Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 23, Issue 5, Pages 949-978Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202512500650
Keywords
Statistical dynamics; active particles; stochastic games; evolution; mutations; system biology; multicellular systems
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Funding
- Hassan II Academy of Sciences and Technology (Morocco)
- European Union [FP7-HEALTH-F4-2008-202047-RESOLVE]
- European Commission
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This paper deals with the modeling of the early stage of cancer phenomena, namely mutations, onset, progression of cancer cells, and their competition with the immune system. The mathematical approach is based on the kinetic theory of active particles developed to describe the dynamics of large systems of interacting cells, called active particles. Their microscopic state is modeled by a scalar variable which expresses the main biological function. The modeling focuses on an interpretation of the immune-hallmarks of cancer.
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