Controllability in Hybrid Kinetic Equations Modeling Nonequilibrium Multicellular Systems

This paper is concerned with the derivation of hybrid kinetic partial integrodifferential equations that can be proposed for the mathematical modeling of multicellular systems subjected to external force fields and characterized by nonconservative interactions. In order to prevent an uncontrolled ti...

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Detalles Bibliográficos
Autor principal: Bianca, Carlo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3804480/
https://www.ncbi.nlm.nih.gov/pubmed/24191137
http://dx.doi.org/10.1155/2013/274719
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author Bianca, Carlo
author_facet Bianca, Carlo
author_sort Bianca, Carlo
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description This paper is concerned with the derivation of hybrid kinetic partial integrodifferential equations that can be proposed for the mathematical modeling of multicellular systems subjected to external force fields and characterized by nonconservative interactions. In order to prevent an uncontrolled time evolution of the moments of the solution, a control operator is introduced which is based on the Gaussian thermostat. Specifically, the analysis shows that the moments are solution of a Riccati-type differential equation.
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spelling pubmed-38044802013-11-04 Controllability in Hybrid Kinetic Equations Modeling Nonequilibrium Multicellular Systems Bianca, Carlo ScientificWorldJournal Research Article This paper is concerned with the derivation of hybrid kinetic partial integrodifferential equations that can be proposed for the mathematical modeling of multicellular systems subjected to external force fields and characterized by nonconservative interactions. In order to prevent an uncontrolled time evolution of the moments of the solution, a control operator is introduced which is based on the Gaussian thermostat. Specifically, the analysis shows that the moments are solution of a Riccati-type differential equation. Hindawi Publishing Corporation 2013-09-26 /pmc/articles/PMC3804480/ /pubmed/24191137 http://dx.doi.org/10.1155/2013/274719 Text en Copyright © 2013 Carlo Bianca. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Bianca, Carlo
Controllability in Hybrid Kinetic Equations Modeling Nonequilibrium Multicellular Systems
title Controllability in Hybrid Kinetic Equations Modeling Nonequilibrium Multicellular Systems
title_full Controllability in Hybrid Kinetic Equations Modeling Nonequilibrium Multicellular Systems
title_fullStr Controllability in Hybrid Kinetic Equations Modeling Nonequilibrium Multicellular Systems
title_full_unstemmed Controllability in Hybrid Kinetic Equations Modeling Nonequilibrium Multicellular Systems
title_short Controllability in Hybrid Kinetic Equations Modeling Nonequilibrium Multicellular Systems
title_sort controllability in hybrid kinetic equations modeling nonequilibrium multicellular systems
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3804480/
https://www.ncbi.nlm.nih.gov/pubmed/24191137
http://dx.doi.org/10.1155/2013/274719
work_keys_str_mv AT biancacarlo controllabilityinhybridkineticequationsmodelingnonequilibriummulticellularsystems

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