publications, the opportunity arose to establish Zentralblatter and Handbucher for the various growing medical specialisms; by 1914, 75 per cent of the firm's output was in engineering and medicine and a largish group of German scientists found additional employment as advisers on monthly retainers. Sarkowski provides a gripping account of the dangerous thirties when the firm's Jewish genealogy...

corresponding author: Christoph Börgers, [email protected], phone: 617-627-2366, fax: 617-627-3966 keywords: Hodgkin-Huxley equations, synchronization, type II neurons, gamma oscillations, shunting inhibition

In this paper, we apply the Laplace decomposition method to obtain a series solutions of the Burgers-Huxley and Burgers-Fisher equations. The technique is based on the application of Laplace transform to nonlinear partial differential equations. The method does not need linearization, weak nonlinearity assumptions or perturbation theory and the nonlinear terms can be easily handled by using the...

The four-dimensional Hodgkin–Huxley equations are considered as the prototype for description of neural pulse propagation. Their mathematical complexity and sophistication prompted a simplified two-dimensional model, the FitzHugh–Nagumo equations, which display many of the former’s dynamical features. Numerical and mathematical analysis are employed to demonstrate that the FitzHugh–Nagumo equat...

We have investigated the steady-state potential and current distributions resulting from current injection into a close-fitting channel into which a squid axon is placed. Hybrid computer solutions of the cable equations, using the Hodgkin-Huxley equations to give the membrane current density, were in good agreement with experimental observations. A much better fit was obtained when the Hodgkin-...

Exactly 60 years ago, Hodgkin and Huxley published a paper on membrane current and its application to conduction and excitation in nerves that is cited by many authors in the context of conductance based neuron models. We discuss the utility of this model in biomedical science along with some important models those are motivated by Hodgkin and Huxley. These models are called biologically motiva...