Math. Model. Nat. Phenom.
Volume 7, Number 1, 2012Cancer modeling
|Page(s)||306 - 336|
|Published online||25 January 2012|
Modeling the Impact of Anticancer Agents on Metastatic Spreading
CMI-LATP, UMR 6632, Université de Provence,
39, rue F.
Marseille cedex 13,
2 Laboratoire de Toxicocinétique et Pharmacocinétique UMR INSERM 911, CRO2 27, boulevard Jean Moulin, 13005 Marseille, France
3 Service d’Hématologie et Oncologie Pédiatrique, Hôpital pour enfants de La Timone Marseille, France
4 Metronomics Global Health Initiative
Corresponding author. E-mail: firstname.lastname@example.org
Treating cancer patients with metastatic disease remains an ultimate challenge in clinical oncology. Because invasive cancer precludes or limits the use of surgery, metastatic setting is often associated with (poor) survival, rather than sustained remission, in patients with common cancers like lung, digestive or breast carcinomas. Mathematical modeling may help us better identify non detectable metastatic status to in turn optimize treatment for patients with metastatic disease. In this paper we present a family of models for the metastatic growth. They are based on four principles : to be as simple as possible, involving the least possible number of parameters, the main informations are obtained from the primary tumor and being able to recover the variety of phenomena observed by the clinicians. Several simulations of therapeutic strategies are presented illustrating possible applications of modeling to the clinic.
Mathematics Subject Classification: 35F16 / 92C50
Key words: modeling / metastases / anti-angiogenic therapy / metronomic chemotherapy
© EDP Sciences, 2012
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