St+RfrMUPPeH95FL+CZvFfg177Fdbs9jvvXHf\nq1dwOEjvZtqAsPTUE4U7IqT4NAJfPtNTqR6gy6vvYsfCuJzmEQbBSpr4ts83pPg0YuNu336p\nB2jy6vVG1nl2h/DADHOqA/g8IqLsdFyYnmCqRTeL3Bv2+ZdTsnylOv8KkeEJw/x6pBek+DQC\n3i3x3Zp6gC6vs6EcoofkLZ0MBXcefyKTXX9DSM8LS/qW+iihfXBV92jcl016hGqydX21Q1a5\nkIffNcBkp/+QoD//GK4eoMvfQ6OWu2ah0UIjTUOjd5Qsdc2IXVPXqMqTXR7t+iyYked31VIA\nUbx4glgGER63WgodeYCnF09oTAS7Q5fX4YWpaerHM0JPaJfhY39DL/ZMAolPcNyZeoC3es+D\nH3JjQo1GRwdMCcwrFg59QhW/RUfFz1y6q0do8rL5ZPBAsop7kt0nSnBTrOwiQaZTgBSfRuB7\nR3V7Uw/Q5FmhQlwow+MxRmgARk4TKG/o8RgSyGeRMUy1n2hc8RjYb0eRqdmSyZQYGqQ68GgR\nNksmIwGDlIEEVQ+weTKZUDh6PNuhB0bUr0Yi8Nk+UbYjD4zYeUaHK++aL/xo3J8QU7GuRhVz\n+Sm3nwLwpahiW4mqoi5EH81eD4bNSCUXfzCYyigQPXg8XYQUt0cTS3tXR5GqB2jytkbDhsfs\n4wsI7nHCEuyFqu6+c0JL27py8p/u1njYdFOzVxTjphuZmm+bbh6Q4vdNNx3DiG+6eUKXv7kN\nd42X3Vx9cFVdfsIH3DUOdrkNu5YiVr/hE7q8eLoas+uG1bRWQswAMe2k9OTRI1TxaQT2ZaEU\nnLUXoMnLQJrhphNzmPmHSoh5LSckLGNSXk+AKj6NoLUtDg5rL8Bxyz+s3HbSvWgiiXPXragH\n9hUEqOJm3w9ahnYqcz1fsN+KJspp6Ve2gGFmB2CqGxFZ6F+xDN4444+qhJ9nw/5whX79wxcv\nQlQWuLTFS4DZz7DWxcu5a+xC1QPMtx0N3OOIMIPVcBBCAgT6+vYakArPi2jclO+tNd2K92jc\nnUFMm7ajqUgM1rGAs6fWCFV8GgGHM8+i0vYCNHn9DHeYwsUtbRBZTyhizDRCik8jmEHTuqsH\n6PKWQYNF/GX4gqi6HVyLEQWYb7YvNgbLd6rmLtQDzDfzVzcvJ8xYupo4UKRLHaOyMS8gCs+L\nUD+bK9MRFxr3eamiX+0eoQehY5nMPuUNfWgjsclnxrGM6gGe+yMlQCxxCQN5PguI0xNYJFUy\nwnbLZ+mZGTSWwAL1ANsjnwX+qPK9vN0JsybLuap7K8DydWc38MH9u6Z8fC2K5k1fHz5mdvOT\nkDiTJvsfmJYCVPFpBF4oHSPaXoCn+0k6E3/OXUcaw8lsa0l+CWjXYUOxbCc+dL/BafDzbPhK\n58C7sLTOYhuQkcc5WE0owsPSOocVFzr1LCStJvSELm9J6qyi168sdWSdcWeCpqkHWNwdu3Nn\nUTcvUbaNSQ9Ybu5YJkn0ccvlRtbE4cnb8hEFqOLTCIxrlryN9gIcnss9uNFzTY007xWfBwYH\nmwUfSGWn46oBGW2Kx1g9G2aCjJwlLA4sVhdRfOx0gGcJfCLK9MQqP43YxIcFF5i290SnFxfJ\nMOMSGmSV/ovhidxZtpHVn2E7dluZdU2+MmshwEuB5lNnv9ZDXYzQc9kzY64RdjvUhQQDXJJg\nZeoBmvwvqMcsy72TG2Z+fJzQ0qoyrZU3pPg0goGKPlw9QJeXZyyYGSWSwBWMEQVrlswqkAEl\nW8EoMU5dwajy0B2Pz8aR+lAQ8pKRXHqOQZaHFxttvBBEp8GBEuzWDtGj0cuP/tHzFM2NLjOk\nzuj0od/AoQVHFbdhHm0oNsvfuTdri2rJ6hB3n5a2JCEDO2pZ1vufKjYJGmM/1NgCvmQ17lkK\nK75aKjUInuuEuGZ+Q8ssU4IFZUe71AO8MtFQPlHG3KwxOicqK26vrp1yRFkjbobF2bhdqgI/\noWV83st8LRg/8Gk74oGNywpnTecXxmftSMKQOCDR1EF87o37zMrY3dDzYUicSXeJHgz+PaGK\nTyMws+IENmsvQJPXyBxXINkjECASvM2IvOU3pPg0AlfEEKXqAbq8ej/XSzmTDyNKVD39+YAV\nHWGyYYQElg0cN1Q9wHQNI+LtbZiP9EwaJSTPU925kssaoIpPI/ARcM7X9gI0ed1Vl7Ba1mrZ\nRlQtjz1gnkaYvFr24EaGxo/F1AN0+VvNpO6RJBIyVXe12/MLqrjVTKqwjxg6uook3WG/4jqS\ncsGiGNfBO0L0ZOXe6hlR88QmI9pV/K3uhj+hces3sjMCqWr2bYCoEEW/ON+Q4tMI9BueEa7q\nAZr8zc7FwSc3M3fX5CuefRwgpeeFcUzZdpm1PLbs2bjb8AVOa4nXqhFf4FAwM0z9Cw9I8WkE\nVg3I9zX1AE1e1ykVEt2D5CCan50MlQApPo3YPpql5uoBmrxteUMO7lVRD0T3EnqDw8cD1ltF\nvQEbIvkGDagHaPJm68J4NRdMsZTQpqEjtXXvUMWftm7W0BHaC3DcXDBykiGKebrzXGuDVt0l\n3CLa/UgHYKkLWiwjriv8PBuGWc2Q+eABET8+hpttU5Z4WkCUnY4P1uU3VR4W8WzY/QQFy47h\nq2gQXV89qxVHSPFpBDz04l9x9QBNXsyXhFyL1d9ZB8iIk7PecfBklABVfBqBFQN2hFt7AY5b\nHaDK/NUDy2SdmpjgCttF3s7+hhSfRiAwp2kpov1ELo1lrRqYLGFhuIrdqPvSnyBpPQrDFuWs\nZmNqFPTW7OWHhC9sdF+xc1YtGm2QiShAFTdXXaVd0ZqrR2jykllPe+3segqVEUilL3KO1Knx\n/idWhWkEc+uz6wdk0joDsiihnjRihBXZ3Vn0IMBqJ42QQAeFA9nUA6y3k0ayOcGtrqQSGbMW\n8t3KG+5WWpIEwuIad0dN3wdyaWZSnNwrkjW9XonBjb87Ax4RUnwagQxD1Ow29QBN3lwTmMRt\nS48SVavk7ha6eMDkRXN3nlfYTt3FQ/UAXd4+wRNfSbk+wVO+uc5dsRoavyMKe2QcX1zWdGmk\nx/Jop9D43UPf/QweI7KmCB52ZMMD+hk85qFveuiOqgfo8ra9Djk99fRMgx09O2nHHOcbUty2\n1x0YZHBssaoH6PL6K2oi2mHpIiCKluDkueURHjfDgplpp1oS2VPRbtDlf9lqxmays6GIx4+P\n4YHMMK3vEBBlp+PMitmmmu0szVvDGEO7e+cQxjXc8NY0eTagolFZwzKYbq55fHXT/tWsr3MP\n1szyeX3QhyipT1jH7m+YbkHxUzLtJAamUXCoB5g8KC47/nALB341hQ1R0TVP8rlugILToNS3\nK9TaHuiSpGOO2SkF3k7FJ29qcJ/2E6nsdFyYL2VNAX6eDaNT7NYJuENfsTi1JOOwNFb9eEKV\nno715ARrjCcrPJtmonnnOd26o01yzY3JWrg7Mybywru61ZXZZJaRod9aCPBSwPYu+RFl0oax\naXhYcSTpEgFV3c1sOPHzNlXmHzwbxuusiGqfFbGAHx/DPGBXi3YHRNnpWA9YNlUe4/Fs2Ies\nE9P94efOgKANifynUV6wW0odCfgakUNn6gH2K6VueDkgPXHciIEzxsWY5JEcd1TtxHEjkp44\nbsqJZws+G3cXAd1ex+5lOxNieZIcAxfA8YYUn0ZgapXvzNUDNHl9Qo4et7TvA0/oed77G9Z7\n2jeGk3zleR/pBU2eBSts/Vg4gJE4uciSghRSjSNAFZ9G4EPn4uzwBegdmvwVlTr3W0hKHDO7\nxaDaC+4ej8JI44VQNZplhVC1WQxhBfPIaZWGDbOysCxR6wtZ2WDF42QStKoSfp4Ny6XKziAK\nHPF4hxfD7RkFO0V/hg99LcrQ1y+HkGsLAV4K67IHy7fLlg2GGC6mIKRQdl0wv3DSiIEyG7Yg\nHt1bCPBSENdnQnRZhlW4B4yQexOHQF6/NQ4cDFgVphGIpYhHwFsMcLiDIDfd31R0peJEl+S9\nrGHegIquO5xIPFjWlYE/oXFc7+BW3cHTHOXEMCUyVlj5ODAoRkjxaQRL/MuhfqoeoMtzf+WJ\n5EXm0hquyIkbXAUFlDQx1rBsd0mbq+7c/fBoGA+3zCUNiXDN7kTFIl2ytbH5MMCka3Al6DJb\ni3RXDzDd1uw8HVm2p7GQuhGaDJt2C+A8YLJC6iRgakohPVMP0OXXt5G5OYU76n58FLMfdzle\ntBwvqNLTMYpQbaZM+Hk2ze+fxxVJcwUZIRdDd17ZWaL/jakxjcGHKOOltRDgpUBDkDvkWR7V\nMPfZdG5JCyhprVPDO0qxmiaCUc9mMZQeWHPIiMcwrWJudpPzQc4XSroeVjxQTWYzVcLPs2Fc\niuf7ymED2BVguDJaX/C9BJQ0yd+wePw318QpI89muWpmmSpxETJZ3ohq425KL0ThaVhW6rLt\n13SJP6FtBqcyEzF3TYN0AqdoSylF5HU+0a7JjUaIkwKFk1SZ+BMax3DCuh3Y44zhhPjkYfLy\nZeeIVHY6bqxIY00Bfp4NeyJNwULPao4roUfiDg6OEfoJuUPHSsl70Q23J91Md3jeTsiVKRhu\nSCtCTNy0CC2CdgFlq0Gs+NAaxNQ8WIL43qw/2ukrHX20k+ZJZTKZpMZHuHvqHIjN1jumHqDL\n23YxrNOPcW0XQ35cH7Y/7A0pbtvF6Aaofbh6gC5/pQZeZ6cT87B0zQV8AD843RMFm9UKZCpg\n01KBV7Nyof0j//ztX34Ocaid627+czs+f7X+9y/bP/zjZ72Dzz+vz/Lz13JaEk96Zz1TGU65\nBViJf/383fY3n3/fknrLszSJQ0by509/+Pz959+ui/3FP+2fP/7H9mevaW2NYoWKlWD+u12S\n7f7pj9buf/v9tqY84X53yPkJUut8lyleDtOqeUh3+P2P7S9++d3+u/1zfH7/y/ab//Hf829/\n/y8bVX4H9aVXzhPlJo/VP5fptT7rpbdki8jerlEKyhbpeczHOcQcXKL/8Jt/+98//tf87e/a\nb/7w2/Kbf/3X//jtP/7+r7b/+fttzZ3pLIccZTuOsy2jVTYxNxnX1oOUykrBUkJHXrXBzsp2\nUpMtvWFB8U6HB0t9ujJPXX80jS6wjN8iq9nVcViSZ/3RVyv3G5GSOMgfc4KH1trFIjw0H0wJ\npFiJ4WPqAbq83E7Hkb5ytG8f64Y+clptfDHnqRsbjUCOkLio9A4iVoXbHUmWUM1XiwGavNxR\nteJFOfdUq9zRWkGuDnW7o+OQlJn7HR08bszv6IWhcLsjyUqWMpdXCxGrxp87CdkVcjZTy5kG\n48pv4oWzWlDXXUluzpFuTUSc3ej6v9d5co3KMmS326qMIfttvDA17rdVuNr2JiJ2lV+uAWKN\nDOJ3OiXYgm/XUZGP6TxxArTkAlWZDuMgkWyIWON1HmvB/ft/3n5T7mRe3VTI8TPJo/2Mzeln\nDTQ0uwaKv9n+Dw84MogKZW5kc3RyZWFtCmVuZG9iago1IDAgb2JqCiAgIDE0NDY2CmVuZG9i\nagozIDAgb2JqCjw8CiAgIC9FeHRHU3RhdGUgPDwKICAgICAgL2EwIDw8IC9DQSAxIC9jYSAx\nID4+CiAgID4+CiAgIC9Gb250IDw8CiAgICAgIC9mLTAtMCA2IDAgUgogICA+Pgo+PgplbmRv\nYmoKMiAwIG9iago8PCAvVHlwZSAvUGFnZSAlIDEKICAgL1BhcmVudCAxIDAgUgogICAvTWVk\naWFCb3ggWyAwIDAgNTA0IDIxNiBdCiAgIC9Db250ZW50cyA0IDAgUgogICAvR3JvdXAgPDwK\nICAgICAgL1R5cGUgL0dyb3VwCiAgICAgIC9TIC9UcmFuc3BhcmVuY3kKICAgICAgL0kgdHJ1\nZQogICAgICAvQ1MgL0RldmljZVJHQgogICA+PgogICAvUmVzb3VyY2VzIDMgMCBSCj4+CmVu\nZG9iago3IDAgb2JqCjw8IC9MZW5ndGggOCAwIFIKICAgL0ZpbHRlciAvRmxhdGVEZWNvZGUK\nICAgL1N1YnR5cGUgL1R5cGUxQwo+PgpzdHJlYW0KeJydeXdcFFfb9i7LzCxzljVKxpidzI6K\nGqSosSFiQ0URFRGlKFjpVWlSFBUBIyJiQxCJFJGiCIgaUMGKNaKSWEBdUNAI0SRGfXIPOevz\nvGdN3vLH99f3G3Y4c2bP7H3uel33yGXGRjK5XG7mEhy+OjZ60aqIaBs3/8DYsFVRMrmxTCaT\nk88UiZdJX8klrZEkKqQBxjgAX/gr/6/rlCCT9TPpQ8594TPD2LIvOctsyYn7qp8kqGTYSqWQ\nUXI5Zb9+6+5vRowaZeHu5jncysp6xpq1CVHBgUExA0eP+mbswNUJA/+5M3Cmf3RwYMTAYWSw\nzj9szdpw/4iY//32/9/6vzc30LC7/zOUPSJbl82WrZf9R66Qu8uXyk/Jz8ifyd8Y2RgFGIUY\nrTWqMbqjsFSMVCxWeCtCFVGKeMUGhd5YZqwwTjTeZPzG+E/KgzpPtVJPqZ8pidbSw2gb+ht6\nOh1Gr6Vj6e30TrqAbqJ/oHX0S7qH6cP0ZwYywxhLZjaziTnHPFaaKb9Q8soJymnKxcpgZa7y\noPKO8kdlt8kAE8FknomvSYxJhkmuSb7JNZOHJk9Nnpn8YfKBNWEHsAI7mLVmF7LL2FA2ko1l\nc9kjbAVbw55ir7K32Ta2k33Nvmf/ZDGSIwqZoGFoOpqDFqIwFI92o2x0CBWjCnQJtaK36C+V\nTKVUqVW8apBquGqEaoxqgmqyapEqUBWm2qhKVe1SHVAVqEpU5aoG1Q+qVtVrld5Ubao1tTC1\nM3U2nW+62HSZaaBppGmC6UbTrabZpiWmJ00vmd41fWj6wvQX0/emejWlRuoB6oHq4erx6snq\nmeq5ajf1cnWIep16i3q7eo86T12oLldXqU+q69WN6hvqFvVTdaf6lfqturePUR+TPn36fN7H\nqo9tn2l95gxhtwcmbJy9BbMbEr4N3ah0WSg0Xyy+dE3rvvtIzCX+u/3lLB4Gs7k1KYlRMdqw\n4NXrl/LO/kcvXq4ue5krvsjJzyrLVSIpGzZyT9LObajVPg+2vzCcx8NssAI7YIeXg8ECVO13\ngS4UbelZMSPZzLszhDk2ItJJb9vkLd2SvFshdUs5XOO2A+uPazt8x9fhPjwea2GHB4w+u+h1\nlAhzvKnu6FMBbhq/db5hsdp1EcuSXXl7j0Ong8S1xzZV7ahXjqF3OOWuKPdVzmrsCAIF3/lj\nQfVZsaH26O1bmpeLmi1KtXhuAzXmcGjZFc2D2w2/gvK2p9UOLZIPEhA25bF60jxLu9N+8Fm4\n2BZPXU0qXhegWbI0ZPpy/9yiddqNeWl5W2vIj2DTrLsLQeBhQMftt20rvjcvEe0PUbMPRhTV\naBq+r7h7pzpicaYWQckgFil6l0gch5vsICqOxv2tbPCXDk6lZ1dqvS9EdL7UwOw/gIURoHji\nZlOg/YUGi0hs/Azb86NnxPi4ieMdfTCFv9DgGBDwKFjyW1vN45+0xZbUNRp1KoYKiBuro6sO\nfVe7Z2fG9kPae0xW/OYdifyUZSumiaMdZ7fofdoln04G2QnX02vP7nikfMeoFVIovOW+Pb+5\nMq5c2RA4r3w6jwePwsZ4Op78ciAMhr6PH8Ln2cRMtkkrV83kRy5+CJ/BF5fafm6pWz09W0TS\ngFgBD9VbY02RAI764tAJVEBSQlIQn7QpMytBnMZsyc//togvLd93sEg8ciiv6OBpSOpVD0Dj\nhdeCXIoYzKLb5AmvGLv9AcdCtQHV1+J+5O9fKzxRLR6t3Ff1VAOvbMld15SotXHaxNiQ5GA+\nOCQ7P0aMPLTlyDVyl0FQy0GptIDCChr7YcAhABRmaDheK3QzSNraG8eZjwmcNkWc6bja6msN\nVp4Y3T5VO/Phi6C3PPjDJJgCQR8Cfna4Lz6a9k3NIB6/1vfjYDFYk2MxLAJrbI0XYzdsg0fg\nBcMnH2uerXW6E9j+UoMyJgly5O3r57201q/h3Mnacw1+tUvFFcYlh+KjYuLioqPjCooPFxQc\nFtFiAea4CChDMAvzFMwqR7NaM7cVLNpNpm2J4cyHvKdRgTmLuGPLF5XH88mpKcmpmd/uSxGv\nLS1c22StTNy3Mz2b37Nrd2GOePr+8boztcr8Azuz9mqyU/duSZgWEB2ulaYwayt/DCzg9+7Z\nm713287EPNHnZMjpVQ+UBZvT9qTyKVu/TdkqLraJDvNaoVyXsH37Fk3ynpR9u4/l7D2oLdz/\n3f6yQqV6LMugSaw6QwdZOtig6/e4Gx53u3SbfXjcH3T0vfOHTteK1ScKLjRpunwvjqjWmkl3\njh6/+FBzKe6M/3Ftld/Sg448bqC78R0ONoATc6E8Nb5EPBJ3INxX45sUHhmnjY+KSPXksRN+\nzkEWxDFmH3QNPpMmL/WxE9UFvY4FyEuQV3VLed2KikNcbWBrB+XS3BbxhocA4o02EP8uvNv9\nrvjijW/1WGvq0vwppaN4UikHE+vEW5aMP+8o3rrLhV3ccKOFhNN7UMHI21fXrTynrVrNVbl/\n5zRNg2ebYxUeOdOlpGEpCfZn3RLbrbBi0QNBOiLt5ULLFjpT9cs9C2bxePgYc+w4Oc+1cqk4\nx+HYmhv3qNUnL6+7y4NF1weY+SjpSnij6DKLywndHbBCg83cpoxYFXTwWIQ2ppZLOp5afVYD\nZk2t3XUn40OOaFF/OKWjXaojStacUPpeim3VacD21R/wNQx7NRTb2sVO8XXXrvGPiHIJVNqR\nr2J35kZ1aXFZrfLUlcL7zzUvY1pXXtG2ugw/M5AfMTZo3nzR1TXcdrBmXOH0U4u0ZX6lMTcC\nldidRjh6PtfV6IC/xGZeDmPHLXkIHHze+Og50a4F8a83e67d6uCfXUOZ6/gVYQFzNotX6eLd\nObl5PCI5t8FJ0O9jhs9cgJVYOfP6r1pp3wgyQbK9kQ0JkykbWETDcGyRLKiJRzsTj+4N5xC3\n4wHbHSO40qu2hka7826oi75w+uiNUhEqevtS2IjGrvrV2FtaTWFjGr7Tt0S7JG32Tv9yEY04\ny2FsgRRfgHo1TsIYfTet7yt1U8M+hndJXYaIENBqFkqYHdDvwhVgtimfMUSRqySg9NDVG445\nBgd97IPDevtQmDMsAhp89UCpd7DWzQv+hbjXAexcepLVxNfUPPo1tqTUHC51hFJaHePOoowC\nOF0uyH/uhhdvFDAPbnKQ8B3bTUu8MewDD+bFI2G0qA4VpL4FciSt6y8VTsCNDIrRSW90aDlL\npDeziErZ7MGaDchflTpT2J+7LblENLNoE8wGXGAzXrMwpUDe0g472xUtP7LtcJr580rL87Ij\nKRsKtIcTsqMCNPg/7dJApmve5aEOy2PmLtVCBYMydNJNnfxFt/RVt+JFfzhOE8ko0EIcrMPG\noMXzRXyc7v7Ic9JNmMbAkEeW2AXPn2qJh4iI079hPNcneqZty9ixWTuTSc/etT2X72mo+Uns\nNSWSt/UOLpDn/wKR3Qp4TmydzSxMC0mM0q5JCE4M4B39zj4Tz1rPZTDbNg36gtnjx9BPK9UR\nmfyJ66wXkI2epuOmLU1xJeXRpfonEb63wecYbNIzG8YjD0EaupFVIA433JQmr2QS5yZtnpG6\nYfuAZQy6L1nelT9rV8CeWKFaoPPYCIFB3wiPiRzTYC8HiBzZepYC4iwXpZnQCI0UVtH4P3qK\nkqgRH8O7GfVKQX2+rKS2UdPhcNty4ZJY/1DtusjEZaGamM5ipvFEzYXGqmCfxLTE5GRtQkLI\nxig+yKGKRhldLAILnEn9SmN7qCXVawtlSQ9qFdCCdUE+8zWWHY5gcv9qSWOdtqzyQHnOJeUE\nemLM6uBp/IyltU3XGkpBvnNfxvZ9IgKrjSyad+xE5DX+w93fYSQwAW8dH4nD6Se2J6yxiWZg\nwCy3kKhDxzZrU4rTC85rwIdB3KvrE3FfjFwmjhrt9gT6QJ+mJy9EdQuzbdPm7Yl8YHJ2jQj4\nOdHZCDClJjAgm4BlEwyDEaCmUGZSyo5k3n116GRvEV0juRmKOJgFeykrGn9OStJn4EYNo8EJ\n7yUJtYh6SQMPy+BzvIxC8IzDz7p7w0fgu3oEd9GFMy/2kHJdyBG1t/ZIpldZyXQXqzdtEtAr\nVv3em9nelFd2fJfyBOO6NdhnkmYYg8ojV/mFR65YHnHk5KnyI2RtmoDMzUmlIoHTpoMqEhW9\nERz2xhPxBOyJfWEcnkB+fhXYwnhYAcuxLdji5SL5wd+Jnd1TSWghiHsvB6P3CgiBjgDBQzgl\nKBB1nYQSXo7H43F4GfaC8WThEnJMIA/yAi9yNRG7E+cOCI8IDCiPqKneLqDprBxxE/SF7TSS\nrFvRK2zFjRzyisbT3336r44UwP4Oi/KrasW6k4fO3tGAgMrLa6oiKoJE1O92O2S1T3uIILxZ\nWkS2EcCq78LYViR/2W3JIqtXLIopE1AP/Hqbhlj8K/Wexrukz2El/EoNoYmqL1OI2ZuQuDOB\nd3Zzd/Evjak7e+bwyTKxsHxvRYMG6Yc2S4E3Wb9d8XlxygCkgNnEGtJAnX4gJEkjdfrMj+FS\ngU7vQKORrNSf/hskI05Kwr7UY0avhQmSFsYZhoYZNe/KorQKtrrp+4jDqDmDRfp4RymeRvok\n8KUmMZIWT9Br8TjD0DCj5nquTMH98WcLp4wc4dYKZp/KkKjWyWF9l0LKlrZz2AN8x2Bf7G4H\n7kTaOVKgFDjHoElqNI0aBP3r/oUCGsvuZSrZhfZjRro8BTWobzw1AB7dO6SDbToo1ZGgHtVK\nLvbpkLglax3qXUI0uQ2+kIzgCzksgC9IMv6CpK4vFAhSf5KfgS0KqIHbHN4yA7bQ6oz0jaKa\nyyRKOkCUVFofd4UnRQRtZ3/UD0TM6r1RhTHakIqGBGTv7j1SxAFkvwTj1aIOqdAWSYHN6PoF\n6iqD83A05OEoqolZcIEirna3QwHWToLtx/AOGvX/x2Wqa4jLcDCRONJEBib2JyN7MkJOwgT8\nM12Io6mTdBFEU4ibD5VMe9WekhPi7e8r7/+mQVqwBOUDrGyxdRziQBAzJw2dow88RdJXdcwh\nPy/NGHfPkTYLrr7U5iM4QrvXNUQTgPBVF8jBHi0R1E+Fc7RZA7oseHiEhXuIn4SYwFw8Go7W\nJoeneyo76B+Qfhol7bFh0IgXpKbEFSSdhUl1pLAWyOH+Hwq4jzO4P5BnVXNYKw+sgTUViUjT\ns/QH24Pa4/vzs/MLlWjzHbl04AqnT3KSkggEmAg77AogQSepC/qh6CvCnhPlKPqhw0PJq6Bf\nVyc4dKAfBYJ8UG/9E/mO3noO9e+AFEjDKaRCSJZtQWRVjK5XW0ACXQ47TsPg0wr4iJ4LeLbB\n80vZ6k642KlA8vp7UvI9RT0R8B666G1v7+GNSOoZAstQ7NW96Yd4BPYGTaNoHeS0Q45O/vkz\nw09lvqM/ZWRE++NA6hFdC4FkPAiWkcQMn+EtCAfiNAi0RacaG0+ebCSZdxUJPHMaVQi+1Bpk\nq/fAAZIHetQlabsQDjmlQ7pepgAVwG0dgsH9e717vT9604aQqbpqCJmYR9KIR/0KOqd3Ihj/\nbrygJrp5YEhiax7AogLUIofsFoV0FH2FM65+ZRzLIP3RxdJR4qEPpOkEmUQQt+bMrycwszbG\n+aRr/Znm9NpzzzSgYtSPg7VJx0u/vcdDJXqsgB3Yg3tskH4QgaMJSPbZzBljxkbEhq/w9Q+L\nHj3hm/Ey2VDZENnnMk62QOYhc5FNk82UzZLNly2Wmcm+lPWTfSHra+iWGMuUsr6ybbJ62U+y\nHvlE+Wy5q9xD7i1fLW8ymmq0wug2fqn+00dQ/0mw8rnuoazalditq7WfJL6c9dLsHkTCc24/\nXUO/Pr987KjFi0dZ+jT8K00cQ2ctzPbPD1U61twLIoB6WE8XCK+CGsdXiGbPmksrG+9r4LOJ\nDzGPzafaY5tt2i56R11Wyf4i5amCusOX+bazPpO9EsL8EsXo5NBvXbYr1a5EhyMfy+FJlwKe\nwAwOz+iCGR8eD5aCnRn8UO9NjWDgwmMOR9EQBT9Rhu9Lbs0sAURmlS0E2J1mzG7PYM1GRRh2\ncH/JPIHwo3jCj+oN/GjmClYNEf+sWNtB/syqDIt0jNmdR5dv3L1Z5e+kxR87yITh8ka13xzD\npSQwPe4XhjuuWue6VHslbNXh2bzZKEefyHkrxAeM2hXPbJRLD3E/ro1VY6aUPdppKahdFwvm\nglovfC+QOU/Wgoiz47l0pVUu2b1USDs7Ob0Jve/6sROdF3+/MuC3y+cfvNBcj76yqlZ7YpXn\nd078N06h8/3EKP/Ny9OnK7vonQ27y3MOK+uKz5Re5J9cXzh5YciSeYHiSHdsMX7l7BQ8+ksp\njDaYDGofQGJbv5qXzi9hOzmZvZF4qS/3oL64+q4G6LGPcT/cd8wkTM0qDrq/TGv2buJqX1d7\nDR7wZiQMgoG/voIBT3yv2Z3Smr3BSsjnHp5bPmP20uUO07zrW1rO1T8Uzd7hJuOu6wttx7q6\njRq34FrH82tNBH24GsI6h9gsR8rh9DldvYELmTCsiNuAv0pQzmU+idbcBt5t8u9/gRNEA1ul\nYxywiVNbsIyf7OjvvEpcPjN+jKEVoc6f8v1creuJm2FtPPBv3hK5vvymB5s5Lo708Bdh9o4r\nv73lb37v63hAJDDInnt2cYHVqAVzJtrNv/fq5fWbnaI6plgqzAO3nNA8+inbjT61Ns3+2vC5\nhLnvd+7Jytqza9fO7OydKtWpnN1Zu/buzNq1K/u2ylT20BAoc2QbZCWyKtmPchv5OHmuvEj+\nQv4fIwsjGyN7o1CjJKM0o3Sj74xuGN03em30zqhXMUxhqRirmKpwVmxW5CsOK8oVLxU9in8b\nI2PBeLDxOuNk40zjCuPjxg3GL4z1VF+Kp1ZREdQe6ieqjeqiXlFvqLd0H9qZTqMz6Cw6l75H\nd9Kv6DfMIGY4Y8M4MNFMPlPF6Ji3zL+YfytpJVJ+puSUonKc0k45XempXK4MUa5VblRuU+5X\n5imLleXKm8oHym7lb8p3Jp+bDDMZaTLJxNFknombiYfJUpN4k1STIpMTJmdMLphcNmk26TYB\n1og1ZfuzAmvNTmRnsfNYHzaa3cxuY3ex+9gD7CH2MFvGNrJX2cdsB/ua/cBK7L+RETJFg9BY\nNBt5oRCUiJLQNnQAHUXH0RnUiK6jH1ALakPt6BX6E2GVTKVWfaUaqhquslGNV01SOahcVItU\n3qrVqmBVuCpGtV71rSpTdUBVpKpQnVCdUV1SXVc1q35UPVI9U71W/aH6S/UfU6VpX1ONqbnp\ncNORpmNMp5rOMXXjsD9h6SNwPE4Akh4h8EVbaeM18fGdswQiIA1swiLY4BCtnTGM/gMjPB/P\nHEyI+gg8aghh8U7g9M5A5gmCreawxZjBeCZ27DKfxr74QAiE87h32FrcMeX/DXwQrOEe4jUG\nELevN/wTrchNY3+jW2ENBXvbOLyBJo9+RiH56U7IbVcMFJB0rIFL3/JtxlY+Yn3eERFuMN2z\nGzE3xSXWL1BrKKhzDM08SymDg7ERI9vwWH74pLAF7uKcGYHmmNVgVc2QuzO1C5t+WvsLD7N+\nfw3uRaIVnbIkOXhDhHJB+PzgyTweOhKU4AwLOoGBwdcuJ0ZUiKVReeH7FyuRgWBPYylSp84a\nGjHy7m7JmDBUF7jDQSrdXuP7jbjdmVq+d0VuuBaoYjrocOqR9DfbQRVfPem4UneqsqFDA/0m\n38NDtPgF4U60NNAYsiCWuVCRElcslqzLDVmpGbvCz0KLDrPvts++OkRAt1YtK5vDY7MxmMWT\nxhTOrfcQl9U2Rl3ib9WXNdeJaxk80M/TfGZA2fUU7Xjacm+rC9B86w8lp4+LJxvybkMfDcG5\ncw04d5BOP4jg3FH/g3OnE2T5v50FE/cVuSVB2sCyxJrLmn/6Cxb/GgkOMHUDi4KELILURjFH\nzKkK+sh76mcG9W7oD/OJ4cxprNG/wBOlF9TXNB5PhgIZmtOwII39gwZb6TVM0r+mkE+gE++x\n/HDdGjGuIrVi+wUlkhsAy9fkuaMFNHCR49g5q07e0krMBL0FM/b2oj+QdL4/jJAKKRvaXG89\nhKDgofTXeuuBZDCSBmt9IdVDv5VG/ks/kgDEry8zizPjw/x5f2SArXVxTfzfvY9vQwy9j/Bw\n1pOFOXYsmsv+QD9+jSSWg+2GjqSCxq64Fi+AWgpTNGzFgPcbGC8Z+0ATeOMmChWMYpEt+9SK\nukVbZQqfSiJ4FYwVyOQTK+oH2jKA8HA8RG+N+U/t1sLQ8ZRfUkJSML9hY+buRHEKk5Kfv62Q\nLyvbd5DY+e9260ZDu1VqIwYospNG0Hpn/U3KTrqg0zszkpN0nUJEYOfpAoLhYIF6U2AMNys6\nR3gWbH/Rkp/hHO4ZKF4Ocy0dz0+bH+sXJN4WWvnWU2u9xFhm++r1mx1TbVO9kkOSlC47WJQx\nT0CGFkfzad952r97G53OV4YRaqP3SmOv0pIXMeP/NGXsX1Nz6TeGpkyBfAxZrIPsO5D2P60P\neMXhV1DFwDww/j/tj3kirsKPZjnRML4/TL2Dp0IaONAtTVHeNeKJpfnO1hrsMtUSm2uxA62G\n/VKhhQBHY1l0oryNf3RqzRIiN5IWxAp6fjrU07hZr6KmSVPu4zYGfpBMiXReLGERLwTFfEEy\n1XdRH2hUk19QXqt56FE/zsbb2yZde4suy8zdk6styinNreTPlUWt9IlOGieiRBYOEKL7Zy/P\nQYpOf88OUj/yhPOan2N2LExaG7RV6c9cz6o8+0TzlpDr/KSYyJj4sEhi0EA8lRyB2A+m4ekE\n7IbDFJhMGHIA2R2ZF+cbk+gYhM1J0puNB5I0OgtPxoNgGEwHR1JxzcFBVOMIXe/nBcRb5FbE\n0ffRxfTNimhvr5BwtwVrSm9uE+fToy57ve65cfHp+ZhK74Nag74H6KojWbkU1K2QgiCEwyHS\nOp3+S9gJH3T4AwlhRvfRiMEX0th39DMIoaBIR8gbTYzxnvqdRq3gtFNAmxP4TZF7sqNEFLOE\nUGdiTtS6lUjw9c3f71x0gpJlDF6JD1GuDLhe5DBHAwdTKHW/I51wod2sQUoxULDD9MWgRWWO\nPP5qNJZje+z4HMth8E+NpbfrRbMNsx4wOFFaxb1smoT7EQaFE+icE98d+r741rEBt45V1l3U\nPFhwYZzF0qVDtmlv0plHdx7cm6s8fKAs7xjfUB26Mixurd86cWGYlRehezYfw9Eytge1NpTe\naxCnM4ig5Vpo4uYF7c6NEtfmbSg6rDlTX3nrTk2Ec772KZ3akHw4qkxZ7+dGcCRW2C+w8ypb\ncXGN+MmJnf924n86i7HCSUNwUrMEeCsN4rAP45ken0I47Oa18aG8W+BdkIHJiV+ePBOH045T\nAr7GjAaPuvP1++vHi+/UaAl78W6TRhUgIArMSaN2xbMJu4uXdwo3D+cJXinZbE3a4y3d2m9P\npxflaL7bnZ2ze+f2zdna5Oycrbl8aWFRWcWaw0Erw8IWJonr526dhR01SL80nYuPXxseo40K\nCdi4mp/vf+zC5epSwyu63Pysshzlk7oZgrO1iJZGRwf5aCZfdX/Wce1S29noKlR67GB9PYGg\nI9qxGdaMHo012sSe48yDi42tDxuXznBY7G2rDZl4kj57JC3xiIgy9rH92h+yZh+kc9ECY/bm\nqoCK6raK6slLwqcvE7sY9LMgf9J9kUXgmCggHSTp0GZBCkQQQL+65DPxBHGXutIDhSc1dzzP\nTJ3msczJ98C6urVadNdCILH4qoeUvgsCB9bYlGpnBrX/q538w9ZYTTS1JzPngID+aL7e8+uc\nm0NEPBEV9DI6Ocm+t0n2ffJPJgWjHhimlfYxqEpYSK/aGhLtwS8kqbq5uRnt+KdtWVF1L1tU\ny592QGKH4mn/jnM0JMItCv91UlhBHBBfp+C9LYM4M+uolE0erNlX+cjQPm+ii/fk5B7gc3K3\nJR8WiYuNIC72kaS5I84h2VF8UGhCcKS4aX1qcrR/TeCAyxVHCk/yRUdSY6+K6GJ18BKvwBB3\nz8DjjY3Vxy+KqD9k0QksBCD4iQFzXSt8+VP0ZTQOhkzAQ2bORvK/JY0MWzZbgzISWSR3ZpF+\nCZ2JVStnT0xT2h1krqWfLqq7Wn3uYNPOX5QShaTplD67pzfcxo5BnxpsPp8abOPBE5aALTk8\nwYtc2SGou4kr6QlBqVEBovPKYMTtEm703yWoXwlwrgClHRfyV6cY3hmEp7DIW+NXGHl6vTal\nqGRrEX+octeuw2I9kxoftw1Vag8Er82axePK+VBHI04a2qwP1Ac208i9OuJ20XeZu8pI6imQ\nnO4Cf98wmP5Ajuim+nRhYqsBrlwi2ktnfWrESt9luQ48XkNCytjQLrCgbpB8Hs7pA9F/1/X/\nfmuMW+n0ucGe3slKB+bDrtvP0sFMCUlIfrYTtnQqJGdJzSHjvzY0/3sDjXrDjW0Hd9Ck5snR\n3bA7/VDmnjIR1fKPziJugSF+fcHXEftiX0cgpxYglzS6dOJ8i/iOUdMLPCk3BvIgCudBNLWQ\nue5JoQ696hz7bM4dW3GB8fmTvl7okt8lsCAnlPGzgPDEHtiB9IUd6CkrVUA1JwXOQaHtu9NL\n+YryvNIiMfdgZubxBiXiKkqiwsOjDJ+So+VHSspJjlkbExO5pjimtLS4uLQ0pnitiEhpkUw+\n8sSg+qsfw3totU2zyx9tt461PdTu2ZSVuitF+anX9lcS3Ob+vXXGX1tp9SVB/XcVNvBshBVM\nKdZQtXQpaChQEKewTbCywuaE9Fu9gfEJImrYzCrAIZWVluiwnigs3pflHGh3vI9qogk8k6N7\n/U8KNOpRtPbvaafRSxbsEY6ACCmgmehviSQxoaFhntGuyloa6QPnMGqy8UDEeYTHrvfjI5Oy\nit1ERO5F3whrCK1UShKN7gcV9GtpndKB+keSTEA+BIjBPAK7UMYDmPiAxBRxCm3WqszYTZqE\ntORNaShUyGBRtnCknqAv1D2iRyLMMfbaHkPL6QQxrP7NEukNjTJuSvRNOcE1Xe/B8Xl8s28j\nCXZDw/mGHFALdLcopNeIJkCb4DG1WLna4HCIh8qbmHguOBv6XnJ0hb9Uu3qRSLLWzkiWBHYP\nPEPY3rDnsb9fR9gyWYDhBJVFRAQEVkTUVJVXoIIMVhpqcDhpG/E4dYHkZnB0sGqFfQVo959X\nGkGerkRHj149IB78YReKxNZcqe8h2vDi54EO4VX1MBZ99KXVnJ2T0wTbO07tT+8iOex43Gzo\nMKGMyw03JYZs678Agasw2AplbmRzdHJlYW0KZW5kb2JqCjggMCBvYmoKICAgODQxMAplbmRv\nYmoKOSAwIG9iago8PCAvTGVuZ3RoIDEwIDAgUgogICAvRmlsdGVyIC9GbGF0ZURlY29kZQo+\nPgpzdHJlYW0KeJxdkTtuwzAMhnedgmM6BH4lSgbDQJEuHvpA3R7AkahEQC0LsjL49qXEIAU6\nWPxE/qRMsjj1L72zEYqPMKsBIxjrdMBlvgWFcMaLdaKqQVsV77d8qmn0oqDkYV0iTr0zs2hb\nKD4puMSwwuZZz2d8EgBQvAeNwboLbL5PA7uGm/c/OKGLUIquA42Gyr2O/m2cEIqcvO01xW1c\nt5T2p/haPUKd7xX/kpo1Ln5UGEZ3QdGWZQetMZ1Ap//FKskpZ6OuYxDtbkfSsiRD3DA3xA1z\nk5k1TdJIzExGtId9ZjLk1+zXxHuTmQz5uY5MdSTrZdYrZpXqsOaQ36r5rTrxkfmYuGKuEktm\nmRu8d5JaTTt5zFDdQqDx5cXluaWJWYeP3frZp6z8/QJByJNCCmVuZHN0cmVhbQplbmRvYmoK\nMTAgMCBvYmoKICAgMjk3CmVuZG9iagoxMSAwIG9iago8PCAvVHlwZSAvRm9udERlc2NyaXB0\nb3IKICAgL0ZvbnROYW1lIC9ZT1lLTUIrTmltYnVzU2Fucy1SZWd1bGFyCiAgIC9Gb250RmFt\naWx5IChOaW1idXMgU2FucykKICAgL0ZsYWdzIDQKICAgL0ZvbnRCQm94IFsgLTIxMCAtMjk5\nIDEwMzIgMTA3NSBdCiAgIC9JdGFsaWNBbmdsZSAwCiAgIC9Bc2NlbnQgNzI5CiAgIC9EZXNj\nZW50IC0yNzEKICAgL0NhcEhlaWdodCAxMDc1CiAgIC9TdGVtViA4MAogICAvU3RlbUggODAK\nICAgL0ZvbnRGaWxlMyA3IDAgUgo+PgplbmRvYmoKNiAwIG9iago8PCAvVHlwZSAvRm9udAog\nICAvU3VidHlwZSAvVHlwZTEKICAgL0Jhc2VGb250IC9ZT1lLTUIrTmltYnVzU2Fucy1SZWd1\nbGFyCiAgIC9GaXJzdENoYXIgMzIKICAgL0xhc3RDaGFyIDExNwogICAvRm9udERlc2NyaXB0\nb3IgMTEgMCBSCiAgIC9FbmNvZGluZyAvV2luQW5zaUVuY29kaW5nCiAgIC9XaWR0aHMgWyAw\nIDAgMCAwIDAgMCAwIDAgMCAwIDAgMCAwIDAgMCAwIDAgNTU2IDU1NiA1NTYgNTU2IDAgNTU2\nIDAgNTU2IDAgMCAwIDAgMCAwIDAgMCAwIDAgNzIyIDcyMiAwIDAgMCAwIDAgMCAwIDAgMCAw\nIDAgMCAwIDAgMCAwIDAgMCAwIDAgMCAwIDAgMCAwIDAgNTU2IDAgMCAwIDUwMCAwIDU1NiAw\nIDAgMCAwIDAgMCAyMjIgODMzIDU1NiAwIDAgMCAwIDUwMCAwIDU1NiBdCiAgICAvVG9Vbmlj\nb2RlIDkgMCBSCj4+CmVuZG9iagoxIDAgb2JqCjw8IC9UeXBlIC9QYWdlcwogICAvS2lkcyBb\nIDIgMCBSIF0KICAgL0NvdW50IDEKPj4KZW5kb2JqCjEyIDAgb2JqCjw8IC9Qcm9kdWNlciAo\nY2Fpcm8gMS4xNS4xMiAoaHR0cDovL2NhaXJvZ3JhcGhpY3Mub3JnKSkKICAgL0NyZWF0aW9u\nRGF0ZSAoRDoyMDE4MDYwMTE2NDAxNyswMicwMCkKPj4KZW5kb2JqCjEzIDAgb2JqCjw8IC9U\neXBlIC9DYXRhbG9nCiAgIC9QYWdlcyAxIDAgUgo+PgplbmRvYmoKeHJlZgowIDE0CjAwMDAw\nMDAwMDAgNjU1MzUgZiAKMDAwMDAyNDUzNiAwMDAwMCBuIAowMDAwMDE0NjkxIDAwMDAwIG4g\nCjAwMDAwMTQ1ODIgMDAwMDAgbiAKMDAwMDAwMDAxNSAwMDAwMCBuIAowMDAwMDE0NTU4IDAw\nMDAwIG4gCjAwMDAwMjQxMTQgMDAwMDAgbiAKMDAwMDAxNDkwOSAwMDAwMCBuIAowMDAwMDIz\nNDE2IDAwMDAwIG4gCjAwMDAwMjM0MzkgMDAwMDAgbiAKMDAwMDAyMzgxNCAwMDAwMCBuIAow\nMDAwMDIzODM3IDAwMDAwIG4gCjAwMDAwMjQ2MDEgMDAwMDAgbiAKMDAwMDAyNDcxOCAwMDAw\nMCBuIAp0cmFpbGVyCjw8IC9TaXplIDE0CiAgIC9Sb290IDEzIDAgUgogICAvSW5mbyAxMiAw\nIFIKPj4Kc3RhcnR4cmVmCjI0NzcxCiUlRU9GCg==", 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LDjIcKsflNJw6snr7mttJAHAIgymmIB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\nLz8/Pz09nW9xi8VSUFCQnJycnJysdFmUl5uby2emuFiDm5aWlpi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CdWgWHEpgUwXOEd9eVUz/yILjGbWF+cEQ40nPDWGSRxx2w/DDOcHxUQTF+A2pz+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7luk1OKXYr35pAkpet2FmXMEZCRqmk44zdH+w9H0+Zy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imV2//IF4JgBwAAEFkuGb32m9P3/lq1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\nLb2dIjfKaE9gKETu+QH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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(dm, 3:4, col_by = 'num_cells', draw_legend = FALSE)\n", "plot(dm, 19:20, col_by = 'num_cells', draw_legend = FALSE)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "hidden": true }, "outputs": [], "source": [ "options(oh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Other parameters\n", "-------------\n", "\n", "If the automatic exclusion of categorical and integral features for data frames is not enough, you can also supply a vector of variable names or indices to use with the `vars` parameter. If you find that calculation time or used memory is too large, the parameter `k` allows you to decrease the quality/runtime+memory ratio by limiting the number of transitions calculated and stored. It is typically not needed if you have less than few thousand cells. The `n.eigs` parameter specifies the number of diffusion components returned.\n", "\n", "For more information, consult `help(DiffusionMap)`.\n", "\n", "Missing and uncertain values\n", "=============\n", "\n", "**destiny** is particularly well suited for gene expression data due to its ability to cope with missing and uncertain data.\n", "\n", "Censored values\n", "------------\n", "\n", "Platforms such as RT-qPCR cannot detect expression values below a certain threshold. To cope with this, **destiny** allows to censor specific values. In the case of Guo et al. (2010), only up to 28 qPCR cycles were counted. All transcripts that would need more than 28 cycles are grouped together under this value. This is illustrated by gene Aqp3:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "scrolled": false }, "outputs": [ { "data": { "application/pdf": 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78lZ/PWnMwNqZvFKSfj9057p8xLWbMulU9flR6XLC50XDxvjp8yMWnNmjRdSk7a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\nT0YK", 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DR4XlBmPNi076L6PW/Xqm3tzBxIOjhz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\nTYiLi70T5r9u1ol1c6d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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "hist(exprs(cleaned_ct)['Aqp3', ], breaks = 20,\n", " xlab = 'Ct of Aqp3', main = 'Histogram of Aqp3 Ct',\n", " col = palette()[[4]], border = 'white')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For our censoring noise model we need to identify the limit of detection (LoD). While most researchers use a global LoD of 28, reflecting the overall sensitivity of the qPCR machine, different strategies to quantitatively establish this gene-dependent LoD exist. For example, dilution series of bulk data can be used to establish an LoD such that a qPCR reaction will be detected with a specified probability if the Ct value is below the LoD. Here, we use such dilution series provided by Guo et al. and first determine a gene-wise LoD as the largest Ct value smaller than 28. We then follow the manual [Application Guidance: Single-Cell Data Analysis](https://www.bioke.com/Product%20Support/Manuals%20%26%20Downloads/?webshop_supplier=15&webshop_downloadtype=10&webshop_application=199&q=) of the popular Biomarks system and determine a global LoD as the median over the gene-wise LoDs. We use the dilution series from table S7 (`mmc6.xls`). If you have problems with the speed of `read.xlsx`, consider storing your data in tab separated value format and using `read.delim` or `read.ExpressionSet`." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "25" ], "text/latex": [ "25" ], "text/markdown": [ "25" ], "text/plain": [ "[1] 25" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dilutions <- read_xls('mmc6.xls', 1L)\n", "dilutions$Cell <- NULL # remove annotation column\n", "\n", "get_lod <- function(gene) gene[[max(which(gene != 28))]]\n", "\n", "lods <- apply(dilutions, 2, get_lod)\n", "lod <- ceiling(median(lods))\n", "lod" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This LoD of 25 and the maximum number of cycles the platform can perform (40), defines the uncertainty range that denotes the possible range of censored values in the censoring model. Using the mean of the normalization vector, we can adjust the uncertainty range and censoring value to be more similar to the other values in order to improve distance measures between data points:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\t
$lod_norm
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10
\n", "\t
$max_cycles_norm
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25
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\n" ], "text/latex": [ "\\begin{description}\n", "\\item[\\$lod\\_norm] 10\n", "\\item[\\$max\\_cycles\\_norm] 25\n", "\\end{description}\n" ], "text/markdown": [ "$lod_norm\n", ": 10\n", "$max_cycles_norm\n", ": 25\n", "\n", "\n" ], "text/plain": [ "$lod_norm\n", "[1] 10\n", "\n", "$max_cycles_norm\n", "[1] 25\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lod_norm <- ceiling(median(lods) - mean(normalizations))\n", "max_cycles_norm <- ceiling(40 - mean(normalizations))\n", "\n", "list(lod_norm = lod_norm, max_cycles_norm = max_cycles_norm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then also need to set the normalized values that should be censored – namely all data points were no expression was detected after the LoD – to this special value, because the values at the cycle threshold were changed due to normalization." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "guo <- guo_norm\n", "exprs(guo)[exprs(cleaned_ct) >= 28] <- lod_norm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This version of the dataset is avaliable as `data(guo)` from the **destiny** package.\n", "\n", "Now we call the the `DiffusionMap` function using the censoring model:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "application/pdf": 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mBp3OzPcPEMPyesK8Dek3qCIf/DCo1hTYB8VqsZGcRlro+yMJwhw8MrQDphS0x8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hPN6/U6nTKM3qy945+6V1bdMjeeJHTK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\nwU9jsenVpZuOP29k+wN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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "thresh_dm <- DiffusionMap(guo,\n", " censor_val = lod_norm,\n", " censor_range = c(lod_norm, max_cycles_norm),\n", " verbose = FALSE)\n", "\n", "plot(thresh_dm, 1:2, col_by = 'num_cells',\n", " legend_main = 'Cell stage')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compared to the diffusion map created without censoring model, this map looks more homogeneous since it contains more data points.\n", "\n", "Missing values\n", "-----------\n", "\n", "Gene expression experiments may fail to produce some data points, conventionally denoted as “not available” (`NA`). By calling `DiffusionMap(..., missings = c(total.minimum, total.maximum))`, you can specify the parameters for the missing value model.\n", "\n", "As in the data from Guo et al. (2010) no missing values occurred, we illustrate the capacity of **destiny** to handle missing values by artificially treating ct values of 999 (i. e. data points were no expression was detected after 40 cycles) as missing. This is purely for illustrative purposes and in practice these values should be treated as censored as illustrated in the previous section." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# remove rows with divisionless cells\n", "ct_w_missing <- ct[, ct$num_cells > 1L]\n", "# and replace values larger than the baseline\n", "exprs(ct_w_missing)[exprs(ct_w_missing) > 28] <- NA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then perform normalization on this version of the data:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "housekeep <- colMeans(\n", " exprs(ct_w_missing)[housekeepers, ],\n", " na.rm = TRUE)\n", "\n", "w_missing <- ct_w_missing\n", "exprs(w_missing) <- exprs(w_missing) - housekeep\n", "\n", "exprs(w_missing)[is.na(exprs(ct_w_missing))] <- lod_norm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we create a diffusion map with both missing value model and the censoring model from before:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "application/pdf": 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6CzADnciCRYBKyv3bAPyObDiI1FS8oSD9Dac/yTVOQ5Ul1H1eEPRGEpIZzSExEb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\n4us5v+ETBYkVb3tqrBj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tVWm44Yvt4aFYv//fa/Xn/llfeWRfuNOHD6/1w6fmC+igUA6MSuFx4fJJ1pF9/s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\nYpM1Owt2KXFtytiT4jdmzJkev5GYKhu/Id5RugzFAlCqTr79nC0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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "dif_w_missing <- DiffusionMap(w_missing,\n", " censor_val = lod_norm,\n", " censor_range = c(lod_norm, max_cycles_norm),\n", " missing_range = c(1, 40),\n", " verbose = FALSE)\n", "\n", "plot(dif_w_missing, 1:2, col_by = 'num_cells',\n", " legend_main = 'Cell stage')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This result looks very similar to our previous diffusion map since only six additional data points have been added. However if your platform creates more missing values, including missing values will be more useful.\n", "\n", "Prediction\n", "=====\n", "\n", "In order to project cells into an existing diffusion map, for example to compare two experiments measured by the same platform or to add new data to an existing map, we implemented `dm.predict`. It calculates the transition probabilities between datapoints in old and new data and projects cells into the diffusion map using the existing diffusion components.\n", "\n", "As an example we assume that we created a diffusion map from one experiment on 64 cell stage embryos:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "ct64 <- guo[, guo$num_cells == 64]\n", "dm64 <- DiffusionMap(ct64)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us compare the expressions from the 32 cell state embryos to the existing map. We use `dm.predict` to create the diffusion components for the new cells using the existing diffusion components from the old data: " ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "ct32 <- guo[, guo$num_cells == 32]\n", "pred32 <- dm_predict(dm64, ct32)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By providing the `more` and `col.more` parameters of the `plot` function, we show the first two DCs for both old and new data: " ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "application/pdf": 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FpXn2DIq7PDw2P4ppmsd8ba9c7jaJ6YGsOZhV9PvaowMWNXwcvlEYYbRk28XBLF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\nRU9GCg==", 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Xg7inkvut7iBN/QfD6fzWar/RNV+Cyl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\nxowdAEAkhB0AVWbyxCmTJ05JehRQiYQdAFVp9uP3Jz0EqDj2sQO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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(dm64, 1:2, col = palette()[[6]],\n", " new_dcs = pred32, col_new = palette()[[4]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly, the 32 and 64 cell state embryos occupy similar regions in the map, while the cells from the 64 cell state are developed further.\n", "\n", "Troubleshooting\n", "=======\n", "\n", "There are several properties of data that can yield subpar results. This section explains a few strategies of dealing with them:\n", "\n", "**Preprocessing**: if there is a strong dependency of the variance on the mean in your data (as for scRNA-Seq count data), use a variance stabilizing transformation such as the square root or a (regularized) logarithm before running **destiny**.\n", "\n", "**Outliers**: If a Diffusion Component strongly separates some outliers from the remaining cells such that there is a much greater distance between them than within the rest of the cells (i. e. almost two discrete values), consider removing those outliers and recalculating the map, or simply select different Diffusion Components. It may also a be a good idea to check whether the outliers are also present in a PCA plot to make sure they are not biologically relevant.\n", "\n", "**Large datasets**: If memory is not sufficient and no machine with more RAM is available, the `k` parameter could be decreased. In addition (particularly for >500,000 cells), you can also downsample the data (possibly in a density dependent fashion).\n", "\n", "**“Large-p-small-n” data**: E.g. for scRNA-Seq, it is may be necessary to first perform a Principal Component Analysis (PCA) on the data (e.g. using `prcomp` or `princomp`) and to calculate the Diffusion Components from the Principal Components (typically using the top 50 components yields good results)." ] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.5.0" } }, "nbformat": 4, "nbformat_minor": 2 }