Ryszard Rudnicki (Institute of Mathematics, Polish Academy of Sciences)
Models of population dynamics and their applications in genetics. See schedule of the course. |
Abstract: To familiarize phd-students with principles of modelling. Presentation of models of population dynamics with emphasis on applications in genetics. Introduction of some mathematical methods to study models. References: 1. Ryszard R. Rudnicki, Dynamika populacyjna. 2. F. Brauer i C. Castillo-Chavez, Mathematical Models in Population Biology and Epidemiology, Texts in appl. Math. 40, Springer, New York, 2001. 3. F.M. Scudo i J.R. Ziegler (eds.), The Golden Age of Theoretical Ecology: 1923 - 1940, Lecture Notes in Biomathematics, 22, Berlin-Heidelberg-New York, Springer-Verlag, 1978. 4 H. R. Thieme, Mathematics in Population Biology, Princeton University Press, Princeton and Oxford, 2003. 5. J.D. Murray, Wprowadzenie do biomatematyki, PWN, Warszawa 2006. 6. M. Farkas, Dynamical models in biology, Academic Press, Inc., San Diego 2001. 7. G.F. Webb, Theory of Nonlinear Age-Dependent Population Dynamics, Marcel Dekker, 1985. 8. R. Rudnicki (eds.), Mathematical Modelling of Population Dynamics, Banach Center Publication, Vol. 63, Warszawa 2004. 9. R. Rudnicki, J. Tiuryn and D. Wójtowicz, A model for the evolution of paralog families in genomes, J. Math. Biology 53 (2006), 759-770. |