We use mathematical, computational and theoretical biophysical modeling of cell biological phenomena to understand how subcellular machines work. Our approaches and modeling philosophy are described in this review:
A. Mogilner, R. Wollman, W. Marshall, Quantitative Modeling in Cell Biology: What Is It Good for? Dev. Cell , 11, 279-287 (2006)
preprint in pdf format

A few active projects are on self-assembly of mitotic spindle ('Search-and-Capture' and chromosomal pathway of assembly) and its mechanics. Read about mitosis and its modeling in:
J. M. Scholey, I. Brust-Mascher, A. Mogilner, Cell division, Nature , 422 , 746-752 (2003).
preprint in pdf format

A. Mogilner, R. Wollman, G. Civelekoglu-Scholey, J. Scholey, Modeling Mitosis. Trends Cell Biol., 16, 88-96 (2006)
preprint in pdf format

Other projects deal with modeling actin-based protrusion and symmetry break in actin systems:
A. Mogilner, G. Oster, Polymer Motors: Pushing out the Front and Pulling up the Back. Curr. Biol., 13 , R721-R733 (2003)
preprint in pdf format

A. Mogilner, On the Edge: Modeling Protrusion. Cur. Opin. Cell Biol., 18, 32-39 (2006)
preprint in pdf format

Yet other projects are on motile cell shape, actin-myosin dynamics, mechanochemical regulation of the motile cell, adhesion dynamics and other cell motility issues:
A. Mogilner, Mathematics of Cell Motility: Have We Got Its Number?
preprint in pdf format
Another review about the recent research in cell motility preprint in pdf format

Finally, we are very interested in actin-myosin and microtubule-kinesin/dynein sliding and its involvement in cell behavior.