Approximation of solution of the cable equation driven by a stochastic measure

2021 ◽  
Vol 104 ◽  
pp. 103-112
Author(s):  
B. I. Manikin ◽  
V. M. Radchenko
Keyword(s):  
Cable Equation ◽  
Stochastic Measure

Pseudospectral analysis and approximation of two‐dimensional fractional cable equation

2021 ◽  
Author(s):  
Avinash K. Mittal ◽  
Lokendra K. Balyan ◽  
Manoj K. Panda ◽  
Parnika Shrivastava ◽  
Harvindra Singh
Keyword(s):  
Cable Equation ◽  
Two Dimensional ◽  
Fractional Cable Equation

scholarly journals The Carrying Dimension of a Stochastic Measure Diffusion

1979 ◽  
Vol 7 (4) ◽  
pp. 693-703 ◽  
Author(s):  
Donald A. Dawson ◽  
Kenneth J. Hochberg
Keyword(s):  
Stochastic Measure

Solution of the nerve cable equation using Chebyshev approximations

1999 ◽  
Vol 87 (2) ◽  
pp. 119-136 ◽  
Author(s):  
T.I. Tóth ◽  
V. Crunelli
Keyword(s):  
Cable Equation

scholarly journals Neural Flows in Hopfield Network Approach

2013 ◽  
Vol 57 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Carmen Ionescu ◽  
Emilian Panaitescu ◽  
Mihai Stoicescu
Keyword(s):  
Neural Networks ◽  
Hopfield Network ◽  
Large Network ◽  
Cable Equation ◽  
Network Approach ◽  
Biological Complexity ◽  
Reduction Procedure ◽  
Real Neuron ◽  
Complex Models ◽  
Simple Reduction

Abstract In most of the applications involving neural networks, the main problem consists in finding an optimal procedure to reduce the real neuron to simpler models which still express the biological complexity but allow highlighting the main characteristics of the system. We effectively investigate a simple reduction procedure which leads from complex models of Hodgkin-Huxley type to very convenient binary models of Hopfield type. The reduction will allow to describe the neuron interconnections in a quite large network and to obtain information concerning its symmetry and stability. Both cases, on homogeneous voltage across the membrane and inhomogeneous voltage along the axon will be tackled out. Few numerical simulations of the neural flow based on the cable-equation will be also presented.

scholarly journals Cable equation formalism for neuronal magnetic fields

2014 ◽  
Vol 15 (S1) ◽  
Author(s):  
Alain Destexhe ◽  
Francesca Barbieri ◽  
Claude Bedard
Keyword(s):  
Magnetic Fields ◽  
Cable Equation

scholarly journals Analytical Solution of Generalized Space-Time Fractional Cable Equation

Mathematics ◽  
2015 ◽  
Vol 3 (2) ◽  
pp. 153-170 ◽  
Author(s):  
Ram Saxena ◽  
Zivorad Tomovski ◽  
Trifce Sandev
Keyword(s):  
Analytical Solution ◽  
Space Time ◽  
Cable Equation ◽  
Fractional Cable Equation
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