Universal Lyapunov functions for non-linear reaction networks

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2019.104910 ◽

2019 ◽

Vol 79 ◽

pp. 104910 ◽

Author(s):

Alexander N. Gorban

Keyword(s):

Lyapunov Functions ◽

Reaction Networks ◽

Linear Reaction ◽

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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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Robust Lyapunov functions for Complex Reaction Networks: An uncertain system framework

53rd IEEE Conference on Decision and Control ◽

10.1109/cdc.2014.7039867 ◽

2014 ◽

Author(s):

M. Ali Al-Radhawi ◽

David Angeli

Keyword(s):

Lyapunov Functions ◽

Uncertain System ◽

Reaction Networks ◽

Complex Reaction ◽

System Framework

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Variance of filtered signals: Characterization for linear reaction networks and application to neurotransmission dynamics

Mathematical Biosciences ◽

10.1016/j.mbs.2021.108760 ◽

2021 ◽

pp. 108760

Author(s):

Ariane Ernst ◽

Christof Schütte ◽

Stephan J. Sigrist ◽

Stefanie Winkelmann

Keyword(s):

Reaction Networks ◽

Linear Reaction

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Singular Traveling Waves and Non-linear Reaction-Diffusion Equations

Computational Mathematics, Numerical Analysis and Applications - SEMA SIMAI Springer Series ◽

10.1007/978-3-319-49631-3_5 ◽

2017 ◽

pp. 189-194 ◽

Author(s):

Juan Calvo

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Linear Reaction ◽

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Model reduction and parameter estimation of non-linear dynamical biochemical reaction networks

IET Systems Biology ◽

10.1049/iet-syb.2015.0034 ◽

2016 ◽

Vol 10 (1) ◽

pp. 10-16 ◽

Author(s):

Xiaodian Sun ◽

Mario Medvedovic

Keyword(s):

Parameter Estimation ◽

Model Reduction ◽

Biochemical Reaction ◽

Reaction Networks ◽

Biochemical Reaction Networks ◽

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A monotone weighted average method for a non-linear reaction–diffusion problem

International Journal of Computer Mathematics ◽

10.1080/00207160500112811 ◽

2005 ◽

Vol 82 (8) ◽

pp. 1017-1031 ◽

Author(s):

Igor Boglaev

Keyword(s):

Average Method ◽

Weighted Average ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Weighted Average Method ◽

Linear Reaction ◽

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A note on Richardson extrapolation as an error estimator for non-linear reaction-diffusion problems

Communications in Numerical Methods in Engineering ◽

10.1002/(sici)1099-0887(199707)13:7<533::aid-cnm78>3.0.co;2-7 ◽

1997 ◽

Vol 13 (7) ◽

pp. 533-540 ◽

Author(s):

R. O. ABBASIAN ◽

G. F. CAREY

Keyword(s):

Reaction Diffusion ◽

Richardson Extrapolation ◽

Error Estimator ◽

Linear Reaction ◽

Diffusion Problems

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Quasi wavelet numerical approach of non-linear reaction diffusion and integro reaction-diffusion equation with Atangana–Baleanu time fractional derivative

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.109456 ◽

2020 ◽

Vol 130 ◽

pp. 109456 ◽

Author(s):

Sachin Kumar ◽

Prashant Pandey

Keyword(s):

Diffusion Equation ◽

Fractional Derivative ◽

Reaction Diffusion ◽

Numerical Approach ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Time Fractional Derivative

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Testing the thermal limits: Non-linear reaction norms drive disparate thermal acclimation responses in Drosophila melanogaster

Journal of Insect Physiology ◽

10.1016/j.jinsphys.2019.103946 ◽

2019 ◽

Vol 118 ◽

pp. 103946 ◽

Author(s):

Paul Vinu Salachan ◽

Hélène Burgaud ◽

Jesper Givskov Sørensen

Keyword(s):

Drosophila Melanogaster ◽

Thermal Acclimation ◽

Reaction Norms ◽

Thermal Limits ◽

Linear Reaction ◽

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Travelling waves for a model non-linear reaction-diffusion system

Journal of Physics A General Physics ◽

10.1088/0305-4470/13/7/001 ◽

1980 ◽

Vol 13 (7) ◽

pp. L227-L229 ◽

Author(s):

P Kaliappan ◽

M Lakshmanan ◽

P K Ponnuswamy

Keyword(s):

Travelling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Linear Reaction ◽

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