Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Physiologically structured cell population dynamic models with applications to combined drug delivery optimisation in oncology

Abstract : In this paper, we introduce a model for drug delivery optimisation in a chronotherapeu-tics framework. We present a pharmacokinetics and pharmacodynamics model for oxaliplatin and 5-Fluorouracil, a classic therapeutic association in the treatment of colorectal cancer. We derive the phar-macokinetics model using law of mass action and enzyme kinetics. We design an age-structured cell cycle PDE model with drug damage and repair phases to account for the effect of the drugs on proliferating cell populations, with different parameters for healthy and cancerous cells. Our goal is to minimise the growth rate of cancerous cells while maintaining the growth rate of healthy cells above a given toxicity threshold. We numerically optimise the drug delivery schedules under our model and obtain theoretically efficient infusion schemes in a chronotherapeutics framework.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [76 references]  Display  Hide  Download

https://hal.inria.fr/hal-01321536
Contributor : Jean Clairambault <>
Submitted on : Wednesday, May 25, 2016 - 11:31:27 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:01 PM
Document(s) archivé(s) le : Friday, August 26, 2016 - 11:10:17 AM

File

JO4MMNP2016.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01321536, version 1

Citation

Jean Clairambault, Olivier Fercoq. Physiologically structured cell population dynamic models with applications to combined drug delivery optimisation in oncology. 2016. ⟨hal-01321536⟩

Share

Metrics

Record views

670

Files downloads

359