Walter J. Karplus

TL;DR: A convenient, easy to learn and to use, high level problem oriented language to solve and study partial differential equation problems has been designed; a practical translator for the language has also been designed, and a working version of it has been constructed for a significant portion of the language.

TL;DR: The mathematical models as they arise in various application disciplines are arranged along a spectrum according to the relative amount of deduction and induction involved in their construction, providing an insight into the ultimate validity of simulations and to what use they can properly be put.

TL;DR: A modification of the simplified FitzHugh-Nagumo (FN) equations is proposed for introducing a residual component of the slow variable, which determines the restitution of action potential duration (APD) also known as the interval-excitation duration relationship as discussed by the authors.

TL;DR: In this paper, the propagation of excitation waves in narrow pathways of 2D excitable media through regions of impermeable media and decreased excitability media is investigated as a model of reentrant arrhythmias in the heart.

TL;DR: Computer simulation using Luo-Rudy I1 model of ventricular myocyte showed that intracellular calcium dynamics become irregular in case of high rate stimulation and this causes the transition from stationary to nonstationary spiral wave and its breakup in 2D model of cardiac tissue.