Cargando…

Use of a system of differential equations to analyze the functioning of a catalytic bio macromolecule under non equilibrium conditions

The aim of the work is to analyze the response of a biomolecule to an external influence based on the study of its hidden states by identifying differential equations with constant coefficients. The relevance of the work lies in the fact that often the main reaction of an object to an external actio...

Descripción completa

Detalles Bibliográficos
Autores principales: Barabash, Y.M., Serdenko, T.V., Knox, P.P., Golub, A.A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6656994/
https://www.ncbi.nlm.nih.gov/pubmed/31372558
http://dx.doi.org/10.1016/j.heliyon.2019.e02108
_version_ 1783438721166606336
author Barabash, Y.M.
Serdenko, T.V.
Knox, P.P.
Golub, A.A.
author_facet Barabash, Y.M.
Serdenko, T.V.
Knox, P.P.
Golub, A.A.
author_sort Barabash, Y.M.
collection PubMed
description The aim of the work is to analyze the response of a biomolecule to an external influence based on the study of its hidden states by identifying differential equations with constant coefficients. The relevance of the work lies in the fact that often the main reaction of an object to an external action can be represented as a sum of various exponential functions with a common starting point and a material balance equation. In this case, the response of an object to an external action corresponds to a system of differential equations with constant coefficients. This character of the main reaction may be due to the influence of the hidden properties of the object, which play the role of regulatory parameters. The problem is that the hidden factors and the system of differential equations are not identified. As an object, isolated reaction centers (RC) of the bacteria Rhodobacter sphaeroides, which possess the above properties, has used. Their structure is well studied. As result of studying of photo excitation processes of the reaction center has shown that electron transfer kinetics (the main reaction) can be approximated by three normalized exponential functions. Program was developed to identify for four differential equations of electron transfer and the balance equation, the behavior of hidden states of the reaction center. It was concluded that time the dependence the probability density of finding an electron in different conformational states of the reaction center characterizes the space-time changes in the structure of the reaction center.
format Online
Article
Text
id pubmed-6656994
institution National Center for Biotechnology Information
language English
publishDate 2019
publisher Elsevier
record_format MEDLINE/PubMed
spelling pubmed-66569942019-08-01 Use of a system of differential equations to analyze the functioning of a catalytic bio macromolecule under non equilibrium conditions Barabash, Y.M. Serdenko, T.V. Knox, P.P. Golub, A.A. Heliyon Article The aim of the work is to analyze the response of a biomolecule to an external influence based on the study of its hidden states by identifying differential equations with constant coefficients. The relevance of the work lies in the fact that often the main reaction of an object to an external action can be represented as a sum of various exponential functions with a common starting point and a material balance equation. In this case, the response of an object to an external action corresponds to a system of differential equations with constant coefficients. This character of the main reaction may be due to the influence of the hidden properties of the object, which play the role of regulatory parameters. The problem is that the hidden factors and the system of differential equations are not identified. As an object, isolated reaction centers (RC) of the bacteria Rhodobacter sphaeroides, which possess the above properties, has used. Their structure is well studied. As result of studying of photo excitation processes of the reaction center has shown that electron transfer kinetics (the main reaction) can be approximated by three normalized exponential functions. Program was developed to identify for four differential equations of electron transfer and the balance equation, the behavior of hidden states of the reaction center. It was concluded that time the dependence the probability density of finding an electron in different conformational states of the reaction center characterizes the space-time changes in the structure of the reaction center. Elsevier 2019-07-19 /pmc/articles/PMC6656994/ /pubmed/31372558 http://dx.doi.org/10.1016/j.heliyon.2019.e02108 Text en © 2019 Published by Elsevier Ltd. http://creativecommons.org/licenses/by-nc-nd/4.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Article
Barabash, Y.M.
Serdenko, T.V.
Knox, P.P.
Golub, A.A.
Use of a system of differential equations to analyze the functioning of a catalytic bio macromolecule under non equilibrium conditions
title Use of a system of differential equations to analyze the functioning of a catalytic bio macromolecule under non equilibrium conditions
title_full Use of a system of differential equations to analyze the functioning of a catalytic bio macromolecule under non equilibrium conditions
title_fullStr Use of a system of differential equations to analyze the functioning of a catalytic bio macromolecule under non equilibrium conditions
title_full_unstemmed Use of a system of differential equations to analyze the functioning of a catalytic bio macromolecule under non equilibrium conditions
title_short Use of a system of differential equations to analyze the functioning of a catalytic bio macromolecule under non equilibrium conditions
title_sort use of a system of differential equations to analyze the functioning of a catalytic bio macromolecule under non equilibrium conditions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6656994/
https://www.ncbi.nlm.nih.gov/pubmed/31372558
http://dx.doi.org/10.1016/j.heliyon.2019.e02108
work_keys_str_mv AT barabashym useofasystemofdifferentialequationstoanalyzethefunctioningofacatalyticbiomacromoleculeundernonequilibriumconditions
AT serdenkotv useofasystemofdifferentialequationstoanalyzethefunctioningofacatalyticbiomacromoleculeundernonequilibriumconditions
AT knoxpp useofasystemofdifferentialequationstoanalyzethefunctioningofacatalyticbiomacromoleculeundernonequilibriumconditions
AT golubaa useofasystemofdifferentialequationstoanalyzethefunctioningofacatalyticbiomacromoleculeundernonequilibriumconditions