Uncertainty Propagation in Nerve Impulses Through the Action Potential Mechanism

[1]  Joke Blom,et al.  Uncertainty propagation in neuronal dynamical systems , 2013 .

[2]  Carlo R Laing,et al.  Managing heterogeneity in the study of neural oscillator dynamics , 2012, The Journal of Mathematical Neuroscience.

[3]  A. Destexhe,et al.  Neuronal Noise , 2012, Springer Series in Computational Neuroscience.

[4]  D. Xiu Numerical Methods for Stochastic Computations: A Spectral Method Approach , 2010 .

[5]  O. L. Maître,et al.  Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics , 2010 .

[6]  Omar M. Knio,et al.  Spectral Methods for Uncertainty Quantification , 2010 .

[7]  Gaston H. Gonnet,et al.  Scientific Computation , 2009 .

[8]  Fabio Nobile,et al.  A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data , 2008, SIAM J. Numer. Anal..

[9]  Barbara I. Wohlmuth,et al.  Algorithm 847: Spinterp: piecewise multilinear hierarchical sparse grid interpolation in MATLAB , 2005, TOMS.

[10]  H. Bungartz,et al.  Sparse grids , 2004, Acta Numerica.

[11]  Thomas Gerstner,et al.  Numerical integration using sparse grids , 2004, Numerical Algorithms.

[12]  T. Sejnowski,et al.  Synaptic background noise controls the input/output characteristics of single cells in an in vitro model of in vivo activity , 2003, Neuroscience.

[13]  A. Saltelli,et al.  Making best use of model evaluations to compute sensitivity indices , 2002 .

[14]  T. Sejnowski,et al.  Fluctuating synaptic conductances recreate in vivo-like activity in neocortical neurons , 2001, Neuroscience.

[15]  A. Destexhe,et al.  Synaptic background activity enhances the responsiveness of neocortical pyramidal neurons. , 2000, Journal of neurophysiology.

[16]  A. Destexhe,et al.  Impact of network activity on the integrative properties of neocortical pyramidal neurons in vivo. , 1999, Journal of neurophysiology.

[17]  A. Destexhe,et al.  Impact of spontaneous synaptic activity on the resting properties of cat neocortical pyramidal neurons In vivo. , 1998, Journal of neurophysiology.

[18]  K. Ritter,et al.  High dimensional integration of smooth functions over cubes , 1996 .

[19]  A. Saltelli,et al.  Importance measures in global sensitivity analysis of nonlinear models , 1996 .

[20]  Ilya M. Sobol,et al.  Sensitivity Estimates for Nonlinear Mathematical Models , 1993 .

[21]  R. Ghanem,et al.  Stochastic Finite Elements: A Spectral Approach , 1990 .

[22]  T. Ishigami,et al.  An importance quantification technique in uncertainty analysis for computer models , 1990, [1990] Proceedings. First International Symposium on Uncertainty Modeling and Analysis.

[23]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1990, Bulletin of mathematical biology.

[24]  Thomas N. L. Patterson,et al.  An algorithm for generating interpolatory quadrature rules of the highest degree of precision with preassigned nodes for general weight functions , 1989, TOMS.