| Research
Interests
Professor
Jones' research interests lie in the areas of statistical, mathematical
and biological physics.
Recent
research has concerned modeling cell movements in embryonic development.
The gastrulation stage of embryonic development of many vertebrates
is characterized by much cellular rearrangement resulting in the
creation of axial structures. “Convergent extension” is a common
and experimentally well studied type of such rearrangement. Our
highly simplified modeling suggests that convergent extension can
be understood by the same kind of energy arguments as used by Steinberg
in the cell sorting process, provided that one assumes that cell-cell
adhesion has a certain type of anisotropic property.
The
process of convergent extension has been simulated using a Monte-Carlo
driven Pott's model suggested by those used in successful cell-sorting
simulations. The energy function for the system has several novel
features. The required anisotropy of the cell-cell adhesion makes
the simulation non-local on the scale of the cell size with an attendant
increase in program complexity and CPU time. Our simulations are
in good agreement with experiments on amphibian embryos.
Selected Publications
“Model
of Convergent Extension in Animal Morphogenesis,” Mark Zajac, Gerald
L. Jones, and James A. Glazier, Phys. Rev. Lett. 85, 2022 (2000).
“Simulating convergent extension
by way of anisotropic differential adhesion,” Mark Zajac, Gerald L.
Jones, and James A. Glazier, Journal of Theoretical Biology 222/2,
247 (2003).
Full Curriculum vitae (pdf)
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