Thermodynamic Limit of a Nonequilibrium Steady State: Maxwell-Type Construction for a Bistable Biochemical System Export

@article{citeulike:5892206, abstract = {We show that the thermodynamic limit of a bistable phosphorylation-dephosphorylation cycle has a selection rule for the ” more stable” macroscopic steady state. The analysis is akin to the Maxwell construction. Based on the chemical master equation approach, it is shown that, except at a critical point, bistability disappears in the stochastic model when fluctuation is sufficiently low but unneglectable. Onsager's Gaussian fluctuation theory applies to the unique macroscopic steady state. With an initial state in the basin of attraction of the ” less stable” steady state, the deterministic dynamics obtained by the law of mass action is a metastable phenomenon. Stability and robustness in cell biology are emergent stochastic concepts.}, author = {Ge, Hao and Qian, Hong}, citeulike-article-id = {5892206}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000103000014148103000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v103/e148103}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevLett.103.148103}, doi = {10.1103/PhysRevLett.103.148103}, journal = {Physical Review Letters}, keywords = {biochemical, cell-biology, chemical-master-equation, emergent-properties, fluctuation, macroscopic, model, multi-scale, nonequilibrium, robustness, stability, steady-state, stochastic, systems-biology, thermodynamics}, number = {14}, pages = {148103+}, posted-at = {2009-10-06 21:06:38}, priority = {3}, publisher = {APS}, title = {Thermodynamic Limit of a Nonequilibrium Steady State: Maxwell-Type Construction for a Bistable Biochemical System}, url = {http://dx.doi.org/10.1103/PhysRevLett.103.148103}, volume = {103}, year = {2009} }

TY - JOUR ID - citeulike:5892206 L3 - citeulike-article-id:5892206 N2 - We show that the thermodynamic limit of a bistable phosphorylation-dephosphorylation cycle has a selection rule for the “more stable” macroscopic steady state. The analysis is akin to the Maxwell construction. Based on the chemical master equation approach, it is shown that, except at a critical point, bistability disappears in the stochastic model when fluctuation is sufficiently low but unneglectable. Onsager's Gaussian fluctuation theory applies to the unique macroscopic steady state. With an initial state in the basin of attraction of the “less stable” steady state, the deterministic dynamics obtained by the law of mass action is a metastable phenomenon. Stability and robustness in cell biology are emergent stochastic concepts. IS - 14 JF - Physical Review Letters TI - Thermodynamic Limit of a Nonequilibrium Steady State: Maxwell-Type Construction for a Bistable Biochemical System PB - APS VL - 103 SP - 148103 KW - biochemical KW - cell-biology KW - chemical-master-equation KW - emergent-properties KW - fluctuation KW - macroscopic KW - model KW - multi-scale KW - nonequilibrium KW - robustness KW - stability KW - steady-state KW - stochastic KW - systems-biology KW - thermodynamics AU - Ge, Hao AU - Qian, Hong PY - 2009/// UR - http://dx.doi.org/10.1103/PhysRevLett.103.148103 ER -