Biomimetic model of skeletal muscle isometric contraction: I. an energetic–viscoelastic model for the skeletal muscle isometric force twitch

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

doi:10.1016/s0010-4825(03)00061-1

Cited by 21 publications

(20 citation statements)

References 20 publications

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“…The sarcomeres are composed of overlapping thick and thin filaments and provide the contraction force of the cell through filament displacement, powered by cross-bridge switching by consuming ATP (38). The Hill model is a basic macroscopic model that mimics the relationship between energetic events and the intrinsic mechanical elements of skeletal muscles (39); many modified Hill-type models have been proposed to analyze the characteristics of living muscles, such as the energetic-viscoelastic model (40) and the bi-directional Hill-type muscle model (41). However, few of them focus on the mechanism of a single beating cardiomyocyte at the subcellular scale.…”

Section: Theoretical Modelmentioning

confidence: 99%

Dynamic Model for Characterizing Contractile Behaviors and Mechanical Properties of a Cardiomyocyte

Zhang

Wang

et al. 2018

Biophysical Journal

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Studies on the contractile dynamics of heart cells have attracted broad attention for the development of both heart disease therapies and cardiomyocyte-actuated micro-robotics. In this study, a linear dynamic model of a single cardiomyocyte cell was proposed at the subcellular scale to characterize the contractile behaviors of heart cells, with system parameters representing the mechanical properties of the subcellular components of living cardiomyocytes. The system parameters of the dynamic model were identified with the cellular beating pattern measured by a scanning ion conductance microscope. The experiments were implemented with cardiomyocytes in one control group and two experimental groups with the drugs cytochalasin-D or nocodazole, to identify the system parameters of the model based on scanning ion conductance microscope measurements, measurement of the cellular Young's modulus with atomic force microscopy indentation, measurement of cellular contraction forces using the micro-pillar technique, and immunofluorescence staining and imaging of the cytoskeleton. The proposed mathematical model was both indirectly and qualitatively verified by the variation in cytoskeleton, beating amplitude, and contractility of cardiomyocytes among the control and the experimental groups, as well as directly and quantitatively validated by the simulation and the significant consistency of 90.5% in the comparison between the ratios of the Young's modulus and the equivalent comprehensive cellular elasticities of cells in the experimental groups to those in the control group. Apart from mechanical properties (mass, elasticity, and viscosity) of subcellular structures, other properties of cardiomyocytes have also been studied, such as the properties of the relative action potential pattern and cellular beating frequency. This work has potential implications for research on cytobiology, drug screening, mechanisms of the heart, and cardiomyocyte-based bio-syncretic robotics.

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Section: Theoretical Modelmentioning

confidence: 99%

Dynamic Model for Characterizing Contractile Behaviors and Mechanical Properties of a Cardiomyocyte

Zhang

Wang

et al. 2018

Biophysical Journal

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“…For all the biological muscle analyses, the main variables are: (1) V(t) ¼ Neural action potential, (2) P(t) ¼ SR (sarcoplasmic reticulum) permeability to calcium ions, (3) C(t) ¼ Free sarcoplasmic calcium ion concentration, and (4) F(t) ¼ Isometric force twitch. These variables are defined more precisely by Neidhard-Doll, Phillips, Repperger, and Reynolds, (2004), and Fig. 4 displays these four variables, which are described in more detail below.…”

Section: A Biological Analogy To Build An Isometric Modelmentioning

confidence: 99%

“…The overall system (muscle and supporting enclosure) must be considered within this analysis which has to be stable and show adequate performance. Next, to demonstrate the relationship of the PM actuator to that of a biological system, a model is examined within the framework of skeletal muscle (Phillips, Repperger, Neidhard-Doll, & Reynolds, 2004).…”

Section: Introductionmentioning

confidence: 99%

Actuator design using biomimicry methods and a pneumatic muscle system

Repperger

Phillips

Neidhard-Doll

et al. 2006

Control Engineering Practice

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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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Biomimetic model of skeletal muscle isometric contraction: I. an energetic–viscoelastic model for the skeletal muscle isometric force twitch

Cited by 21 publications

References 20 publications

Dynamic Model for Characterizing Contractile Behaviors and Mechanical Properties of a Cardiomyocyte

Dynamic Model for Characterizing Contractile Behaviors and Mechanical Properties of a Cardiomyocyte

Actuator design using biomimicry methods and a pneumatic muscle system

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

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