6533b7d9fe1ef96bd126b94d
RESEARCH PRODUCT
Non-hermitian operator modelling of basic cancer cell dynamics
Fabio BagarelloFrancesco Garganosubject
General Physics and Astronomylcsh:AstrophysicsTumor cells01 natural sciencesArticle010305 fluids & plasmassymbols.namesakeOperatorial models; Schrödinger dynamics; non Hermitian Hamiltonian; Tumoral proliferation modelSchrödinger dynamicParticle number operatorlcsh:QB460-4660103 physical scienceslcsh:Science010306 general physicsSettore MAT/07 - Fisica MatematicaMathematical physicsPhysicsMedical treatmentOperatorial modelOther Quantitative Biology (q-bio.OT)Non hermitian HamiltonianTumoral proliferation modelQuantitative Biology - Other Quantitative Biologylcsh:QC1-999Birth–death processFOS: Biological sciencesSchrödinger dynamicsCancer cellsymbolslcsh:QOperatorial modelsHamiltonian (quantum mechanics)lcsh:PhysicsSelf-adjoint operatordescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-04-01 |