Neurobiological Models of Two-Choice Decision Making Can Be Reduced to a One-Dimensional Nonlinear Diffusion Equation

Alex Roxin; Anders Ledberg

doi:10.1371/journal.pcbi.1000046

Neurobiological Models of Two-Choice Decision Making Can Be Reduced to a One-Dimensional Nonlinear Diffusion Equation

PLoS Computational Biology ◽

10.1371/journal.pcbi.1000046 ◽

2008 ◽

Vol 4 (3) ◽

pp. e1000046 ◽

Cited By ~ 84

Author(s):

Alex Roxin ◽

Anders Ledberg

Keyword(s):

Decision Making ◽

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

One Dimensional ◽

Choice Decision

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Analytical solutions to the one-dimensional nonlinear diffusion equation for flow through porous media

Water Resources Research ◽

10.1029/wr009i005p01378 ◽

1973 ◽

Vol 9 (5) ◽

pp. 1378-1384 ◽

Cited By ~ 3

Author(s):

Allen F. Moench

Keyword(s):

Porous Media ◽

Diffusion Equation ◽

Analytical Solutions ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Flow Through Porous Media ◽

One Dimensional ◽

Flow Through ◽

The One

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A three-parameter group similarity solution for a one dimensional nonlinear diffusion equation

Physica Scripta ◽

10.1088/0031-8949/41/2/001 ◽

1990 ◽

Vol 41 (2) ◽

pp. 193-196 ◽

Cited By ~ 1

Author(s):

Sergio M Waller

Keyword(s):

Diffusion Equation ◽

Similarity Solution ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Parameter Group ◽

One Dimensional ◽

Group Similarity

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Statistical problems connected with the one‐dimensional nonlinear diffusion equation

The Journal of the Acoustical Society of America ◽

10.1121/1.1919776 ◽

1974 ◽

Vol 55 (S1) ◽

pp. S50-S50 ◽

Cited By ~ 1

Author(s):

J. M. Burgers

Keyword(s):

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

One Dimensional ◽

Statistical Problems ◽

The One

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Liquid Instability and Freezing. II. Multi-Mode One Dimensional Analysis of a Nonlinear Diffusion Equation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.45.749 ◽

1978 ◽

Vol 45 (3) ◽

pp. 749-757 ◽

Cited By ~ 24

Author(s):

Toyonori Munakata

Keyword(s):

Diffusion Equation ◽

Dimensional Analysis ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

One Dimensional ◽

Multi Mode

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New exact solutions of the one-dimensional nonlinear diffusion equation

Siberian Mathematical Journal ◽

10.1007/bf02673043 ◽

1997 ◽

Vol 38 (5) ◽

pp. 978-987 ◽

Cited By ~ 4

Author(s):

G. A. Rudykh ◽

È. I. Semënov

Keyword(s):

Diffusion Equation ◽

Exact Solutions ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

One Dimensional ◽

New Exact Solutions ◽

The One

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Blow-up of sign-changing solutions for a one-dimensional nonlinear diffusion equation

Nonlinear Analysis ◽

10.1016/j.na.2019.03.011 ◽

2019 ◽

Vol 185 ◽

pp. 193-205 ◽

Cited By ~ 1

Author(s):

Eiji Yanagida

Keyword(s):

Diffusion Equation ◽

Nonlinear Diffusion ◽

Blow Up ◽

Nonlinear Diffusion Equation ◽

One Dimensional ◽

Sign Changing Solutions

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Statistical problems connected with asymptotic solutions of the one-dimensional nonlinear diffusion equation

Statistical Models and Turbulence - Lecture Notes in Physics ◽

10.1007/3-540-05716-1_3 ◽

1972 ◽

pp. 41-60 ◽

Cited By ~ 16

Author(s):

J. M. Burgers

Keyword(s):

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Asymptotic Solutions ◽

One Dimensional ◽

Statistical Problems ◽

The One

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Numerical approximations to some nonlinear diffusion equation with strong absorption

Proceedings of the Sixth International Colloguium on Differential Equations ◽

10.1515/9783112314050-022 ◽

1996 ◽

pp. 165-172

Keyword(s):

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Strong Absorption ◽

Numerical Approximations

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Exact fronts for the nonlinear diffusion equation with quintic nonlinearities

Physical Review E ◽

10.1103/physreve.50.3701 ◽

1994 ◽

Vol 50 (5) ◽

pp. 3701-3704 ◽

Cited By ~ 10

Author(s):

R. D. Benguria ◽

M. C. Depassier

Keyword(s):

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation

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Exact solution of a degenerate fully nonlinear diffusion equation

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-004-3015-1 ◽

2004 ◽

Vol 55 (3) ◽

pp. 534-538 ◽

Cited By ~ 2

Author(s):

Philip Broadbridge ◽

Joanna M. Goard

Keyword(s):

Exact Solution ◽

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Fully Nonlinear

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