Nonparametric Model of Smooth Muscle Force Production During Electrical Stimulation

A nonparametric model of smooth muscle tension response to electrical stimulation was estimated using the Laguerre expansion technique of nonlinear system kernel estimation. The experimental data consisted of force responses of smooth muscle to energy-matched alternating single pulse and burst current stimuli. The burst stimuli led to at least a 10-fold increase in peak force in smooth muscle from Mytilus edulis, despite the constant energy constraint. A linear model did not fit the data. However, a second-order model fit the data accurately, so the higher-order models were not required to fit the data. Results showed that smooth muscle force response is not linearly related to the stimulation power.

[1]  David Elad,et al.  Mathematical model of excitation-contraction in a uterine smooth muscle cell. , 2007, American journal of physiology. Cell physiology.

[2]  S. M. Sims,et al.  Calcium Sensitization in Human Esophageal Muscle: Role for RhoA Kinase in Maintenance of Lower Esophageal Sphincter Tone , 2008, Journal of Pharmacology and Experimental Therapeutics.

[3]  Vasilis Z. Marmarelis,et al.  Nonlinear Analysis of Neuronal Systems , 1999 .

[4]  Emiliano Rustighi,et al.  A comparison of models of the isometric force of locust skeletal muscle in response to pulse train inputs , 2012, Biomechanics and modeling in mechanobiology.

[5]  L. F. Frey Law,et al.  Predicting human chronically paralyzed muscle force: a comparison of three mathematical models. , 2006, Journal of applied physiology.

[6]  S. Wray,et al.  Properties of voltage‐activated [Ca2+]i transients in single smooth muscle cells isolated from pregnant rat uterus , 1998, The Journal of physiology.

[7]  Y. Muneoka,et al.  Neurotransmitter action on the membrane of Mytilus smooth muscle--III. Serotonin. , 1977, General pharmacology.

[8]  H. Leenders.  Ca‐coupling in the anterior byssal retractor muscle of Mytilus edulis L , 1967, The Journal of physiology.

[9]  A. Pullan,et al.  Effects of electrical stimulation on isolated rodent gastric smooth muscle cells evaluated via a joint computational simulation and experimental approach. , 2009, American journal of physiology. Gastrointestinal and liver physiology.

[10]  H. Sugi,et al.  Localization of calcium‐accumulating structures in the anterior byssal retractor muscle of Mytilus edulis and their role in the regulation of active and catch contractions. , 1976, The Journal of physiology.

[11]  F. R. Winton.  The changes in viscosity of an unstriated muscle (Mytilus edulis) during and after stimulation with alternating, interrupted and uninterrupted direct currents , 1937, The Journal of physiology.

[12]  F. Fay.  Isometric contractile properties of single isolated smooth muscle cells , 1977, Nature.

[13]  Skinned smooth muscle: Time course of force and ATPase activity during contraction cycle , 1984, Experientia.

[14]  M. J. Siegman,et al.  Twitchin as a regulator of catch contraction in molluscan smooth muscle , 2006, Journal of Muscle Research & Cell Motility.

[15]  Stefan Galler,et al.  Molecular basis of the catch state in molluscan smooth muscles: a catchy challenge , 2008, Journal of Muscle Research and Cell Motility.

[16]  Marion J. Siegman,et al.  Mechanism of Catch Force: Tethering of Thick and Thin Filaments by Twitchin , 2010, Journal of biomedicine & biotechnology.

[17]  Vasilis Z. Marmarelis,et al.  Nonlinear Dynamic Modeling of Physiological Systems: Marmarelis/Nonlinear , 2004 .

[18]  B. Twarog.  Excitation of Mytilus smooth muscle , 1967, The Journal of physiology.