--- name: flux-analyzer description: > Analyse FBA flux distributions to extract biological insights. Covers gene essentiality, phenotypic phase planes, flux sampling, pathway-level aggregation, secretion product prediction, and production of publication- quality figures. metadata: category: domain trigger-keywords: "metabolic,flux analysis,gene essentiality,synthetic lethality,production envelope,phase plane,flux sampling,secretion,yield,metabolic engineering" applicable-stages: "9,10,12,13,14,15,16,17,20" priority: "1" --- ## Overview The `flux-analyzer` skill transforms raw FBA output into actionable biological knowledge. It operates on FBA result files and the COBRApy model to produce gene essentiality maps, phenotypic phase planes (PPP), flux sampling distributions, pathway-level summaries, and product secretion profiles. This skill is the metabolic-modelling analogue of event reconstruction and phenomenology summary stage in the ColliderAgent pipeline: it turns numbers into biology. --- ## Workflow ### Step 1 — Load Model and FBA Results ```python import cobra import cobra.io import cobra.flux_analysis import cobra.sampling import pandas as pd import numpy as np import matplotlib matplotlib.use("Agg") import matplotlib.pyplot as plt model = cobra.io.load_json_model("my_model.json") fba_fluxes = pd.read_csv("fba_fluxes.csv", index_col=0)["flux_mmol_gDW_h"] wt_growth = model.optimize().objective_value print(f"Wild-type growth: {wt_growth:.4f} h^-1") ``` ### Step 2 — Gene Essentiality Analysis Essential genes are those whose deletion reduces growth to below 5% of wild-type — a widely used lethality criterion. ```python from cobra.flux_analysis import single_gene_deletion, double_gene_deletion # --- Single gene essentiality --- sg_deletion = single_gene_deletion(model) sg_deletion.columns = ["growth", "status"] sg_deletion["is_essential"] = sg_deletion["growth"] < 0.05 * wt_growth sg_deletion["growth_fraction"] = sg_deletion["growth"] / wt_growth essential_genes = sg_deletion[sg_deletion["is_essential"]] print(f"Essential genes: {len(essential_genes)} / {len(model.genes)}") sg_deletion.to_csv("gene_essentiality.csv") # --- Double gene essentiality (synthetic lethality) --- # Limit to a focused gene set to reduce compute time target_genes = list(model.genes)[:50] # adjust as needed dg_deletion = double_gene_deletion(model, target_genes, target_genes) dg_deletion.columns = ["growth", "status"] dg_deletion["is_synthetic_lethal"] = dg_deletion["growth"] < 0.05 * wt_growth dg_deletion.to_csv("double_gene_essentiality.csv") ``` ### Step 3 — Reaction Essentiality Analysis ```python from cobra.flux_analysis import single_reaction_deletion sr_deletion = single_reaction_deletion(model) sr_deletion.columns = ["growth", "status"] sr_deletion["is_essential"] = sr_deletion["growth"] < 0.05 * wt_growth essential_rxns = sr_deletion[sr_deletion["is_essential"]] print(f"Essential reactions: {len(essential_rxns)} / {len(model.reactions)}") sr_deletion.to_csv("reaction_essentiality.csv") ``` ### Step 4 — Phenotypic Phase Plane (PPP) The PPP maps growth rate over a 2D grid of two nutrient uptake rates, revealing metabolic phase transitions (aerobic growth, mixed-acid fermentation, etc.). ```python from cobra.flux_analysis import production_envelope # Phase plane: glucose uptake vs. oxygen uptake ppp = production_envelope( model, ["EX_glc__D_e", "EX_o2_e"], # x and y axes objective=model.reactions.get_by_id("BIOMASS_Ec_iJO1366_core_53p95M"), points=20, ) print(ppp.head()) # Plot heatmap fig, ax = plt.subplots(figsize=(8, 6)) pivot = ppp.pivot_table( index="EX_o2_e", columns="EX_glc__D_e", values="flux_maximum" ) im = ax.imshow(pivot.values, aspect="auto", origin="lower", cmap="viridis", extent=[ppp["EX_glc__D_e"].min(), ppp["EX_glc__D_e"].max(), ppp["EX_o2_e"].min(), ppp["EX_o2_e"].max()]) plt.colorbar(im, ax=ax, label="Growth rate (h$^{-1}$)") ax.set_xlabel("Glucose uptake (mmol/gDW/h)") ax.set_ylabel("O$_2$ uptake (mmol/gDW/h)") ax.set_title("Phenotypic Phase Plane") fig.tight_layout() fig.savefig("phenotypic_phase_plane.pdf", dpi=300) fig.savefig("phenotypic_phase_plane.png", dpi=150) plt.close(fig) print("PPP saved to phenotypic_phase_plane.pdf") ``` ### Step 5 — Flux Sampling Flux sampling explores the full space of feasible steady-state flux distributions, revealing which reactions have wide vs. narrow feasible ranges. ```python # OptGP sampler: Markov-chain Monte Carlo in flux cone samples = cobra.sampling.sample(model, n=1000, method="optgp", thinning=100, processes=4) # samples is a DataFrame: rows = samples, columns = reaction IDs samples.to_csv("flux_samples.csv", index=False) # Violin plot for key central metabolism reactions KEY_REACTIONS = ["PFK", "PGI", "PDH", "CS", "AKGDH", "EX_glc__D_e", "EX_ac_e", "EX_co2_e"] key_data = samples[[r for r in KEY_REACTIONS if r in samples.columns]] fig, ax = plt.subplots(figsize=(10, 5)) ax.violinplot([key_data[c].values for c in key_data.columns], positions=range(len(key_data.columns)), showmedians=True) ax.set_xticks(range(len(key_data.columns))) ax.set_xticklabels(key_data.columns, rotation=45, ha="right") ax.set_ylabel("Flux (mmol/gDW/h)") ax.set_title("Flux Sampling Distribution (n=1000)") fig.tight_layout() fig.savefig("flux_sampling_violin.pdf", dpi=300) plt.close(fig) print("Flux sampling violin plot saved.") ``` ### Step 6 — Pathway-Level Flux Aggregation Group reactions by metabolic subsystem and compute total absolute flux per pathway — a proxy for pathway activity. ```python pathway_flux = {} for rxn in model.reactions: subsystem = rxn.subsystem or "Unknown" flux_val = abs(fba_fluxes.get(rxn.id, 0.0)) pathway_flux[subsystem] = pathway_flux.get(subsystem, 0.0) + flux_val pathway_df = (pd.Series(pathway_flux, name="total_abs_flux") .sort_values(ascending=False) .reset_index() .rename(columns={"index": "subsystem"})) pathway_df.to_csv("pathway_flux_summary.csv", index=False) # Bar chart of top 15 pathways top15 = pathway_df.head(15) fig, ax = plt.subplots(figsize=(10, 6)) ax.barh(top15["subsystem"][::-1], top15["total_abs_flux"][::-1], color="steelblue") ax.set_xlabel("Sum of |flux| (mmol/gDW/h)") ax.set_title("Top 15 Pathway Activities (FBA)") fig.tight_layout() fig.savefig("pathway_activity.pdf", dpi=300) plt.close(fig) print("Pathway activity chart saved.") ``` ### Step 7 — Secretion Product Prediction Identify exchange reactions carrying positive flux (secretion) at optimal growth — these are by-products and potential products of interest. ```python secretion = {} for rxn in model.exchanges: flux = fba_fluxes.get(rxn.id, 0.0) if flux > 1e-6: # positive = secretion met = list(rxn.metabolites)[0] secretion[rxn.id] = { "metabolite": met.name, "formula": met.formula, "flux_mmol_gDW_h": flux, } sec_df = pd.DataFrame(secretion).T.sort_values("flux_mmol_gDW_h", ascending=False) print("\nSecreted products:") print(sec_df.to_string()) sec_df.to_csv("secretion_profile.csv") ``` --- ## Key Conventions | Analysis | Lethality Threshold | Standard Reference | |---|---|---| | Single gene deletion | growth < 5% WT | Joyce & Palsson, 2006 | | Double gene deletion (synthetic lethal) | growth < 5% WT | Deutscher et al., 2008 | | Reaction deletion | growth < 5% WT | Consistent with gene deletion | | PPP nutrient grid | 0–20 mmol/gDW/h, 50 steps | COBRApy default | | Flux sampling (OptGP) | n = 1000, thinning = 100 | Megchelenbrink et al., 2014 | ### Output File Conventions | File | Content | |---|---| | `gene_essentiality.csv` | Per-gene growth fraction and essentiality flag | | `double_gene_essentiality.csv` | Pairwise synthetic lethality matrix | | `reaction_essentiality.csv` | Per-reaction growth fraction and essentiality flag | | `phenotypic_phase_plane.pdf` | 2D heatmap of growth vs. two nutrients | | `flux_samples.csv` | Raw 1000-sample flux matrix | | `flux_sampling_violin.pdf` | Violin plot of key reaction distributions | | `pathway_flux_summary.csv` | Total absolute flux per metabolic subsystem | | `pathway_activity.pdf` | Bar chart of top 15 active pathways | | `secretion_profile.csv` | All secreted by-products at optimal growth | ### Common Failure Modes - **PPP returns all zeros**: objective reaction ID does not match model; check `model.objective.expression` for correct reaction ID. - **Flux sampling ACHR crashes**: `optgp` (default) is more stable for large models; for models with >5000 reactions use `processes=1` to debug. - **No secretion products**: model may be forced to be strictly aerobic with all carbon converted to CO2; verify exchange bounds allow secretion (`ub = 1000` on exchange reactions).