A derivation of the grand canonical partition function for systems with a finite number of binding sites using a Markov chain model for the dynamics of single molecules

DOI10.1007/s10910-013-0287-8zbMath1311.92218OpenAlexW2055225513WikidataQ59394795 ScholiaQ59394795MaRDI QIDQ2014791

Johannes W. R. Martini, Michael Habeck, Martin Schlather

Publication date: 16 June 2014

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-013-0287-8

zbMATH Keywords

Markov chainbinding energygrand canonical partition functionligand bindingbinding polynomialdecoupled sites representationbinding dynamics

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20)

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Cites Work

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• On the interaction of two different types of ligands binding to the same molecule. I: Basics and the transfer of the decoupled sites representation to systems with n and one binding sites
• On the interaction of different types of ligands binding to the same molecule part II: systems with \(n\) to 2 and \(n\) to 3 binding sites
• A mathematical view on the decoupled sites representation
• Asymptotics of quantum relative entropy from a representation theoretical viewpoint
• Equation of State Calculations by Fast Computing Machines
• Monte Carlo sampling methods using Markov chains and their applications

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