{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "097a0b24",
   "metadata": {},
   "source": [
    "---\n",
    "title: 单细胞基因表达动态解析：拟时序基因表达量曲线拟合\n",
    "author: SeekGene\n",
    "date: 2026-01-29\n",
    "tags:\n",
    "  - 3' 转录组\n",
    "  - 5' + 免疫组库\n",
    "  - ATAC + RNA 双组学\n",
    "  - FFPE 单细胞转录组\n",
    "  - Notebooks\n",
    "  - 全序列转录组\n",
    "  - 拟时序分析\n",
    "  - 甲基化 + RNA 双组学\n",
    "  - 空间转录组\n",
    "---\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d673428-4b0e-4af5-96db-5fb3451f4d6e",
   "metadata": {
    "tags": []
   },
   "source": [
    "# 单细胞基因表达动态解析：拟时序基因表达量曲线拟合"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3486537",
   "metadata": {},
   "source": [
    "## 环境配置"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "8ea9ebf6-de51-46ca-8f2c-79b0716db59f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# 加载脚本运行依赖的R包\n",
    "library(monocle)\n",
    "library(Seurat)\n",
    "library(dplyr)\n",
    "library(tidyverse)\n",
    "library(ggplot2)\n",
    "library(ggsci)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93d4d156",
   "metadata": {},
   "source": [
    "## 数据读取"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "603b5f83-0828-4f0d-aca6-91ddc1c26120",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#读取数据\n",
    "gbm_cds <- readRDS(\"data/AY1740561864613/advanced_analysis/58047/output/monocle2/monocle_final.rds\") ### monocle2分析结果\n",
    "rep <- as.data.frame(pData(gbm_cds)) # 读取表型信息\n",
    "gene_all <- row.names(gbm_cds@assayData$exprs)  #获取gbm_cds中全部基因"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "32c2b72e",
   "metadata": {},
   "source": [
    "## 数据预处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "18042b5d-77be-4e07-874d-9d67746f5312",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "gene_ad <- c(\"RBP7\",\"ECE1\",\"C1QA\",\"C1QC\",\"C1QB\",\"IFI6\",\"CSF3R\")  #定义图中要展示的基因，最多展示10个基因"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "ab068043-88d7-47d6-bb33-5aab97d7ac93",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# gene_ad 与 genes_all 取交集\n",
    "gene_se <- vector()\n",
    "for(i in gene_ad){\n",
    "    if(i %in% gene_all){\n",
    "        gene_se <- c(gene_se,i)\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "a0877528-4218-4286-966f-b68b064d779c",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# 提取基因表达量\n",
    "for(i in gene_se){\n",
    "    gene_in <- names(pData(gbm_cds))\n",
    "    if (i %in% gene_in){\n",
    "        next\n",
    "    }else{\n",
    "        tmp <- gbm_cds@assayData$exprs[i,] %>% as.data.frame\n",
    "        names(tmp) <- i\n",
    "        tmp <- tmp %>% mutate(barcode=rownames(tmp))\n",
    "        pData(gbm_cds) <- pData(gbm_cds) %>% inner_join(tmp,by=\"barcode\")\n",
    "        rownames(pData(gbm_cds)) <- pData(gbm_cds)$barcode\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "73f4b996-7469-48cc-a054-0675c6b50391",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# 合并表达量信息和拟时序信息\n",
    "data_plot <- pData(gbm_cds) %>% select(Pseudotime,all_of(gene_se)) %>% \n",
    "pivot_longer(cols = -Pseudotime,names_to = \"Gene\",values_to = \"Expression\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8fb5d5f5",
   "metadata": {},
   "source": [
    "## 拟时序曲线绘制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "0af6c91d-fe38-4f14-b83d-8ff1095b6050",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
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ACYu4b6N64kXZMGSqUiJMjTiBXhlkaA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H8WCLpwX13AMSdHk56rSeZs+LVtuinhG3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\nAXSjFvK/vxJMnjyZz+eLxcyaNYvGzJw5U6y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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 360,
       "width": 480
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 设置图形输出尺寸（适用于Jupyter等交互环境）\n",
    "# repr.plot.height: 图形高度6英寸\n",
    "# repr.plot.width: 图形宽度8英寸\n",
    "options(repr.plot.height=6, repr.plot.width=8)\n",
    "\n",
    "# 创建ggplot对象\n",
    "ggplot(data = data_plot, mapping = aes(x = Pseudotime, \n",
    "                                      y = Expression, \n",
    "                                      color = Gene,   # 按基因分组颜色\n",
    "                                      fill = Gene)) +  # 按基因分组填充色\n",
    "        # 使用Nature出版集团配色方案（npg）\n",
    "        ggsci::scale_color_npg(name = \"\") +  # 离散型颜色标尺\n",
    "        ggsci::scale_fill_npg(name = \"\") +   # 离散型填充色标尺\n",
    "        \n",
    "        # 添加GAM平滑曲线（置信区间带）\n",
    "        # method: 使用广义加性模型\n",
    "        # formula: 三次平滑样条基函数（cubic spline basis）\n",
    "        # alpha: 置信区间透明度（0-1）\n",
    "        # size: 曲线线宽\n",
    "        geom_smooth(method = \"gam\", \n",
    "                   formula = y ~ s(x, bs = \"cs\"), \n",
    "                   alpha = 0.2, \n",
    "                   size = 1) +\n",
    "        \n",
    "        # 应用cowplot主题（简洁科研风格）\n",
    "        cowplot::theme_cowplot() +\n",
    "        \n",
    "        # 自定义主题细节\n",
    "        theme(\n",
    "            axis.text.x = element_text(size = 20),  # X轴刻度标签字号\n",
    "            axis.text.y = element_text(size = 20),  # Y轴刻度标签字号\n",
    "            text = element_text(size = 20, family = \"ArialMT\"),  # 全局字体设置\n",
    "            plot.margin = unit(c(1, 1, 1, 1), \"char\"),  # 图形边距（字符单位）\n",
    "            plot.title = element_text(\n",
    "                hjust = 0.5,         # 标题居中\n",
    "                size = 20,           # 标题字号\n",
    "                family = \"ArialMT\",  # 字体类型\n",
    "                face = \"plain\"       # 无加粗\n",
    "            ),\n",
    "            axis.line = element_line(\n",
    "                linetype = 1,        # 实线类型\n",
    "                color = \"black\",     # 轴线颜色\n",
    "                linewidth = 0.6      # 轴线宽度\n",
    "            ),\n",
    "            axis.ticks = element_line(\n",
    "                linetype = 1,        # 刻度线类型\n",
    "                color = \"black\",     # 刻度线颜色\n",
    "                linewidth = 0.6      # 刻度线宽度\n",
    "            )\n",
    "            # legend.position = \"none\"  # 取消图例显示（当前注释状态）\n",
    "        ) +\n",
    "        \n",
    "        # 坐标轴标签设置\n",
    "        ylab(\"Expression\") +    # Y轴标签（基因表达量） \n",
    "        xlab(\"Pseudotime\") +     # X轴标签（拟时序分析结果）\n",
    "        ggtitle(\"geneset\")      # 主标题\n",
    "        \n",
    "        # 保存输出（出版级分辨率）\n",
    "        # filename: 输出文件名\n",
    "        # width: PDF宽度9英寸（约22.86cm）\n",
    "        # height: PDF高度8英寸（约20.32cm）\n",
    "        ggsave(\"expression.pdf\", width = 9, height = 8)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "monocle2(R)",
   "language": "R",
   "name": "monocle2"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "4.3.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
