Numerical implementation of sealed-end boundary conditions in cable theory
- 1 January 1991
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Biomedical Engineering
- Vol. 38 (12) , 1266-1271
- https://doi.org/10.1109/10.137293
Abstract
We show that a frequently used numerical implementation of von Neumann boundary conditions (zero inflowing current) in cable theory is incorrect. Correct implementations are given and it is shown that they yield results in good agreement with known analytical solutions.Keywords
This publication has 11 references indexed in Scilit:
- Computer simulation of networks of electrotonic neuronsPublished by Cambridge University Press (CUP) ,1988
- Simulation of action potentials in a one-dimensional bidomainIEEE Transactions on Biomedical Engineering, 1988
- Boundary conditions in simulations of cardiac propagating action potentialsIEEE Transactions on Biomedical Engineering, 1988
- Extracellular currents and potentials of the active myelinated nerve fiberBiophysical Journal, 1987
- Extracellular potentials from skeletal muscleMathematical Biosciences, 1987
- Computer simulation of action potential propagation in septated nerve fibersBiophysical Journal, 1987
- Numerical Methods in Fluid DynamicsPublished by Cambridge University Press (CUP) ,1985
- Axon voltage-clamp simulations. I. Methods and testsBiophysical Journal, 1975
- Digital Computer Solutions for Excitation and Propagation of the Nerve ImpulseBiophysical Journal, 1966
- A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction typeMathematical Proceedings of the Cambridge Philosophical Society, 1947