A Random Walk Approach to Transport in Tissues and Complex Media: From Microscale Descriptions to Macroscale Models

Special Collection: Celebrating J.D. Murray’s Contributions to Mathematical Biology

“…How to link processes across different scales is now a major change in the field of mathematical biology. Stotsky et al (2021) use multiscale continuous time random walks and generalised master equations to go from the microscale to the macroscale in the context of transport processes in tissues. It is shown, using signalling in the Drosophila wing disc as a case study, how the framework developed can be employed to directly link experimentally observable macroscale properties, such as transport coefficients, to the detailed underlying microscale level tissue properties.…”