An Allosteric Enzyme Model with Positive Feedback Applied to Glycolytic Oscillations

On the nature of allosteric transitions: A plausible model

1965 • 8,699 citations

Genetic regulatory mechanisms in the synthesis of proteins

1961 • 6,378 citations

Metabolic stability and epigenesis in randomly constructed genetic nets

1969 • 4,565 citations

Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons

1972 • 3,499 citations

Nonequilibrium thermodynamics

1963 • 3,428 citations

Thermodynamic Theory of Structure, Stability and Fluctuations

1973 • 3,029 citations

Comparison of Experimental Binding Data and Theoretical Models in Proteins Containing Subunits^*

1966 • 2,956 citations

Energy charge of the adenylate pool as a regulatory parameter. Interaction with feedback modifiers

1968 • 2,371 citations

Biological rhythms and the behavior of populations of coupled oscillators

1967 • 1,935 citations

Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System

1970 • 1,839 citations

A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue

1973 • 1,815 citations

Model for chemotaxis

1971 • 1,679 citations

Spiral Waves of Chemical Activity

1972 • 1,200 citations

Introduction to thermodynamics of irreversible processes

1967 • 1,031 citations

Boolean formalization of genetic control circuits

1973 • 921 citations

Diffusion in Embryogenesis

1970 • 895 citations

Adenylate Energy Charge inEscherichia coliDuring Growth and Starvation

1971 • 772 citations

Nonlinear Oscillations in Physical Systems

1965 • 756 citations

Self‐Oscillations in Glycolysis 1. A Simple Kinetic Model

1968 • 737 citations

Topics in Stability and Bifurcation Theory

1973 • 696 citations

The acrasin activity of adenosine-3',5'-cyclic phosphate.

1967 • 494 citations

Oscillatory Phenomena in Biochemistry

1971 • 486 citations

Temporal organization in cells

1965 • 476 citations

Biological Oscillators: their Mathematical Analysis

1973 • 452 citations

Kinetics of the allosteric interactions of phosphofructokinase from Escherichia coli

1968 • 416 citations

Traveling Wave Solutions of a Nerve Conduction Equation

1973 • 412 citations

Plane Wave Solutions to Reaction‐Diffusion Equations

1973 • 402 citations

Scroll-Shaped Waves of Chemical Activity in Three Dimensions

1973 • 360 citations

General Systems Theory

2017 • 350 citations

[PERIODIC COURSE OF THE OXIDATION OF MALONIC ACID IN A SOLUTION (STUDIES ON THE KINETICS OF BEOLUSOV'S REACTION)].

1964 • 339 citations

Dissipative Structures for an Allosteric Model

1972 • 338 citations

A phase-shift model for the spatial and temporal organization of developing systems

1969 • 329 citations

Mathematics of cellular control processes I. Negative feedback to one gene

1968 • 328 citations

Control of cell-contact sites by cyclic AMP pulses in differentiating Dictyostelium cells

1975 • 320 citations

Stability in Randomly Fluctuating Versus Deterministic Environments

1973 • 319 citations

The Theory of Oscillating Reactions - Kinetics Symposium

1967 • 308 citations

Intracellular oscillations and release of cyclic AMP from Dictyostelium cells

1975 • 305 citations

Oscillations of glycolytic intermediates in yeast cells

1964 • 304 citations

Biological and Biochemical Oscillators

1973 • 293 citations

Autowave processes in a distributed chemical system

1973 • 292 citations

On the mathematical status of the pseudo-steady state hypothesis of biochemical kinetics

1967 • 286 citations

Regulatory Functions of Biological Membranes.

1969 • 278 citations

Cyclic-AMP-Controlled Oscillations in Suspended Dictyostelium Cells: Their Relation to Morphogenetic Cell Interactions

1974 • 261 citations

Biological Feedback Control at the Molecular Level

1965 • 250 citations

Chemotactic signals induce cell differentiation in Dictyostelium discoideum.

1975 • 248 citations

A CHEMICAL MECHANISM FOR OSCILLATION OF GLYCOLYTIC INTERMEDIATES IN YEAST CELLS

1964 • 244 citations

Chapter 6 Cell Aggregation and Differentiation in Dictyostelium

1968 • 242 citations

Some further studies of nonlinear oscillations in chemical systems

1973 • 218 citations

Control of oscillating glycolysis of yeast by stochastic, periodic, and steady source of substrate: a model and experimental study.

1975 • 217 citations

Chemical oscillations

1973 • 216 citations

Secretion of cyclic AMP induced by cyclic AMP in the cellular slime mould Dictyostelium discoideum

1975 • 216 citations

Cooperation of glycolytic enzymes

1969 • 214 citations

Elements of the Theory of Markov Processes and Their Applications

1961 • 212 citations

Chemical instabilities and sustained oscillations

1971 • 195 citations

Allosteric Interactions on Biosynthetic L-threonine Deaminase from E. coli K12

1963 • 192 citations

Amplification of cyclic‐AMP signals in aggregating cells of Dictyostelium discoideum

1975 • 190 citations

Theoretical Physics and Biology

1969 • 180 citations

Branching of Solutions of Nonlinear Equations

1971 • 173 citations

Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions

1975 • 168 citations

OSCILLATORY ENZYMES

1976 • 164 citations

Fluctuations in Nonequilibrium Systems

1971 • 163 citations

Wave propagation in the early stages of aggregation of cellular slime molds

1971 • 162 citations

Oscillatory Chemical Reactions

1974 • 145 citations

Symmetry Breaking Instabilities in Biological Systems

1969 • 143 citations

Localized Spatial Structures and Nonlinear Chemical Waves in Dissipative Systems

1972 • 136 citations

Membrane excitability and dissipative instabilities

1970 • 131 citations

Allosteric Effects in Hemoglobin

1963 • 131 citations

Properties of two-component bimolecular and trimolecular chemical reaction systems

1973 • 130 citations

Mechanism of Glycolytic Oscillation in Yeast, I. Aerobic and anaerobic growth conditions for obtaining glycolytic oscillation

1968 • 129 citations

Phosphofructokinase* *Some of the studies carried out by the author and reviewed here were supported by the U. S. Public Health Service Research Grant (AI04214) from the National Institute of Allergy and Infectious Diseases and a grant-in-aid from the American Heart Association.

1972 • 125 citations

Biochemical mechanisms underlying the metabolic oscillations in yeast

1969 • 119 citations

Metabolic coupling and synchronization of NADH oscillations in yeast cell populations

1971 • 117 citations

Control of mitosis by a continuous biochemical oscillation: Synchronization; spatially inhomogeneous oscillations

1975 • 116 citations

Analysis and simulation of biochemical systems

1972 • 115 citations

The mitotic oscillator in Physarum polycephalum

1975 • 114 citations

Bifurcation analysis of nonlinear reaction-diffusion equations—II. Steady state solutions and comparison with numerical simulations

1975 • 112 citations

Phase waves in oscillatory chemical reactions

1973 • 112 citations

The purine nucleotide cycle. Control of phosphofructokinase and glycolytic oscillations in muscle extracts

1975 • 108 citations

Influence of allosteric ligands on the activity and aggregation of rabbit muscle phosphofructokinase

1973 • 105 citations

Dissipative Structures in Chemical Systems

1968 • 104 citations

Patterns of Spatiotemporal Organization in an Allosteric Enzyme Model

1973 • 103 citations

Circadian Rhythm: Population of Interacting Neurons

1971 • 101 citations

Metabolic Control Phenomena Involved in Damped Sinusoidal Oscillations of Reduced Diphosphopyridine Nucleotide in a Cell-free Extract of Saccharomyces carlsbergensis

1965 • 98 citations

The Purine Nucleotide Cycle

1974 • 98 citations

Sustained sinusoidal oscillations of reduced pyridine nucleotide in a cell-free extract of Saccharomyces carlsbergensis.

1966 • 98 citations

Aspects of Aggregation in Cellular Slime Moulds 1. Orientation and Chemotaxis

1957 • 97 citations

Bifurcation analysis of nonlinear reaction-diffusion equations—II. Steady state solutions and comparison with numerical simulations

1975 • 95 citations

Linear Analysis of the Dynamics of Neural Masses

1972 • 92 citations

Influence of inhibitors and temperature on the oscillation of reduced pyridine nucleotides in yeast cells

1965 • 91 citations

Sustained Oscillations in a Lactoperoxidase, NADPH and O2 System

1969 • 90 citations

Dissipative Structures, Catastrophes, and Pattern Formation: A Bifurcation Analysis

1974 • 83 citations

Biochemical oscillations in "controlled" systems

1967 • 81 citations

The phosphofructokinase of Dictyostelium discoideum

1968 • 79 citations

Mechanism for oscillatory synthesis of cyclic AMP in Dictyostelium discoideum

1975 • 76 citations

The occurrence and the significance of limit cycle behavior in controlled biochemical systems

1970 • 74 citations

Sustained oscillations of ionic constituents of mitochondria

1966 • 72 citations

Continuous oscillations in a cell-free extract of S.carlsbergensis

1966 • 70 citations

An experimental enzyme-membrane oscillator

1973 • 70 citations

Chemical oscillations and multiple steady states due to variable boundary permeability

1973 • 68 citations

Control of Developing Fields

1972 • 66 citations

Waves, Pulses, and the Theory of Neural Masses

1972 • 66 citations

Membrane transport as controlling pacemaker of glycolysis in Saccharomyces carlsbergensis

1972 • 66 citations

Morphogenesis and chemical dissipative structures

1972 • 65 citations

Chemical Oscillations in a Membrane

1973 • 64 citations

Models for cell differentiation and generation of polarity in diffusion-governed morphogenetic fields

1975 • 62 citations

Models for cell differentiation and generation of polarity in diffusion-governed morphogenetic fields

1975 • 62 citations

Quantitative Biology of Metabolism

1968 • 59 citations

Sustained Oscillations in a Catalytic Chemical System

1961 • 59 citations

Control of reduced diphosphopyridine nucleotide oscillations in beef heart extracts

1968 • 59 citations

CONTROL OF THE WAVEFORM OF OSCILLATIONS OF THE REDUCED PYRIDINE NUCLEOTIDE LEVEL IN A CELL-FREE EXTRACT

1964 • 58 citations

Oscillatory glycolysis in yeast: The pattern of phase resetting by oxygen

1972 • 57 citations

Waveform generation by enzymatic oscillators

1967 • 53 citations

Fluctuating metabolite levels in yeast cells and extracts, and the control of phosphofructokinase activity in vitro

1967 • 51 citations

Nonequilibrium Thermodynamics and Its Application to Bioenergetics

1971 • 48 citations

Control of reduced diphosphopyridine nucleotide oscillations in beef heart extracts

1968 • 47 citations

Stability of controlled biological systems

1969 • 46 citations

Possible allosteric effects in extended biological systems

1969 • 45 citations

Information Transmission in a Diffusion-Coupled Oscillatory Chemical System

1973 • 43 citations

A 5′-Adenosine Monophosphate-Dependent Adenylate Cyclase and an Adenosine 3′:5′-Cyclic Monophosphate-Dependent Adenosine Triphosphate Pyrophosphohydrolase in Dictyostelium discoideum

1973 • 42 citations

Oscillations of nucleotides and glycolytic intermediates in aerobic suspensions of Ehrlich ascites tumor cells

1967 • 42 citations

Modulation of the adenylate energy charge by sustained metabolic oscillations

1974 • 41 citations

Oscillations in Controlled Biochemical Systems

1969 • 35 citations

Spatial structures in dissipative systems

1974 • 33 citations

Oscillations in glycolysis, cellular respiration and communication

1974 • 30 citations

Regulation of the Catabolic Ornithine Carbamoyltransferase of Pseudomonas fluorescens

1972 • 29 citations

Models for Positional Information and Positional Differentiation

1974 • 29 citations

Some conditions for sustained oscillations in biochemical chains with feedback inhibition

1969 • 29 citations

Metabolic control in flow systems

1970 • 29 citations

Transient induced oscillations in the level of ATP in Chlorella fusca

1972 • 28 citations

Transfer function analysis of an oscillatory model chemical system

1967 • 28 citations

Oscillatory states of mitochondria

1974 • 27 citations

Endogenous rhythmicity and energy transductionv. rhythmicity in adenine nucleotides and energy charge in seedlings of Chenopodium rubrum∗∗

1974 • 26 citations

Control of reduced diphosphopyridine nucleotide oscillations in beef heart extracts

1968 • 26 citations

Kinetic cooperativity in the concerted model for allosteric enzymes

1976 • 25 citations

Adenine nucleotide control of heart mitochondrial oscillations

1971 • 25 citations

Dissipative structures in chemical oscillations with concentrations-dependent frequency

1973 • 25 citations

Fluctuations and the onset of instabilities in nonequilibrium systems

1974 • 24 citations

On the possibility of self‐oscillations in the lower part of the glycolytic system

1973 • 22 citations

Measuring a mitotic oscillator: The ARC discontinuity

1974 • 21 citations

A frequency entrainment model with relevance to systems displaying adaptive behaviour

1973 • 20 citations

Control of phosphofructokinase [PFK] activity in conditions simulating those of glycolysing yeast extract

1969 • 20 citations

The oxidation of haemoglobin

1967 • 18 citations

Membranes, Dissipative Structures and Evolution

1976 • 17 citations

Absence of kinetic negative co-operativity in the allosteric model of Monod, Wyman and Changeux

1975 • 16 citations

Yeast phosphofructokinase

1973 • 11 citations

Critical Length of the Transport-Dominated Region for Oscillating Non-Linear Reactive Processes

1974 • 11 citations

Stability, fluctuations and complexity

1975 • 7 citations

Stable circadian rhythms as a property of cell populations.

1970 • 5 citations