Simulation of Cardiac Cell-Seeded Membranes Using the Edge-Based Smoothed FEM. Frotscher, R., Goßmann, M., Raatschen, H., Temiz-Artmann, A., & Staat, M. In Altenbach, H. & Mikhasev, G. I., editors, Shell and Membrane Theories in Mechanics and Biology: From Macro- to Nanoscale Structures, volume 45, of Advanced Structured Materials, pages 187–212. Springer, Cham, Heidelberg, 2015. ZSCC: NoCitationData[s0]
Simulation of Cardiac Cell-Seeded Membranes Using the Edge-Based Smoothed FEM [link]Paper  doi  abstract   bibtex   
We present an electromechanically coupled Finite Element model for cardiac tissue. It bases on the mechanical model for cardiac tissue of Hunter et al. that we couple to the McAllister-Noble-Tsien electrophysiological model of purkinje fibre cells. The corresponding system of ordinary differential equations is implemented on the level of the constitutive equations in a geometrically and physically nonlinear version of the so-called edge-based smoothed FEMfor plates. Mechanical material parameters are determined from our own pressure-deflection experimental setup. The main purpose of the model is to further examine the experimental results not only on mechanical but also on electrophysiological level down to ion channel gates. Moreover, we present first drug treatment simulations and validate the model with respect to the experiments.
@incollection{frotscher_simulation_2015,
	address = {Cham, Heidelberg},
	series = {Advanced {Structured} {Materials}},
	title = {Simulation of {Cardiac} {Cell}-{Seeded} {Membranes} {Using} the {Edge}-{Based} {Smoothed} {FEM}},
	volume = {45},
	copyright = {All rights reserved},
	isbn = {978-3-319-02534-6},
	url = {http://link.springer.com/chapter/10.1007/978-3-319-02535-3_11 http://link.springer.com/10.1007/978-3-319-02535-3_11},
	abstract = {We present an electromechanically coupled Finite Element model for cardiac tissue. It bases on the mechanical model for cardiac tissue of Hunter et al. that we couple to the McAllister-Noble-Tsien electrophysiological model of purkinje fibre cells. The corresponding system of ordinary differential equations is implemented on the level of the constitutive equations in a geometrically and physically nonlinear version of the so-called edge-based smoothed FEMfor plates. Mechanical material parameters are determined from our own pressure-deflection experimental setup. The main purpose of the model is to further examine the experimental results not only on mechanical but also on electrophysiological level down to ion channel gates. Moreover, we present first drug treatment simulations and validate the model with respect to the experiments.},
	booktitle = {Shell and {Membrane} {Theories} in {Mechanics} and {Biology}: {From} {Macro}- to {Nanoscale} {Structures}},
	publisher = {Springer},
	author = {Frotscher, Ralf and Goßmann, Matthias and Raatschen, Hans-Jürgen and Temiz-Artmann, Ayşegül and Staat, Manfred},
	editor = {Altenbach, Holm and Mikhasev, Gennadi I.},
	year = {2015},
	doi = {10.1007/978-3-319-02535-3_11},
	note = {ZSCC: NoCitationData[s0] },
	pages = {187--212},
}

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