Existence of traveling wavefront solutions for the discrete Nagumo equation

Impulses and Physiological States in Theoretical Models of Nerve Membrane

Richard Fitzhugh · Biophysical Journal · 1961 · 6.3K citations

Natural Sciences, Biophysics, Physiology +16

An Active Pulse Transmission Line Simulating Nerve Axon

J. Nagumo, S. Arimoto, S. Yoshizawa · Proceedings of the IRE · 1962 · 4.2K citations

Engineering, Bioengineering, Electrical Engineering +15

Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

Herbert Amann · SIAM Review · 1976 · 1.9K citations

Natural Sciences, Mathematics, Computational Mechanics +16

The approach of solutions of nonlinear diffusion equations to travelling front solutions

Paul C. Fife, J. B. McLeod · Archive for Rational Mechanics and Analysis · 1977 · 1.2K citations

Natural Sciences, Mathematics, Physics +14

Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells

James P. Keener · SIAM Journal on Applied Mathematics · 1987 · 622 citations

Natural Sciences, Biophysics, Mathematics +17