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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书目详细资料
Main Authors: Fabio Bagarello, Francesco Gargano
格式: 文件
语言:English
出版: MDPI AG 2018-04-01
丛编:Entropy
主题:
在线阅读:http://www.mdpi.com/1099-4300/20/4/270
实物特征
总结: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.
ISSN:1099-4300