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  1. The pattern of population growth as a function of redundancy and repair.A. Steiner & I. Walker - 1990 - Acta Biotheoretica 38 (2):83-90.
    A basic model of hierarchical structure, expressed by simple, linear differential equations, shows that the pattern of population growth is essentially determined by conditions of redundancy in the sub-structure of individuals. There does not exist any possible combination between growth rate and accident rate that could balance population numbers and/or the level of redundancy within the population; all possible combinations either lead to extinction or to positive population growth with a decline of the fraction of individuals with redundant substructure. Declining (...)
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  • Competition and information.I. Walker - 1993 - Acta Biotheoretica 41 (3):249-266.
    Reconsideration of the logistic equation and of its expansion to the special and general Volterra competition equations in terms of mass/energy in phase-space, shows that information on the phase-spatial conditions of resource and consumers determines specific population parameters which, in turn, decide on coexistence and extinction.Thus, introduction ofInformation as a separate and independent biophysical parameter, in analogy, and in addition, to Force in Classical Physics, is necessary. This allows for quantification of informational effects on resource flows and population numbers. As (...)
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  • Minding the emperor's new mind.I. Walker - 1994 - Acta Biotheoretica 42 (1):77-84.
    This essay equates Penrose's (1989) Emperor with the scientist engaging in mental (Schrödinger's cat) or real experiments.The simultaneous presence of apparently contradictory phase-spatial symmetry conditions on the various hierarchical levels of biological systems are seen as the result of genetic and neurophysiological information that interferes with the physico-chemical vectors between the structural components of the system, the experimenter being an integral part of this informational causality. Equations pertaining to the lowest structural levels of matter, therefore, may not be extendable over (...)
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  • The mechanical properties of proteins determine the laws of evolutionary change.I. Walker - 1979 - Acta Biotheoretica 28 (4):239-282.
    The general inorganic nature of traditional selection theory (based on differential growth between any two systems) is pointed out, wherefrom it follows that this theory cannot provide explanations for the characteristics of organic evolution. Specific biophysical aspects enter with the complexity of macro-molecules: vital physical conditions for the perpetuation of the system, irrevocable extinction (= death) and random change leading to novelty, are the result of complexity per se. Further biophysical properties are a direct function of the pathway along which (...)
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