no code implementations • 25 Sep 2023 • Yaron Ben-Ami, Joe M. Pitt-Francis, Philip K. Maini, Helen M. Byrne
Using velocity-space averaging, we reformulate the model as a system of continuum equations for the spatio-temporal evolution of the cell volume fraction and flux, in response to forcing terms which depend on the local direction and magnitude of the mechanochemical cues.
1 code implementation • 26 Feb 2022 • Yaron Ben-Ami, George W. Atkinson, Joe M. Pitt-Francis, Philip K. Maini, Helen M. Byrne
We analyse mathematical models in order to understand how microstructural features of vascular networks may affect blood-flow dynamics, and to identify particular characteristics that promote the onset of self-sustained oscillations.