Muscle Models - Hill Type Model Quiz
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Questions and Answers

Which of the following is NOT one of the 4 ways to perform reference frame calibration according to the text?

  • Markers aligned with known orientation, or reference pose (static trial)
  • Use additional marker calibration/probing (static trial)
  • Use joint based functional axis or points (correct)
  • Markers on meaningful locations, like bony landmarks
  • What is the relationship between muscle size (mass) and muscle force?

  • Muscle force follows a linear-logarithmic scale with a dropoff at the end as muscle mass increases (correct)
  • Muscle force is directly proportional to muscle mass
  • Muscle force is inversely proportional to muscle mass
  • There is no relationship between muscle size and muscle force
  • What is the main role of muscle cells according to the text?

  • Motor/actuator for mobility (correct)
  • Bloodsugar homeostasis
  • Cell motility and spontaneous movement
  • Protein buffering to protect vital organs
  • What is the transformation matrix notation described in the text?

    <p>Rotation matrix R = Rz<em>Ry</em>Rx</p> Signup and view all the answers

    What is one of the general aspects of the muscle organ besides being a motor/actuator for mobility?

    <p>Circulating blood, lymph or aiding digestion</p> Signup and view all the answers

    What does the text state is the 'driving force' behind cell motility (spontaneous cell movement)?

    <p>Consumption of energy</p> Signup and view all the answers

    What is the hierarchy in form and function of muscles?

    <p>Myosin, actin, and other contractile proteins</p> Signup and view all the answers

    What does the text state about the effect of training and increased usage on muscles?

    <p>It leads to better blood circulation and muscle growth</p> Signup and view all the answers

    Which of the following is NOT listed as a general aspect of the muscle organ in the text?

    <p>Facilitating digestion</p> Signup and view all the answers

    What is the relationship between body development, age, and muscle form and function?

    <p>Body development and age form a constraint, with a rise and fall over time</p> Signup and view all the answers

    Study Notes

    Muscle Models

    • Muscle parameters include area, length, dynamic parameters, and pennation angle.
    • Hill's equation: (Force+a)*(speed+b) = b(Isometric tetanic force+a) describes muscle dynamics.

    Force-Velocity Relationship vs Force-Length Relationship

    • Muscle models can be classified into two types: Hill type model and Huxley's Cross-Bridge Model.
    • Hill type model:
      • Sarcomere (CE) force is in series and in parallel with elastic structures (fascia's, PE and SE) depending on tendon length.
      • Critical notes:
        • Large number of unknown parameters for each muscle.
        • Negative stiffness in F-L characteristic.
        • Assumes F-L and F-v characteristics are independent.
        • Parameters are assumed constant, no history dependence.
        • Short Range Stiffness does not emerge!
        • No link to microscopic mechanisms.
    • Huxley's Cross-Bridge Model:
      • Attachment and detachment rate functions f and g describe probabilities → fraction of attached cross-bridges n(x,t) per length x.
      • Includes Short Range Stiffness and historical dependence.
      • Explains F-V curve and predicts ATP consumption from CB detachment.

    Optimization of Muscle Forces

    • More muscles present than Degrees of Freedom (600 -200), resulting in many combinations of muscle force producing the same joint moment.
    • Muscle fiber dynamics are modeled as their moment arms around the joints, cross-area, and pennation angles.

    Muscle Morphology and Physiology

    • Skeletal muscles:
      • Each muscle is an organ.
      • Each fiber has its own nuclei.
      • Adaptation to load.
      • Cell Regeneration.
      • Striated Microscopic pattern.
      • Voluntary / Involuntary controlled.
      • Attaches to bone, fascia, and skin.
      • ~40% of body mass.
    • Force build-up:
      • First type I, then type II.
      • Force increases with number of motor units and frequency of stimulation.
      • Force buildup evolves in three distinct phases:
        • Excitation: Action potential from nerve system along muscle fiber.
        • Activation: Fast release of Ca2+ (20ms) from voltage difference.
        • Contraction: Action-Myosin interaction by means of the Cross-Bridge Cycle.
    • Sarcomere Force-Length relationship:
      • Constant length = isometric.
      • Sarcomeres have a minimal length from which force increases quickly to the maximum, where there is a total overlap of actin and Myosin, after which the force will decrease until 0 where no overlap is anymore.

    Muscle Form & Function

    • Constraints on muscles:
      • Mobility and size → muscle force (m2) vs mass (m3).
      • Body development and age form a constraint.
      • Training and more usage will give better blood circulation and muscle growth.
    • General Aspects of the muscle organ:
      • Motor/actuator for mobility.
      • Circulation of the blood, lymph, or digestion.
      • Heating of the body (mechanical).
      • Protein buffer to protect vital organs.
      • Blood sugar homeostasis.
      • Cell motility (spontaneous movement of a cell from one location to another by consumption of energy) is the driving force.
      • Same proteins are involved in non-muscles as in muscle cells.
    • Hierarchy in form and function:
      • Myosin: Molecular motor which is the ‘grabbing’ head in a Cross-Bridge with actin.

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    Description

    Test your knowledge on muscle models, including the Hill type model which describes sarcomere force in series and parallel. Topics covered include muscle dynamics, force-velocity relationship, force-length relationship, and Hills equation. Get ready to dive into the complexities of muscle parameters and models!

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