Academic literature on the topic 'Monodomain'

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Journal articles on the topic "Monodomain"

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Coudière, Yves, Yves Bourgault, and Myriam Rioux. "Optimal monodomain approximations of the bidomain equations used in cardiac electrophysiology." Mathematical Models and Methods in Applied Sciences 24, no. 06 (2014): 1115–40. http://dx.doi.org/10.1142/s0218202513500784.

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The bidomain model is the current most sophisticated model used in cardiac electrophysiology. The monodomain model is a simplification of the bidomain model that is less computationally intensive but only valid under equal conductivity ratio. We propose in this paper optimal monodomain approximations of the bidomain model. We first prove that the error between the bidomain and monodomain solutions is bounded by the error ‖B - A‖ between the bidomain and monodomain conductivity operators. Optimal monodomain approximations are defined by minimizing the distance ‖B - A‖, which reduces for solutio
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Fan, Wei, Zhijian Wang, and Shengqiang Cai. "Rupture of Polydomain and Monodomain Liquid Crystal Elastomer." International Journal of Applied Mechanics 08, no. 07 (2016): 1640001. http://dx.doi.org/10.1142/s1758825116400019.

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Liquid crystal elastomer (LCE) has been recently explored extensively to make diverse active structures and devices. Depending on synthetic process, LCE can be made either polydomain or monodomain when ambient temperature is below isotropic clearing temperature. In the applications, LCE may be subjected to large mechanical stretch or force and break apart. The capability of predicting the rupture of LCE under different loading conditions is crucial for the applications. However, according to our knowledge, there is no report on fracture energy measurement of LCE. In this paper, we measured fra
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Ng, Kin Wei, and Ahmad Rohanin. "Solving Optimal Control Problem of Monodomain Model Using Hybrid Conjugate Gradient Methods." Mathematical Problems in Engineering 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/734070.

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We present the numerical solutions for the PDE-constrained optimization problem arising in cardiac electrophysiology, that is, the optimal control problem of monodomain model. The optimal control problem of monodomain model is a nonlinear optimization problem that is constrained by the monodomain model. The monodomain model consists of a parabolic partial differential equation coupled to a system of nonlinear ordinary differential equations, which has been widely used for simulating cardiac electrical activity. Our control objective is to dampen the excitation wavefront using optimal applied e
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Hernández Montero, Ozkar, Andrés Fraguela Collar, and Raúl Felipe Sosa. "Existence of global solutions in a model of electrical activity of the monodomain type for a ventricle." Nova Scientia 10, no. 21 (2018): 17–44. http://dx.doi.org/10.21640/ns.v10i21.1531.

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Introduction: A monodomain model of electrical activity for an isolated ventricle is formulated. This model is written as a reaction diffusion PDE coupled to an ODE, The Rogers-Mculloch model is used to represent the electrical activity through the cell membrane. Method: We give a definition of weak and strong solution of the variational Cauchy problem associated to the monodomain model. A sequence of approximate solutions of Faedo-Galerkin type is proposed.Results: It is shown that the sequence of approximate solutions converge to a weak solution according to the proposed definition. Finally,
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Zhang, Heye, Huajun Ye, and Wenhua Huang. "A Meshfree Method for Simulating Myocardial Electrical Activity." Computational and Mathematical Methods in Medicine 2012 (2012): 1–16. http://dx.doi.org/10.1155/2012/936243.

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An element-free Galerkin method (EFGM) is proposed to simulate the propagation of myocardial electrical activation without explicit mesh constraints using a monodomain model. In our framework the geometry of myocardium is first defined by a meshfree particle representation that is, a sufficient number of sample nodes without explicit connectivities are placed in and inside the surface of myocardium. Fiber orientations and other material properties of myocardium are then attached to sample nodes according to their geometrical locations, and over the meshfree particle representation spatial vari
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Yang, Jiajia, Weidong Zhao, Zhou Yang, et al. "Printable photonic polymer coating based on a monodomain blue phase liquid crystal network." Journal of Materials Chemistry C 7, no. 44 (2019): 13764–69. http://dx.doi.org/10.1039/c9tc05052c.

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Khan, Riasat, and Kwong T. Ng. "Numerical study of POD-Galerkin-DEIM reduced order modeling of cardiac monodomain formulation." Biomedical Physics & Engineering Express 8, no. 1 (2021): 015012. http://dx.doi.org/10.1088/2057-1976/ac3c0b.

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Abstract The three-dimensional cardiac monodomain model with inhomogeneous and anisotropic conductivity characterizes a complicated system that contains spatial and temporal approximation coefficients along with a nonlinear ionic current term. These complexities make its numerical modeling computationally challenging, and therefore, the formation of an efficient computational approximation is important for studying cardiac propagation. In this paper, a reduced order modeling approach has been developed for the simplified cardiac monodomain model, which yields a significant reduction of the ful
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GRELL, M., M. REDECKER, K. S. WHITEHEAD, D. D. C. BRADLEY, M. INBASEKARAN, and E. P. WOO. "Monodomain alignment of thermotropic fluorene copolymers." Liquid Crystals 26, no. 9 (1999): 1403–7. http://dx.doi.org/10.1080/026782999204084.

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Fridrikh, S. V., and E. M. Terentjev. "Polydomain-monodomain transition in nematic elastomers." Physical Review E 60, no. 2 (1999): 1847–57. http://dx.doi.org/10.1103/physreve.60.1847.

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Förster, A., H. Hesse, S. Kapphan, and M. Wöhlecke. "OH stretching vibrations in monodomain KNbO3." Solid State Communications 57, no. 5 (1986): 373–75. http://dx.doi.org/10.1016/0038-1098(86)90110-9.

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Dissertations / Theses on the topic "Monodomain"

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Choi, Jinsub. "Fabrication of monodomain porous alumina using nanoimprint lithography and its applications." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=970954050.

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Boey, Edward. "Anisotropic Residual-Based Mesh Adaptation for Reaction-Diffusion Systems: Applications to Cardiac Electrophysiology." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/35614.

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Accurate numerical simulation of reaction-diffusion systems can come with a high cost. A system may be stiff, and solutions may exhibit sharp localized features that require fine grids and small time steps to properly resolve the physical phenomena they represent. The development of efficient methods is crucial to cut down the demands of computational resources. In this thesis we consider the use of adaptive space and time methods driven by a posteriori error estimation. The error estimators for the spatial discretization are built from a variety of sources: the residual of the partial diff
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Cloherty, Shaun Liam Graduate School of Biomedical Engineering Faculty of Engineering UNSW. "Cellular interaction in the cardiac pacemaker: a modelling study." Awarded by:University of New South Wales. Graduate School of Biomedical Engineering, 2005. http://handle.unsw.edu.au/1959.4/22512.

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In mammalian hearts, initiation of the heartbeat occurs in a region of specialised pacemaker cells known as the sinoatrial node (SAN). The SAN is a highly complex spatially distributed structure which displays considerable cellular heterogeneity and is subject to complex electrotonic interactions with the surrounding atrial tissue. In this study, biophysically detailed ionic models of central and peripheral SAN pacemaker cells are described. These models are able to accurately reproduce experimental recordings of the membrane potential from central and peripheral SAN tissue. These models are
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Běleja, Marek. "Modelování šíření akčního potenciálu v myokardu." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2012. http://www.nusl.cz/ntk/nusl-219639.

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The work deals with the foundations of bioelectric phenomena cardiomyocyte, then it is also part of this description of the heart conduction system and method of distribution in this system The next section is a description of the spread in the system, the very essence of the spread. In the last chapter analyzes the theory for the creation of computational models, which extend in one dimension or two dimensions
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Douanla, Lontsi Charlie. "Schémas d'ordre élevé pour des simulations réalistes en électrophysiologie cardiaque." Thesis, Bordeaux, 2017. http://www.theses.fr/2017BORD0752/document.

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Les simulations numériques réalistes en électrophysiologie cardiaque ont un coût de calcul extrêmement élevé. Ce coût s’explique en grande partie par la raideur, à la fois en temps et en espace, d’une onde de « potentiel d’action » (PA). Par ailleurs, les phénomènes observés sont très instationnaires et s’étudient en temps long. Une description précise de la dynamique des PA est cruciale pour construire des modèles numériques pertinents d’un point de vue médical ou clinique. Cet aspect fondamental ne peut être contourné dans les études numériques réalistes.La raideur de l’onde de PA ne peut êt
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Campos, Joventino de Oliveira. "Método de lattice Boltzmann para simulação da eletrofisiologia cardíaca em paralelo usando GPU." Universidade Federal de Juiz de Fora (UFJF), 2015. https://repositorio.ufjf.br/jspui/handle/ufjf/3555.

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Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-03-06T20:24:42Z No. of bitstreams: 1 joventinodeoliveiracampos.pdf: 3604904 bytes, checksum: aca8053f097ddcb9d96ba51186838610 (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-03-06T20:27:39Z (GMT) No. of bitstreams: 1 joventinodeoliveiracampos.pdf: 3604904 bytes, checksum: aca8053f097ddcb9d96ba51186838610 (MD5)<br>Made available in DSpace on 2017-03-06T20:27:39Z (GMT). No. of bitstreams: 1 joventinodeoliveiracampos.pdf: 3604904 bytes, checksum: aca8053f097ddcb9d96ba51186838610 (MD5)
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Souza, Daniel Moutinho de. "Avaliação da influência da estrutura vascular no processo de desfibrilação cardíaca via simulações computacionais." Universidade Federal de Juiz de Fora (UFJF), 2017. https://repositorio.ufjf.br/jspui/handle/ufjf/6090.

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Submitted by Geandra Rodrigues (geandrar@gmail.com) on 2018-01-11T14:38:55Z No. of bitstreams: 1 danielmoutinhodesouza.pdf: 14087574 bytes, checksum: 14fbe9db31be8496c781a98af92ca3fd (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2018-01-23T13:42:47Z (GMT) No. of bitstreams: 1 danielmoutinhodesouza.pdf: 14087574 bytes, checksum: 14fbe9db31be8496c781a98af92ca3fd (MD5)<br>Made available in DSpace on 2018-01-23T13:42:47Z (GMT). No. of bitstreams: 1 danielmoutinhodesouza.pdf: 14087574 bytes, checksum: 14fbe9db31be8496c781a98af92ca3fd (MD5) Previous
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Arthurs, Christopher J. "Efficient simulation of cardiac electrical propagation using adaptive high-order finite elements." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:ad31f06f-c4ed-4c48-b978-1ef3b12fe7a1.

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This thesis investigates the high-order hierarchical finite element method, also known as the finite element p-version, as a computationally-efficient technique for generating numerical solutions to the cardiac monodomain equation. We first present it as a uniform-order method, and through an a priori error bound we explain why the associated cardiac cell model must be thought of as a PDE and approximated to high-order in order to obtain the accuracy that the p-version is capable of. We perform simulations demonstrating that the achieved error agrees very well with the a priori error bound. Fu
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Gu, Dongfeng. "The viscoelastic properties of nematic monodomains containing liquid crystal polymers." Case Western Reserve University School of Graduate Studies / OhioLINK, 1994. http://rave.ohiolink.edu/etdc/view?acc_num=case1057759399.

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Reeves, Sarah J. "Novel routes for the formation of liquid crystal polymer and elastomer monodomains." Thesis, University of Reading, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.412186.

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Book chapters on the topic "Monodomain"

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Mirshekari, Elham, and Raymond J. Spiteri. "Extending BACOLI to Solve the Monodomain Model." In Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30379-6_41.

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Franzone, Piero Colli, Luca F. Pavarino, and Simone Scacchi. "Reduced Macroscopic Models: The Monodomain and Eikonal Models." In MS&A. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04801-7_4.

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Hennion, Bernard, and Marguerite Quilichini. "Experimental Determination of the Dispersion of Vibrations in Monodomain Quasicrystalline Alloys." In Quasicrystals. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-05028-6_22.

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Nagaiah, Ch, K. Kunisch, and G. Plank. "Numerical Solutions for Optimal Control of Monodomain Equations in Cardiac Electrophysiology." In Recent Advances in Optimization and its Applications in Engineering. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12598-0_35.

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Cervi, Jessica, and Raymond J. Spiteri. "High-Order Operator-Splitting Methods for the Bidomain and Monodomain Models." In SEMA SIMAI Springer Series. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96649-6_2.

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Sachetto Oliveira, Rafael, Bernardo Martins Rocha, Ronan Mendonça Amorim, et al. "Comparing CUDA, OpenCL and OpenGL Implementations of the Cardiac Monodomain Equations." In Parallel Processing and Applied Mathematics. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-31500-8_12.

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Alqasemi, Maryam, and Youssef Belhamadia. "A Semi-implicit Backward Differentiation ADI Method for Solving Monodomain Model." In Computational Science – ICCS 2021. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77977-1_43.

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Franzone, Piero Colli, Luca F. Pavarino, and Bruno Taccardi. "Monodomain Simulations of Excitation and Recovery in Cardiac Blocks with Intramural Heterogeneity." In Functional Imaging and Modeling of the Heart. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11494621_27.

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Ogiermann, Dennis, Daniel Balzani, and Luigi E. Perotti. "The Effect of Modeling Assumptions on the ECG in Monodomain and Bidomain Simulations." In Functional Imaging and Modeling of the Heart. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78710-3_48.

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Emamy, Nehzat, Pascal Litty, Thomas Klotz, Miriam Mehl, and Oliver Röhrle. "POD-DEIM Model Order Reduction for the Monodomain Reaction-Diffusion Sub-Model of the Neuro-Muscular System." In IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-21013-7_13.

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Conference papers on the topic "Monodomain"

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Ujiie, Seiji, Yumi Yano, Akira Mori, and Kazuyoshi Iimura. "Preparation of LC monodomain structures in polymer systems." In International Symposium on Optical Science and Technology, edited by Iam-Choon Khoo. SPIE, 2002. http://dx.doi.org/10.1117/12.453298.

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Belhamadia, Youssef, Thomas Briffard, and André Fortin. "Application of parallel anisotropic mesh adaptation for solving monodomain cardiac model." In INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2020. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0047870.

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Mazur, Leszek Mateusz, Shan Liu, Xin Chen, Wieslaw Krolikowski, and Yan Sheng. "Femtosecond Laser Ferroelectric Domains Reversal in Monodomain Calcium Barium Niobate Crystal." In Frontiers in Optics. OSA, 2021. http://dx.doi.org/10.1364/fio.2021.jtu1a.15.

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Potse, Mark, Bruno Dube, Alain Vinet, and Rene Cardinal. "A comparison of monodomain and bidomain propagation models for the human heart." In Conference Proceedings. Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, 2006. http://dx.doi.org/10.1109/iembs.2006.4398300.

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Potse, Mark, Bruno Dube, Alain Vinet, and Rene Cardinal. "A comparison of monodomain and bidomain propagation models for the human heart." In Conference Proceedings. Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, 2006. http://dx.doi.org/10.1109/iembs.2006.259484.

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Lopez Rincon, Alejandro, Mostafa Bendahmane, and Bedreddine Ainseba. "Computing the electrical activity of the heart with a dynamic inverse monodomain operator." In 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC). IEEE, 2013. http://dx.doi.org/10.1109/embc.2013.6610371.

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Neculae, Adrian, Marius Paulescu, and Dan Curticapean. "Modeling and numerical simulation of the transport processes inside DSSC using a monodomain approach." In Photonics Europe, edited by Andreas Gombert. SPIE, 2008. http://dx.doi.org/10.1117/12.779264.

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Mendonca Costa, Caroline, and R. Weber dos Santos. "Limitations of the homogenized cardiac Monodomain model for the case of low gap junctional coupling." In 2010 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC 2010). IEEE, 2010. http://dx.doi.org/10.1109/iembs.2010.5627817.

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Cocherova, E., J. Svehlikova, J. Zelinka, and M. Tysler. "Activation propagation in cardiac ventricles using homogeneous monodomain model and model based on cellular automaton." In 2017 11th International Conference on Measurement. IEEE, 2017. http://dx.doi.org/10.23919/measurement.2017.7983575.

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Miles, Paul, William Oates, Lider Leon, and Ralph Smith. "Uncertainty Analysis of Ferroelectric Polydomain Structures." In ASME 2017 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/smasis2017-3916.

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Ferroelectric materials exhibit strong electromechanical behavior which has led to the production of a wide variety of adaptive structures and intelligent systems, ranging from structural health monitoring sensors, energy harvesting circuits, and flow control actuators. Given the large number of applications, accurate prediction of ferroelectric materials constitutive behavior is critical. This presents many challenges, including the need to predict behavior from electronic structures up to macroscropic continuum. Many of the structure-property relations in these materials can be accurately ca
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