Control and the analysis of cancer growth models Journal Article
| Authors: | Tannenbaum, A.; Georgiou, T. T.; Deasy, J. O.; Norton, L. |
| Article Title: | Control and the analysis of cancer growth models |
| Abstract: | 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. © Springer Nature Switzerland AG 2019. |
| Keywords: | cancer growth models; linear-quadratic control; lotka–voltera equations |
| Journal Title: | Operator Theory: Advances and Applications |
| Volume: | 272 |
| ISSN: | 0255-0156 |
| Publisher: | Springer Nature |
| Date Published: | 2019-01-01 |
| Start Page: | 343 |
| End Page: | 353 |
| Language: | English |
| DOI: | 10.1007/978-3-030-11614-9_14 |
| PROVIDER: | scopus |
| DOI/URL: | |
| Notes: | Book Chapter in Interpolation and Realization Theory with Applications to Control Theory, Bolotnikov V, ter Horst S, Ran ACM, Vinnikov V, eds. (ISBN: 978-3-030-11613-2) -- Export Date: 3 June 2019 -- Source: Scopus |
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