Functional biodynamics of human-body system: A mathematical axiomatics with functional learning and aging in life cycle

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RESEARCH ARTICLE

Functional biodynamics of human-body system: A mathematical axiomatics with functional learning and aging in life cycle Jochen Mau1 Received: 21 January 2020 / Revised: 5 August 2020 / Accepted: 17 August 2020  Springer Nature B.V. 2020

Abstract ‘‘Systems neuroergonomics’’ (Mau, J. In: R. Wang and X. Pan, editors, Advances in Cognitive Neurodynamics (V), chapter 59, pages 431–437, Springer Science?Business Media, Singapore, 2016) showed a separation of human-body system’s functional organization from its cellular material in order to open a holistic perspective that can comprise all body functions. This was achieved with a strictly hierarchical structure in drill-down from system’s functional whole to base functional elements. Implied multi-scale functional dynamics with coherent up-scaling were mathematically described in an axiomatic way, but the daily wake/sleep dynamics cover mainly anticipated functional challenges. Here, the theory is expanded to permit ‘‘functional learning’’ in the sense of adjustment of functional capacities to meet higher demand. ‘‘Functional aging’’ as a whole-body frailty is derived from biodynamic entropy that eventually drives the living to meet its inevitable destiny, death. The ages at which frailty begins to dominate can currently be obtained only from official life tables as population averages and are different for men and women, accordingly. The objective is to develop a mathematical theory in medicine from an axiomatic approach to phenomenological biodynamics, in which cognition is viewed as an embodied activity. Keywords Holistic functional structure  Multi-scale dynamics  Functional capacity  Operational activity  Functional biodynamics  Biodynamic entropy

Introduction The ultimate objective would be a coherent mathematical description of a person’s behavioral and his or her body’s physiological dynamics from a systems automation viewpoint. Despite an immense body of evidence about anatomical structures and physiological functions consolidated by many generations of doctors, an integrating understanding of human-body’s functional parts, their dynamic cooperation with respective controls that extend across several scales, is lacking. This is in the spirit of Varela et al. (1991) who introduced the ‘‘view of cognition as embodied action’’ into cognitive science. Regarding cognitive neurodynamics as part of whole human-body system dynamics, controls of the former must & Jochen Mau [email protected] 1

School of Medicine, Heinrich Heine University, 40225 Du¨sseldorf, Germany

be assumed to be interwoven with physiological controls of the latter, in particular with those in charge of body-system’s vital functions of energy supply. In fact, Binkofski et al. (2011) investigated the selfish brain hypothesis by Peters et al. (2004) which holds that the hypothalamus prioritizes higher energy demand by the brain, and they found indeed higher blood–glucose levels under transcranial direct–current electric stimulation of b