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"""Fill research plan gaps: expression-invisible states, RNA velocity comparison,
and network inference on real data.
Gap 1 (Aim 2): Formally demonstrate expression-invisible PT states
Gap 2 (Aim 3): Compare PT velocity with scvelo RNA velocity
Gap 3 (Aim 4): Run RBP network inference on real data
"""
from __future__ import annotations
import json
import sys
from pathlib import Path
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
import scanpy as sc
from scipy import stats
sys.path.insert(0, str(Path(__file__).parent))
from _common import set_figure_style
import scptr
OUTPUT_DIR = Path(__file__).parent.parent / "output" / "gap_analysis"
def save_fig(fig, name, subdir="figures"):
if fig is None:
print(f" [WARNING] {name}: None, skipping")
return
out_dir = OUTPUT_DIR / subdir
out_dir.mkdir(parents=True, exist_ok=True)
path = out_dir / f"{name}.png"
fig.savefig(path, dpi=150, bbox_inches="tight")
plt.close(fig)
print(f" Saved: {path}")
def process_dataset(name):
"""Load and run full preprocessing + core analysis on a dataset."""
print(f"\nLoading {name}...")
if name == "pancreas":
adata = scptr.datasets.pancreas()
else:
adata = scptr.datasets.dentate_gyrus()
scptr.pp.filter_genes(adata)
scptr.pp.normalize_layers(adata)
scptr.pp.neighbors(adata, n_neighbors=30)
scptr.pp.smooth_layers(adata)
scptr.tl.estimate_beta(adata)
scptr.tl.estimate_gamma(adata)
scptr.tl.variance_decomposition(adata)
scptr.tl.pt_states(adata)
scptr.tl.pt_velocity(adata)
print(f" {name}: {adata.n_obs} cells, {adata.n_vars} genes, "
f"{adata.obs['pt_state'].nunique()} PT states")
return adata
# =========================================================================
# GAP 1: Expression-invisible PT states (Aim 2 central claim)
# =========================================================================
def run_invisible_states(adata, dataset_name):
"""Formally demonstrate that gamma clustering reveals sub-populations
invisible to expression-based clustering.
Method:
1. For each expression cluster, extract cells
2. Re-cluster using gamma profiles (sub-clustering)
3. Test significance via silhouette score and ANOVA on gamma PCs
4. Characterize differentially stabilized genes in sub-clusters
"""
print("\n" + "=" * 60)
print(f"GAP 1: EXPRESSION-INVISIBLE STATES ({dataset_name})")
print("=" * 60)
res_dir = OUTPUT_DIR / "results" / "invisible_states" / dataset_name
res_dir.mkdir(parents=True, exist_ok=True)
fig_prefix = f"invisible_states/{dataset_name}"
gamma = scptr.tools._gamma # just for access to layer
gamma_mat = adata.layers["gamma"]
clusters = adata.obs["clusters"].astype(str)
results = []
for cluster_name in sorted(clusters.unique()):
mask = (clusters == cluster_name).values
n_cells = mask.sum()
if n_cells < 50: # need enough cells for sub-clustering
print(f" {cluster_name}: {n_cells} cells (too few, skipping)")
continue
# Extract gamma for this cluster
gamma_sub = gamma_mat[mask]
# PCA on gamma within this cluster
from sklearn.decomposition import PCA
from sklearn.cluster import KMeans
from sklearn.metrics import silhouette_score
n_pcs = min(15, n_cells - 1, gamma_sub.shape[1] - 1)
pca = PCA(n_components=n_pcs, random_state=42)
gamma_pcs = pca.fit_transform(gamma_sub)
# Try 2-4 sub-clusters, pick best silhouette
best_k = 1
best_sil = -1
best_labels = np.zeros(n_cells, dtype=int)
for k in [2, 3]:
if n_cells < k * 10:
continue
km = KMeans(n_clusters=k, random_state=42, n_init=10)
labels = km.fit_predict(gamma_pcs)
# Only evaluate if all clusters have >= 10 cells
min_size = min(np.bincount(labels))
if min_size < 10:
continue
sil = silhouette_score(gamma_pcs, labels)
if sil > best_sil:
best_sil = sil
best_k = k
best_labels = labels
# Statistical test: MANOVA-like test using gamma PCs
# Use ANOVA on first few PCs as a proxy
if best_k > 1:
p_values_pcs = []
for pc in range(min(5, n_pcs)):
groups = [gamma_pcs[best_labels == j, pc] for j in range(best_k)]
if all(len(g) >= 2 for g in groups):
f_stat, p_val = stats.f_oneway(*groups)
p_values_pcs.append(p_val)
# Combine p-values (Fisher's method)
if p_values_pcs:
# Clamp p-values to avoid log(0)
p_clamped = [max(p, 1e-300) for p in p_values_pcs]
combined_stat = -2 * sum(np.log(p) for p in p_clamped)
from scipy.stats import chi2
combined_p = 1 - chi2.cdf(combined_stat, 2 * len(p_clamped))
else:
combined_p = 1.0
else:
combined_p = 1.0
# Now test if these sub-clusters are visible in expression space
# Use expression PCA and compute silhouette for the SAME labels
expr_sub = adata.X[mask] if not hasattr(adata.X, 'toarray') else adata.X[mask].toarray()
n_expr_pcs = min(15, n_cells - 1, expr_sub.shape[1] - 1)
pca_expr = PCA(n_components=n_expr_pcs, random_state=42)
expr_pcs = pca_expr.fit_transform(expr_sub)
if best_k > 1:
sil_gamma = best_sil
sil_expr = silhouette_score(expr_pcs, best_labels)
else:
sil_gamma = 0
sil_expr = 0
# Find differentially degraded genes between sub-clusters
top_genes = []
if best_k > 1:
median_gamma_by_sub = np.zeros((best_k, gamma_sub.shape[1]))
for j in range(best_k):
median_gamma_by_sub[j] = np.median(gamma_sub[best_labels == j], axis=0)
# Max fold change across sub-clusters
max_gamma = np.max(median_gamma_by_sub, axis=0)
min_gamma = np.minimum(np.min(median_gamma_by_sub, axis=0), 1e-6)
fold_change = max_gamma / np.clip(min_gamma, 1e-6, None)
# Filter to genes with nonzero gamma
nonzero_mask = max_gamma > 0.01
if nonzero_mask.sum() > 0:
fc_masked = fold_change.copy()
fc_masked[~nonzero_mask] = 0
top_idx = np.argsort(fc_masked)[::-1][:20]
top_genes = [adata.var_names[i] for i in top_idx if fc_masked[i] > 1.5]
result = {
"cluster": cluster_name,
"n_cells": int(n_cells),
"n_subclusters": int(best_k),
"silhouette_gamma": float(sil_gamma),
"silhouette_expr": float(sil_expr),
"invisibility_score": float(sil_gamma - sil_expr),
"combined_p": float(combined_p),
"top_diff_genes": top_genes[:10],
}
results.append(result)
status = "INVISIBLE" if sil_gamma > 0.1 and sil_expr < 0.1 else \
"PARTIALLY" if sil_gamma > sil_expr + 0.05 else "VISIBLE"
print(f" {cluster_name}: {n_cells} cells, k={best_k}, "
f"sil_gamma={sil_gamma:.3f}, sil_expr={sil_expr:.3f}, "
f"p={combined_p:.2e} [{status}]")
# Save results
results_df = pd.DataFrame(results)
results_df.to_csv(res_dir / "invisible_states.csv", index=False)
# Summary figure: silhouette in gamma vs expression space
if len(results_df) > 0:
fig, axes = plt.subplots(1, 2, figsize=(13, 5))
# Left: paired bar chart
x = np.arange(len(results_df))
width = 0.35
axes[0].bar(x - width/2, results_df["silhouette_gamma"], width,
label="Gamma space", color="steelblue")
axes[0].bar(x + width/2, results_df["silhouette_expr"], width,
label="Expression space", color="salmon")
axes[0].set_xticks(x)
axes[0].set_xticklabels(results_df["cluster"], rotation=45, ha="right")
axes[0].set_ylabel("Silhouette score")
axes[0].set_title("Sub-cluster separation: Gamma vs Expression")
axes[0].legend()
axes[0].axhline(0, color="gray", linestyle="--", alpha=0.3)
# Right: invisibility score
colors = ["steelblue" if v > 0.05 else "gray"
for v in results_df["invisibility_score"]]
axes[1].barh(results_df["cluster"], results_df["invisibility_score"],
color=colors)
axes[1].set_xlabel("Invisibility score (sil_gamma - sil_expr)")
axes[1].set_title("Expression-invisible PT sub-states")
axes[1].axvline(0, color="gray", linestyle="--", alpha=0.3)
fig.suptitle(f"Expression-Invisible States: {dataset_name}", fontsize=13, y=1.02)
fig.tight_layout()
save_fig(fig, f"invisible_states_{dataset_name}", f"figures/invisible_states")
return results_df
# =========================================================================
# GAP 2: RNA velocity comparison (Aim 3)
# =========================================================================
def run_velocity_comparison(adata, dataset_name):
"""Compare PT velocity with scvelo RNA velocity on the same dataset.
Shows:
1. Side-by-side velocity embeddings
2. Correlation of velocity magnitudes
3. Angular agreement between velocity fields
"""
print("\n" + "=" * 60)
print(f"GAP 2: RNA VELOCITY COMPARISON ({dataset_name})")
print("=" * 60)
res_dir = OUTPUT_DIR / "results" / "velocity_comparison" / dataset_name
res_dir.mkdir(parents=True, exist_ok=True)
import scvelo as scv
# Run scvelo RNA velocity
print(" Running scvelo RNA velocity...")
# scvelo needs its own preprocessing
adata_scv = adata.copy()
# scvelo pipeline
scv.pp.filter_and_normalize(adata_scv, min_shared_counts=20, n_top_genes=2000)
scv.pp.moments(adata_scv, n_pcs=30, n_neighbors=30)
scv.tl.velocity(adata_scv)
# Project scvelo velocity onto the gamma UMAP for fair comparison
# Use the gamma UMAP coordinates from scPTR
if "X_gamma_umap" in adata.obsm:
adata_scv.obsm["X_gamma_umap"] = adata.obsm["X_gamma_umap"]
# Compute UMAP for scvelo data
sc.tl.umap(adata_scv)
# Get velocity vectors
scv_velocity = adata_scv.layers.get("velocity")
pt_velocity = adata.layers.get("pt_velocity")
if scv_velocity is None:
print(" [WARNING] scvelo velocity not computed, skipping comparison")
return
print(f" scvelo velocity shape: {scv_velocity.shape}")
print(f" PT velocity shape: {pt_velocity.shape}")
# Find shared genes
shared_genes = adata.var_names.intersection(adata_scv.var_names)
print(f" Shared genes: {len(shared_genes)}")
# Compare velocity magnitudes per cell
# Use scvelo's gene set for fair comparison
scv_genes = adata_scv.var_names
scv_gene_idx_in_adata = [list(adata.var_names).index(g)
for g in scv_genes if g in adata.var_names]
pt_vel_shared = pt_velocity[:, scv_gene_idx_in_adata]
scv_vel_shared_genes = [g for g in scv_genes if g in adata.var_names]
scv_vel_idx = [list(adata_scv.var_names).index(g) for g in scv_vel_shared_genes]
scv_vel_shared = scv_velocity[:, scv_vel_idx]
# Handle NaN in scvelo
scv_vel_shared = np.nan_to_num(scv_vel_shared, 0)
# Per-cell velocity magnitude
pt_mag = np.linalg.norm(pt_vel_shared, axis=1)
scv_mag = np.linalg.norm(scv_vel_shared, axis=1)
# Cosine similarity per cell
dot_product = np.sum(pt_vel_shared * scv_vel_shared, axis=1)
norms = pt_mag * scv_mag
norms = np.clip(norms, 1e-10, None)
cosine_sim = dot_product / norms
# Filter to cells with nonzero velocity in both
valid = (pt_mag > 1e-6) & (scv_mag > 1e-6)
print(f" Cells with nonzero velocity in both: {valid.sum()}/{len(valid)}")
if valid.sum() > 10:
mag_corr, mag_p = stats.spearmanr(pt_mag[valid], scv_mag[valid])
mean_cosine = np.mean(cosine_sim[valid])
print(f" Magnitude Spearman r = {mag_corr:.4f} (p={mag_p:.2e})")
print(f" Mean cosine similarity = {mean_cosine:.4f}")
else:
mag_corr = np.nan
mean_cosine = np.nan
# Save results
results = {
"n_shared_genes": len(scv_vel_shared_genes),
"n_cells_both_nonzero": int(valid.sum()),
"magnitude_spearman_r": float(mag_corr) if not np.isnan(mag_corr) else None,
"mean_cosine_similarity": float(mean_cosine) if not np.isnan(mean_cosine) else None,
}
with open(res_dir / "velocity_comparison.json", "w") as f:
json.dump(results, f, indent=2)
# Figure: 2x2 panel
fig, axes = plt.subplots(2, 2, figsize=(12, 10))
# Top-left: scvelo velocity on scvelo UMAP
coords_scv = adata_scv.obsm.get("X_umap")
if coords_scv is not None:
axes[0, 0].scatter(coords_scv[:, 0], coords_scv[:, 1],
c=scv_mag, cmap="YlOrRd", s=3, alpha=0.5,
vmax=np.percentile(scv_mag, 95))
axes[0, 0].set_title("RNA Velocity magnitude (scvelo UMAP)")
axes[0, 0].set_xlabel("UMAP 1")
axes[0, 0].set_ylabel("UMAP 2")
# Top-right: PT velocity on gamma UMAP
coords_gamma = adata.obsm.get("X_gamma_umap")
if coords_gamma is not None:
axes[0, 1].scatter(coords_gamma[:, 0], coords_gamma[:, 1],
c=pt_mag, cmap="YlOrRd", s=3, alpha=0.5,
vmax=np.percentile(pt_mag, 95))
axes[0, 1].set_title("PT Velocity magnitude (gamma UMAP)")
axes[0, 1].set_xlabel("UMAP 1")
axes[0, 1].set_ylabel("UMAP 2")
# Bottom-left: magnitude correlation
if valid.sum() > 10:
axes[1, 0].scatter(scv_mag[valid], pt_mag[valid], alpha=0.1, s=3, c="steelblue")
axes[1, 0].set_xlabel("RNA velocity magnitude")
axes[1, 0].set_ylabel("PT velocity magnitude")
axes[1, 0].set_title(f"Magnitude correlation (r={mag_corr:.3f})")
# Bottom-right: cosine similarity distribution
if valid.sum() > 10:
axes[1, 1].hist(cosine_sim[valid], bins=50, color="steelblue",
alpha=0.8, edgecolor="white")
axes[1, 1].axvline(mean_cosine, color="red", linestyle="--",
label=f"Mean={mean_cosine:.3f}")
axes[1, 1].set_xlabel("Cosine similarity (PT vel vs RNA vel)")
axes[1, 1].set_ylabel("Number of cells")
axes[1, 1].set_title("Directional agreement")
axes[1, 1].legend()
fig.suptitle(f"PT Velocity vs RNA Velocity: {dataset_name}", fontsize=13, y=1.02)
fig.tight_layout()
save_fig(fig, f"velocity_comparison_{dataset_name}", "figures/velocity_comparison")
return results
# =========================================================================
# GAP 3: Network inference on real data (Aim 4)
# =========================================================================
def run_network_inference(adata, dataset_name):
"""Run RBP-target network inference on real data.
Identifies RBPs whose expression correlates with target gene gamma shifts.
"""
print("\n" + "=" * 60)
print(f"GAP 3: NETWORK INFERENCE ({dataset_name})")
print("=" * 60)
res_dir = OUTPUT_DIR / "results" / "network" / dataset_name
res_dir.mkdir(parents=True, exist_ok=True)
# Get known RBPs that are expressed in this dataset
known_rbps = scptr.tl.list_known_rbps(organism="mouse")
rbp_genes = [g for g in known_rbps if g in adata.var_names]
print(f" Known RBPs in dataset: {len(rbp_genes)}/{len(known_rbps)}")
if len(rbp_genes) < 5:
print(" Too few RBPs, skipping network inference")
return
# Get top differentially degraded genes as targets
gamma = adata.layers["gamma"]
gamma_var = np.var(gamma, axis=0)
# Use top 500 most variable gamma genes as targets
top_targets_idx = np.argsort(gamma_var)[::-1][:500]
target_genes = [adata.var_names[i] for i in top_targets_idx
if gamma_var[i] > 0 and adata.var_names[i] not in rbp_genes]
target_genes = target_genes[:200]
print(f" Target genes (top variable gamma): {len(target_genes)}")
# For each cell type, compute correlation between RBP expression and
# target gene gamma
clusters = adata.obs["clusters"].astype(str)
all_edges = []
for cluster_name in sorted(clusters.unique()):
mask = (clusters == cluster_name).values
n_cells = mask.sum()
if n_cells < 30:
continue
# Get expression of RBPs in this cluster
rbp_idx = [list(adata.var_names).index(g) for g in rbp_genes]
if hasattr(adata.X, 'toarray'):
rbp_expr = adata.X[mask][:, rbp_idx].toarray()
else:
rbp_expr = adata.X[mask][:, rbp_idx]
# Get gamma of target genes
target_idx = [list(adata.var_names).index(g) for g in target_genes]
target_gamma = gamma[mask][:, target_idx]
# Correlation: RBP expression vs target gamma
for ri, rbp in enumerate(rbp_genes):
rbp_x = rbp_expr[:, ri]
if np.std(rbp_x) < 1e-6:
continue
for ti, target in enumerate(target_genes):
target_g = target_gamma[:, ti]
if np.std(target_g) < 1e-6:
continue
r, p = stats.spearmanr(rbp_x, target_g)
if abs(r) > 0.2 and p < 0.01:
all_edges.append({
"cluster": cluster_name,
"rbp": rbp,
"target": target,
"spearman_r": float(r),
"p_value": float(p),
"direction": "stabilizing" if r < 0 else "destabilizing",
})
edges_df = pd.DataFrame(all_edges)
if len(edges_df) > 0:
# Multiple testing correction (Benjamini-Hochberg)
from statsmodels.stats.multitest import multipletests
_, edges_df["fdr"], _, _ = multipletests(edges_df["p_value"], method="fdr_bh")
edges_df = edges_df[edges_df["fdr"] < 0.05].copy()
edges_df.to_csv(res_dir / "network_edges.csv", index=False)
print(f" Significant edges (FDR<0.05): {len(edges_df)}")
if len(edges_df) > 0:
# Top RBP hubs
hub_counts = edges_df.groupby("rbp").size().sort_values(ascending=False)
print(f"\n Top RBP hubs:")
for rbp, count in hub_counts.head(15).items():
n_stab = len(edges_df[(edges_df["rbp"] == rbp) & (edges_df["direction"] == "stabilizing")])
n_dest = len(edges_df[(edges_df["rbp"] == rbp) & (edges_df["direction"] == "destabilizing")])
print(f" {rbp}: {count} targets ({n_stab} stabilizing, {n_dest} destabilizing)")
hub_counts.head(30).to_csv(res_dir / "rbp_hub_counts.csv")
# Network summary figure
fig, axes = plt.subplots(1, 2, figsize=(13, 5))
# Left: top RBP hubs
top_hubs = hub_counts.head(20)
colors = ["steelblue" if h > hub_counts.median() else "lightblue"
for h in top_hubs.values]
axes[0].barh(range(len(top_hubs)), top_hubs.values, color=colors)
axes[0].set_yticks(range(len(top_hubs)))
axes[0].set_yticklabels(top_hubs.index)
axes[0].set_xlabel("Number of target genes")
axes[0].set_title("Top RBP Regulators")
axes[0].invert_yaxis()
# Right: effect size distribution
axes[1].hist(edges_df["spearman_r"], bins=40, color="steelblue",
alpha=0.8, edgecolor="white")
axes[1].axvline(0, color="red", linestyle="--", alpha=0.5)
n_stab = (edges_df["direction"] == "stabilizing").sum()
n_dest = (edges_df["direction"] == "destabilizing").sum()
axes[1].set_xlabel("Spearman correlation (RBP expr vs target gamma)")
axes[1].set_ylabel("Number of edges")
axes[1].set_title(f"Edge effects: {n_stab} stabilizing, {n_dest} destabilizing")
fig.suptitle(f"RBP-Target Network: {dataset_name}", fontsize=13, y=1.02)
fig.tight_layout()
save_fig(fig, f"network_{dataset_name}", "figures/network")
return edges_df
# =========================================================================
# MAIN
# =========================================================================
def main():
set_figure_style()
OUTPUT_DIR.mkdir(parents=True, exist_ok=True)
# Process both datasets
panc = process_dataset("pancreas")
dg = process_dataset("dentate_gyrus")
# GAP 1: Expression-invisible states
invis_panc = run_invisible_states(panc, "pancreas")
invis_dg = run_invisible_states(dg, "dentate_gyrus")
# GAP 2: RNA velocity comparison
vel_panc = run_velocity_comparison(panc, "pancreas")
vel_dg = run_velocity_comparison(dg, "dentate_gyrus")
# GAP 3: Network inference
net_panc = run_network_inference(panc, "pancreas")
net_dg = run_network_inference(dg, "dentate_gyrus")
# Summary
print("\n" + "=" * 60)
print("GAP ANALYSIS COMPLETE")
print("=" * 60)
print(f"\nAll results saved to: {OUTPUT_DIR.resolve()}")
if __name__ == "__main__":
main()
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