# Continuous Time Random Walk and Migration Proliferation Dichotomy

Source: [Continuous Time Random Walk and Migration Proliferation Dichotomy](<https://www.sota2.com/research/paper/68fa33331e209131ce88e449>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T03:39:49.347Z

Authors: A. Iomin

Published: 2015-04-03T11:37:35.000Z

## Abstract

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 $\\frD\<3$.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1504.00817>)

[PDF](<https://arxiv.org/pdf/1504.00817.pdf>)