Evolutionary Dynamics of Tumorigenesis: An Application of Dynamical Systems, M.Sc. Thesis Sharif University of Technology ; Alishahi, Kasra (Supervisor) ; Razvan, Mohammad Reza (Co-Supervisor)
Abstract
Application of optimal control in cancer modeling is studied through both linear and nonlinear modeling of the dynamics in ordinary differential equations. At the outset, a fairly straight-forward analysis of a linear model in presented. Through comparably simple machinery, this seminal work published at early 2000s covers some of most important techniques previously developed. The model here is infinite- dimensional, taking different number of gene amplifications into account. Thereafter by surveying recently published papers, the literature is reviewed and different lines of progress is followed, culminating in detailed study of a specific approach which is theoretically of interest....
Cataloging briefEvolutionary Dynamics of Tumorigenesis: An Application of Dynamical Systems, M.Sc. Thesis Sharif University of Technology ; Alishahi, Kasra (Supervisor) ; Razvan, Mohammad Reza (Co-Supervisor)
Abstract
Application of optimal control in cancer modeling is studied through both linear and nonlinear modeling of the dynamics in ordinary differential equations. At the outset, a fairly straight-forward analysis of a linear model in presented. Through comparably simple machinery, this seminal work published at early 2000s covers some of most important techniques previously developed. The model here is infinite- dimensional, taking different number of gene amplifications into account. Thereafter by surveying recently published papers, the literature is reviewed and different lines of progress is followed, culminating in detailed study of a specific approach which is theoretically of interest....
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