Abstract of Garry Odell's talk February 7 in MathBio Seminar / Genome 590
I will discuss two math/computer models that demonstrate how
simple mechanochemical interactions among the myriad protein parts of
phylogenetically universal cytoskeletal genetic networks yield emergent
dynamics that animates cells. These realistic models involve numerical
solution of tens to hundreds of thousands differential equations to resolve
newtonian force balance laws as tens of thousands of individual cytoskeletal
parts, undergoing brownian motion in 3-D space, wander freely and interact
with anything they bump into by exchanging appropriate forces. These are
large computations that we run on a linux cluster. One example models the
phenomenon of pronuclear fusion and centration in C. elegans embryos. In
experiments, knocking out cytoplasmic dynein/dynactin causes these phenomena
to fail. I am therefore attempting an in silico reconstitution of these
phenomena involving a minimal parts list: nuclei, centrosomes, microtubules,
the cell's cortex, and a single molecular motor: dynein/dynactin and the
effects of CLIP170 on microtubule catastrophe rates. Computer-animated
movies show the lifelike behavior that emerges from the molecular
interactions, and these turn out, mysteriously, to include realistic
pronuclear fusion, rotation, and centration. Indeed, the behavior this model
exhibits is so complex that it is challenging to figure out why it works.