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Network Translation and Absolute Concentration Robustness

Banff International Research Station for Mathematical Innovation and Discovery

The steady state property of absolute concentration robustness (ACR) has recently gained attention in the literature. A species is said to be ACR if its attains the same value at all positive steady states, i.e. the steady state value does not depend upon initial concentrations. This mathematical property suggests evolved structure in biochemical reaction networks which is capable of maintaining narrow ranges for certain reactants in the face of fluctuating external circumstances. In this talk, I will introduce a new method for establishing ACR in mass action systems which utilizes the recently developed theory of network translation. In addition to expanding the scope of systems which can be guaranteed to permit ACR, our method typically allows the steady state ACR value to be computed directly from a reaction network known as a translated chemical reaction network.

Mathematics; Dynamical systems and ergodic theory; Probability theory and stochastic processes; Mathematical biology

video/mp4

Author affiliation: San Jose State University

2017-12-04

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/63815

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/