Oscillation and Chaos in Physiological Control Systems

Simple mathematical models with very complicated dynamics

1976 • 6,489 citations

Period Three Implies Chaos

2004 • 2,697 citations

Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos

1974 • 1,622 citations

Period Three Implies Chaos

1975 • 1,375 citations

Bifurcations and Dynamic Complexity in Simple Ecological Models

1976 • 1,239 citations

Respiratory physiology: The essentials

1975 • 1,156 citations

Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation

1950 • 321 citations

Cheyne-Stokes Breathing

1973 • 204 citations

Basic Oscillating Mechanism of Cheyne-Stokes Breathing

1956 • 189 citations

Blood-brain tissue Pco2 relationships and ventilation during rebreathing.

1967 • 164 citations

The neurologic basis of Cheyne-Stokes respiration

1961 • 148 citations

Periodic Hematopoiesis in Human Cyclic Neutropenia

1973 • 147 citations

Allosteric Effects in Hemoglobin

1963 • 131 citations

Cheyne-Stokes breathing produced by a model of the human respiratory system

1966 • 124 citations

Studies on Cyclic Neutropenia

1957 • 119 citations

A mathematical model of neutrophil production and control in normal man

1975 • 113 citations

A Mathematical Model of the Human Respiratory Control System

1965 • 107 citations

THE MECHANISM OF CHEYNE-STOKES RESPIRATION*

1962 • 97 citations

Spontaneous Cyclic Leukocytosis and Thrombocytosis in Chronic Granulocytic Leukemia

1972 • 94 citations

Cyclic Leukocytosis in Chronic Myelogenous Leukemia: New Perspectives on Pathogenesis and Therapy

1973 • 87 citations

CYCLIC LEUCOCYTOSIS AS EVIDENCE FOR RETENTION OF NORMAL HOMŒOSTATIC CONTROL IN CHRONIC GRANULOCYTIC LEUKÆMIA

1967 • 86 citations

The kinetics and regulation of granulopoiesis.

1975 • 64 citations

Periodic oscillation of blood leukocytes, platelets, and reticulocytes in a patient with chronic myelocytic leukemia

1976 • 50 citations

A Mathematical Analysis of Red Blood Cell and Bone Marrow Stem Cell Control Mechanisms

1968 • 42 citations

Application of Time Series Analysis to Serial Blood Neutrophil Counts in Normal Individuals and Patients Receiving Cyclophosphamide

1973 • 38 citations

Cyclical Granulopoiesis in Chronic Granulocytic Leukemia: A Simulation Study

1974 • 37 citations

Some effects of carbonic acid on the character of human respiration

1931 • 32 citations

Human Cyclic Neutropenia: Urinary Colony-stimulating Factor and Erythropoietin Levels

1974 • 31 citations

Cyclic leukemic cell production in CML

1972 • 28 citations

Marked cyclic leukocytosis-leukopenia in chronic myelogenous leukemia

1976 • 27 citations

Periodic Diseases, Physiological Rhythms and Feedback Control—A Hypothesis

1970 • 25 citations

An Analogue Model of Granulopoiesis for the Analysis of Isotopic and Other Data Obtained in the Non-steady State

1973 • 17 citations

Colony-stimulating factor in patients with chronic neutropenia

1976 • 13 citations

Incidence of periodic breathing in 2000 subjects without pulmonary or neurological disease.

1972 • 12 citations

A MATHEMATICAL MODEL FOR CATATONIC SCHIZOPHRENIA*

1974 • 12 citations

Cascading Bifurcations: The Mathematics of Chaos

1975 • 9 citations

Radiation Resistances of Loaded Antennas

1949 • 6 citations