Abstract
The totally asymmetric simple exclusion processes (TASEP) has beenused since 1968 to model different biochemical processes,including kinetics of protein synthesis, molecular motors traffic,collective effects in genetic transcription. Here, we considerTASEP defined on an open network consisting of simple head andtail chains with a double-chain section in-between. Our results of Monte Carlo simulations show a novel property of the model when the simple chains are in the maximum-current phase: upon moving the double-chain defect from the central position forward or backward along the network, keeping fixed the length of both the defect and the whole network, a position-induced phase change in the parallel defect chains takes place. This phenomenon is explained in terms of finite-size dependence of the effective injection and removal rates at the ends of the double-chain defect. Some implications of the results for molecular motors cellular transport along such networks are suggested. However, at present these are just speculations which need further examinations.
Highlights
The world of non-equilibrium phenomena is more diverse and much more interesting as compared to our experience with its equilibrium counterpart
One can see that recently more methods and concepts from non-equilibrium statistical physics are applied to model processes in living systems and biological phenomena [10, 11, 12, 13, 14, 15, 16, 17, 18]
This is quite natural since the object of non-equilibrium statistical physics are open many-particle systems with macroscopic currents of energy and/or particles
Summary
The world of non-equilibrium phenomena is more diverse and much more interesting as compared to our experience with its equilibrium counterpart. One can see that recently more methods and concepts from non-equilibrium statistical physics are applied to model processes in living systems and biological phenomena [10, 11, 12, 13, 14, 15, 16, 17, 18]. In the last twenty years, the non-equilibrium statistical physicists [19, 20, 21, 22, 23, 24] are very much interested in the study of different kind of models which are expected to provide deep understanding of the generic behavior of non-equilibrium systems Another challenging problem, from both biological and mathematical point of view, is the consideration of biochemical transport phenomena on networks with non-trivial topology. The last section is devoted to our new Monte Carlo simulation results displaying a novel property of the model with the double-chain section in the maximum-current phase
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