Feedback Controls in Biological Spatial Dynamics

Wing Cheong (Jon) Lo
Mathematical Biosciences Institute, The Ohio State University

(January 23, 2014 10:20 AM - 11:15 AM)

Feedback Controls in Biological Spatial Dynamics

Abstract

Feedback control is important for biological systems which are both relatively insensitive to stochastic fluctuation of their parameters and able to adapt to changes in their environment. However, how feedback control enhances the robustness in spatial dynamics is still unclear. In this talk, I will discuss several spatial models arising from the studies of cell polarization, tissue patterning and stem cell lineage. Our mathematical and computational results show that feedback control can achieve robust cell polarization and tissue patterning against different stochastic effects; feedback control on the stem cell cycle is necessary for forming temporary "stem cell niche" that forms an important part of tissue stratification. All our findings are consistent with the experimental results our collaborators have observed and provide a stepping-stone for making new hypotheses in biology.