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Optimal Allocation of Dissipation to Maximize Flux, Analytically

Resource type
Thesis type
Honours Bachelor of Science
Date created
Biological processes are inherently stochastic, and to achieve directionality, consume free energy. In most cases, the total free energy for a single cycle is fixed. We investigate how this fixed free energy can be allocated throughout different states to maximize the probability flux. We adopt a formalism based on the master equation to find exact solutions to the probability distribution for a specific state at a given time in Laplace space. With this analytical expression for probability distributions, we can calculate the probability flux for a 2-state and 3-state systems using two different energy landscapes, forward=labile, and reverse-labile schemes. We find the optimal allocation of free energy is unevenly distributed to compensate for slower transitions rates in the cycle.
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Copyright is held by the author.
Scholarly level
Supervisor or Senior Supervisor
Thesis advisor: Sivak, David
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Zarrin-UGThesis-2018.pdf 6.27 MB

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