Analysis and Simulations of Coupled Bulk-surface Reaction-Diffusion Systems on Exponentially Evolving Volumes

Mathematical Modelling of Natural Phenomena ◽

10.1051/mmnp/201611502 ◽

2016 ◽

Vol 11 (5) ◽

pp. 4-32 ◽

Author(s):

A. Madzvamuse ◽

A. H. Chung

Keyword(s):

Surface Reaction ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

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Turing-type instabilities in bulk–surface reaction–diffusion systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.02.050 ◽

2015 ◽

Vol 289 ◽

pp. 142-152 ◽

Author(s):

Andreas Rätz

Keyword(s):

Surface Reaction ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

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Entropy Methods and Convergence to Equilibrium for Volume-Surface Reaction-Diffusion Systems

Springer Proceedings in Mathematics & Statistics - From Particle Systems to Partial Differential Equations ◽

10.1007/978-3-319-66839-0_8 ◽

2017 ◽

pp. 153-176 ◽

Author(s):

Klemens Fellner ◽

Bao Quoc Tang

Keyword(s):

Surface Reaction ◽

Reaction Diffusion ◽

Convergence To Equilibrium ◽

Entropy Methods ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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The bulk-surface finite element method for reaction–diffusion systems on stationary volumes

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2015.09.002 ◽

2016 ◽

Vol 108 ◽

pp. 9-21 ◽

Author(s):

Anotida Madzvamuse ◽

Andy H.W. Chung

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Bulk Surface ◽

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Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.04.031 ◽

2018 ◽

Vol 336 ◽

pp. 351-367 ◽

Author(s):

H. Egger ◽

K. Fellner ◽

J.-F. Pietschmann ◽

B.Q. Tang

Keyword(s):

Numerical Solution ◽

Cell Biology ◽

Surface Reaction ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Martin’s Problem for Volume-Surface Reaction-Diffusion Systems

Computational Methods in Applied Sciences - Contributions to Partial Differential Equations and Applications ◽

10.1007/978-3-319-78325-3_19 ◽

2018 ◽

pp. 359-370

Author(s):

Jeff Morgan ◽

Vandana Sharma

Keyword(s):

Surface Reaction ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Singular limit of reaction–diffusion systems and modified motion by mean curvature

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s030821050200046x ◽

2002 ◽

Vol 132 (04) ◽

pp. 951

Keyword(s):

Mean Curvature ◽

Reaction Diffusion ◽

Singular Limit ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Motion By Mean Curvature

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Waves and patterns in reaction diffusion systems. Belousov Zhabotinsky reaction in water-in-oil microemulsions

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.0174.200409d.0991 ◽

2004 ◽

Vol 174 (9) ◽

pp. 991 ◽

Author(s):

Vladimir K. Vanag

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Belousov Zhabotinsky Reaction ◽

Reaction In Water

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Self-propelled dynamics of deformable domain in excitable reaction diffusion systems

Nonlinear Dynamics in Partial Differential Equations ◽

10.2969/aspm/06410137 ◽

2019 ◽

Author(s):

Takao Ohta

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Classification of Traveling Wave Solutions of Reaction-Diffusion Systems.

10.21236/ada167101 ◽

1985 ◽

Author(s):

Konstantin Mischaikow

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Wave Solutions ◽

Diffusion Systems

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A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109490 ◽

2020 ◽

Vol 415 ◽

pp. 109490 ◽

Author(s):

E.O. Asante-Asamani ◽

A. Kleefeld ◽

B.A. Wade

Keyword(s):

Reaction Diffusion ◽

Second Order ◽

Exponential Time ◽

Reaction Diffusion Systems ◽

Exponential Time Differencing ◽

Diffusion Systems ◽

Dimensional Splitting ◽

Linear Reaction ◽

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