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Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems

SIAM Journal on Applied Dynamical Systems, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edgardo Villar-Sepúlveda   +1 more
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On modelling pattern formation by activator-inhibitor systems

Journal of Mathematical Biology, 1977
The formation of spatially patterned structures in biological organisms has been modelled in recent years by various mechanisms, including pairs of reaction-diffusion equations $$u_t = D_{\text{1}} \nabla ^{\text{2}} u + f(u,v)$$ , $$v_t = D_{\text{2}} \nabla ^{\text{2}} v + g(u,v)$$ .
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Decaying localized structures beyond Turing space in an activator–inhibitor system

The European Physical Journal Plus, 2020
We perform numerical simulations beyond Turing space in an activator–inhibitor system involving quadratic and cubic nonlinearities . We show that while all the three fixed points of the system are stable nodes, it exhibits spatially stable patterns as diverse as labyrinths, worms, negatons, and combination of them.
Dhritiman Talukdar, Kishore Dutta
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Fibrinolytic system of cultured endothelial cells: Regulation by plasminogen activator inhibitor

Journal of Cellular Biochemistry, 1986
AbstractCultured bovine aortic endothelial cells have a relatively complex flbrinolytic system that is responsive to both the physiological state of the cell itself and to a variety of agents added to the culture medium. The flbrinolytic activity of these cells results from the production of both urokinase‐type and tissue‐type plasminogen activators ...
D J, Loskutoff   +3 more
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Asymptotic Solution of Activator Inhibitor Systems for Nonlinear Reaction Diffusion Equations

Journal of Systems Science and Complexity, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mo, Jiaqi, Lin, Wantao
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Propagation of fronts in activator-inhibitor systems with a cutoff

The European Physical Journal B, 2005
We consider a two-component system of reaction-diffusion equations with a small cutoff in the reaction term. A semi-analytical solution of fronts and how the front velocities vary with the parameters are given for the case when the system has a piecewise linear nonlinearity.
E. P. Zemskov, V. Méndez
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No Oscillations in Real Activator–Inhibitor Systems in Accomplishing Pattern Formation

Bulletin of Mathematical Biology, 2012
In contrast to the claims put forward in several recent papers in this journal, for the known activator–inhibitor systems for pattern formation there is no risk to enter into an oscillating mode. In these systems, the inhibition takes place outside of the cells by blocking the receptors that are involved in the self-enhancing reaction. Therefore, there
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Front Dynamics in an Activator-Inhibitor System of Equations

2017
We consider the construction of formal asymptotic approximation for solution of the singularly perturbed boundary value problem of an activator-inhibitor type with a solution in a form of moving front. Corresponding asymptotic analysis provides a priori information about the localization of the transition point for moving front that is further used for
Alina Melnikova   +2 more
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Disturbances in the tissue plasminogen activator/plasminogen activator inhibitor (TPA/PAI) system in systemic lupus erythematosus

American Journal of Hematology, 1991
AbstractIncreased thrombogenesis observed in systemic lupus erythematosus (SLE) is derived from multiple mechanisms, including: Enhanced coagulation factor VIII:VWf activity, lupus anticoagulants, anti‐phospholipid antibodies, acquired deficiencies of natural anti‐thrombotic mechanisms (protein C, protein S, anti‐thrombin III), and impaired ...
G J, Ruiz-Argüelles   +6 more
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Plasminogen activator/plasminogen activator inhibitor-1 and cytokine modulation by the PROACT™ system

Fertility and Sterility, 2003
To examine the effects of the PROACT treatment on the fibrinolytic system and inflammatory cytokines in human peritoneum.Controlled clinical study.University hospital.Nine subjects undergoing laparotomy had peritoneal samples taken at the incision.The PROACT applicator was inserted through the peritoneal incision, and treatment of peritoneum was ...
Marie-Louise, Ivarsson   +3 more
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