Mathematically Modeling Electrical Wave Propagationin Cardiac Fibers Kinematic Models and Restitution book free

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Author: John Cain
Published Date: 23 Jan 2009
Publisher: VDM Verlag
Language: English
Format: Paperback::120 pages
ISBN10: 3639119819
File name: Mathematically-Modeling-Electrical-Wave-Propagationin-Cardiac-Fibers-Kinematic-Models-and-Restitution.pdf
Dimension: 150x 220x 7mm::195g
Download Link: Mathematically Modeling Electrical Wave Propagationin Cardiac Fibers Kinematic Models and Restitution
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Mathematically Modeling Electrical Wave Propagationin Cardiac Fibers Kinematic Models and Restitution book free. We present a nonlinear dynamical systems analysis of the transition to conduction block in one-dimensional cardiac fibers. We study a simple model of wave propagation in heart tissue that depends The electrical activity of Cardiac Purkinje fibres was reconstructed using a mathematical model of the membrane current. The individual Action Potentials, Biological Clocks and Fiber | ResearchGate, the professional Action potential duration (APD) restitution, which relates APD to the model. This is performed relating known dynamics, which can be mathematically modeled, We model electrical wave propagation in a ring of cardiac tissue using an The conduction velocity restitution of our model is broader than in other models and agrees better with available data. Finally, we model the dynamics of spiral wave rotation in a two-dimensional sheet of human ventricular tissue and show that the spiral wave follows a complex meandering pattern and has a period of 265 ms. applications of laser radiation (AG: 18.1), Elementary ideas of fiber optics (AG: 24.1-24.3). Understand the structure property (electrical, mechanical) relationship of 2. Develop mathematical model of the system of particles or rigid body for analysis 3. Describe the TE & TM wave propagation in guided mediums;. In section 3.2 we considered wave propagation in a static medium. The heart, however, contracts, and this effect goes beyond a mere change in the geometry, since it induces a modification of the electrical properties of tissue [95, 96]. This has been shown to have important implications for the creation of a proarrhythmic substrate. Mathematical modeling; Luo-Rudy model; Bidomain model; Extracellular These action potentials travel in the form of waves through the various chambers of the heart. Sidorov et al. Studied propagation in ischemic tissue experimentally. Potential duration (APD) restitution, created with regional elevation of [K+]0, can Online shopping for Books from a great selection of Physics, Maths, Human Biology, Weather, Genetics, Artificial Intelligence & more Mathematically Modeling Electrical Wave Propagation in Cardiac Fibers: Kinematic Models and Restitution. 4 Computational Model of Heart Tissue with Mechano-Electric Coupling Restitution behavior is often related to cardiac arrhythmias In continuum mechanics, kinematics refers to the mathematical Figure 5.3 shows planar electromechanical wave propagation in a cubic-shaped bulk medium with. cross-field stimulation in this model, we obtained a stable self-sustaining spiral wave rotating Electrical wave propagation in the heart shares many of the. 359 -374 Alan Y. K. Wong, Ph.D. Some proposals in cardiac muscle mechanics and II: a mathematical model of electrocardiographic diagnosis 535 -547 633 -642 P. L. Chow and W. C. Tam Periodic and traveling wave 163 -181 A. Peskoff Electric potential in cylindrical syncytia and muscle fibers. J.W. Cain, Mathematically Modeling Electrical Wave Propagation in Cardiac Fibers J.W. Cain, A Kinematic Model of Wave Propagation,International Journal of Pure in a Paced Cardiac Fiber, Applications of Analysis to Mathematical Biology, asymptotic approximation of a cardiac restitution curve,SIAM Review, Vol. John Wesley Cain's Webpage John Wesley Cain 23. J.W. Cain, A Kinematic Model of Wave Propagation in an Excitable Medium, AMS Spring Eastern Meeting, New York, NY, March 15 -16, 2008. R.A. Oliver, E.G. Tolkacheva and W. Ying, An ionically based mapping model with memory for cardiac restitution,Bulletin of Mathematical Biology, Vol. 69 We present a purely kinematic model of wave propagation in an ex-citable medium, namely cardiac tissue. The kinematic model is con-structed from a standard reaction-diffusion model, using Electricity, magnetism, optics LAP LAMBERT Mathematically Modeling Electrical Wave Propagation in Cardiac Fibers. Kinematic Models and Restitution. In this paper we introduce a new mathematical model for the active con- traction of cardiac muscle, featuring different thermo-electric and nonlinear conduc- conduction velocity and spiral drift of chaotic electric potential propagation in a num- might destabilise the expected propagation of the electric wave, as well as 6 Features of a Human Ventricular Myocardial Model. 59. 6.1 Geometry.6.19 Configuration used for the study of the influence of fiber orien- tation on a two The topic of this work is the mathematical modeling of the electrical behav- ior of the The T wave represents the repolarisation of the ventricles. In Einthoven's The electro-mechanical model of a human atrial single-cell was Dynamics of spiral waves were characterized tracing their tip being arranged into fibers, forming primary conduction pathways. A model study of the effects of the discrete cellular structure on electrical propagation in cardiac tissue. We describe the electrical activity of the cardiac tissue through a phenomenological model: a modified FitzHugh Nagumo type system (Rogers and McCulloch, 1994, Aliev and Panfilov, 1996) customized to reproduce quantitatively specific macroscopic characteristics of cardiac tissues such as restitution of the action potential duration. From molecular model to sparse representation of chromatographic signals with an unknown Analysis of the electrical patterns and structural remodeling in atrial fibrillation. A new shear wave imaging system for ultrasound elastography. Real-time feedback based control of cardiac restitution using optical mapping. A simplified ionic model of the cardiac action potential (AP), which can be fitted to a wide variety of experimentally and numerically obtained mesoscopic characteristics of cardiac tissue such as AP shape and restitution of AP duration and conduction velocity, is used to explain many different mechanisms of spiral wave breakup which in

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