Control and the Analysis of Cancer Growth Models
We analyze two dynamical models of cancer growth from a systemtheoretic point of view. The first model is based upon stochastic controlled versions of the classical Lotka–Volterra equations. Here we investigate from a controls point of view the utility of employing ultrahigh dose flashes in radiotherapy. The second is based on the Norton–Simon–Massagué growth model that takes into account the heterogeneity of a tumor cell population. We indicate an optimal strategy based on linear quadratic control applied to a linear transformed model. The models and analysis are very preliminary and only give an indication of possible therapies in the treatment of cancer.
KeywordsCancer growth models Lotka–Voltera equations linear-quadratic control
Mathematics Subject Classification (2010)Primary 37N25 Secondary 37N25
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