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Séminaire du LJLL - 30 06 2017 14h00 : Y. Lorenzi
Tommaso Lorenzi (Université de St Andrews)
A partial differential equation approach to studying evolutionary dynamics in cancer cell populations
Résumé
A growing body of evidence supports the idea that solid tumours are complex ecosystems populated by cells with heterogeneous phenotypes, whose dynamics can be described in terms of evolutionary and ecological principles. Under this perspective, it has become increasingly recognised that mathematical modelling can complement experimental cancer research by offering alternative means of interpreting experimental data and by enabling extrapolation beyond empirical observation. This talk deals with mathematical models formulated in terms of partial differential equations which can be used to study evolutionary dynamics in cancer cell populations. In particular, I will present a number of results which illustrate how qualitative analysis and numerical simulation of these equations can help to uncover fresh insights into the critical mechanisms underpinning cancer progression and the emergence of resistance to cytotoxic therapy.