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Abstract: We develop an general formalism of single enzyme kinetics in two dimensionwhere substrates diffuse stochastically on a square lattice in presence ofdisorder. The dynamics of the model could be decoupled effectively to twostochastic processes, a the substrate arrives at the enzyme site in intervalswhich fluctuates in time and b the enzymatic reaction takes place at thatsite stochastically.We argue that distribution of arrival time is a two parameter functionspecified by the substrate and the disorder densities, and that it correctlyreproduce the distribution of turnover time obtained from Monte-Carlosimulations of single enzyme kinetics in two dimension, both in absence andpresence of disorder. The decoupled dynamics model is simple to implement andgeneric enough to describe both normal and anomalous diffusion of substrates.It also suggests that the diffusion of substrates in the single enzyme systemscould explain the different distributions of turnover time observed in recentexperiments.



Autor: Mahashweta Basu, P. K. Mohanty

Fuente: https://arxiv.org/







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