A delay differential equation solver for MONOLIX & MLXPLORE

Raphaël Kuate (1) , Marc Lavielle (1, 2) , Eric Blaudez (3) , Kaelig Chatel (3) , Jerome Marquet (3) , Jean-François Si Abdallah (3)

1 POPIX - Modélisation en pharmacologie de population
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay
3 Lixoft

We describe the implementation of a Delay differential Equation (DDE) solver in Monolix, a platform for population modeling of longitudinal data, and MlxPlore, a tool for the exploration of complex models. We use explicit Runge-Kutta schemes. Several examples for MlxPlore and Monolix are proposed.

Mots clés: delay differential equations; solver; algorithm; Runge-Kutta formulas; modeling; pharmacokinetics; pharmacodynamics; Monolix; MlxPlore.; MlxPlore

Domaines: Analyse numérique [math.NA]

Raphaël Kuate, Marc Lavielle, Eric Blaudez, Kaelig Chatel, Jerome Marquet, et al.. A delay differential equation solver for MONOLIX & MLXPLORE. [Research Report] RR-8489, INRIA. 2014, pp.19. ⟨hal-00952874⟩