Exponential Time Differencing for Hodgkin--Huxley-like ODEs

DOI10.1137/120883657zbMath1305.65167OpenAlexW2000998502WikidataQ42646427 ScholiaQ42646427MaRDI QIDQ2847739

Christoph Börgers, Alexander R. Nectow

Publication date: 11 September 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc3779145

zbMATH Keywords

numerical examplesRunge-Kutta methodstiffnesscomputational neuroscienceexponential time differencingHodgkin-Huxley equationsmidpoint methodEuler's method

Mathematics Subject Classification ID

Neural biology (92C20) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

Probabilistic solvers enable a straight-forward exploration of numerical uncertainty in neuroscience models ⋮ Exponential Adams-Bashforth integrators for stiff ODEs, application to cardiac electrophysiology ⋮ Positive and bounded nonstandard finite difference scheme for the Hodgkin-Huxley equations ⋮ A comparison of six numerical methods for integrating a compartmental Hodgkin-Huxley type model ⋮ Structure-Preserving Numerical Integrators for Hodgkin--Huxley-Type Systems ⋮ A combined offline-online algorithm for Hodgkin-Huxley neural networks

Uses Software

• CSIM

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