Electrodiffusion model of rectangular current pulses in ionic channels of cellular membranes

SIAM Journal on Applied Mathematics

Volumn 61, Issue 3, 2000, Pages 792-802

  Gardner, Carl L ^a   Jerome, Joseph W ^b   Eisenberg, Robert S ^c  

^a ARIZONA STATE UNIVERSITY   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

^c RUSH MEDICAL COLLEGE   (United States)

Author keywords

Dynamical systems; Electrodiffusion model; Ionic channels

Indexed keywords

BIOELECTRIC POTENTIALS; BOUNDARY CONDITIONS; CELL MEMBRANES; COMPUTER SIMULATION; GAIT ANALYSIS; INTEGRATION; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; RUNGE KUTTA METHODS;

DYNAMICAL SYSTEMS; ELECTRODIFFUSION MODEL; IONIC CHANNELS; RECTANGULAR CURRENT PULSES; TRAVELING WAVE SOLUTIONS;

MATHEMATICAL MODELS;

EID: 0034916397     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139999351645     Document Type: Article

References (10)

1. B. HILLE, Ionic Channels of Excitable Membranes, Sinauer, Sunderland, MA, 1992.
2. R. S. EISENBERG, M. M. KLOSEK, AND Z. SCHUSS, Diffusion as a chemical reaction: Stochastic trajectories between fixed concentrations, J. Chem. Phys., 102 (1995), pp. 1767-1780.
3. W. NONNER, D. CHEN, AND R. S. EISENBERG, Anomalous mole fraction effect, electrostatics, and binding, Biophys. J., 74 (1998), pp. 2327-2334.
4. W. NONNER AND R. S. EISENBERG, Ion permeation and glutamate residues linked by Poisson-Nernst-Planck theory in L-type calcium channels, Biophys. J., 75 (1998), pp. 1287-1305.
5. P. SZMOLYAN, Traveling waves in GaAs-semiconductors, Phys. D, 39 (1989), pp. 393-404.
6. G.-Q. CHEN, J. W. JEROME, C.-W. SHU, AND D. WANG, Two-carrier semiconductor device models with geometric structure and symmetry properties, in Modelling and Computation for Applications in Mathematics, Science, and Engineering, Oxford University Press, Oxford, UK, 1998, pp. 103-140.
7. B. FIEDLER AND S. LIEBSCHER, AND J. ALEXANDER, Generic Hopf bifurcation from lines of equilibria without parameters, I. Theory, J. Differential Equations, to appear.
8. R. P. FEYNMAN, R. B. LEIGHTON, AND M. SANDS, The Feynman Lectures on Physics, Vol. II, Addison-Wesley, Reading, MA, 1964.
9. M. KRUPA, Robust heteroclinic cycles, J. Nonlinear Sci., 7 (1997), pp. 129-176.
10. E. STONE AND P. HOLMES, Random perturbations of heteroclinic attractors, SIAM J. Appl. Math., 50 (1990), pp. 726-743.