| Name |
Jean Clairambault |
| Country |
France |
| Email |
jean.clairambault@inria.fr |
| Co-Author(s) |
Billy, F., Clairambault, J., Delaunay, F., Feillet, C., Fercoq, O., Gaubert, S., Lepoutre, T., Ouillon, T., Robert, N., Saito, S. |
| Submit Time |
2014-02-27 09:06:11 |
Session |
Special Session 25: Dynamics of chaotic and complex systems and applications
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| Contents |
| We present a McKendrick-like model of the division cycle in proliferating cell populations and we identify its parameters, using the fluorescence ubiquitination based cell cycle indicator (FUCCI) technology, on biological data recorded in two different conditions of a nutritive medium for NIH3T3 cells.
Furthermore, we show how theoretical periodic inputs allow cell populations to be more or less synchronised with respect to the phases of the division cycle. Possible consequences for coupling between circadian clocks and the cell division cycle, and for cancer therapeutics with drug delivery optimisation principles are also proposed.
References
[1] Billy, F., Clairambault, J., Fercoq, O., Gaubert, S., Lepoutre, T., Ouillon, T., Saito, S. Synchronisation and control of proliferation in cycling cell population models with age structure. Mathematics and Computers in Simulation, 96:66-94, 2014.
[2] Billy, F., Clairambault, J., Delaunay, F., Feillet, C., Robert, N. Age-structured cell population model to study the influence of growth factors on cell cycle dynamics. Mathematical Biosciences and Engineering, 10(1):1-17, 2013.
[3] Billy, F., Clairambault, J., Fercoq, O. Optimisation of cancer drug treatments using cell population dynamics. pp. 257-299 in "Mathematical Models and Methods in Biomedicine'', A. Friedman, E. Kashdan, U. Ledzewicz and H. Sch\"attler eds., Eds., Part 4, pp. 265-309, Springer, New-York, 2013. |
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