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arxiv: 1504.00817 · v1 · pith:SZXXR6DEnew · submitted 2015-04-03 · 🧬 q-bio.CB · cond-mat.soft

Continuous Time Random Walk and Migration Proliferation Dichotomy

classification 🧬 q-bio.CB cond-mat.soft
keywords cancerdichotomycontinuousfractalfractionalmigration-proliferationmodelouter-invasive
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A theory of fractional kinetics of glial cancer cells is presented. A role of the migration-proliferation dichotomy in the fractional cancer cell dynamics in the outer-invasive zone is discussed an explained in the framework of a continuous time random walk. The main suggested model is based on a construction of a 3D comb model, where the migration-proliferation dichotomy becomes naturally apparent and the outer-invasive zone of glioma cancer is considered as a fractal composite with a fractal dimension $\frD<3$.

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