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 • | Spectral method and high-order finite differences for nonlinear cable (Omurtag and Lytton 2010) |
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Baer S, Crook S, Dur-e-ahmad M, Jackiewicz Z (2007) Numerical solution of calcium-mediated dendritic branch model Journal Of Computational And Applied Mathematics 229:416-424 Bower JM, Beeman D (1998) The Book Of Genesis: Exploring Realistic Neural Models With The General Neural Simulation System Boyd JP (2001) Chebyshev and fourier spectral methods Bressloff PC (2009) Cable theory of protein receptor trafficking in a dendritic tree. Phys Rev E Stat Nonlin Soft Matter Phys 79:041904 [Journal] [PubMed] Brunel N, van Rossum MC (2007) Lapicque's 1907 paper: from frogs to integrate-and-fire. Biol Cybern 97:337-9 [Journal] [PubMed] Canuto C, Hussaini M, Quarteroni A, Zang T (2007) Spectral methods Carnevale NT, Hines ML (2006) The NEURON Book [Journal] Dayan P, Abbott L (2003) Theoretical Neuroscience Dur-E-Ahmad M, Jackiewicz Z, Zubik-Kowal B, Crook S (2007) A variant of pseudospectral method for activity-dependent dendritic branch model. J Neurosci Methods 165:306-19 [Journal] [PubMed] Fletcher C (1988) Computational techniques for fluid dynamics Fornberg B (1998) Calculation of weights in finite difference formulas Siam Rev 40:685-691 Fornberg B (1998) A Practical Guide to Pseudo Spectral Methods Funaro D (1992) Approximation by the Legendre collocation method of a model problem in electrophysiology J Comput Appl Math 43:261-271 Gottlieb D, Lustman L (1983) The spectrum of the Chebyshev collocation operator for the heat equation. Siam J Numer Anal 20:909-921 Hines M (1984) Efficient computation of branched nerve equations. Int J Biomed Comput 15:69-76 [PubMed] HODGKIN AL, HUXLEY AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol 117:500-44 [Journal] [PubMed] Jack JJB, Noble D, Tsien RW (1975) Electric Current Flow in Excitable Cells Knight BW, Omurtag A, Sirovich L (2000) The approach of a neuron population firing rate to a new equilibrium: an exact theoretical result. Neural Comput 12:1045-55 [PubMed] Koch C (1999) Biophysics Of Computation: Information Processing in Single Neurons Lindsay KA, Ogden JM, Halliday DM, Rosenberg JR (1999) An introduction to the principles of neuronal modelling. Modern techniques in Neuroscience Research. :213-306 Lomax H, Pulliam TH, Zingg DW (2001) Fundamentals of computational fluid dynamics Mainen ZF, Joerges J, Huguenard JR, Sejnowski TJ (1995) A model of spike initiation in neocortical pyramidal neurons. Neuron 15:1427-39 [PubMed]
Mascagni MV (1989) Numerical methods for neuronal modeling. Methods in Neuronal Modeling, Kock C:Segev I, ed. Mofid A, Peyret R (1993) Stability of the Chebyshev collocation approximation to the advection-diffusion equation Computers And Fluids 22:453-465 Nagaiah C (2008) Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods Applied Numerical Mathematics 58:1658-1674 Omurtag A, Knight BW, Sirovich L (2000) On the simulation of large populations of neurons. J Comput Neurosci 8:51-63 [PubMed] Orszag SA (1971) Numerical simulation of incompressible flows within simple boundaries I: Galerkin spectral representations Stud Appl Math 50:293-327 Pearlmutter BA, Zador A (1999) Sparse matrix methods for modeling single neurons Biophysics of computation, Koch C, ed. pp.487 Press WH, Teukolsky SA, Vellerling WT, Flannery BP (1992) Numerical Recipes In C: The Art Of Scientific Computing Rall W (1989) Cable theory for dendritic neurons Methods In Neuronal Modeling: From Synapses To Networks, Koch C:Segev I, ed. pp.9 Reddy SC, Trefethen LN (1994) Pseudospectra of the convection-diffusion operator Siam J Numer Anal 54:1634-1649 Stuart GJ, Sakmann B (1994) Active propagation of somatic action potentials into neocortical pyramidal cell dendrites. Nature 367:69-72 [Journal] [PubMed] Tóth TI, Crunelli V (1999) Solution of the nerve cable equation using Chebyshev approximations. J Neurosci Methods 87:119-36 [PubMed] Trefethen LN (2000) Spectral methods in MATLAB |