Dynamics of Motile Populations in Heterogeneous Environments
Youness Azimzade

TL;DR
This paper models how movement behavior and environmental heterogeneity influence population dynamics, especially in cancer, metastasis, and immune response, using an extended Kolmogorov equation and biased random walk simulations.
Contribution
It introduces a novel extended Kolmogorov model incorporating movement and heterogeneity, applied to tumor growth, metastasis, and immune interactions.
Findings
Tumor heterogeneity is regulated by cell communication and tissue structure.
Metastasis success depends on niche structure and cell interactions.
Heterogeneous tissue impairs immune surveillance effectiveness.
Abstract
Movement behavior of biological entities plays a crucial role in their destiny through regulating their intraspecific and interspecific interactions as well as their interaction with surrounding environment. In spite of various models for population dynamics, the effect of movement behavior and heterogeneity of environment on population dynamics has remained poorly understood. We introduced an extended version of Kolmogorov equation which captures movement behavior and translated our model to a biased random walk on percolation lattice. Then we explored the effect of mentioned topic on population dynamics, especially for intratumor heterogeneity, metastasis and immune surveillance. In the case of tumor, our result reveals that communication between cell colons and the structure of host tissue together regulate the intratumor heterogeneity. For metastasis, our model predicts that the…
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Taxonomy
TopicsMathematical Biology Tumor Growth · Mathematical and Theoretical Epidemiology and Ecology Models · Evolution and Genetic Dynamics
