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TSSM: TriAxis Synergy Scoring Model

1. Metric Overview

The TriAxis Synergy Scoring Model (TSSM) is the primary quantitative metric used within the Synergistic Evaluation Framework (SEF) to measure therapeutic synergy across three critical pharmacologic axes:

  1. Potency (P)
  2. Precision (R)
  3. Persistence (T)

TSSM evaluates whether a therapeutic system produces sustained biological pressure against a disease system while avoiding selective evolutionary pressure that generates resistance.

This metric is directly aligned with the SCF core principle of Resistance Prevention.

Within the SEF architecture, synergy is defined not simply as additive pharmacologic interaction but as a multi-axis convergence of therapeutic effectiveness across time, target specificity, and magnitude of effect.

2. Conceptual Rationale

Traditional drug synergy metrics typically measure only dose-response amplification. However, therapeutic durability in complex diseases requires simultaneous optimization of three independent dimensions:

Axis
Biological Meaning
Potency
Magnitude of biological effect
Precision
Target specificity within biological networks
Persistence
Duration of therapeutic activity

A therapy may be potent but poorly targeted, resulting in toxicity.

Alternatively, it may be precise but transient, leading to insufficient therapeutic pressure.

The TSSM metric therefore measures the geometric convergence of these three axes.

3. Mathematical Formulation

The TriAxis Synergy Score is defined as:

TSSM=Pα×Rβ×TγTSSM = P^{\alpha} \times R^{\beta} \times T^{\gamma}TSSM=Pα×Rβ×Tγ

Where:

Variable
Definition
P
Potency coefficient
R
Precision coefficient
T
Persistence coefficient
\alpha, \beta, \gamma
weighting exponents

The exponents allow calibration of the metric depending on therapeutic area.

Typical starting values:

α=1,β=1,γ=1\alpha = 1,\quad \beta = 1,\quad \gamma = 1α=1,β=1,γ=1

4. Component Definitions

4.1 Potency (P)

Potency measures the magnitude of therapeutic effect relative to baseline biological activity.

P=EmaxEC50P = \frac{E_{max}}{EC_{50}}P=EC50​Emax​​

Where:

Symbol
Meaning
EmaxE_{max}Emax​
maximum therapeutic effect
EC50EC_{50}EC50​
half-maximal effective concentration

Higher potency results in greater therapeutic pressure on the disease system.

4.2 Precision (R)

Precision quantifies target specificity within biological networks.

R=BtargetBtotalR = \frac{B_{target}}{B_{total}}R=Btotal​Btarget​​

Where:

Symbol
Meaning
B_{target}
binding events to disease-specific targets
B_{total}
total molecular binding interactions

Precision approaches 1 when the majority of drug interactions occur at disease-relevant targets.

4.3 Persistence (T)

Persistence represents the temporal stability of therapeutic activity.

T=tactivetclearanceT = \frac{t_{active}}{t_{clearance}}T=tclearance​tactive​​

Where:

Symbol
Meaning
tactivet_{active}tactive​
duration of therapeutic activity
tclearancet_{clearance}tclearance​
pharmacokinetic clearance time

Higher persistence indicates sustained therapeutic pressure.

5. Expanded TSSM Equation

Substituting component equations:

TSSM=(EmaxEC50)α×(BtargetBtotal)β×(tactivetclearance)γTSSM = \left(\frac{E_{max}}{EC_{50}}\right)^{\alpha} \times \left(\frac{B_{target}}{B_{total}}\right)^{\beta} \times \left(\frac{t_{active}}{t_{clearance}}\right)^{\gamma}TSSM=(EC50​Emax​​)α×(Btotal​Btarget​​)β×(tclearance​tactive​​)γ

This equation integrates pharmacodynamics, pharmacokinetics, and molecular targeting into a single synergy score.

6. Interpretation of Score

TSSM Score
Interpretation
< 1
weak therapeutic synergy
1–3
moderate synergy
3–10
strong synergy
> 10
exceptional multi-axis synergy

High scores indicate therapies capable of exerting sustained and targeted biological pressure against disease systems.

7. Experimental Measurement

TSSM components are derived from laboratory data.

Potency

Measured using:

  • dose-response curves
  • IC50 / EC50 assays
  • cellular viability assays

Precision

Measured using:

  • receptor binding assays
  • ligand-target docking studies
  • proteomic interaction mapping

Persistence

Measured using:

  • pharmacokinetic half-life
  • time-course efficacy assays
  • drug stability measurements

These measurements correspond to traditional laboratory techniques used to evaluate pharmacologic activity.

8. Example Calculation

Suppose experimental data yields:

Parameter
Value
EmaxE_{max}Emax​
0.90
EC50EC_{50}EC50​
0.15
Btarget/BtotalB_{target}/B_{total}Btarget​/Btotal​
0.80
tactive/tclearancet_{active}/t_{clearance}tactive​/tclearance​
2.5

Potency:

P=0.900.15=6P = \frac{0.90}{0.15} = 6P=0.150.90​=6

Precision:

R = 0.80

Persistence:

T = 2.5

TSSM:

TSSM=6×0.80×2.5TSSM = 6 \times 0.80 \times 2.5TSSM=6×0.80×2.5

TSSM = 12

Interpretation: exceptionally strong therapeutic synergy.

9. Role in SCF Drug Design

Within the SCF therapeutic engineering pipeline, TSSM is used to:

  • rank candidate compounds
  • evaluate synergistic drug combinations
  • simulate resistance barriers
  • optimize therapeutic architectures

Because TSSM incorporates persistence and precision alongside potency, it serves as a predictive indicator of long-term therapeutic durability.

10. Limitations

Potential limitations include:

Limitation
Explanation
biological variability
cell models may not reflect clinical systems
target mapping uncertainty
incomplete interactome data
pharmacokinetic modeling
variability across tissues

Future development may incorporate machine learning-based optimization of exponent parameters.

Summary

The TriAxis Synergy Scoring Model (TSSM) provides a quantitative method for evaluating therapeutic synergy across potency, precision, and persistence. By integrating these three dimensions, the metric enables rational engineering of therapies capable of sustaining biological pressure against complex disease networks while minimizing resistance development.

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