Hopf bifurcation in an activator–inhibitor system with network

We shall consider an activator–inhibitor system proposed by Radehaus [1990]. In this system, the activator is inhibited by not only the inhibitor but also its own spatial average. The purpose of this paper is to analyze the dynamics of interfaces in an interfacial problem which is reduced from the system in order to examine how this problem is different from an activator–inhibitor system [Ham-Lee et al., 1994].

Download Full-text

The Effects of Gonadotropin-Releasing Hormone (GnRH) I and GnRH II on the Urokinase-Type Plasminogen Activator/Plasminogen Activator Inhibitor System in Human Extravillous Cytotrophoblastsin Vitro

The Journal of Clinical Endocrinology & Metabolism ◽

10.1210/jc.2002-020883 ◽

2002 ◽

Vol 87 (12) ◽

pp. 5594-5603 ◽

Cited By ~ 23

Author(s):

Chun-Shan Chou ◽

Hua Zhu ◽

Eliezer Shalev ◽

Colin D. MacCalman ◽

Peter C. K. Leung

Keyword(s):

Plasminogen Activator ◽

Plasminogen Activator Inhibitor ◽

Gonadotropin Releasing Hormone ◽

Releasing Hormone ◽

Type Plasminogen Activator ◽

Urokinase Type Plasminogen Activator ◽

Inhibitor System ◽

Activator Inhibitor

Download Full-text

A priori estimates of stationary solutions of an activator-inhibitor system

Indiana University Mathematics Journal ◽

10.1512/iumj.2007.56.2982 ◽

2007 ◽

Vol 56 (2) ◽

pp. 681-732 ◽

Cited By ~ 10

Author(s):

Huiqiang Jiang ◽

Wei-ming Ni

Keyword(s):

A Priori Estimates ◽

A Priori ◽

Stationary Solutions ◽

Priori Estimates ◽

Inhibitor System ◽

Activator Inhibitor

Download Full-text

On the Role of Basic Production Terms in an Activator-Inhibitor System Modeling Biological Pattern Formation

Funkcialaj Ekvacioj ◽

10.1619/fesi.54.237 ◽

2011 ◽

Vol 54 (2) ◽

pp. 237-274 ◽

Cited By ~ 5

Author(s):

Kanako Suzuki ◽

Izumi Takagi

Keyword(s):

Pattern Formation ◽

System Modeling ◽

Biological Pattern Formation ◽

Inhibitor System ◽

Basic Production ◽

Activator Inhibitor

Download Full-text

Pattern formation and Turing instability in an activator–inhibitor system with power-law coupling

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2014.09.059 ◽

2015 ◽

Vol 419 ◽

pp. 487-497 ◽

Cited By ~ 10

Author(s):

F.A. dos S. Silva ◽

R.L. Viana ◽

S.R. Lopes

Keyword(s):

Pattern Formation ◽

Power Law ◽

Turing Instability ◽

Inhibitor System ◽

Activator Inhibitor

Download Full-text

Absence of profound hyperinsulinism in polycystic ovary syndrome is associated with subtle elevations in the plasminogen activator inhibitor system

Gynecological Endocrinology ◽

10.1080/gye.17.3.231.237 ◽

2003 ◽

Vol 17 (3) ◽

pp. 231-237 ◽

Cited By ~ 7

Author(s):

E. Scott Sills ◽

C. D. Drews ◽

M. Perloe ◽

M. J. Tucker ◽

C. R. Kaplan ◽

...

Keyword(s):

Polycystic Ovary Syndrome ◽

Plasminogen Activator ◽

Polycystic Ovary ◽

Plasminogen Activator Inhibitor ◽

Ovary Syndrome ◽

Inhibitor System ◽

Activator Inhibitor

Download Full-text

Front motion and localized states in an asymmetric bistable activator-inhibitor system with saturation

Physical Review E ◽

10.1103/physreve.77.035204 ◽

2008 ◽

Vol 77 (3) ◽

Cited By ~ 18

Author(s):

Arik Yochelis ◽

Alan Garfinkel

Keyword(s):

Localized States ◽

Inhibitor System ◽

Front Motion ◽

Activator Inhibitor

Download Full-text

Nonequilibrium potential approach: Local and global stability of stationary patterns in an activator-inhibitor system with fast inhibition

Physica A Statistical Mechanics and its Applications ◽

10.1016/s0378-4371(97)00047-2 ◽

1997 ◽

Vol 240 (3-4) ◽

pp. 571-585 ◽

Cited By ~ 11

Author(s):

Germán Drazer ◽

Horacio S. Wio

Keyword(s):

Global Stability ◽

Potential Approach ◽

Local And Global Stability ◽

Inhibitor System ◽

Nonequilibrium Potential ◽

Activator Inhibitor

Download Full-text

Effect of partially reflecting boundary conditions on the decay of metastable rest states in an activator-inhibitor system

Physical Review E ◽

10.1103/physreve.55.4005 ◽

1997 ◽

Vol 55 (4) ◽

pp. 4005-4011 ◽

Cited By ~ 7

Author(s):

G. Izús ◽

R. Deza ◽

H. S. Wio ◽

C. Borzi

Keyword(s):

Boundary Conditions ◽

Inhibitor System ◽

Activator Inhibitor

Download Full-text

Front Dynamics in an Activator-Inhibitor System of Equations

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-319-57099-0_55 ◽

2017 ◽

pp. 492-499 ◽

Cited By ~ 7

Author(s):

Alina Melnikova ◽

Natalia Levashova ◽

Dmitry Lukyanenko

Keyword(s):

System Of Equations ◽

Inhibitor System ◽

Activator Inhibitor ◽

Front Dynamics

Download Full-text