Mathematical Mechanics: From Particle To Muscle

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A01=Ellis D Cooper
Actin-Myosin Complex
Author_Ellis D Cooper
Balance of Momentum Equation
Boltzmann H-Theorem
Carnot Interaction
Category Theory
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Chemical Reaction Network
Clausius Theorem
Continuity Equation
Continuum Mechanics
Detailed Balance
Diffusion Equation
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Fick's Law
Fluctuation-Dissipation Theorem
Fokker-Plank Equation
Free Energy Landscape
Hamilton Equation
Hyperreal Number
Infinitesimal Calculus
Isotropic Tensor
Kolmogorov Probability Space
Mechanochemistry
Molecular Thermodynamics
Non-Processive Molecular Motor
Particle Mechanics
Sarcomere
Skeletal Muscle
Statistical Entropy
Stochastic Simulation
Timing Machinery
Topological Space

Product details

  • ISBN 9789814289702
  • Publication Date: 07 Apr 2011
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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This unprecedented book offers all the details of the mathematical mechanics underlying modern modeling of skeletal muscle contraction. The aim is to provide an integrated vision of mathematics, physics, chemistry and biology for this one understanding. The method is to take advantage of latest mathematical technologies — Eilenberg-Mac Lane category theory, Robinson infinitesimal calculus and Kolmogorov probability theory — to explicate Particle Mechanics, The Theory of Substances (categorical thermodynamics), and computer simulation using a diagram-based parallel programming language (stochastic timing machinery). Proofs rely almost entirely on algebraic calculations without set theory. Metaphors and analogies, and distinctions between representational pictures, mental model drawings, and mathematical diagrams are offered.AP level high school calculus students, high school science teachers, undergraduates and graduate college students, and researchers in mathematics, physics, chemistry, and biology may use this integrated publication to broaden their perspective on science, and to experience the precision that mathematical mechanics brings to understanding the molecular mechanism vital for nearly all animal behavior.

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