# Open Markov Processes: A Compositional Perspective on Non-Equilibrium Steady States in Biology

@article{Pollard2016OpenMP, title={Open Markov Processes: A Compositional Perspective on Non-Equilibrium Steady States in Biology}, author={Blake S. Pollard}, journal={Entropy}, year={2016}, volume={18}, pages={140} }

In recent work, Baez, Fong and the author introduced a framework for describing Markov processes equipped with a detailed balanced equilibrium as open systems of a certain type. These `open Markov processes' serve as the building blocks for more complicated processes. In this paper, we describe the potential application of this framework in the modeling of biological systems as open systems maintained away from equilibrium. We show that non-equilibrium steady states emerge in open systems of…

## 11 Citations

### Open Markov Processes and Reaction Networks

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The thermodynamic formalism is used to build a framework in the context maximum entropy models to quantify the degree of time irreversibility, providing an explicit formula for the information entropy production of the inferred maximum entropy Markov chain.

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