Find numerical values for the analytical expressions presented in the papers:
-
Monai H, Omori T, Okada M, Inoue M, Miyakawa H, Aonishi T. "An analytic solution of the cable equation predicts frequency preference of a passive shunt-end cylindrical cable in response to extracellular oscillating electric fields." Biophys J. 2010 Feb 17;98(4):524-33.
-
W. Ying and C. S. Henriquez, "Hybrid finite element method for describing the electrical response of biological cells to applied fields," IEEE Transactions on Biomedical Engineering, vol. 54, no. 4, pp. 611-620, Apr. 2007.
-
Tadej Kotnik, Damijan Miklavcic, Tomaz Slivnik, Time course of transmembrane voltage induced by time-varying electric fields a method for theoretical analysis and its application, Bioelectrochemistry and Bioenergetics, Volume 45, Issue 1, March 1998.
-
Bedard C, Kroger H and Destexhe A. Modeling extracellular field potentials and the frequency-filtering properties of extracellular space. Biophysical Journal 86: 1829-1842, 2004.
The expressions correspond to the response of a cable to a DC step current input, the cross section of a cylindrical cell to a homogeneous field, a sphere to a homogeneous field, and the potential for a point source current.
Typical parameters are specified as global variables for simplicity in the Python module and can be changed if necessary before function invocation.
Copyright Andres Agudelo-Toro (https://sites.google.com/site/aagudelotoro/)