Mathematical Biology Seminar
Pak-Wing Fok, Caltech
Wednesday Feb. 18, 2008
3:05pm in LCB 215 Acceleration of DNA repair by
charge transport: stochastic
analysis and deterministic models.
Abstract:
A Charge Transport (CT) mechanism has been proposed in several papers
(for example see Yavin et al. PNAS 102 3546 (2005)) to explain the
colocalization of Base Excision Repair enzymes to lesions on DNA. The
CT mechanism relies on redox reactions of iron-sulfur cofactors on the
enzyme. Electrons are released by recently adsorbed enzymes and travel
along the DNA. The electrons can scatter back to the enzyme to
destabilize it and knock it off the strand, or they can be absorbed by
nearby lesions and guanine radicals.
A stochastic description for the electron dynamics in a discrete model
of CT-mediated enzyme kinetics will be presented. By calculating the
enzyme adsorption/desorption probabilities, an implicit electron Monte
Carlo scheme can be used to simulate the build-up of enzyme density
along a DNA strand. Then, a Partial Differential Equation (PDE) model
for CT-mediated enzyme binding, desorption and redistribution will be
studied. The model incorporates the effect of finite enzyme copy
number, enzyme diffusion along DNA and a mean field description of
electron dynamics. By computing the flux of enzymes into a lesion, the
search time for an enzyme to find a lesion can be estimated. The
results show that the CT mechanism can significantly accelerate the
search of repair enzymes.
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