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Delays in physiological systems

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Periodic solutions of ẋ(t) = –f(x(t), x(t – 1))
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Period Three Implies Chaos
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Optimal Estimation in Approximation Theory
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Some Aspects of the Mathematics of Limulus
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Integrodifferential Equations and Delay Models in Population Dynamics
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Time Lags in Biological Models
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Theory of the response of the limulus retina to periodic excitation
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Periodic solutions of difference-differential equations
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Some periodicity criteria for functional differential equations
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Some conditions for sustained oscillations in biochemical chains with feedback inhibition
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Delay equations in biology
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Existence of periodic solutions of autonomous functional differential equations
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On the nonlinear differential delay equation x′(t) = −f(x(t), x(t − 1))
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Existence of periodic solutions for negative feedback cellular control systems
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Periodic solutions of a nonlinear second order differential equation with delay
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Advances in enzyme regulation
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Mathematics of cellular control processes I. Negative feedback to one gene
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Mathematics of cellular control processes II. Positive feedback to one gene
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Time lag in a model of a biochemical reaction sequence with end product inhibition
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A note on difference-delay equations
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Oscillatory behavior in enzymatic control processes
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The chemical kinetics of enzyme action
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The Dynamics of Feedback Control Circuits in Biochemical Pathways
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Introduction to the Theory and Application of Differential Equations with Deviating Arguments
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Differential-Difference Equations
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Visual control of orientation behaviour in the fly: Part I. A quantitative analysis
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Real-time delayed tracking in flies
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Simple mathematical models with very complicated dynamics
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ON TUNING AND AMPLIFICATION BY LATERAL INHIBITION
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A Quantitative Description of the Dynamics of Excitation and Inhibition in the Eye of Limulus
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Oscillation and Chaos in Physiological Control Systems
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Periodic Solutions of Certain Nonlinear Integral Equations with a Time Lag
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Introduction to the Theory and Application of Differential Equations with Deviating Arguments (L. E. El’sgol’ts and S. B. Norkin)
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DIFFERENTIAL-DIFFERENCE EQUATIONS
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Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis
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The Chemical Kinetics of Enzyme Action
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Period Three Implies Chaos
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Integrodifferential Equations and Delay Models in Population Dynamics.
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Time Delays, Density-Dependence and Single-Species Oscillations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Variational calculation of the limit cycle and its frequency in a two-neuron model with delay
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Probabilistic Properties of Delay Differential Equations
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Tutorial of numerical continuation and bifurcation theory for systems and synthetic biology
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The Mechanisms And Roles Of Feedback Loops For Visual Processing
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