ArticleThe Journal of chemical physics2008
Maximum Caliber: a variational approach applied to two-state dynamics.
Article in The Journal of chemical physics, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- Modeling and inferring metacommunity dynamics with Maximum Caliber.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- An update on passive transport in and out of plant cells.Plant physiology · 2021Review
- Inferring a network from dynamical signals at its nodes.PLoS computational biology · 2020Article
- Solving Equations of Motion by Using Monte Carlo Metropolis: Novel Method Via Random Paths Sampling and the Maximum Caliber Principle.Entropy (Basel, Switzerland) · 2020Article
- The Maximum Caliber Variational Principle for Nonequilibria.Annual review of physical chemistry · 2020Review
- Conformational Free Energy Changes via an Alchemical Path without Reaction Coordinates.The journal of physical chemistry letters · 2018Article
- Inferring Microscopic Kinetic Rates from Stationary State Distributions.Journal of chemical theory and computation · 2014Article
- Data-driven quantification of the robustness and sensitivity of cell signaling networks.Physical biology · 2013Article
- Probing the origins of two-state folding.The Journal of chemical physics · 2013Article
- Improved spatial direct method with gradient-based diffusion to retain full diffusive fluctuations.The Journal of chemical physics · 2012Article
- A derivation of the master equation from path entropy maximization.The Journal of chemical physics · 2012Article
- Markov processes follow from the principle of maximum caliber.The Journal of chemical physics · 2012Article
- Noise characteristics of the Escherichia coli rotary motor.BMC systems biology · 2011Article
- Modeling stochastic dynamics in biochemical systems with feedback using maximum caliber.The journal of physical chemistry. B · 2011Article
- Tensile forces and shape entropy explain observed crista structure in mitochondria.Biophysical journal · 2010Article
- Trajectory approach to two-state kinetics of single particles on sculpted energy landscapes.Physical review letters · 2009Article
- Extracting Kinetic and Stationary Distribution Information from Short MD Trajectories via a Collection of Surrogate Diffusion Models.Journal of chemical theory and computation · 2009Article
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3 authors.
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Abstract
We show how to apply a general theoretical approach to nonequilibrium statistical mechanics, called Maximum Caliber, originally suggested by E. T. Jaynes [Annu. Rev. Phys. Chem. 31, 579 (1980)], to a problem of two-state dynamics. Maximum Caliber is a variational principle for dynamics in the same spirit that Maximum Entropy is a variational principle for equilibrium statistical mechanics. The central idea is to compute a dynamical partition function, a sum of weights over all microscopic paths, rather than over microstates. We illustrate the method on the simple problem of two-state dynamics, A<-->B, first for a single particle, then for M particles. Maximum Caliber gives a unified framework for deriving all the relevant dynamical properties, including the microtrajectories and all the moments of the time-dependent probability density. While it can readily be used to derive the traditional master equation and the Langevin results, it goes beyond them in also giving trajectory information. For example, we derive the Langevin noise distribution rather than assuming it. As a general approach to solving nonequilibrium statistical mechanics dynamical problems, Maximum Caliber has some advantages: (1) It is partition-function-based, so we can draw insights from similarities to equilibrium statistical mechanics. (2) It is trajectory-based, so it gives more dynamical information than population-based approaches like master equations; this is particularly important for few-particle and single-molecule systems. (3) It gives an unambiguous way to relate flows to forces, which has traditionally posed challenges. (4) Like Maximum Entropy, it may be useful for data analysis, specifically for time-dependent phenomena.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.