TY - GEN
T1 - Boundary integral formulation for the electrical response of a nerve to an extracellular stimulation
AU - Henriquez, Fernando
AU - Jerez-Hanckes, Carlos
AU - Altermatt, M. D.Fernando R.
PY - 2013
Y1 - 2013
N2 - We present a two-dimensional boundary integral formulation of nerve impulse propagation. A nerve impulse is a potential difference across the cellular membrane that propagates along the nerve fiber. The traveling transmembrane potential is produced by the transfer of ionic species between the intra- and extra-cellular mediums. This current flux across the membrane-composed of conduction, diffusion and capacitive terms- is regulated by passive and active mechanisms that are highly complicated to describe mathematically from a microscopic point of view. Based on the Hodgkin and Huxley axon model, we propose a well-posed integral formulation based on a quasi-static approximation amenable to time-stepping schemes and discuss first results.
AB - We present a two-dimensional boundary integral formulation of nerve impulse propagation. A nerve impulse is a potential difference across the cellular membrane that propagates along the nerve fiber. The traveling transmembrane potential is produced by the transfer of ionic species between the intra- and extra-cellular mediums. This current flux across the membrane-composed of conduction, diffusion and capacitive terms- is regulated by passive and active mechanisms that are highly complicated to describe mathematically from a microscopic point of view. Based on the Hodgkin and Huxley axon model, we propose a well-posed integral formulation based on a quasi-static approximation amenable to time-stepping schemes and discuss first results.
UR - http://www.scopus.com/inward/record.url?scp=84886477567&partnerID=8YFLogxK
U2 - 10.1109/EMBC.2013.6610971
DO - 10.1109/EMBC.2013.6610971
M3 - Conference contribution
C2 - 24111158
AN - SCOPUS:84886477567
SN - 9781457702167
T3 - Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS
SP - 6207
EP - 6210
BT - 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 2013
T2 - 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 2013
Y2 - 3 July 2013 through 7 July 2013
ER -