The path integral for dendritic trees
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Publication:1181589
DOI10.1007/BF00196452zbMath0743.92010WikidataQ52423404 ScholiaQ52423404MaRDI QIDQ1181589
Sam Gutmann, L. F. Abbott, Edward Farhi
Publication date: 27 June 1992
Published in: Biological Cybernetics (Search for Journal in Brave)
path integralBrownian motiondendritic treelinear cable equationexact expression for Green's functionspatially varying membrane conductivitiessynaptic inputstime-dependent membrane conductivities
Biological applications of optics and electromagnetic theory (78A70) Neural biology (92C20) Other physical applications of random processes (60K40) Markov processes (60J99)
Related Items (14)
Dynamics of compartmental model neurons ⋮ Response functions for electrically coupled neuronal network: a method of local point matching and its applications ⋮ Integro-differential equations and the stability of neural networks with dendritic structure ⋮ Exact solutions to cable equations in branching neurons with tapering dendrites ⋮ Exact controllability to eigensolutions of the bilinear heat equation on compact networks ⋮ Effects of passive dendritic tree properties on the firing dynamics of a leaky-integrate-and-fire neuron ⋮ A Sparse Reformulation of the Green’s Function Formalism Allows Efficient Simulations of Morphological Neuron Models ⋮ Branching dendrites with resonant membrane: a ``sum-over-trips approach ⋮ Computational convergence of the path integral for real dendritic morphologies ⋮ Gap junctions, dendrites and resonances: a recipe for tuning network dynamics ⋮ Travelling waves in a model of quasi-active dendrites with active spines ⋮ Techniques for the application of the analytical solution to the multicylinder somatic shunt cable model for passive neurones ⋮ Tutorial on Neural Field Theory ⋮ Compartmental-model response function for dendritic trees
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