walczak(at)physics.ucsd.edu
phone:
(858) 822 5528
Urey Hall
6230
La Jolla,
CA 92093-0371
I am graduate student, working with Professor Peter G. Wolynes, at the Department of Physics and Center for
Theoretical Biological Physics at the University of California,
San Diego.
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Currently, I am working on two types of complex systems: glasses and gene networks/switches.
My current research is related to studying the effects of the stochastic
nature of genetic networks. The relatively small numbers of protein molecules
of a given type present in the cell and the nonlinear nature of chemical
reactions result in emergent behaviours, which are not easily predicted. I am
interested in how noise on all levels of the regulatory system affects the
complex collective characteristics of systems observed experimentally.
I am also trying to understand the particular phases that arise in the stripe glass Hamiltonian model, which describes the interplay of competing interactions on short and long length scales. I am especially interested in the existence and dynamics of the glass phase. This system is an interesting example of self-generated randomness- no quenched disorder is needed to result in glassy behaviour.
In the future I would like to continue working on theoretically
understanding the collective behaviour that arises in both biological and
non-animate many body systems.
More specifically, I have been
trying to understand the role of DNA binding state fluctuations in the
regulation of genes. I have worked on constructing simple models and
approximations [2, 3, 4], which allow for, at least some, analytical progress
in these problems. These have allowed us to understand, on the example of toy
models, how the DNA binding state fluctuations influence the steady state
properties and lifetimes of attractors of simple gene systems. I have shown,
that for fast binding and unbinding from the DNA, the DNA binding state may be
taken to be in equilibrium for highly cooperative binding, when predicting
steady state properties. However, if proteins are produced in bursts, the DNA
binding state fluctuations must be taken into account explicitly, even in the
steady state [4]. Furthermore, even if the steady state probability
distributions are not influenced by the DNA binding state fluctuations, the
escape rate in biologically relevant regimes strongly depends on transcription
factor-DNA binding rates [2].
Canadian-American-Mexican
Graduate Student Conference (an APS meeting I co-organized)