Maximum Power Efficiency and Criticality in Random Boolean Networks

Details Maximum Power Efficiency and Criticality in Random Boolean Networks Maximum Power Efficiency and Criticality in Random Boolean Networks

2008-04-23

arxiv.org/abs/0804.3605v5

Phys. Rev. Lett., vol.101 (2008) 218702

Biology

Quantitative Biology

Other Quantitative Biology

4 pages RevTeX, 1 figure in .eps format. Comments welcome, v2: minor clarifications added, conclusions unchanged. v3: paper re

Scientific paper

10.1103/PhysRevLett.101.218702

Random Boolean networks are models of disordered causal systems that can occur in cells and the biosphere. These are open thermodynamic systems exhibiting a flow of energy that is dissipated at a finite rate. Life does work to acquire more energy, then uses the available energy it has gained to perform more work. It is plausible that natural selection has optimized many biological systems for power efficiency: useful power generated per unit fuel. In this letter we begin to investigate these questions for random Boolean networks using Landauer's erasure principle, which defines a minimum entropy cost for bit erasure. We show that critical Boolean networks maximize available power efficiency, which requires that the system have a finite displacement from equilibrium. Our initial results may extend to more realistic models for cells and ecosystems.

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