The Franquero Dynamics Framework: A Quantitative Model for Temporal Optimization of Glycocalyx Modification, Costimulation, and Checkpoint Inhibition in Immunotherapy

The tumor glycocalyx creates a physical barrier (120 nm) that prevents immune synapse formation (≤ 13 nm), limiting immunotherapy efficacy. Here we present the Franquero Dynamics Framework (FDF), a quantitative computational model integrating three therapeutic pillars: (1) enzymatic glycocalyx modification, (2) CD28/4-1BB costimulation, and (3) checkpoint inhibition. Using mathematical modeling of cytotoxicity as a function of glycocalyx height, we identified optimal dosing parameters and sequential timing achieving 100% killing. Our model predicts that enzyme administration (2 units) reduces glycocalyx from 120 nm to 66 nm; costimulation (10 units at 18h) provides a 60% additive boost; and checkpoint inhibitors (20 units at 42h) reduce PD-L1 by 93% and exhaustion by 88%. The framework demonstrates that multi-scale dynamics—from molecular conformations (p53) to cellular synapses to therapeutic timing—are interconnected and that time and sequence are fundamental. This provides a quantitative roadmap for designing next-generation immunotherapies with curative potential.