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Journal of Biomolecular Structure and Dynamics Volume 30, 2012 - Issue 2
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Articles

Isotherm of ligand adsorption on DNA at multiplicative noise

Valeri Arakelyan Department of Molecular Physics, Yerevan State University, Alek Manukyan 5, 0049, Yerevan, ArmeniaCorrespondence[email protected]
,
Sos Harutyunyan Department of Medical Physics, Yerevan State Medical University after Mkhitar Heratsi, Koryun 2, 0025, Yerevan, Armenia
,
Vardan Andriasyan Institute of Evolutionary Biology and Environmental Studies, University of Zurich, Winterhurerstrasse 190, CH-8057, Zurich, Switzerland
&
Hakob Arakelyan Department of Molecular Physics, Yerevan State University, Alek Manukyan 5, 0049, Yerevan, Armenia
Pages 217-222 | Received 30 Nov 2011, Accepted 03 Jan 2012, Published online: 12 Jun 2012
 
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Abstract

Fluctuations of the number of ligands adsorbed on macromolecules are considered in the case when the number of ligands in the solution fluctuates under the action of fluctuations of the external medium (external noise). For the case of small filling, the multiplicative type of stochastic differential equation is obtained, describing the time variation of the number of ligands adsorbed on macromolecules. The isotherm of adsorption of ligands on DNA is obtained. It is shown that at small ligand concentrations, for some relations between adsorption parameters and the intensity of the external noise, no macromolecule adsorption of ligands takes place.

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