<documentation xmlns="http://cellml.org/tmp-documentation"> <articleinfo> Teaching from classic papers: Hill's model of muscle contraction <author> <firstname>Catherine</firstname> <surname>Lloyd</surname> <affiliation> <shortaffil>Auckland Bioengineering Institute, University of Auckland</shortaffil> </affiliation> </author> </articleinfo> Model Status This CellML model runs in both PCEnv and COR to reproduce the published results. The units have been checked and they are consistent. <sect1 id="sec_structure"> Model Structure ABSTRACT: A. V. Hill's 1938 paper "The heat of shortening and the dynamic constants of muscle" is an enduring classic, presenting detailed methods, meticulous experiments, and the model of muscle contraction that now bears Hill's name. Pairing a simulation based on Hill's model with a reading of his paper allows students to follow his thought process to discover key principles of muscle physiology and gain insight into how to develop quantitative models of physiological processes. In this article, the experience of the author using this approach in a graduate biomedical engineering course is outlined, along with suggestions for adapting this approach to other audiences. Teaching from classic papers: Hill's model of muscle contraction, J.W. Holmes, 2006, Advances in Physiology Education , 30, 67-72. PubMed ID: 16709736 <informalfigure float="0" id="diagram"> <mediaobject> <imageobject> <objectinfo> diagram </objectinfo> <imagedata fileref="holmes_2006.png" /> </imageobject> </mediaobject> A schematic diagram of the two component muscle model. Force in the muscle = F_SE = F_CE. By specifying Lm, Fm is calculated from the force velocity properties of CE and the force-length relationship of SE. </informalfigure> </sect1> </documentation>
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C:\Users\chthompson\Dropbox\Work Related\Annotated Models\Holmes_2006\holmes_2006.cellml
Chris Thompson
holmes_2006
Surface normal tensile stress
Tensile velocity
Span of spatial entity
Elastic tissue
Set of skeletal muscle cells
Skeletal muscle tissue
Striated muscle tissue
A physical entity that is defined by linking multiple physical entity terms with structural relations.
A mathematical and/or logical expression that determines the value of a data structure.
An element of a SemSim model that relates to the mathematical or logical representation of physical quantities or qualities.
A physical dependency defined in a specific SemSim model.
A physical entity defined in a specific SemSim model.
A physical process defined in a specific SemSim model.
A physical property defined in a specific SemSim model.
A computational element that stores numerical and/or logical information related to the model.
A data structure whose value is limited to decimals.
A data structure whose value is limited to the whole numbers.
A data structure unique to JSim's Mathematical Modeling Language (MML) used to set one or more model input values at runtime.
A quantitative relation between values of physical properties that occurs over a span of time and that determines the time-course of a physical process.
A physics analytical entity that represents the material, energy, and/or information content of material or immaterial, space-occupying continuants.
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A physical processural entity that is a flow, or the control of a flow, of energy and/or information amongst physical continuants that are participants in the physical process.
A physical attribute of an instance of a physical entity, an occurrence of a physical process, or a physical dependency that has a quantitative value that is measurable by a physical device or method, or is computable from such values.
A data structure whose value is limited to the real numbers.
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Skeletal muscle contraction
Contraction of skeletal muscle
Fraction of muscle length
Contribution of muscle contractile elements to fraction of muscle length
Contribution of muscle elastic elements to fraction of muscle length
Initial contribution of muscle elastic elements to fraction of muscle length
Steady-state force
Maximal isometric tetanic force
Slope of the relationship between the change in muscle length and excess heat.
Spring constant for series elastic element
Slope excess energy rate and steady-state force relationship
Time
Time Domain
Shortening velocity
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