Hill muscle model

E665246

The Hill muscle model is a widely used mathematical representation of muscle contraction dynamics that relates muscle force, length, and velocity based on A. V. Hill’s experimental findings.

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Hill muscle model canonical 1

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Predicate Object
instanceOf biomechanical model
mathematical model
muscle contraction model
advantage computational efficiency
suitability for large-scale musculoskeletal models
alsoKnownAs Hill-type muscle model NERFINISHED
appliedTo cardiac muscle
skeletal muscle
approximates macroscopic behavior of muscle-tendon unit
assumes lumped-parameter representation of muscle-tendon unit
basedOn A. V. Hill’s experimental findings
captures activation dynamics of muscle
force–length relationship of muscle
force–velocity relationship of muscle
component contractile element
parallel elastic element
series elastic element
describes muscle contraction dynamics
relationship between muscle force and contraction velocity
relationship between muscle force and muscle length
extendedBy Huxley-type cross-bridge models NERFINISHED
three-dimensional finite element muscle models
field biomechanics
computational biomechanics
motor control
muscle physiology
influencedBy A. V. Hill’s 1938 work on heat and shortening in muscle
limitation limited representation of microscopic muscle structure
phenomenological nature
mathematicalForm algebraic equations
differential equations
namedAfter Archibald Vivian Hill NERFINISHED
originatesFrom 20th century muscle physiology research
parameter activation time constant
deactivation time constant
maximum isometric force
optimal fiber length
pennation angle
tendon slack length
simplifies underlying cross-bridge mechanics
usedIn ergonomics
gait analysis
musculoskeletal simulation
neuromuscular control modeling
orthotics design
prosthetics design
robotics
sports biomechanics

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A. V. Hill notableWork Hill muscle model