Abstract: Chemotaxis is understood as the biological process of the movement of living organisms in response to a chemical stimulus which can be given towards a higher (attractive) or lower (repulsive) concentration of a chemical substance. At the same time, the presence of living organisms can produce or consume chemical substance.
We have studied the existence of solution of such systems, and design numerical schemes that reproduce their main properties.
Researchers: Francisco Guillén González María Ángeles Rodríguez Bellido Diego Armando Rueda Gómez
Partners: Universidad de Sevilla, Universidad Industrial de Santander- Colombia
Related project: PDEs for Biological models with Chemotaxis and Nonlocal effects (PGC2018-098308-B-I00)
Diffusion, Reaction and Phase Field Problems Applied to Models of Living Organisms (MTM2015-69875-P)
iMAT research line: RL2. Modeling of Biological Systems & Health
More information:
https://doi.org/10.1090/mcom/3418
https://doi.org/10.1016/j.camwa.2020.04.009
https://doi.org/10.1016/j.camwa.2020.04.010