Mathematical modelling and analysis of tumour growth, evolution and therapy

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Guest Editors
Dr. Jean Clairambault
Inria & Sorbonne Université, Paris, France

Dr. Tomás Alarcón
Universidad Autónoma de Barcelona, Spain

Dr. Juan Carlos Chimal Eguía
Instituto Politécnico Nacional, Ciudad de, Mexico

Dr. Nikolaos Sfakianakis
University of St Andrews, Scotland

Manuscript Topics
This special issue will recapitulate topics of a BIRS-CMO workshop in Oaxaca, Mexico, Nov 25-30, 2018

In the past five years or so, cancer modelling has been approached by innovative mathematical methods of continuous dynamical systems, structured in spatial and in phenotypical variables, representing heterogeneous populations of cells. Stimulated by unexpected failures of medical treatments (in particular due to drug-induced drug resistance) that most often consider targets at the single cell level, these recent methods take tumour dynamics at the cell population level into account, which is the most relevant level to tackle questions about tumour growth. Such models of tumour dynamics address problems arising from intra-tumour spatial and phenotypical heterogeneity, from tumour-stroma symbiosis and from evolutionary mechanisms used by the tumour cell population to escape therapeutic control.
These models take the form of systems of non-linear and non-local partial differential equations (PDEs) and the asymptotic analysis of such models raises numerous mathematical questions. Some of these questions have been solved and theorems have been obtained in simplified settings, leaving however many other questions open. Furthermore, methods of optimisation and optimal control applied to continuous models of cel populations with targets representing pharmacological or radiological effects on healthy and tumour proliferation are also under development.
The objectives of this special issue are thus to confront new methods of mathematical modelling and optimal control with the most recent conceptions about evolution and cancer, to design new theoretical therapeutic strategies, aiming at reducing cancer to a mild, chronic disease.

The focus areas of the special issue are those of the BIRS-CMO workshop (18w5115), namely

• Non-local models for cancer evolution
• Phenotypical and spatial heterogeneity
• Therapeutics of cancer
• Cancer as atavism: an innovative perspective on cancer
• Philosophy of science viewpoint

Paper Submission
All manuscripts will be peer-reviewed before their acceptance for publication.
The deadline for manuscript submission is September 30, 2020.

Instructions for authors
Please submit your manuscript to online submission system

Tingzhe Sun, Dan Mu
+ Abstract     + HTML     + PDF(1208 KB)
Hongli Yang, Jinzhi Lei
+ Abstract     + HTML     + PDF(752 KB)
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