Drug-combination synergy analysis — quantify whether two drugs together are synergistic, additive, or antagonistic using the standard reference models (Bliss independence, HSA / highest single agent, Loewe additivity, ZIP, and the Chou-Talalay Combination Index). Use when you have measured single-drug and combination effects (inhibition/viability) and need a synergy score. Explains which model to use, what data each one needs, and how to read the score. NOT for looking up pre-computed synergy in a database (use the SYNERGxDB tool / cell-line-profiling skill).
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Decide whether a two-drug combination does more than expected (synergy), exactly as expected (additivity), or less (antagonism) — and pick the right reference model for the data you have.
"Synergy" only means something relative to a null model of additivity, and the models define additivity differently — so the first decision is which model, driven by what data you measured.
| You measured… | Use model | Tool | Input |
|---|---|---|---|
| Single effects of A, B, and A+B at one dose pair | Bliss | DrugSynergy_calculate_bliss | effect_a, effect_b, effect_combination (each a fraction 0–1) |
| Effects of A, B, A+B across several dose points | HSA | DrugSynergy_calculate_hsa | effects_a, effects_b, effects_combo (arrays) |
| Single-agent dose-response curves + one combination point | Loewe | DrugSynergy_calculate_loewe | doses_a_single/effects_a_single, doses_b_single/effects_b_single, dose_a_combo, dose_b_combo, effect_combo |
| Single-agent dose-response + combo point, want Chou-Talalay CI | Combination Index | DrugSynergy_calculate_ci | same as Loewe + assumption |
| A full dose × dose viability matrix | ZIP | DrugSynergy_calculate_zip | doses_a, doses_b, viability_matrix (% , 0–100) |
Effects must be on a consistent inhibition scale. Bliss/HSA/Loewe expect fractional inhibition
0–1(0 = no effect, 1 = complete kill). If your data is % viability, convert:inhibition = 1 − viability/100. ZIP takes the viability matrix in % directly. Mixing scales is the most common error.
| Model | Null (additive) expectation | Best when |
|---|---|---|
| Bliss independence | drugs act independently: E_exp = E_a + E_b − E_a·E_b | different mechanisms; quick single-point screen |
| HSA (highest single agent) | combo should beat the better single agent: E_exp = max(E_a, E_b) | conservative "does it beat monotherapy?" question |
| Loewe additivity | a drug combined with itself = additive (dose equivalence) | same/similar mechanism; needs dose-response |
| ZIP | combines Bliss + Loewe; potency shift of one drug's curve by the other | dose-matrix screens (the SynergyFinder default) |
| Chou-Talalay CI | CI<1 synergy, =1 additive, >1 antagonism (median-effect) | classic isobologram-style analysis with dose-response |
There is no single "correct" model — state which one you used. Bliss and Loewe genuinely disagree for some combinations (that's expected, not an error); reporting two models (e.g. Bliss + HSA, or Loewe + ZIP) is good practice.
# Bliss (single dose pair, fractional inhibition)
tu run DrugSynergy_calculate_bliss '{"operation":"calculate_bliss",
"effect_a":0.4,"effect_b":0.3,"effect_combination":0.7}'
# -> expected 0.58, bliss_synergy_score 0.12, "Strong synergy"scripts/synergy_reference.py computes the Bliss, HSA, and Loewe-style expected combination effects side-by-side from one dose pair, so you can see at a glance whether the models agree before running the full tools.
For Bliss/HSA/Loewe/ZIP, the synergy score is (observed − expected) (often ×100):
| Score (fractional, ×100 scale) | Call |
|---|---|
| > +10 | synergy |
| −10 to +10 | additive (no meaningful interaction) |
| < −10 | antagonism |
For Combination Index (Chou-Talalay): CI < 1 = synergy, CI = 1 additive, CI > 1 antagonism (note the opposite direction — lower is more synergistic).
tooluniverse-dose-response — fit the single-agent IC50/EC50 curves that Loewe/CI/ZIP need.tooluniverse-cell-line-profiling — look up pre-computed combination synergy (SYNERGxDB).tooluniverse-drug-repurposing / tooluniverse-network-pharmacology — rationale for combinations.089eb8e
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since Jul 28, 2026
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