Improving cancer treatments via dynamical biophysical models

M Kuznetsov, J Clairambault, V Volpert - Physics of life reviews, 2021 - Elsevier
Despite significant advances in oncological research, cancer nowadays remains one of the
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …

Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits

FE Alvarez, JA Carrillo, J Clairambault - Journal of Mathematical Biology, 2022 - Springer
Confronted with the biological problem of managing plasticity in cell populations, which is in
particular responsible for transient and reversible drug resistance in cancer, we propose a …

[HTML][HTML] Agent-Based Model for Studying the Effects of Solid Stress and Nutrient Supply on Tumor Growth

M Kuznetsov, A Kolobov - Mathematics, 2023 - mdpi.com
An off-lattice agent-based model of tumor growth is presented, which describes a tumor as a
network of proliferating cells, whose dynamics depend on the stress generated by …

Plasticity in cancer cell populations: biology, mathematics and philosophy of cancer

J Clairambault - … : Second International Symposium, ISMCO 2020, San …, 2020 - Springer
In this presentation that partly subsumes and summarises in the form of adapted excerpts
some recent articles of which I am author or co-author [2, 3, 11], I suggest that cancer is …

[PDF][PDF] Diffusion dans les modeles d'agregation et de cancer

FE ALVAREZ - 2023 - who.rocq.inria.fr
Résumé Cette these est consacréea l'étude de plusieurs problemes issus de la
modélisation mathématique des tumeurs. Plus spécifiquement, l'intérêt principal est orienté …

Mathematical study of Peierls instability in the discrete polyacetylene model

FA Borges - 2023 - theses.hal.science
This thesis is devoted to the study of several problems arising from the mathematical
modelling of tumours. More specifically, the main interest is oriented towards the interactions …