探索真实的配对 RNA-seq 实验
检查 63,677 个基因与 8 个 airway 样本,归一化测序深度,区分供体与处理效应并查看配对变化。
目标与运行方法
本课适合具备 Python 基础的本科生。先阅读每一步的方法与图注,再修改参数。AI 练习为可选部分,不需要 AI 账号即可完成核心课程。数据写在 notebook metadata 中,不需要另下载数据文件。请保持 notebook 已保存到当前工作文件夹。
学习任务是理解本课的研究问题、执行透明的计算、校验结果,并说明结论的边界。
环境与参数
from pathlib import Path
import base64, gzip, hashlib, json, platform
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from IPython.display import display, HTML
RECIPE_ID='03-airway-expression'
OUTPUT_DIR=Path.cwd()/"results"/RECIPE_ID
plt.rcParams.update({"figure.dpi":120,"font.size":10,"axes.spines.top":False,"axes.spines.right":False,
"axes.prop_cycle":plt.cycler(color=["#18785f","#416aa6","#bc6541","#9974a5"])})
print("Python:",platform.python_version(),"; NumPy:",np.__version__,"; Pandas:",pd.__version__)
print("Working folder:",Path.cwd())
print("Core data mode: embedded snapshot; no network requests")
Python: 3.13.13 ; NumPy: 2.5.3 ; Pandas: 3.0.6 Working folder: /Users/zhiluo/Developer/vibeit-cookbook/cookbook/downloads Core data mode: embedded snapshot; no network requests
读取内嵌快照
def load_snapshot(recipe_id, expected_sha256, snapshot_key):
"""Read embedded data from this notebook, including a renamed copy."""
for path in sorted(Path.cwd().glob("*.ipynb")):
try:
notebook = json.loads(path.read_text(encoding="utf-8"))
metadata = notebook.get("metadata", {}).get("vibeit_cookbook", {})
blob = metadata.get("snapshots", {}).get(snapshot_key)
if metadata.get("recipe_id") != recipe_id or not blob:
continue
if blob.get("sha256") != expected_sha256:
continue
raw = gzip.decompress(base64.b64decode(blob["gzip_base64"], validate=True))
if hashlib.sha256(raw).hexdigest() != expected_sha256:
raise ValueError("Embedded snapshot checksum mismatch: " + snapshot_key)
return json.loads(raw)
except (OSError, json.JSONDecodeError):
continue
raise FileNotFoundError(
"Save/open the complete .ipynb in the active working folder. "
"The embedded snapshot could not be located for " + recipe_id)
SNAPSHOT_HASHES={'airway': '5440d5e8dc3a3da15735ad2592cf908bcfc7f4bdadc89b1404aa48d728bdeaab'}
def snapshot(key):
return load_snapshot(RECIPE_ID,SNAPSHOT_HASHES[key],key)
print("Embedded snapshots:",list(SNAPSHOT_HASHES))
Embedded snapshots: ['airway']
方法函数
def validate_counts(counts, metadata):
if not counts.index.is_unique or not counts.columns.is_unique:
raise ValueError("Gene and sample identifiers must be unique")
if not metadata.index.is_unique or list(counts.columns) != list(metadata.index):
raise ValueError("Sample columns must match metadata order exactly")
values = counts.to_numpy()
if not np.isfinite(values).all() or (values < 0).any() or not np.equal(values,np.floor(values)).all():
raise ValueError("Counts must be finite nonnegative integers")
if (values.sum(axis=0) == 0).any():
raise ValueError("A sample has no reads")
if set(metadata.condition) != {"control","treated"}:
raise ValueError("Expected control and treated conditions")
for donor, rows in metadata.groupby("donor", sort=True):
if len(rows) != 2 or set(rows.condition) != {"control","treated"}:
raise ValueError("Each donor needs one control and one treated sample: " + str(donor))
print("Method ready: validate_counts")
Method ready: validate_counts
def normalize_counts(counts, min_count=10, min_samples=4):
values = counts.to_numpy(dtype=float)
keep = (values >= min_count).sum(axis=1) >= min_samples
filtered = counts.loc[keep].astype(float)
positive = (filtered.to_numpy() > 0).all(axis=1)
if positive.sum() == 0:
raise ValueError("Median-ratio method needs genes positive in every sample")
reference_values = filtered.to_numpy()[positive]
geometric_means = np.exp(np.log(reference_values).mean(axis=1))
factors = np.median(reference_values / geometric_means[:,None], axis=0)
if not np.isfinite(factors).all() or (factors <= 0).any():
raise ValueError("Invalid size factors")
factors /= np.exp(np.log(factors).mean())
normalized = filtered / factors
return filtered, pd.Series(factors,index=counts.columns,name="size_factor"), normalized
print("Method ready: normalize_counts")
Method ready: normalize_counts
def paired_response(log_counts, metadata, min_effect=1.0, min_consistent=3):
differences = {}
for donor, rows in metadata.groupby("donor",sort=True):
control = rows.index[rows.condition == "control"][0]
treated = rows.index[rows.condition == "treated"][0]
differences[donor] = log_counts[treated] - log_counts[control]
differences = pd.DataFrame(differences)
response = pd.DataFrame(dict(mean_log2_change=differences.mean(axis=1),
positive_pairs=(differences>0).sum(axis=1),
negative_pairs=(differences<0).sum(axis=1)))
response["direction"] = "other"
response.loc[(response.mean_log2_change>=min_effect)&(response.positive_pairs>=min_consistent),"direction"]="up"
response.loc[(response.mean_log2_change<=-min_effect)&(response.negative_pairs>=min_consistent),"direction"]="down"
return differences, response
print("Method ready: paired_response")
Method ready: paired_response
分步分析
1. 核对实验设计
实验包含 4 个原代人气道平滑肌细胞供体,每个供体分别测量对照与地塞米松处理条件。生物学单位是供体,8 列并不代表 8 个独立供体。快照保留官方 airway counts 对象的全部 63,677 行。必须用样本标识符匹配注释,不能分别排序或只根据列的位置推断处理组。
airway = snapshot("airway")
counts = pd.DataFrame(airway["counts"], index=airway["genes"], columns=airway["samples"])
metadata = pd.DataFrame(airway["metadata"]).set_index("sample").loc[counts.columns]
validate_counts(counts, metadata)
print("Complete count matrix:", counts.shape)
def display_scroll_table(frame):
# Keep identifiers and numeric values intact on narrow device screens.
table = frame.to_html(border=0, classes="vibeit-scroll-table")
style = """<style>
table.vibeit-scroll-table {table-layout:auto !important;width:max-content !important;max-width:none !important;}
table.vibeit-scroll-table th, table.vibeit-scroll-table td {
white-space:nowrap !important;word-break:normal !important;padding:6px 8px;}
</style>"""
display(HTML(style+'<div style="max-width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch">'+table+'</div>'))
display_scroll_table(metadata)
display_scroll_table(counts.iloc[:6])
Complete count matrix: (63677, 8)
| condition | donor | geo | |
|---|---|---|---|
| SRR1039508 | control | N61311 | GSM1275862 |
| SRR1039509 | treated | N61311 | GSM1275863 |
| SRR1039512 | control | N052611 | GSM1275866 |
| SRR1039513 | treated | N052611 | GSM1275867 |
| SRR1039516 | control | N080611 | GSM1275870 |
| SRR1039517 | treated | N080611 | GSM1275871 |
| SRR1039520 | control | N061011 | GSM1275874 |
| SRR1039521 | treated | N061011 | GSM1275875 |
| SRR1039508 | SRR1039509 | SRR1039512 | SRR1039513 | SRR1039516 | SRR1039517 | SRR1039520 | SRR1039521 | |
|---|---|---|---|---|---|---|---|---|
| ENSG00000000003 | 679 | 448 | 873 | 408 | 1138 | 1047 | 770 | 572 |
| ENSG00000000005 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| ENSG00000000419 | 467 | 515 | 621 | 365 | 587 | 799 | 417 | 508 |
| ENSG00000000457 | 260 | 211 | 263 | 164 | 245 | 331 | 233 | 229 |
| ENSG00000000460 | 60 | 55 | 40 | 35 | 78 | 63 | 76 | 60 |
| ENSG00000000938 | 0 | 0 | 2 | 0 | 1 | 0 | 0 | 0 |
2. 归一化前检查文库大小
基因 counts 的列总和表示被计入该矩阵的 reads 数,不是总测序产出,也不是完整的测序质控报告。较大的深度差异会影响原始 counts 的比较。每个文库必须有 reads;零总数的文库应报错,而不是继续进行除零计算。
library_sizes=counts.sum(axis=0)
fig,ax=plt.subplots(figsize=(8,3))
ax.bar(range(len(counts.columns)),library_sizes/1e6,color=["#416aa6" if c=="control" else "#18785f" for c in metadata.condition])
ax.set(xticks=range(8),xticklabels=counts.columns, ylabel="Assigned gene counts (millions)",title="Sequencing depth differs between samples")
ax.tick_params(axis="x",rotation=45);plt.tight_layout();plt.show()
assert library_sizes.astype(int).tolist()==airway["library_totals"]
print("Original library totals verified")
Original library totals verified
3. 过滤并估计 median-ratio size factors
保留至少 4 个样本 counts ≥10 的基因。对所有样本均为正的基因,先计算跨样本几何均值,再求 counts 与该参考值的比值,最后取每个样本的中位数。将 factors 调整至几何均值为 1。该方法假定多数基因不会产生大幅同方向变化;它不是 TPM,也不校正基因长度。
MIN_COUNT, MIN_SAMPLES = 10, 4
filtered, size_factors, normalized = normalize_counts(counts, MIN_COUNT, MIN_SAMPLES)
log_counts = np.log2(normalized + 1)
print("Retained genes:", len(filtered), "of", len(counts))
print("Genes positive in every sample:", int((filtered > 0).all(axis=1).sum()))
display(size_factors.to_frame())
Retained genes: 16139 of 63677 Genes positive in every sample: 16072
| size_factor | |
|---|---|
| SRR1039508 | 1.019000 |
| SRR1039509 | 0.893462 |
| SRR1039512 | 1.170560 |
| SRR1039513 | 0.666422 |
| SRR1039516 | 1.171945 |
| SRR1039517 | 1.395186 |
| SRR1039520 | 0.913847 |
| SRR1039521 | 0.942312 |
4. 透明地进行 log 变换并比较样本
本课使用 log2(normalized counts + 1) 进行探索,不是 DESeq2 的 VST 或 rlog。所有样本对都使用同一组保留基因计算相关性。样本相近可能来自相同供体,也可能与处理有关。不能只凭这幅图认定异常样本,需要结合样本注释及上游质量证据。
correlation=log_counts.corr()
fig,ax=plt.subplots(figsize=(6,5))
im=ax.imshow(correlation,vmin=.9,vmax=1,cmap="YlGnBu")
labels=[f"{r.donor} / {r.condition}" for r in metadata.itertuples()]
ax.set(xticks=range(8),yticks=range(8),xticklabels=labels,yticklabels=labels,title="Sample correlation after depth adjustment")
plt.setp(ax.get_xticklabels(),rotation=60,ha="right")
fig.colorbar(im,ax=ax,label="Pearson r");plt.tight_layout();plt.show()
5. 在 PCA 中区分供体与处理
选择最多 2,000 个高变基因,转置为样本 × 基因矩阵,对每个基因中心化后进行 SVD;不进行基因方差标准化。颜色表示处理条件,连线表示同一供体的样本对。不同数值库可能翻转主成分的符号,但不会改变样本间几何关系。PCA 不能证明每个可见坐标轴都由处理造成。
variable_genes=log_counts.var(axis=1).nlargest(min(2000,len(log_counts))).index
matrix=log_counts.loc[variable_genes].T.to_numpy()
matrix=matrix-matrix.mean(axis=0)
u,s,vt=np.linalg.svd(matrix,full_matrices=False)
coordinates=u[:,:2]*s[:2];explained=s**2/np.sum(s**2)
fig,ax=plt.subplots(figsize=(7,5))
for donor,rows in metadata.groupby("donor"):
indices=[metadata.index.get_loc(sample) for sample in rows.index]
ax.plot(coordinates[indices,0],coordinates[indices,1],color="#bac6bf",lw=1)
for i,row in enumerate(metadata.itertuples()):
ax.scatter(*coordinates[i],s=85,color="#416aa6" if row.condition=="control" else "#18785f")
ax.annotate(row.donor+(" C" if row.condition=="control" else " T"),coordinates[i],xytext=(5,4),textcoords="offset points",fontsize=9)
ax.set(xlabel=f"PC1 ({explained[0]:.1%})",ylabel=f"PC2 ({explained[1]:.1%})",title="Donor pairs: blue control → green treated")
plt.tight_layout();plt.show()
print("PCA uses",len(variable_genes),"genes; explained variance:",explained[:2])
PCA uses 2000 genes; explained variance: [0.3400221 0.276398 ]
6. 查看配对效应,不赋予 DEG p 值
将每个供体的处理组 log-counts 减去其对照组,再计算 4 个差值的平均值。这是描述性的处理相关变化。由于取 log 前加了 1,它不是负二项模型拟合出的 log fold change。本课按效应大小与方向一致性筛选响应候选;正式差异表达分析需要适当的 count 模型,并在设计中考虑供体。
paired_changes,response=paired_response(log_counts,metadata,min_effect=1,min_consistent=3)
display(response.direction.value_counts().rename("genes").to_frame())
top=response.mean_log2_change.abs().nlargest(16).index
heat=log_counts.loc[top];heat=heat.sub(heat.mean(axis=1),axis=0)
fig,ax=plt.subplots(figsize=(8,6))
im=ax.imshow(heat,aspect="auto",cmap="RdBu_r",vmin=-3,vmax=3)
ax.set(xticks=range(8),xticklabels=labels,yticks=range(len(top)),yticklabels=top,
title="Largest observed paired changes: row-centered log counts")
plt.setp(ax.get_xticklabels(),rotation=60,ha="right");fig.colorbar(im,ax=ax,label="Centered log2 normalized counts")
plt.tight_layout();plt.show()
| genes | |
|---|---|
| direction | |
| other | 15083 |
| down | 529 |
| up | 527 |
7. 在所有供体中追踪一个实测基因
原始 airway 研究关注 CRISPLD2(ENSG00000103196)。绘图前检查该基因是否实际测量且通过过滤。连线端点表示归一化 counts,不是蛋白质丰度。保留全部 4 个供体,避免平均值掩盖个体差异。
GENE="ENSG00000103196"
assert GENE in normalized.index
fig,ax=plt.subplots(figsize=(5,4))
for donor,rows in metadata.groupby("donor"):
ordered=rows.set_index("condition").loc[["control","treated"],:]
values=[normalized.loc[GENE,rows.index[rows.condition==condition][0]] for condition in ["control","treated"]]
ax.plot([0,1],values,marker="o",label=donor)
ax.set(xticks=[0,1],xticklabels=["Control","Treated"],ylabel="Normalized counts",title="CRISPLD2: paired donor measurements")
ax.legend(title="Donor",fontsize=8);plt.tight_layout();plt.show()
8. 校验并导出分析轨迹
完整结果写入文件,notebook 中只显示小表格。归一化前 counts 为整数,factors 为正,PCA 的解释比例总和为 1。响应表保留每个通过过滤的基因,包括未被选为候选的基因,并明确注明筛选规则。
assert np.isclose(np.exp(np.log(size_factors).mean()),1)
assert np.isclose(explained.sum(),1)
assert np.isfinite(log_counts.to_numpy()).all()
OUTPUT_DIR.mkdir(parents=True,exist_ok=True)
metadata.to_csv(OUTPUT_DIR/"samples.csv")
size_factors.to_csv(OUTPUT_DIR/"size-factors.csv")
response.to_csv(OUTPUT_DIR/"response-candidates.csv")
paired_changes.to_csv(OUTPUT_DIR/"paired-log2-changes.csv")
pd.DataFrame(coordinates,index=metadata.index,columns=["PC1","PC2"]).to_csv(OUTPUT_DIR/"pca.csv")
print("Checks passed. No differential-expression p-values were estimated.")
Checks passed. No differential-expression p-values were estimated.
自主练习与参考答案
- 为什么每个供体必须恰好有一个对照和一个处理样本?
- 将 PCA 颜色改为供体,保持输入矩阵和坐标不变。
参考解释。 配对差值去除了该供体的表达基线。修改配色不应改变 PCA 坐标。只考虑处理条件的分析可能混入供体差异。
先保留当前 notebook 副本,再修改参数。把新图与原图一起比较,并记录改变了哪些输入、哪些计算和哪些结论。
可选的 AI 编程练习
提示词 1
只使用 NumPy、Pandas 和 Matplotlib,为 PCA 分别用形状编码供体、颜色编码条件,保持输入矩阵与解释方差不变。
提示词 2
添加最低 counts 为 5、10、20 的过滤敏感性表,保留至少 4 个样本的要求;每次重算 size factors 并报告候选数,不赋予 DEG p 值。
人工验收。 验证样本顺序、4 个完整配对、正数 factors、原始文库总和与有限的变换值;打乱注释顺序必须报错。
检查修改后的源代码,再手动运行受影响单元及后续校验。要求助手解释修改的目的、使用的包和数据来源,并用实际输出核对解释。
可选联网扩展
RUN_ONLINE_UPDATE=False
if RUN_ONLINE_UPDATE:
import requests
try:
response=requests.get('https://raw.githubusercontent.com/bioconductor-source/airway/596678815f4ade04a9711997150949b9782aeddc/DESCRIPTION',timeout=20)
response.raise_for_status()
print("Source:",response.url)
print(response.text[:700])
except requests.RequestException as error:
print("Online extension unavailable:",type(error).__name__,str(error)[:160])
else:
print("Online extension skipped; embedded core data unchanged")
Online extension skipped; embedded core data unchanged
来源、快照与下一步
- airway read counts — LGPL (airway package); original experiment: Himes et al. 2014; retrieved 2026-10-09. SHA-256
98d05e82867ae4bed92295eb8863ab6c1aa694876f2b29b455c30a559f801cd0. rdata 1.1.0: assays.data.listData['counts'], rowRanges.partitioning.NAMES, colData; no scaling or gene subsetting
下一步。 在保留本课的数据检查、参数记录和结果校验之后,将相同方法用于自己的公开或已获授权数据。记录研究设计与方法限制,不把示例结果当成新实验的验证。完整数据许可与生成说明见 cookbook 网页。