Cover image for Mathematical Nature Of The Living World : The Power Of Integration.
Mathematical Nature Of The Living World : The Power Of Integration.
Title:
Mathematical Nature Of The Living World : The Power Of Integration.
Author:
Chauvet, Gilbert.
ISBN:
9789812565754
Personal Author:
Physical Description:
1 online resource (299 pages)
Contents:
CONTENTS -- Prolog Understanding the Functioning of Living Organisms -- The phenomena of respiration as viewed by Aristotle and Claude Bernard -- Is the time now ripe for integrative physiology? -- A novel approach to the functioning of living organisms -- Chapter I Physical and Biological Interactions -- Can physical and biological interactions be compared? -- Some consequences of the concept of functional interactions -- How do biological principles differ from physical principles? -- Formalisms in analytical mechanics -- The mysterious principle of least action -- The formalization of physical phenomena -- An example of formalization: the phenomenon of diffusion and the propagation of heat -- Mathematics and physical reality -- Chapter II The Functional Organization of Living Organisms -- The functional organization of biochemical pathways -- The functional organization of genes -- The functional organization of nervous tissue -- Structural hierarchy and functional hierarchy in living organisms -- Chapter III The Integration of Physiological Functions -- Claude Bernard's concept of the internal medium -- Homeostasis and functional equilibria -- The essential environmental functions of the integrated functional organization -- How the body gets rid of excess acidity produced by the metabolism -- Is the nature of the biological universe mathematically intelligible? -- Chapter IV Structural and Functional Organizations of Living Organisms -- Structure and function from the epistemiological, physical and biological points of view -- The importance of stability in biological phenomena -- The physiological function viewed as a hierarchical system -- The hierarchy of functional organization -- Three-dimensional representation of the relationship between the functional and structural organizations of a biological system.

"Dual" representations of a biological system: (N, a) and ( , p) -- Some consequences of the ( , p) representation -- The theoretical representation of a living organism -- Chapter V Physiological Constraints of Biological Development -- Thermodynamics governs the variation of physical structures with time -- Biological systems can change their structural organization -- The principle of stabilizing self-association explains the existence of functional interactions -- Networks of metabolic pathways are created by self-association -- A novel qualitative model describes the specialization of tissues in living organisms -- Physiological invariance is governed by the principle of vital coherence -- Physiological invariance determines the value and existence of physiological functions -- The potential of functional organization taps a "reservoir" of developmental possibilities -- Can the potential of functional organization of a biological system be calculated? -- Biological systems tend to a maximum potential of functional organization -- The developmental variation of a biological system is governed by its "orgatropy" -- The reorganization of the structural units of a biological system leads to specialization -- Optimum development implies increased functional order and decreased orgatropy -- The potential of organization of the nervous system is maximum during its development -- What distinguishes the living from the non-living? -- Mathematical abstraction can lead to new insights in biology -- Chapter VI The Role of Space in Functional Biological Organization -- Symmetry and locality are essential aspects of physical fields -- Non-symmetry and non-locality are essential aspects of biological fields -- The property of non-locality is inherent to biological systems -- How are biological processes propagated in space?.

Multiple time scales play a fundamental role in biological processes -- The propagation of fields in space depends on the connectivity between the structural units of a biological system -- The nervous system illustrates the role of space in biology -- Dynamic processes in biological systems and mathematical graphs are related through topology and geometry -- Can mathematics solve the mystery of the evolution of the species? -- Are physical structures and physiological functions complementary aspects of the Universe? -- Epilog -- Is the time now ripe for a unifying theory in biology? -- What is the fundamental nature of non-living matter? -- What is the fundamental nature of life? -- How biological systems vary with time -- Plates -- References -- Index.
Abstract:
The topic of the book a theory of functional biology thatincorporates the fundamental principles underlying the functioning ofliving organisms is clearly appropriate as we celebrate the 50thanniversary of the discovery by Watson and Crick of the structure ofthe DNA molecule.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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