Non-Hermitian Operator Modelling of Basic Cancer Cell Dynamics
We propose a dynamical system of tumor cells proliferation based on operatorial methods. The approach we propose is quantum-like: we use ladder and number operators to describe healthy and tumor cells birth and death, and the evolution is ruled by a non-hermitian Hamiltonian which includes, in a non...
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| Formaat: | Artikel |
| Taal: | English |
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MDPI AG
2018-04-01
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| Reeks: | Entropy |
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| Online toegang: | http://www.mdpi.com/1099-4300/20/4/270 |
| _version_ | 1828113656257183744 |
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| author | Fabio Bagarello Francesco Gargano |
| author_facet | Fabio Bagarello Francesco Gargano |
| author_sort | Fabio Bagarello |
| collection | DOAJ |
| description | We propose a dynamical system of tumor cells proliferation based on operatorial methods. The approach we propose is quantum-like: we use ladder and number operators to describe healthy and tumor cells birth and death, and the evolution is ruled by a non-hermitian Hamiltonian which includes, in a non reversible way, the basic biological mechanisms we consider for the system. We show that this approach is rather efficient in describing some processes of the cells. We further add some medical treatment, described by adding a suitable term in the Hamiltonian, which controls and limits the growth of tumor cells, and we propose an optimal approach to stop, and reverse, this growth. |
| first_indexed | 2024-04-11T12:11:08Z |
| format | Article |
| id | doaj.art-e8c9d6e7df6043b9aa5540a4f99e273c |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T12:11:08Z |
| publishDate | 2018-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-e8c9d6e7df6043b9aa5540a4f99e273c2022-12-22T04:24:37ZengMDPI AGEntropy1099-43002018-04-0120427010.3390/e20040270e20040270Non-Hermitian Operator Modelling of Basic Cancer Cell DynamicsFabio Bagarello0Francesco Gargano1Dipartimento di Energia, Ingegneria dell’Informazione e Modelli Matematici, University of Palermo, 90133 Palermo, ItalyDipartimento di Energia, Ingegneria dell’Informazione e Modelli Matematici, University of Palermo, 90133 Palermo, ItalyWe propose a dynamical system of tumor cells proliferation based on operatorial methods. The approach we propose is quantum-like: we use ladder and number operators to describe healthy and tumor cells birth and death, and the evolution is ruled by a non-hermitian Hamiltonian which includes, in a non reversible way, the basic biological mechanisms we consider for the system. We show that this approach is rather efficient in describing some processes of the cells. We further add some medical treatment, described by adding a suitable term in the Hamiltonian, which controls and limits the growth of tumor cells, and we propose an optimal approach to stop, and reverse, this growth.http://www.mdpi.com/1099-4300/20/4/270Operatorial modelsSchrödinger dynamicsnon Hermitian HamiltonianTumoral proliferation model |
| spellingShingle | Fabio Bagarello Francesco Gargano Non-Hermitian Operator Modelling of Basic Cancer Cell Dynamics Entropy Operatorial models Schrödinger dynamics non Hermitian Hamiltonian Tumoral proliferation model |
| title | Non-Hermitian Operator Modelling of Basic Cancer Cell Dynamics |
| title_full | Non-Hermitian Operator Modelling of Basic Cancer Cell Dynamics |
| title_fullStr | Non-Hermitian Operator Modelling of Basic Cancer Cell Dynamics |
| title_full_unstemmed | Non-Hermitian Operator Modelling of Basic Cancer Cell Dynamics |
| title_short | Non-Hermitian Operator Modelling of Basic Cancer Cell Dynamics |
| title_sort | non hermitian operator modelling of basic cancer cell dynamics |
| topic | Operatorial models Schrödinger dynamics non Hermitian Hamiltonian Tumoral proliferation model |
| url | http://www.mdpi.com/1099-4300/20/4/270 |
| work_keys_str_mv | AT fabiobagarello nonhermitianoperatormodellingofbasiccancercelldynamics AT francescogargano nonhermitianoperatormodellingofbasiccancercelldynamics |