28 citations · 105 across the 6 of their papers we have counts for
7 papers
Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy
Camille Pouchol, Jean Clairambault, Alexander Lorz +1
We consider a system of two coupled integro-differential equations modelling populations of healthy and cancer cells under therapy. Both populations are structured by a phenotypic…
Effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors
Alexander Lorz, Tommaso Lorenzi, Jean Clairambault +2
Histopathological evidence supports the idea that the emergence of phenotypic heterogeneity and resistance to cytotoxic drugs can be considered as a process of adaptation, or evolu…
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies
Alexander Lorz, Tommaso Lorenzi, Michael E. Hochberg +2
Resistance to chemotherapies, particularly to anticancer treatments, is an increasing medical concern. Among the many mechanisms at work in cancers, one of the most important is th…
Circadian rhythm and cell population growth
Jean Clairambault, Stephane Gaubert, Thomas Lepoutre
Molecular circadian clocks, that are found in all nucleated cells of mammals, are known to dictate rhythms of approximately 24 hours (circa diem) to many physiological processes. T…
Modelling the spatial organization of cell proliferation in the developing central nervous system
Jean Clairambault, Vladimir Flores, Benoit Perthame +3
How far is neuroepithelial cell proliferation in the developing central nervous system a deterministic process? Or, to put it in a more precise way, how accurately can it be descri…
Comparison of Perron and Floquet eigenvalues in age structured cell division cycle models
Jean Clairambault, Stéphane Gaubert, Thomas Lepoutre
We study the growth rate of a cell population that follows an age-structured PDE with time-periodic coefficients. Our motivation comes from the comparison between experimental tumo…