Published September 20, 2026 | Version 0.1.0-candidate

Exactly five positive steady states in a two-ligand T-cell activation model

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Unrefereed mathematical candidate. An explicit rational parameter choice for the full two-ligand T-cell activation model at N=100 has exactly five physical positive equilibria. A degree-201 integer certificate, scalar-equilibrium bijection and continuity argument establish the exact count, scalar simplicity and an open parameter neighborhood.

Includes original standard-library code (MIT), manuscript, exact data and internal model-mediated editorial reports. Original prose/data CC0-1.0; third-party supplied audits are acknowledged but not redistributed. No external peer review, proof-assistant verification, stability, biological plausibility, agonist-only resolution or historical priority is claimed.

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