Summary
A simple mathematical model is proposed to study the influence of cell fission on transport. The model describes fractional tumor development, which is a one-dimensional continuous time random walk (CTRW). An answer to the question of how the malignant neoplasm cells appear at an arbitrary distance from the primary tumor is proposed. The model is a possible consideration for diffusive cancers as well. A chemotherapy influence on the CTRW is studied by an observation of stationary solutions.
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Iomin, A. (2007). Fractional Transport of Cancer Cells Due to Self-Entrapment by Fission. In: Deutsch, A., Brusch, L., Byrne, H., Vries, G.d., Herzel, H. (eds) Mathematical Modeling of Biological Systems, Volume I. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4558-8_17
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DOI: https://doi.org/10.1007/978-0-8176-4558-8_17
Publisher Name: Birkhäuser Boston
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