Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells

Frontiers in Applied Dynamical Systems: Reviews and Tutorials - Mathematical Analysis of Complex Cellular Activity ◽

10.1007/978-3-319-18114-1_1 ◽

2015 ◽

pp. 1-52

Author(s):

Richard Bertram ◽

Joël Tabak ◽

Wondimu Teka ◽

Theodore Vo ◽

Martin Wechselberger

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

Pituitary Cells ◽

Bursting Oscillations ◽

Singular Perturbation Analysis ◽

Geometric Singular Perturbation ◽

Geometric Singular Perturbation Analysis

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A Geometric Singular Perturbation Analysis of Detonation and Deflagration Waves

SIAM Journal on Mathematical Analysis ◽

10.1137/0524058 ◽

1993 ◽

Vol 24 (4) ◽

pp. 968-986 ◽

Cited By ~ 30

Author(s):

I. Gasser ◽

P. Szmolyan

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

Singular Perturbation Analysis ◽

Geometric Singular Perturbation ◽

Geometric Singular Perturbation Analysis

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Geometric singular perturbation analysis of an autocatalator model

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2009.2.783 ◽

2009 ◽

Vol 2 (4) ◽

pp. 783-806 ◽

Cited By ~ 21

Author(s):

Ilona Gucwa ◽

◽

Peter Szmolyan ◽

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

Singular Perturbation Analysis ◽

Geometric Singular Perturbation ◽

Geometric Singular Perturbation Analysis

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Geometric Singular Perturbation Analysis of the Yamada Model

SIAM Journal on Applied Dynamical Systems ◽

10.1137/040604820 ◽

2005 ◽

Vol 4 (3) ◽

pp. 607-648 ◽

Cited By ~ 10

Author(s):

A. Huber ◽

P. Szmolyan

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

Singular Perturbation Analysis ◽

Geometric Singular Perturbation ◽

Geometric Singular Perturbation Analysis

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Course 3 Geometric singular perturbation analysis of neuronal dynamics

Les Houches - Methods and Models in Neurophysics, École d' été de Physique des Houches Session LXXX ◽

10.1016/s0924-8099(05)80009-5 ◽

2005 ◽

pp. 73-122

Author(s):

David Terman

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

Neuronal Dynamics ◽

Singular Perturbation Analysis ◽

Geometric Singular Perturbation ◽

Geometric Singular Perturbation Analysis

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Geometric Singular Perturbation Analysis of Neuronal Dynamics

Handbook of Dynamical Systems ◽

10.1016/s1874-575x(02)80024-8 ◽

2002 ◽

pp. 93-146 ◽

Cited By ~ 25

Author(s):

Jonathan E. Rubin ◽

David Terman

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

Neuronal Dynamics ◽

Singular Perturbation Analysis ◽

Geometric Singular Perturbation ◽

Geometric Singular Perturbation Analysis

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Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020305 ◽

2021 ◽

Vol 41 (2) ◽

pp. 967-985

Author(s):

Feifei Cheng ◽

◽

Ji Li

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

Distributed Delay ◽

Singular Perturbation Analysis ◽

Geometric Singular Perturbation ◽

Geometric Singular Perturbation Analysis

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Geometric singular perturbation analysis of a dynamical target mediated drug disposition model

Journal of Mathematical Biology ◽

10.1007/s00285-019-01354-3 ◽

2019 ◽

Vol 79 (1) ◽

pp. 187-222 ◽

Cited By ~ 3

Author(s):

Kristian Uldall Kristiansen

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

Drug Disposition ◽

Singular Perturbation Analysis ◽

Target Mediated Drug Disposition ◽

Geometric Singular Perturbation ◽

Disposition Model ◽

Geometric Singular Perturbation Analysis

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Geometric singular perturbation analysis to Camassa-Holm Kuramoto-Sivashinsky equation

Journal of Differential Equations ◽

10.1016/j.jde.2021.10.033 ◽

2022 ◽

Vol 306 ◽

pp. 418-438

Author(s):

Zengji Du ◽

Ji Li

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

Singular Perturbation Analysis ◽

Geometric Singular Perturbation ◽

Sivashinsky Equation ◽

Geometric Singular Perturbation Analysis

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Geometric singular perturbation analysis of oxidation heat pulses for two-phase flow in porous media

Boletim da Sociedade Brasileira de Matemática ◽

10.1007/bf01233667 ◽

2001 ◽

Vol 32 (3) ◽

pp. 237-270 ◽

Cited By ~ 8

Author(s):

S. Schecter ◽

D. Marchesin

Keyword(s):

Porous Media ◽

Singular Perturbation ◽

Perturbation Analysis ◽

Two Phase Flow ◽

Flow In Porous Media ◽

Phase Flow ◽

Two Phase ◽

Singular Perturbation Analysis ◽

Heat Pulses ◽

Geometric Singular Perturbation Analysis

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Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Quations II. Rapid Oscillations and Resonances

SIAM Journal on Applied Mathematics ◽

10.1137/0145041 ◽

1985 ◽

Vol 45 (5) ◽

pp. 687-707 ◽

Cited By ~ 35

Author(s):

Charles G. Lange ◽

Robert M. Miura

Keyword(s):

Singular Perturbation ◽

Boundary Value Problems ◽

Perturbation Analysis ◽

Boundary Value ◽

Singular Perturbation Analysis

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