Origin of burstingpHoscillations in an enzyme model reaction system (original) (raw)

From simple to complex oscillatory behaviour: Analysis of bursting in a multiply regulated biochemical system

Olivier Decroly, Albert Goldbeter

Journal of Theoretical Biology, 1987

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Nonchaos-Mediated Mixed-Mode Oscillations in an Enzyme Reaction System

Jason Gallas

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Modelling a Biochemical Oscillator

Curt Steinmetz

1988

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Quasiperiodicity route to chaos in a biochemical system

Luis Martinez

Biophysical Journal, 1996

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Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system

Olivier Decroly, Albert Goldbeter

Proceedings of the National Academy of Sciences, 1982

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Finding complex oscillatory phenomena in biochemical systems An empirical approach

Federico Moran

Biophysical Chemistry, 1988

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Nonlinear analyses of periodic and chaotic time series from the peroxidase-oxidase reaction

Curtis Steinmetz

The Journal of Physical Chemistry, 1993

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Chaos in a bienzymatic cyclic model with two autocatalytic loops

Hugues Berry

Chaos, Solitons & Fractals, 2003

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Nonlinear Chemical Dynamics: Oscillations, Patterns, and Chaos

Kenneth Showalter

The Journal of Physical Chemistry, 1996

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The Effect of Slow Allosteric Transitions in a Coupled Biochemical Oscillator Model

Axel Hunding

Journal of Theoretical Biology, 1999

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Bifurcation/chaos and their practical relevance to chemical and biological systems

Said Elnashaie

2014

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Chemical Oscillations in Enzyme Kinetics

Ethan Marin, Enrique Peacock-Lopez

The Chemical Educator, 1996

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Practical Implications of Bifurcation and Chaos in Chemical and Biological Reaction Engineering

Said Elnashaie

International Journal of Chemical Reactor Engineering, 2006

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A New Class of Biochemical Oscillator Models Based on Competitive Binding

Lan Ngô

European Journal of Biochemistry, 1997

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Coexistence of multiple propagating wave-fronts in a regulated enzyme reaction model: link with birhythmicity and multi-threshold excitability

Albert Goldbeter

Biophysical Chemistry, 1998

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Complex and Chaotic Oscillations in a Model for the Catalytic Hydrogen Peroxide Decomposition under Open Reactor Conditions

Ljiljana Kolar-anić, Vladana Vukojević

The Journal of Physical Chemistry A, 2006

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Multiple periodic regimes and final state sensitivity in a biochemical system

Olivier Decroly

Physics Letters A, 1984

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Bifurcations in reaction-diffusion systems in chaotic flows

Georg Gottwald

Physical Review E, 2005

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Structures of chaos in open reaction systems

Vladimir Markovic

Physical Chemistry Chemical Physics, 2011

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Complex Dynamical Response of Chemical and Biochemical Excitable Systems to Periodic Stimuli

Pavel Hasal

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Chaos and intermittent bursting in a reaction-diffusion process

Ioana Triandaf

Chaos, 1996

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Dynamics and mechanism studies of nonlinear chemical systems

Reuben Simoyi

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Period doubling cascades of limit cycles in cardiac action potential models as precursors to chaotic early Afterdepolarizations

M.A.K. Bulelzai

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Chaotic" kinetics, macroscopic fluctuations and long-term stability of the catalytic systems

Lachezar Petrov

Arxiv preprint cond-mat/0404312, 2004

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Structures of chaos in open reaction systemsw

Zeljko D Cupic

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Spatio-Temporal Dynamics of Complex-Periodic and Chaotic Systems

Andrew B Goryachev

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Bursting, Chaos and Birhythmicity Originating from Self-modulation of the Inositol 1,4,5-trisphosphate Signal in a Model for Intracellular Ca2+Oscillations

Gerald Houart, Albert Goldbeter

Bulletin of Mathematical Biology, 1999

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