Non-hermitian operator modelling of basic cancer cell dynamics

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)1-17
Number of pages17
JournalEntropy
Volume20
Publication statusPublished - 2018

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tumors
cancer
operators
death
ladders
dynamical systems
cells

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Non-hermitian operator modelling of basic cancer cell dynamics. / Gargano, Francesco; Bagarello, Fabio; Bagarello, Fabio.

In: Entropy, Vol. 20, 2018, p. 1-17.

Research output: Contribution to journalArticle

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