A characteristic of self-regulated linear energy converters the hill force-Velocity relation for muscle

作者: S.R. Caplan

DOI: 10.1016/0022-5193(66)90040-3

关键词: Function (mathematics)MathematicsCouplingSymmetry (physics)Affine transformationHill differential equationConvertersFlow (mathematics)Control theoryConstant (mathematics)General Biochemistry, Genetics and Molecular BiologyModelling and SimulationStatistics and ProbabilityGeneral Immunology and MicrobiologyApplied mathematicsGeneral Agricultural and Biological SciencesGeneral Medicine

摘要: Abstract Linear energy converters which operate under conditions of fixed driving force or flow are not well adapted for use over a wide range load resistances. A theoretical treatment is given self-regulated linear converter incorporating feed-back, by altering its input responds uniquely to an imposed load. The output characteristics depend on the regulator programme and may be optimized according purpose system. development geometrical in character makes affine transformation, provides convenient input-output diagram. Although based non-equilibrium thermodynamic as simple cybernetic considerations, Onsager symmetry relation required hold. It found that behaviour such can described canonical expression includes single arbitrary function resistance. This “programming” function, if analytic, gives rise rather restrictive family characteristics. If constant it unity, considered correspond minimum information programme. characteristic then classical force-velocity equation muscle contraction experimentally A. V. Hill. coefficients Hill receive new interpretation terms degree coupling (Kedem & Caplan, 1965) converter. Completely-coupled excluded from consideration.

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