Biomimetic model of skeletal muscle isometric contraction: II. A phenomenological model of the skeletal muscle excitation–contraction coupling process

Neidhard-Doll, Amy T.; Phillips, Carol A; Repperger, D.W.; Reynolds, David

doi:10.1016/s0010-4825(03)00062-3

Cited by 10 publications

(15 citation statements)

References 11 publications

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“…These processes, which for calcium kinetics have probably been most studied in cardiac muscle (Bers 2002), are sufficiently complex that no generally accepted detailed model relates them to overall muscle behaviour (e.g. Curtin et al 1998;Neidhard-Doll et al 2004;Shames et al 1996;Zahalak and Motabarzadeh 1997). As a result, most models concerned with non-linearity of isometric force production in skeletal muscle have used lumped equations whose parameters have a distant relation to underlying biophysics (e.g.…”

Section: Isometric Tension Versus Frequencymentioning

confidence: 99%

Response linearity determined by recruitment strategy in detailed model of nictitating membrane control

et al. 2006

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Many models of eyeblink conditioning assume that there is a simple linear relationship between the firing patterns of neurons in the interpositus nucleus and the time course of the conditioned response (CR). However, the complexities of muscle behaviour and plant dynamics call this assumption into question. We investigated the issue by implementing the most detailed model available of the rabbit nictitating membrane response (Bartha and Thompson in Biol Cybern 68:135-143, 1992a and in Biol Cybern 68:145-154, 1992b), in which each motor unit of the retractor bulbi muscle is represented by a Hill-type model, driven by a non-linear activation mechanism designed to reproduce the isometric force measurements of Lennerstrand (J Physiol 236:43-55, 1974). Globe retraction and NM extension are modelled as linked second order systems. We derived versions of the model that used a consistent set of SI units, were based on a physically realisable version of calcium kinetics, and used simulated muscle cross-bridges to produce force. All versions showed similar non-linear responses to two basic control strategies. (1) Rate-coding with no recruitment gave a sigmoidal relation between control signal and amplitude of CR, reflecting the measured relation between isometric muscle force and stimulation frequency. (2) Recruitment of similar strength motor units with no rate coding gave a sublinear relation between control signal and amplitude of CR, reflecting the increase in muscle stiffness produced by recruitment. However, the system response could be linearised by either a suitable combination of rate-coding and recruitment, or by simple recruitment of motor units in order of (exponentially) increasing strength. These plausible control strategies, either alone or in combination, would in effect present the cerebellum with the simplified virtual plant that is assumed in many models of eyeblink conditioning. Future work is therefore needed to determine the extent to which motor neuron firing is in fact linearly related to the nictitating membrane response.

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Section: Isometric Tension Versus Frequencymentioning

confidence: 99%

Response linearity determined by recruitment strategy in detailed model of nictitating membrane control

et al. 2006

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“…Activation functions corresponding to single-twitch contraction with maximum value after 5 ms [28,29], which we will use in our model, are shown in the Figure 8.…”

Section: Composite Multi-fibre Biceps Brachii Muscle Model Modellingmentioning

confidence: 99%

An extension of Hill's three‐component model to include different fibre types in finite element modelling of muscle

Stojanović

Kojić

Rosić

et al. 2006

Numerical Meth Engineering

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SUMMARYMost of the proposed versions of the Hill's model use a sliding-element theory, considering a single sarcomere. However, a muscle represents a collection of different fibre types with a large range in contractile properties among them. An extension of Hill's three-component model is proposed here to take into account different fibre types. We present a model consisting of a number of sarcomeras of different types coupled in parallel with the connective tissue. Each sarcomere is modelled by one non-linear elastic element connected in series with one non-linear contractile element.Using the finite element method, in an incremental-iterative scheme of calculating equilibrium configurations of a muscle, the key step is the determination of stresses corresponding to strain increments. The stress calculation procedure for the extended Hill's model is reduced to the solution of a number of independent non-linear equations with respect to the stretch increments of the serial elastic elements in each sarcomere.Since the distribution of the specific fibre type is non-uniform over the muscle volume, we have material heterogeneity which we modelled by using the so-called 'Generalized Isoparametric Element Formulation' for functionally graded materials (FGMs).The proposed computational scheme is built in our FE package PAK, so that muscles of complex three-dimensional shapes can be modelled. In numerical examples, we illustrate the main characteristics of the developed numerical model and some possibilities of realistic modelling of muscle functioning.

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“…5 for a slow twitch muscle. In Phillips et al [22][23][24], three basic means of synthesizing force have been investigated with the PM system. Since brevity must be the style here, they are succinctly outlined as follows: (a) controller 1-temporal recruitment, (b) controller 2-spatial recruitment, and (c) controller 3-biomimicry emulation.…”

Section: Three Controller Designs For the Pm Systemmentioning

confidence: 99%

“…Refs. [23,24] describe, in more detail, the differential equations of the formulation of this physical process.…”

Section: Three Controller Designs For the Pm Systemmentioning

confidence: 99%

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Power/energy metrics for controller evaluation of actuators similar to biological systems

Repperger¹,

Phillips²,

Neidhard-Doll³

et al. 2005

Mechatronics

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Biomimetic model of skeletal muscle isometric contraction: II. A phenomenological model of the skeletal muscle excitation–contraction coupling process

Cited by 10 publications

References 11 publications

Response linearity determined by recruitment strategy in detailed model of nictitating membrane control

Response linearity determined by recruitment strategy in detailed model of nictitating membrane control

An extension of Hill's three‐component model to include different fibre types in finite element modelling of muscle

Power/energy metrics for controller evaluation of actuators similar to biological systems

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