Optimisation of cancer drug treatments using cell population dynamics

Frédérique Billy (1, 2) , Jean Clairambault (1, 2) , Olivier Fercoq (3)

1 LJLL - Laboratoire Jacques-Louis Lions
2 BANG - Nonlinear Analysis for Biology and Geophysical flows
3 MAXPLUS - Max-plus algebras and mathematics of decision

Cancer is primarily a disease of the physiological control on cell population proliferation. Tissue proliferation relies on the cell division cycle: one cell becomes two after a sequence of molecular events that are physiologically controlled at each step of the cycle at so-called checkpoints, in particular at transitions between phases of the cycle [105]. Tissue proliferation is the main physiological process occurring in development and later in maintaining the permanence of the organism in adults, at that late stage mainly in fast renewing tissues such as bone marrow, gut and skin.

Mots clés: Cell population dynamics; Proliferation; Cell division cycle; Therapeutic optimisation.; Cancer drugs; Therapeutic optimisation

Domaines: Equations aux dérivées partielles [math.AP]; Optimisation et contrôle [math.OC]; Bio-informatique [q-bio.QM]; Bio-Informatique, Biologie Systémique [q-bio.QM]; Cancer

Frédérique Billy, Jean Clairambault, Olivier Fercoq. Optimisation of cancer drug treatments using cell population dynamics. Urszula Ledzewicz and Heinz Schättler and Avner Friedman and Eugene Kashdan. Mathematical Methods and Models in Biomedicine, Springer New York, pp.265, 2013, Lecture Notes on Mathematical Modelling in the Life Sciences, 978-1-4614-4178-6. ⟨10.1007/978-1-4614-4178-6_10⟩. ⟨hal-00770366⟩