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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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/274719 |
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| _version_ | 1832558948932124672 |
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| author | Carlo Bianca |
| author_facet | Carlo Bianca |
| author_sort | Carlo Bianca |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-96049187981a4e7ea1c24033dff667ab |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-96049187981a4e7ea1c24033dff667ab2025-02-03T01:31:15ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/274719274719Controllability in Hybrid Kinetic Equations Modeling Nonequilibrium Multicellular SystemsCarlo Bianca0Dipartimento di Scienze Matematiche, Politecnico, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyThis 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.http://dx.doi.org/10.1155/2013/274719 |
| spellingShingle | Carlo Bianca Controllability in Hybrid Kinetic Equations Modeling Nonequilibrium Multicellular Systems The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2013/274719 |
| work_keys_str_mv | AT carlobianca controllabilityinhybridkineticequationsmodelingnonequilibriummulticellularsystems |