A stochastic model for cytotoxic T. Lymphocyte interaction with tumor nodules

Cattiaux, Patrick, Christophe, Claire and Gadat, Sébastien (2016) A stochastic model for cytotoxic T. Lymphocyte interaction with tumor nodules. TSE Working Paper, n. 16-711

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Official URL: http://tse-fr.eu/pub/31103

Abstract

CTL (Cytotoxic T. Lymphocytes) destroy virally infected cells and tumor cells via the secretion of lytic molecules stored in intracellular granules. They are key components of the anti-cancer immune response and it is therefore crucial to study in depth, and possibly enhance, their biological responses against tumors. In [CMR+15], we introduced a stochastic dynamical model that involves interacting particles based on experimentally measured parameters. It therefore makes it possible to describe CTL function during immuno-editing. At the same time, we showed on simulations that a bias in CTL motility inducing a progressive attraction towards a few scout CTL, which have detected the nodule, enhances early productive collisions and drastically improves the tumor eradication rate. In the present paper, we introduce a continuous time similar model and derive rigorously formulas for the evolution of the system CTL/Nodule. Numerical schemes then confirm the quantitative role of the bias in the CTL movement induced by scout CTL, and open new perspectives on chemotaxis for immunotherapy.

Item Type: Monograph (Working Paper)
Language: English
Date: October 2016
Uncontrolled Keywords: self-interacting diffusion processes, hitting time, chemotaxis
Subjects: B- ECONOMIE ET FINANCE
Divisions: TSE-R (Toulouse)
Institution: Universite Toulouse 1 Capitole
Site: UT1
Date Deposited: 19 Oct 2016 07:25
Last Modified: 07 Mar 2018 13:24
OAI ID: oai:tse-fr.eu:31103
URI: http://publications.ut-capitole.fr/id/eprint/22439

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