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Accelerated Search Kinetics Mediated by Redox Reactions of DNA Repair Enzymes
Authors:Pak-Wing Fok  Tom Chou
Institution: Applied and Computational Mathematics, California Institute of Technology, Pasadena, California
Departments of Biomathematics, University of California, Los Angeles, California
§ Department of Mathematics, University of California, Los Angeles, California
Abstract:A charge transport (CT) mechanism has been proposed in several articles to explain the localization of base excision repair (BER) enzymes to lesions on DNA. The CT mechanism relies on redox reactions of iron-sulfur cofactors that modify the enzyme's binding affinity. These redox reactions are mediated by the DNA strand and involve the exchange of electrons between BER enzymes along DNA. We propose a mathematical model that incorporates enzyme binding/unbinding, electron transport, and enzyme diffusion along DNA. Analysis of our model within a range of parameter values suggests that the redox reactions can increase desorption of BER enzymes not already bound to lesions, allowing the enzymes to be recycled—thus accelerating the overall search process. This acceleration mechanism is most effective when enzyme copy numbers and enzyme diffusivity along the DNA are small. Under such conditions, we find that CT BER enzymes find their targets more quickly than simple passive enzymes that simply attach to the DNA without desorbing.
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