NumaCellState Module

This is an implementation of a three-state cell death model, an evolution equation with Alive, Vulnerable and Dead states. All three transition to the next, based on temperature, while Vulnerable is additionally able to transition to Alive.

This builds to libnuma-cellstate.so.

NumaCellStateSolver

As no spatial derivatives are involved, this solver does not require an FE matrix solution. Instead it uses RK4 timestepping with the secant method for obtaining an iterative series of approximations.

Parameters

Parameter	Location	Type	Default	Description
Temperature	-	Variable	-	Used for temperature-dependent coefficients (req)
Time	-	Variable	-	Simulation time (req)
Nonlinear System Max Iterations	Solver	Integer	1	Maximum internal iterations
Nonlinear System Abort Not Converged	Solver	Logical	TRUE	Stop if not converged
Nonlinear System Convergence Tolerance	Solver	Real	3.0	Stop when error is below this
Nonlinear System Relaxation Factor	Solver	Real	1.0	Relaxation factor
Forward Rate	Solver	Real	0.00333	$ k_f $
Backward Rate	Solver	Real	0.00777	$ k_b $
Exponential Rate	Solver	Real	40.5	$ T_k $
Enforce Variable Bounds	Solver	Logical	FALSE	Max/min pointwise values at theoretical max/min (0.0/1.0)