Quantum-like modeling in biology with open quantum systems and instruments. (March 2021)

• Record Type: Journal Article
• Authors: Basieva, Irina; Khrennikov, Andrei; Ozawa, Masanao
• Is Part Of: Bio systems. Volume 201(2021)
• Publication Date: 2021-03
• Subjects: Mathematical formalism of quantum mechanics -- Open quantum systems -- Quantum instruments -- Quantum Markov dynamics -- Gene regulation -- Psychological effects -- Cognition -- Epigenetic mutation -- Biological functions; Biological systems -- Periodicals; Biology -- Periodicals; Biology -- Periodicals; Evolution -- Periodicals; Biologie -- Périodiques; Évolution -- Périodiques; 570
• DOI: 10.1016/j.biosystems.2020.104328
• Languages: English
• ISSNs: 0303-2647

Abstract

Abstract: We present the novel approach to mathematical modeling of information processes in biosystems. It explores the mathematical formalism and methodology of quantum theory, especially quantum measurement theory. This approach is known as quantum-like and it should be distinguished from study of genuine quantum physical processes in biosystems (quantum biophysics, quantum cognition). It is based on quantum information representation of biosystem's state and modeling its dynamics in the framework of theory of open quantum systems. This paper starts with the non-physicist friendly presentation of quantum measurement theory, from the original von Neumann formulation to modern theory of quantum instruments. Then, latter is applied to model combinations of cognitive effects and gene regulation of glucose/lactose metabolism in Escherichia coli bacterium. The most general construction of quantum instruments is based on the scheme of indirect measurement, in that measurement apparatus plays the role of the environment for a biosystem. The biological essence of this scheme is illustrated by quantum formalization of Helmholtz sensation–perception theory. Then we move to open systems dynamics and consider quantum master equation, with concentrating on quantum Markov processes. In this framework, we model functioning of biological functions such as psychological functions and epigenetic mutation. Highlights: The novel approach to mathematical modeling of information processes in biosystems is presented. It explores the mathematical formalism and methodology of quantum theory — quantum-like modeling. This modeling is applied to functioning of biofunctions, metabolism, epigenetic mutation, decision making.