Physics of Biology

   

Formulating a Mathematical Model for Living Systems

Authors: Nguyen Khanh Toan

Prigogine’s 1978 concept of dissipative structures, drawing parallels with living systems, forms the basis for exploring life’sunique traits. However, these identified similarities prove insufficient in capturing the entirety of life. To address this gap, ourproposed modeling approach emphasizes the distinctive ability of living organisms to observe other systems—an attributeintricately tied to quantum mechanics’ "measurement" processes, as highlighted by Howard Pattee. This article introduces acomprehensive mathematical model centered on quantum dynamical dissipative systems, portraying living systems as entitiesdefined by their observational capacities within this framework. The exploration extends to the core dynamics of these systemsand the intricacies of biological cells, including the impact of membrane potentials on protein states. Within this theoreticalstructure, the model is expanded to multicellular living systems, revealing how cells observe quantum dynamical systemsthrough protein state changes influenced by membrane potentials. The conclusion acknowledges the current theoreticalstatus of the model, underscoring the crucial need for experimental validation, particularly regarding the superposition state ofmembrane proteins under the influence of an electric field.

Comments: 4 Pages.

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[v1] 2023-11-28 06:48:28

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