In solving a system of biological ODEs, for certain parameter values I am getting solutions that “erroneously” go negative. However, I found this discussion on the DifferentialEquations.jl FAQ page: “The following set of tools are designed to accuracy enforce positivity in ODE models, which mathema…

[image] homegnome0: The basic form is: What are the parameter values? Are they fixed or e.g. optimized over? This is an illustration of the Hill function from Wikipedia: [Hill-Langmuir equation.svg] By D Wells - Own work, CC BY-SA 4.0 , Link For coefficients between 0 and 1 it does have the…

ODE solution positivity for systems biology models

Specific Domains Modelling & Simulations

ranocha March 6, 2025, 5:46am 4

Could you please write down the form of the ODE thay causes trouble? It would of course be nice if the model is as simple as possible.

2 Likes

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PositiveDomain callback and isoutofdomain implementation New to Julia diffeq	17	3295	May 29, 2018
Domain Troubles with Differential Equations Solver (with non-auto-differentiable function inside the ODE def) Numerics question , diffeq	33	3576	August 19, 2018
Using DiffEq isoutofdomain to enforce positivity General Usage	13	2014	July 12, 2020
How can I implement positive Domain for sundials CVODE_BDF ? Also, try to compare both isoutofdomain , with julia solvers, one question there, Thanks General Usage ode	4	544	July 24, 2020
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ODE solution positivity for systems biology models

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