Math. Model. Nat. Phenom.
Volume 12, Number 6, 2017Special Issue - Nonlocal and delay equations
|Page(s)||171 - 191|
|Published online||30 December 2017|
On a population dynamic model of active cells with direct interaction
UMR CNRS 5251 IMB, Université de Bordeaux,
* e-mail: Ahmed.firstname.lastname@example.org
Accepted: 13 November 2017
Through two case studies, this paper deals with a new class of population dynamic models inspired from the kinetic theory for active particles modelling cell to cell interactions with a transfer processes between cells. The first case study problem is related to the transfer of proteins motivated by advantages of cell transfer therapies for the treatment of cancers. The second case concerns the activity transfer between immune and tumor cells. We provide some numerical tests and we prove the convergence of the solutions from the discrete model to the continuous model.
Mathematics Subject Classification: 35Q53 / 34B20 / 35G31
Key words: Cell-to-cell interaction / structured population dynamic / Boltzmann like-type models / kinetic theory of active particles / numerical analysis
© EDP Sciences, 2017
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