A simple 1D model of crawling nematode sperm cell. Journal of Statistical Physics March 2003
The geometry and motion of nematode sperm cells.
Current research is aimed at dissecting the complex processes of how cells move across surfaces into simpler phenomena that can be more easily analyzed. Phenomenological models, based on conservation laws, have been formulated and solved numerically and analytically.
Activity-dependent synapse restructuring. Bulletin of Mathematical Biology June 2004.
Calcium mediated spine stem restructuring. J. Math and Computer Modeling 2005.
Activity-dependent dendritic spine branching. Accepted Jan 2009, Bulletin of Mathematical Biology.
Current research is aimed at dissecting the relationship between electrical/chemical activity and structure in hippocampal dendritic arbors. Experimenters draw diagrammatic models to try to explain the dynamics of slow structural change and rapid changes in activity. We formulate mathematical descriptions for these models.