Transformations that preserve detailed balance in Markov models.

Transformations that preserve detailed balance in Markov models. Research Abstract Details 

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Transformations that preserve detailed balance in Markov models. Abstract Text:

William J Bruno,John E Pearson,

Aggregated Markov processes related by similarity transformation are equivalent in that they cannot be distinguished by steady-state experiments. We derive an explicit formula for the set of all detailed-balance preserving similarity transformations between such continuous time Markov chains with N states. The matrices that define the allowed similarity transformations are found to be a simple non-linear function applied to almost any element of the special orthogonal group in N dimensions. Since a model is identifiable only if there is no similarity transformations to an equivalent model, we expect this result to prove useful in the theory of identification of aggregated Markov chains, an enterprise of growing importance as more and more single molecules yield to observation.

Transformations that preserve detailed balance in Markov models. Publishing Authors By Initials

WJ Bruno,JE Pearson,

For similar natural sciences: mathematics: nonlinear dynamics research abstracts see: natural sciences: mathematics: nonlinear dynamics research

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Transformations that preserve detailed balance in Markov models. Journal Published:

PUBLICATION TYPE: Research Support, N.I.H., Extr

Journal: Journal of computational biology : a journal of co

VOLUME: 13

Page Numbers: 1574-8

Journal Abbreviation: J. Comput. Biol.

ISSN: 1066-5277

DAY: 3

MONTH: Nov

YEAR: 2006

Transformations that preserve detailed balance in Markov models. Information

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LANGUAGE: eng

NlmUniqueID: 9433358

Transformations that preserve detailed balance in Markov models. Keywords Mesh Terms:

KEYWORDS: Nonlinear Dynamics

MESH TERMS: metabolism

Chemical & Substance for Abstract: Transformations that preserve detailed balance in Markov models. Information

Substance Name: Ion Channels

Registry Number: 0

Grant and Affiliation Information for Transformations that preserve detailed balance in Markov models.

AFFILIATION: Theoretical Biology and Biophysics, Los Alamos National Laboratory, Los Alamos, New Mexico 87544, USA.

Country: United States

AGENCY: United States NIGMS

GRANT: R01GM65830-01

ACRONYM: GM

MEDLINETA: J Comput Biol

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