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A hybrid discrete-continuum modelling approach to explore the impact of T-cell infiltration on anti-tumour immune response

Luis Almeida 1, 2 Chloe Audebert 1, 3 Emma Leschiera 1, 2 Tommaso Lorenzi 4 
2 MAMBA - Modelling and Analysis for Medical and Biological Applications
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
3 LCQB-MMB - Mathematical Modeling in Biology [LCQB]
LCQB - Biologie Computationnelle et Quantitative = Laboratory of Computational and Quantitative Biology
Abstract : We present a spatial hybrid discrete-continuum modelling framework for the interaction dynamics between tumour cells and cytotoxic T cells, which play a pivotal role in the immune response against tumours. In this framework, a stochastic individual-based model for the dynamics of tumour cells and T cells is coupled with a balance equation for the concentration of chemokines that drive the chemotactic movement of T cells towards the tumour. We formally derive the deterministic continuum counterpart of this model, which is given by a coupled system that comprises an integro-differential equation for the density of tumour cells, a partial differential equation for the density of T cells, and a partial differential equation for the concentration of chemokines. We report on computational results of the hybrid model and show that there is an excellent quantitative agreement between them and numerical solutions of the corresponding continuum model. These results shed light on the mechanisms that underlie the emergence of different levels of infiltration of T cells into the tumour and elucidate how T-cell infiltration shapes anti-tumour immune response. Moreover, exploiting the computational efficiency of the continuum model, we carry out extensive numerical simulations to investigate the impact of T-cell infiltration on the response of tumour cells to different types of anti-cancer immunotherapy.
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https://hal.archives-ouvertes.fr/hal-03722100
Contributor : Emma Leschiera Connect in order to contact the contributor
Submitted on : Monday, July 18, 2022 - 10:46:30 AM
Last modification on : Thursday, September 1, 2022 - 3:56:36 AM

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  • HAL Id : hal-03722100, version 1
  • ARXIV : 2207.09110

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Luis Almeida, Chloe Audebert, Emma Leschiera, Tommaso Lorenzi. A hybrid discrete-continuum modelling approach to explore the impact of T-cell infiltration on anti-tumour immune response. 2022. ⟨hal-03722100⟩

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