Modelling physiological and pharmacological control on cell proliferation to optimise cancer treatments
J Clairambault - Mathematical Modelling of Natural Phenomena, 2009 - cambridge.org
This review aims at presenting a synoptic, if not exhaustive, point of view on some of the
problems encountered by biologists and physicians who deal with natural cell proliferation …
problems encountered by biologists and physicians who deal with natural cell proliferation …
Designing proliferating cell population models with functional targets for control by anti-cancer drugs
F Billy, J Clairambault - … and Continuous Dynamical Systems-Series B, 2013 - hal.science
We review the main types of mathematical models that have been designed to represent
and predict the evolution of a cell population under the action of anti-cancer drugs that are in …
and predict the evolution of a cell population under the action of anti-cancer drugs that are in …
A survey of adaptive cell population dynamics models of emergence of drug resistance in cancer, and open questions about evolution and cancer
J Clairambault, C Pouchol - Biomath, 2019 - inria.hal.science
This article is a proceeding survey (deepening a talk given by the first author at the BioMath
2019 International Conference on Mathematical Models and Methods, held in Będlewo …
2019 International Conference on Mathematical Models and Methods, held in Będlewo …
Optimizing cancer pharmacotherapeutics using mathematical modeling and a systems biology approach
J Clairambault - Personalized Medicine, 2011 - Taylor & Francis
Research in mathematics and in mathematical biology on cancer and its treatments has
been soaring in the past 10 years at an unprecedented speed. Such thriving is likely due as …
been soaring in the past 10 years at an unprecedented speed. Such thriving is likely due as …
Mathematical modeling as a tool for planning anticancer therapy
A Swierniak, M Kimmel, J Smieja - European journal of pharmacology, 2009 - Elsevier
We review a large volume of literature concerning mathematical models of cancer therapy,
oriented towards optimization of treatment protocols. The review, although partly …
oriented towards optimization of treatment protocols. The review, although partly …
Improving cancer treatments via dynamical biophysical models
Despite significant advances in oncological research, cancer nowadays remains one of the
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …
Optimisation of cancer drug treatments using cell population dynamics
F Billy, J Clairambault, O Fercoq - Mathematical Methods and Models in …, 2012 - Springer
Cancer is primarily a disease of the physiological control on cell population proliferation.
Tissue proliferation relies on the cell division cycle: one cell becomes two after a sequence …
Tissue proliferation relies on the cell division cycle: one cell becomes two after a sequence …
On the foundations of cancer modelling: selected topics, speculations, and perspectives
This paper presents a critical review of selected topics related to the modelling of cancer
onset, evolution and growth, with the aim of illustrating, to a wide applied mathematical …
onset, evolution and growth, with the aim of illustrating, to a wide applied mathematical …
Chemotherapy may be delivered based on an integrated view of tumour dynamics
The aim here was to explore the potential of pharmacokinetic (PK)/pharmacodynamic (PD)
and physiopathological parameters in explaining the primary effects of an anti-cancer …
and physiopathological parameters in explaining the primary effects of an anti-cancer …
Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model
L Almeida, P Bagnerini, G Fabrini… - ESAIM: Mathematical …, 2019 - esaim-m2an.org
We consider a phenotype-structured model of evolutionary dynamics in a population of
cancer cells exposed to the action of a cytotoxic drug. The model consists of a nonlocal …
cancer cells exposed to the action of a cytotoxic drug. The model consists of a nonlocal …