FROM THE MODELING OF THE IMMUNE HALLMARKS OF CANCER TO A BLACK SWAN IN BIOLOGY

BELLOUQUID ABDELGHANI; DE ANGELIS ELENA; KNOPOFF DAMIAN

MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES

WORLD SCIENTIFIC PUBL CO PTE LTD

Año: 2013 vol. 23 p. 949 - 978

0218-2025

This paper deals with the modeling of the early stage of cancer phenomena, namely mutations, onset, progression of cancer cells, andtheir 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.