Michaelis-Menten ratio relations enforced exactly for 18 intermediates
x1: max per-equation relative residual with the uncorrected rates: 2.196e-14
x3: max per-equation relative residual with the uncorrected rates: 2.196e-14
rank of stacked steady-state matrix A: 86 of 104 rows
exact square solve (86 basic rate constants, the other 72 kept at their design values) in 0.1s
max relative change of rate constants: 4.392e-14
EXACT VERIFICATION: f(x1)=0: True ; f(x3)=0: True ; same stoichiometric class: True ; x1 != x3: True ; all 158 rate constants > 0: True ; all 2x57 concentrations > 0: True
class totals (TCR, pMHC, Lck, ZAP-70, CD8) ~ 475.702, 454.101, 100000, 100000, 1
free pMHC1: x1 = 0.005388694 , x3 = 213.94455
certificate written to out_full_module_certificate.json
