A constitutive model for smooth muscle including active tone and passive viscoelastic behaviour

Kroon, Martin

doi:10.1093/imammb/dqp017

Cited by 31 publications

(28 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We therefore chose not to include smooth muscle activity (Zulliger et al 2004b;Valentin et al 2009;Kroon 2010), a layered structure (Wang et al 2006), and more realistic fiber distributions (Gasser et al 2006). Following Holzapfel et al (2000), the artery is modeled as an incompressible, thick-walled, fiber-reinforced cylinder.…”

Section: Constitutive Modelmentioning

confidence: 99%

The fiber orientation in the coronary arterial wall at physiological loading evaluated with a two-fiber constitutive model

Horst

Broek

Vosse

et al. 2011

Biomech Model Mechanobiol

View full text Add to dashboard Cite

A patient-specific mechanical description of the coronary arterial wall is indispensable for individualized diagnosis and treatment of coronary artery disease. A way to determine the artery's mechanical properties is to fit the parameters of a constitutive model to patient-specific experimental data. Clinical data, however, essentially lack information about the stress-free geometry of an artery, which is necessary for constitutive modeling. In previous research, it has been shown that a way to circumvent this problem is to impose extra modeling constraints on the parameter estimation procedure. In this study, we propose a new modeling constraint concerning the in-situ fiber orientation (β phys ). β phys , which is a major contributor to the arterial stress-strain behavior, was determined for porcine and human coronary arteries using a mixed numerical-experimental method. The in-situ situation was mimicked using in-vitro experiments at a physiological axial pre-stretch, in which pressure-radius and pressure-axial force were measured. A single-layered, hyperelastic, thick-walled, two-fiber material model was accurately fitted to the experimental data, enabling the computation of stress, strain, and fiber orientation. β phys was found to be almost equal for all vessels measured (36.4 ± 0.3) • , which theoretically can be explained using netting analysis. In further research, this finding can be used as an extra modeling constraint in parameter estimation from clinical data.

show abstract

Section: Constitutive Modelmentioning

confidence: 99%

The fiber orientation in the coronary arterial wall at physiological loading evaluated with a two-fiber constitutive model

Horst

Broek

Vosse

et al. 2011

Biomech Model Mechanobiol

View full text Add to dashboard Cite

show abstract

“…mathematical model; contractile unit; sliding-filament mechanism THE STRUCTURE OF THE CONTRACTILE unit in smooth muscle is unknown, despite the common belief that the cycling-crossbridge/sliding-filament mechanism of contraction, which operates in striated muscle, is also responsible for smooth muscle contraction. The predominant model for the sarcomere-equivalent contractile unit in smooth muscle is a side-polar myosin (thick) filament sandwiched by two oppositely oriented actin (thin) filaments, each attached to a dense body that is believed to function like a Z disk in striated muscle (18,21,27), as shown in Fig. 1.…”

mentioning

confidence: 99%

“…The predominant model for the sarcomere-equivalent contractile unit in smooth muscle is a side-polar myosin (thick) filament sandwiched by two oppositely oriented actin (thin) filaments, each attached to a dense body that is believed to function like a Z disk in striated muscle (18,21,27), as shown in Fig. 1.…”

mentioning

confidence: 99%

Time course of isotonic shortening and the underlying contraction mechanism in airway smooth muscle

Syyong

Raqeeb

Paré

et al. 2011

Journal of Applied Physiology

View full text Add to dashboard Cite

Syyong HT, Raqeeb A, Paré PD, Seow CY. Time course of isotonic shortening and the underlying contraction mechanism in airway smooth muscle. J Appl Physiol 111: 642-656, 2011. First published June 2, 2011; doi:10.1152/japplphysiol.00085.2011.-Although the structure of the contractile unit in smooth muscle is poorly understood, some of the mechanical properties of the muscle suggest that a sliding-filament mechanism, similar to that in striated muscle, is also operative in smooth muscle. To test the applicability of this mechanism to smooth muscle function, we have constructed a mathematical model based on a hypothetical structure of the smooth muscle contractile unit: a side-polar myosin filament sandwiched by actin filaments, each attached to the equivalent of a Z disk. Model prediction of isotonic shortening as a function of time was compared with data from experiments using ovine tracheal smooth muscle. After equilibration and establishment of in situ length, the muscle was stimulated with ACh (100 M) until force reached a plateau. The muscle was then allowed to shorten isotonically against various loads. From the experimental records, length-force and force-velocity relationships were obtained. Integration of the hyperbolic force-velocity relationship and the linear length-force relationship yielded an exponential function that approximated the time course of isotonic shortening generated by the modeled sliding-filament mechanism. However, to obtain an accurate fit, it was necessary to incorporate a viscoelastic element in series with the sliding-filament mechanism. The results suggest that a large portion of the shortening is due to filament sliding associated with muscle activation and that a small portion is due to continued deformation associated with an element that shows viscoelastic or power-law creep after a step change in force. mathematical model; contractile unit; sliding-filament mechanism THE STRUCTURE OF THE CONTRACTILE unit in smooth muscle is unknown, despite the common belief that the cycling-crossbridge/sliding-filament mechanism of contraction, which operates in striated muscle, is also responsible for smooth muscle contraction. The predominant model for the sarcomere-equivalent contractile unit in smooth muscle is a side-polar myosin (thick) filament sandwiched by two oppositely oriented actin (thin) filaments, each attached to a dense body that is believed to function like a Z disk in striated muscle (18,21,27), as shown in Fig. 1. An important assumption associated with the model is that the sliding of the thick and thin filaments relative to each other is caused by repetitive interaction of the myosin heads (cross bridges) of the thick filament with the thin filaments, in the same manner described for striated muscle (22,23). Such a cross-bridge mechanism for smooth muscle myosin has been observed in experiments where the interaction of isolated individual myosin heads with thin filaments was visualized and quantified directly (14, 15, 28). As predicted by Huxley's 1957 model (22), the ...

show abstract

“…The active contribution to the free energy is scaled by an actomyosin overlap function and is dependent on the active stretch. Kroon (2010) suggested a similar, but simpler, model of smooth muscle behavior and the resulting constitutive relation is compared to data found in the literature. These studies all base the biochemical activation on a four-state model proposed by Hai and Murphy (1988), which accounts for the actin and myosin interactions in smooth muscle cells.…”

Section: Introductionmentioning

confidence: 99%

Modeling Bioactive Materials

Dorfmann

Paetsch

2015

Nonlinear Mechanics of Soft Fibrous Materials

View full text Add to dashboard Cite

Abstract. In this chapter we examine the mechanical properties of the ventral interior lateral muscle of the tobacco hornworm caterpillar, Manduca sexta. Uniaxial loading-unloading shows that the tissue is capable of large nonlinear pseudo-elastic deformations, has a hysteretic behavior and displays stress softening during the first few cycles of repeated loading. The data are used to develop a constitutive model that accounts for the observed material response, including a continuous transition from passive to active states. We consider the material initially incompressible, pseudo-elastic and transversely isotropic with preferred orientation parallel to the longitudinal direction of the muscle. The constitutive formulation is then generalized to account for slightly compressible materials and adapted for finite element implementation. The corresponding incremental equations and the associated isochoric and volumetric parts of the elasticity tensor are derived. To account for pseudoelasticty, the isochoric part is modified accordingly. The simulation of a bio-actuated micro-pump is used to validate and demonstrate the capability of the model.

show abstract

A constitutive model for smooth muscle including active tone and passive viscoelastic behaviour

Cited by 31 publications

References 0 publications

The fiber orientation in the coronary arterial wall at physiological loading evaluated with a two-fiber constitutive model

The fiber orientation in the coronary arterial wall at physiological loading evaluated with a two-fiber constitutive model

Time course of isotonic shortening and the underlying contraction mechanism in airway smooth muscle

Modeling Bioactive Materials

Contact Info

Product

Resources

About