Read e-book online Complex Structure and Dynamics of the Heart PDF

By Philip Bittihn

ISBN-10: 3319122312

ISBN-13: 9783319122311

ISBN-10: 3319122320

ISBN-13: 9783319122328

This award-winning thesis investigates the mechanisms underlying cardiac arrhythmia improvement and termination from a completely new viewpoint. via viewing the guts as a fancy process, the writer makes use of theoretical instruments from nonlinear dynamics mixed with numerical simulations and experiments to accomplish insights into the connection among its constitution and dynamics, thereby paving the best way in the direction of cutting edge low-energy defibrillation innovations. The paintings tackles, between different issues: the impact of substrate heterogeneity at the spatial-temporal dynamics of cardiac arrhythmias and ways that susceptible pulsed electrical fields can be utilized to regulate those dynamics in heterogeneous cardiac tissue. The long term imaginative and prescient of this learn is to switch the present technique of utilizing painful and occasionally tissue destructive electrical surprise – at the moment the one trustworthy strategy to terminate life-threatening traumatic inflammation – by means of a extra sophisticated yet both powerful intervention. The e-book maps out a few promising learn instructions for biophysicists and clinical researchers engaged on the origins and remedy of cardiac arrhythmias.

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16) in the same section. e. they fix the normal fluxes n ·D∇u on the boundary ∂D. As will be shown in Sect. , rectangles in cartesian coordinates or (fractional) annuli in polar coordinates. For arbitrarily shaped domains D, there is no such natural way of imposing zero flux on the domain boundary. In this case, one usually resorts to more complex and computationally intensive numerical schemes like finite-volume or finite-element methods (see Sect. 3 of Ref. [25] and references therein). In Ref.

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107. Biktasheva, I. , Biktashev, V. , & Foulkes, A. J. (2010). Computation of the drift velocity of spiral waves using response functions. Physical Review E, 81, 066202. 108. Lyapunov, A. M. (1892). The general problem of the stability of motion. D. thesis. 109. Oseledec, V. I. (1968). A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems. Transaction of the Moscow Mathematical Society, 19, 197–231. 110. -M. (1980). Lyapunov characteristic exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them.

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Complex Structure and Dynamics of the Heart by Philip Bittihn


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