The heart is a fantastic machine; during a normal lifetime it beats about 2.5 billion times and
pumps 200.000 tons of blood through an enormous system of vessels extending 160.000 …

Article 4 Page 1 In this paper we introduce two methods for the efficient and accurate numerical
solution of Black–Scholes models of American options: a penalty method and a front-…

The immature physiology of cardiomyocytes derived from human induced pluripotent stem
cells (hiPSCs) limits their utility for drug screening and disease modelling. Here we show that …

Mathematics is playing an ever more important role in the physical and biological sciences,
provoking a blurring of boundaries between scientific disciplines and a resurgence of …

The bidomain model, coupled with accurate models of cell membrane kinetics, is generally
believed to provide a reasonable basis for numerical simulations of cardiac electrophysiology…

The purpose of this article is to give an overview of the forward problem of cardiac
electrophysiology. The relevant models are derived and the mathematical problem formulated. …

Knowledge of cardiac electrophysiology is efficiently formulated in terms of mathematical
models. However, most of these models are very complex and thus defeat direct mathematical …

In this paper we present a numerical method for the bidomain model, which describes the
electrical activity in the heart. The model consists of two partial differential equations (PDEs), …

Two mathematical models are part of the foundation of Computational neurophysiology; (a)
the Cable equation is used to compute the membrane potential of neurons, and, (b) volume-…

We derive and analyze a penalty method for solving American multi-asset option problems.
A small, non-linear penalty term is added to the Black–Scholes equation. This approach …