Published in Biophys J on October 01, 1972
Design principles of biochemical oscillators. Nat Rev Mol Cell Biol (2008) 4.55
Control of oscillating glycolysis of yeast by stochastic, periodic, and steady source of substrate: a model and experimental study. Proc Natl Acad Sci U S A (1975) 1.67
Patterns of spatiotemporal organization in an allosteric enzyme model. Proc Natl Acad Sci U S A (1973) 1.41
How yeast cells synchronize their glycolytic oscillations: a perturbation analytic treatment. Biophys J (2000) 1.29
Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system. Proc Natl Acad Sci U S A (1982) 1.21
Control of glycolytic dynamics by hexose transport in Saccharomyces cerevisiae. Biophys J (2001) 1.16
Spatial bistability generates hunchback expression sharpness in the Drosophila embryo. PLoS Comput Biol (2008) 1.14
A model of phosphofructokinase and glycolytic oscillations in the pancreatic beta-cell. Biophys J (2003) 1.14
Effect of cellular interaction on glycolytic oscillations in yeast: a theoretical investigation. Biochem J (2000) 1.09
Biological switches and clocks. J R Soc Interface (2008) 1.08
Entrainment and resonance in glycolysis. Proc Natl Acad Sci U S A (1982) 1.03
Control analysis for autonomously oscillating biochemical networks. Biophys J (2002) 1.01
Glycolytic oscillations in isolated rabbit ventricular myocytes. J Biol Chem (2008) 1.01
Dynamics of early afterdepolarization-mediated triggered activity in cardiac monolayers. Biophys J (2012) 0.95
Control of glycolytic oscillations by temperature. Biophys J (2004) 0.93
Metabolic and nontranscriptional circadian clocks: eukaryotes. Annu Rev Biochem (2014) 0.91
Electrical bursting, calcium oscillations, and synchronization of pancreatic islets. Adv Exp Med Biol (2010) 0.89
Peroxisome Proliferator-Activated Receptors and the Heart: Lessons from the Past and Future Directions. PPAR Res (2015) 0.87
Generalization of the theory of transition times in metabolic pathways: a geometrical approach. Biophys J (1999) 0.87
The number of catalytic elements is crucial for the emergence of metabolic cores. PLoS One (2009) 0.87
An equation-free approach to analyzing heterogeneous cell population dynamics. J Math Biol (2007) 0.86
Positive feedback promotes oscillations in negative feedback loops. PLoS One (2014) 0.85
Global self-organization of the cellular metabolic structure. PLoS One (2008) 0.85
Patterns of spatiotemporal organization in an "ambiquitous" enzyme model. Proc Natl Acad Sci U S A (1992) 0.83
Bifurcation theory and cardiac arrhythmias. Am J Cardiovasc Dis (2013) 0.83
Quantitative analysis of the effective functional structure in yeast glycolysis. PLoS One (2012) 0.82
Oxidative stress, fibrosis, and early afterdepolarization-mediated cardiac arrhythmias. Front Physiol (2013) 0.82
Quantifying the relative contributions of divisive and subtractive feedback to rhythm generation. PLoS Comput Biol (2011) 0.82
Limit-cycle oscillations and chaos in reaction networks subject to conservation of mass. Proc Natl Acad Sci U S A (1989) 0.82
The free energy cost of accurate biochemical oscillations. Nat Phys (2015) 0.81
Global self-regulation of the cellular metabolic structure. PLoS One (2010) 0.80
Turing patterns inside cells. PLoS One (2007) 0.80
Control of cell growth, division and death: information processing in living cells. Interface Focus (2014) 0.80
Cell population modelling of yeast glycolytic oscillations. Biochem J (2002) 0.80
Unraveling the complex regulatory relationships between metabolism and signal transduction in cancer. Adv Exp Med Biol (2012) 0.79
The metabolic core and catalytic switches are fundamental elements in the self-regulation of the systemic metabolic structure of cells. PLoS One (2011) 0.79
Calcium and Metabolic Oscillations in Pancreatic Islets: Who's Driving the Bus?(*) SIAM J Appl Dyn Syst (2015) 0.79
The chemical master equation approach to nonequilibrium steady-state of open biochemical systems: linear single-molecule enzyme kinetics and nonlinear biochemical reaction networks. Int J Mol Sci (2010) 0.79
Approaches to biosimulation of cellular processes. J Biol Phys (2006) 0.79
Quantitative analysis of cellular metabolic dissipative, self-organized structures. Int J Mol Sci (2010) 0.78
PPARs, Cardiovascular Metabolism, and Function: Near- or Far-from-Equilibrium Pathways. PPAR Res (2010) 0.78
Attractor metabolic networks. PLoS One (2013) 0.77
Entrainment of heterogeneous glycolytic oscillations in single cells. Sci Rep (2015) 0.77
On the dynamics of the adenylate energy system: homeorhesis vs homeostasis. PLoS One (2014) 0.77
The hyperbolic effect of density and strength of inter beta-cell coupling on islet bursting: a theoretical investigation. Theor Biol Med Model (2008) 0.77
Exploring the genetic control of glycolytic oscillations in Saccharomyces cerevisiae. BMC Syst Biol (2012) 0.77
The interaction graph structure of mass-action reaction networks. J Math Biol (2011) 0.76
Inward rotating spiral waves in glycolysis. Biophys J (2010) 0.76
Correlation analysis a tool for comparing relaxation-type models to experimental data. Methods Enzymol (2009) 0.76
Diffusive coupling can discriminate between similar reaction mechanisms in an allosteric enzyme system. BMC Syst Biol (2010) 0.75
Potential role of the glycolytic oscillator in acute hypoxia in tumors. Phys Med Biol (2015) 0.75
ON THE NATURE OF ALLOSTERIC TRANSITIONS: A PLAUSIBLE MODEL. J Mol Biol (1965) 46.35
Oscillatory behavior in enzymatic control processes. Adv Enzyme Regul (1965) 3.77
DAMPED SINUSOIDAL OSCILLATIONS OF CYTOPLASMIC REDUCED PYRIDINE NUCLEOTIDE IN YEAST CELLS. Proc Natl Acad Sci U S A (1964) 3.47
Oscillations of glycolytic intermediates in yeast cells. Biochem Biophys Res Commun (1964) 3.22
Initiation of slime mold aggregation viewed as an instability. J Theor Biol (1970) 3.14
Kinetics of the allosteric interactions of phosphofructokinase from Escherichia coli. J Mol Biol (1968) 2.69
A CHEMICAL MECHANISM FOR OSCILLATION OF GLYCOLYTIC INTERMEDIATES IN YEAST CELLS. Proc Natl Acad Sci U S A (1964) 2.45
Cooperation of glycolytic enzymes. Adv Enzyme Regul (1969) 2.26
Biological order, structure and instabilities. Q Rev Biophys (1971) 2.00
Sustained sinusoidal oscillations of reduced pyridine nucleotide in a cell-free extract of Saccharomyces carlsbergensis. Proc Natl Acad Sci U S A (1966) 1.98
PHASE RELATIONSHIP OF GLYCOLYTIC INTERMEDIATES IN YEAST CELLS WITH OSCILLATORY METABOLIC CONTROL. Arch Biochem Biophys (1965) 1.97
A phase-shift model for the spatial and temporal organization of developing systems. J Theor Biol (1969) 1.67
Biochemical oscillations in "controlled" systems. Biophys J (1967) 1.11
Symmetry breaking instabilities in biological systems. Nature (1969) 1.03
Fluctuating metabolite levels in yeast cells and extracts, and the control of phosphofructokinase activity in vitro. Arch Biochem Biophys (1967) 1.01
Continuous oscillations in a cell-free extract of S. carlsbergensis. Biochem Biophys Res Commun (1966) 0.91
Sustained oscillations in a lactoperoxidase. NADPH and O2 system. Nature (1969) 0.89
Chemical instabilities and sustained oscillations. J Theor Biol (1971) 0.86
Stability of controlled biological systems. J Theor Biol (1969) 0.86
Some conditions for sustained oscillations in biochemical chains with feedback inhibition. Bull Math Biophys (1969) 0.83
Autogenous cellular periodicities as (a) temporal templates and (b) the basis of "morphogenetic fields". J Theor Biol (1965) 0.82
An amplified sensitivity arising from covalent modification in biological systems. Proc Natl Acad Sci U S A (1981) 10.04
Amplification and adaptation in regulatory and sensory systems. Science (1982) 4.19
A model for circadian rhythms in Drosophila incorporating the formation of a complex between the PER and TIM proteins. J Biol Rhythms (1998) 2.76
Limit cycle models for circadian rhythms based on transcriptional regulation in Drosophila and Neurospora. J Biol Rhythms (1999) 2.71
Ultrasensitivity in biochemical systems controlled by covalent modification. Interplay between zero-order and multistep effects. J Biol Chem (1984) 2.59
Sensitivity amplification in biochemical systems. Q Rev Biophys (1982) 2.16
A Model Based on Receptor Desensitization for Cyclic AMP Signaling in Dictyostelium Cells. Biophys J (1987) 1.79
Control of oscillating glycolysis of yeast by stochastic, periodic, and steady source of substrate: a model and experimental study. Proc Natl Acad Sci U S A (1975) 1.67
[A theory of electric excitation of biological membranes]. C R Acad Sci Hebd Seances Acad Sci D (1970) 1.63
A molecular mechanism for sensory adaptation based on ligand-induced receptor modification. Proc Natl Acad Sci U S A (1986) 1.56
A mechanism for exact sensory adaptation based on receptor modification. J Theor Biol (1986) 1.54
Patterns of spatiotemporal organization in an allosteric enzyme model. Proc Natl Acad Sci U S A (1973) 1.41
One-pool model for Ca2+ oscillations involving Ca2+ and inositol 1,4,5-trisphosphate as co-agonists for Ca2+ release. Cell Calcium (1993) 1.38
Signal-induced Ca2+ oscillations: properties of a model based on Ca(2+)-induced Ca2+ release. Cell Calcium (1991) 1.29
Properties of intracellular Ca2+ waves generated by a model based on Ca(2+)-induced Ca2+ release. Biophys J (1994) 1.27
Deterministic versus stochastic models for circadian rhythms. J Biol Phys (2002) 1.27
Energy expenditure in the control of biochemical systems by covalent modification. J Biol Chem (1987) 1.26
Frequency specificity in intercellular communication. Influence of patterns of periodic signaling on target cell responsiveness. Biophys J (1989) 1.24
A model for a network of phosphorylation-dephosphorylation cycles displaying the dynamics of dominoes and clocks. J Theor Biol (2001) 1.22
Oscillatory enzymes. Annu Rev Biophys Bioeng (1976) 1.21
Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system. Proc Natl Acad Sci U S A (1982) 1.21
Modeling the molecular regulatory mechanism of circadian rhythms in Drosophila. Bioessays (2000) 1.18
Metabolic oscillations in biochemical systems controlled by covalent enzyme modification. Biochimie (1981) 1.12
Desynchronization of cells on the developmental path triggers the formation of spiral waves of cAMP during Dictyostelium aggregation. Proc Natl Acad Sci U S A (1997) 1.11
Unified mechanism for relay and oscillation of cyclic AMP in Dictyostelium discoideum. Proc Natl Acad Sci U S A (1977) 1.10
Mechanism for oscillatory synthesis of cyclic AMP in Dictyostelium discoideum. Nature (1975) 1.04
Symmetry breaking instabilities in biological systems. Nature (1969) 1.03
Modeling oscillations and waves of cAMP in Dictyostelium discoideum cells. Biophys Chem (1998) 1.03
Oscillations and waves of cytosolic calcium: insights from theoretical models. Bioessays (1992) 1.02
Simple molecular model for sensing and adaptation based on receptor modification with application to bacterial chemotaxis. J Mol Biol (1982) 1.02
Complex intracellular calcium oscillations. A theoretical exploration of possible mechanisms. Biophys Chem (1997) 1.02
Autonomous chaotic behaviour of the slime mould Dictyostelium discoideum predicted by a model for cyclic AMP signalling. Nature (1985) 1.01
Control of developmental transitions in the cyclic AMP signalling system of Dictyostelium discoideum. Differentiation (1980) 1.00
Modeling the dynamics of human hair cycles by a follicular automaton. Proc Natl Acad Sci U S A (2000) 0.96
Temperature compensation of circadian rhythms: control of the period in a model for circadian oscillations of the per protein in Drosophila. Chronobiol Int (1997) 0.96
Bistability in fluctuating environments. Implications in tumor immunology. Bull Math Biol (1979) 0.95
Theoretical models for circadian rhythms in Neurospora and Drosophila. C R Acad Sci III (2000) 0.95
Voltage-noise-induced transitions in electrically excitable membranes. Biophys J (1981) 0.93
Bursting, chaos and birhythmicity originating from self-modulation of the inositol 1,4,5-trisphosphate signal in a model for intracellular Ca2+ oscillations. Bull Math Biol (1999) 0.93
CaM kinase II as frequency decoder of Ca2+ oscillations. Bioessays (1998) 0.91
Alternating oscillations and chaos in a model of two coupled biochemical oscillators driving successive phases of the cell cycle. Ann N Y Acad Sci (1999) 0.90
Protein phosphorylation driven by intracellular calcium oscillations: a kinetic analysis. Biophys Chem (1992) 0.90
Modulation of the adenylate energy charge by sustained metabolic oscillations. FEBS Lett (1974) 0.90
Modeling spiral Ca2+ waves in single cardiac cells: role of the spatial heterogeneity created by the nucleus. Am J Physiol (1996) 0.87
A molecular explanation for the long-term suppression of circadian rhythms by a single light pulse. Am J Physiol Regul Integr Comp Physiol (2001) 0.87
Chemical instabilities and sustained oscillations. J Theor Biol (1971) 0.86
Complex oscillatory phenomena, including multiple oscillations, in regulated biochemical systems. Biomed Biochim Acta (1985) 0.86
Pulsatile signaling in intercellular communication. Periodic stimuli are more efficient than random or chaotic signals in a model based on receptor desensitization. Biophys J (1992) 0.85
Temporal self-organization in biochemical systems: periodic behavior vs. chaos. Am J Physiol (1983) 0.85
Kinetic cooperativity in the concerted model for allosteric enzymes. Biophys Chem (1976) 0.83
Modelling the dual role of Per phosphorylation and its effect on the period and phase of the mammalian circadian clock. IET Syst Biol (2011) 0.83
Modeling the differential fitness of cyanobacterial strains whose circadian oscillators have different free-running periods: comparing the mutual inhibition and substrate depletion hypotheses. J Theor Biol (2000) 0.83
Onset of birhythmicity in a regulated biochemical system. Biophys Chem (1984) 0.81
Latency correlates with period in a model for signal-induced Ca2+ oscillations based on Ca2(+)-induced Ca2+ release. Cell Regul (1990) 0.81
The follicular automaton model: effect of stochasticity and of synchronization of hair cycles. J Theor Biol (2002) 0.81
Bistability in the isocitrate dehydrogenase reaction: an experimentally based theoretical study. Biophys J (1998) 0.80
Letter: Kinetic negative co-operativity in the allosteric model of Monod, Wyman and Changeux. J Mol Biol (1974) 0.78
Nonequilibrium chemistry in confined environments: a lattice Brusselator model. Phys Rev E Stat Nonlin Soft Matter Phys (2013) 0.78
The glucose-induced switch between glycogen phosphorylase and glycogen synthase in the liver: outlines of a theoretical approach. J Theor Biol (1996) 0.78
Oscillations and bistability predicted by a model for a cyclical bienzymatic system involving the regulated isocitrate dehydrogenase reaction. Biophys Chem (2000) 0.78
Frequency encoding of pulsatile signals of cAMP based on receptor desensitization in Dictyostelium cells. J Theor Biol (1990) 0.78
From bistability to oscillations in a model for the isocitrate dehydrogenase reaction. Biophys Chem (1998) 0.77
From simple to complex oscillatory behaviour: analysis of bursting in a multiply regulated biochemical system. J Theor Biol (1987) 0.77
Excitability in the adenylate cyclase reaction in Dictyostelium discoideum. FEBS Lett (1978) 0.77
A kinetic approach to the immunology of cancer: stationary states properties of effector-target cell reactions. J Theor Biol (1978) 0.77
Oscillatory isozymes as the simplest model for coupled biochemical oscillators. J Theor Biol (1989) 0.76
Allosteric oscillatory enzymes: influence of the number of protomers on metabolic periodicities. Biochimie (1979) 0.76
On the role of enzyme cooperativity in metabolic oscillations: analysis of the Hill coefficient in a model for glycolytic periodicities. Biophys Chem (1976) 0.76
Analysis of the role of enzyme co-operativity in metabolic oscillations. J Mol Biol (1980) 0.76
Letter: Myocardial infarction. Br Med J (1976) 0.75
[Deterministic and stochastic models for circadian rhythms]. Pathol Biol (Paris) (2003) 0.75
Sex and the single girl. Br Med J (1972) 0.75
Dealing with addicts--one GP's personal experience. J R Coll Gen Pract (1988) 0.75
Membrane excitability and dissipative instabilities. J Membr Biol (1970) 0.75
Coexistence of multiple propagating wave-fronts in a regulated enzyme reaction model: link with birhythmicity and multi-threshold excitability. Biophys Chem (1998) 0.75
Doctor-patient relationships. Br Med J (1972) 0.75
Nurse practitioners: starting from scratch. Nurs Mirror (1982) 0.75
Excitability with multiple thresholds. A new mode of dynamic behavior analyzed in a regulated biochemical system. Biophys Chem (1985) 0.75
[A theory for sodium ion transport during electric stimulation]. C R Acad Sci Hebd Seances Acad Sci D (1972) 0.75
Selection between multiple periodic regimes in a biochemical system: complex dynamic behaviour resolved by use of one-dimensional maps. J Theor Biol (1985) 0.75
Thermodynamic and kinetic aspects of regulation. Acta Biochim Biophys Acad Sci Hung (1977) 0.75
Letter: Democracy in the Health Service. Br Med J (1974) 0.75
[Kinetic study of carcinogenesis. Diffusion of cytotoxic cells and the behavior at the threshold of cancer]. C R Acad Sci Hebd Seances Acad Sci D (1977) 0.75
"More pay for me". Lancet (1979) 0.75
Suppression of chaos by periodic oscillations in a model for cyclic AMP signalling in Dictyostelium cells. Experientia (1992) 0.75
The philosophy of the British National Health Service is wrong. Oper Dent (1981) 0.75
[Kinetic study of carcinogenesis. The immune barrier and the stability of microcancer states]. C R Acad Sci Hebd Seances Acad Sci D (1977) 0.75