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Structured Models and Their Use in Modeling Anticancer Therapies

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System Engineering Approach to Planning Anticancer Therapies

Abstract

Tumorigenesis is a very complex pathological process, evolving through different parallel pathways. The list of hallmark capabilities which cancer has to acquire was presented in two famous review papers by Hanahan and Weinberg (Cell 100:57–70, 2000; Cell 144:646–674, 2011). Following recent biological discoveries, especially those in molecular biology, mathematicians try to create models adequate to knowledge in the biomedical field, oriented on specific aspects of tumor development. They apply various modeling techniques in order to perform this task. Among these techniques one can distinguish models based on partial differential equations, single-cell-based models, cellular automata, and others. This chapter is devoted to models with structure. Structure may have different meanings, it may refer to the space where cells develop, cellular level of differentiation, or some other physiological feature of the cell, it may also refer to mutual relations among the elements forming the whole system, as it is in agent-based models.

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  1. Institute of Automatic Control, Silesian University of Technology, Gliwice, Poland

    Andrzej Świerniak, Marek Kimmel, Jaroslaw Smieja, Krzysztof Puszynski & Krzysztof Psiuk-Maksymowicz

  2. Rice University, Houston, TX, USA

    Marek Kimmel

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Świerniak, A., Kimmel, M., Smieja, J., Puszynski, K., Psiuk-Maksymowicz, K. (2016). Structured Models and Their Use in Modeling Anticancer Therapies. In: System Engineering Approach to Planning Anticancer Therapies. Springer, Cham. https://doi.org/10.1007/978-3-319-28095-0_4

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