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Dynamical Systems
An International Journal
Volume 24, 2009 - Issue 1
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Original Articles

Monotonicity in chemical reaction systems

Murad Banaji Department of Mathematics, University College London, London, UK; Department of Biological Sciences, University of Essex, Colchester, Essex, UKCorrespondence[email protected]
Pages 1-30 | Received 09 Dec 2007, Accepted 31 May 2008, Published online: 02 Sep 2010

Citations (22)

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Nicole Radde, Nadav S. Bar & Murad Banaji. (2010) Graphical methods for analysing feedback in biological networks – A survey. International Journal of Systems Science 41:1, pages 35-46.
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Articles from other publishers (21)

Bohao Zhu, James Lam, Xiujuan Lu & Ka-Wai Kwok. (2023) Stability Analysis of Discrete-Time Cone-Preserving Systems With Time-Varying Delays. IEEE Control Systems Letters 7, pages 3181-3186.
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David Angeli. 2021. Encyclopedia of Systems and Control. Encyclopedia of Systems and Control 1320 1327 .
Murad Banaji. (2020) Building Oscillatory Chemical Reaction Networks by Adding Reversible Reactions. SIAM Journal on Applied Mathematics 80:4, pages 1751-1777.
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David Angeli. 2019. Encyclopedia of Systems and Control. Encyclopedia of Systems and Control 1 7 .
Murad Banaji. (2018) Inheritance of oscillation in chemical reaction networks. Applied Mathematics and Computation 325, pages 191-209.
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János Tóth, Attila László Nagy & Dávid PappJános Tóth, Attila László Nagy & Dávid Papp. 2018. Reaction Kinetics: Exercises, Programs and Theorems. Reaction Kinetics: Exercises, Programs and Theorems 77 114 .
Murad Banaji & Casian Pantea. (2016) Some Results on Injectivity and Multistationarity in Chemical Reaction Networks. SIAM Journal on Applied Dynamical Systems 15:2, pages 807-869.
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B. Joshi & A. Shiu. (2015) A Survey of Methods for Deciding Whether a Reaction Network is Multistationary. Mathematical Modelling of Natural Phenomena 10:5, pages 47-67.
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Carsten Conradi & Anne Shiu. (2014) A Global Convergence Result for Processive Multisite Phosphorylation Systems. Bulletin of Mathematical Biology 77:1, pages 126-155.
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David Angeli. 2013. Encyclopedia of Systems and Control. Encyclopedia of Systems and Control 1 9 .
Murad Banaji & Andrew Burbanks. (2013) A graph-theoretic condition for irreducibility of a set of cone preserving matrices. Linear Algebra and its Applications 438:11, pages 4103-4113.
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Murad Banaji & Janusz Mierczyński. (2013) Global convergence in systems of differential equations arising from chemical reaction networks. Journal of Differential Equations 254:3, pages 1359-1374.
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Pete Donnell & Murad Banaji. (2013) Local and Global Stability of Equilibria for a Class of Chemical Reaction Networks. SIAM Journal on Applied Dynamical Systems 12:2, pages 899-920.
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Matthew D. Johnston, David Siegel & G?bor Szederk?nyi. (2011) A linear programming approach to weak reversibility and linear conjugacy of chemical reaction networks. Journal of Mathematical Chemistry 50:1, pages 274-288.
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Murad Banaji. 2012. Transactions on Petri Nets and Other Models of Concurrency V. Transactions on Petri Nets and Other Models of Concurrency V 1 21 .
Yemin Chen & Lingbing He. (2011) Smoothing Estimates for Boltzmann Equation with Full-Range Interactions: Spatially Homogeneous Case. Archive for Rational Mechanics and Analysis 201:2, pages 501-548.
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Murad Banaji. 2011. Design and Analysis of Biomolecular Circuits. Design and Analysis of Biomolecular Circuits 73 92 .
Gheorghe Craciun, Casian Pantea & Eduardo D. Sontag. 2011. Design and Analysis of Biomolecular Circuits. Design and Analysis of Biomolecular Circuits 63 72 .
David Angeli, Patrick De Leenheer & Eduardo Sontag. (2009) Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates. Journal of Mathematical Biology 61:4, pages 581-616.
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Murad Banaji & Gheorghe Craciun. (2010) Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems. Advances in Applied Mathematics 44:2, pages 168-184.
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Murad Banaji & David Angeli. (2010) Convergence in Strongly Monotone Systems with an Increasing First Integral. SIAM Journal on Mathematical Analysis 42:1, pages 334-353.
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