The analysis of cardiac function: A continuum approach

Biomechanics. Mechanical Properties of Living Tissues

1982 • 6,144 citations

Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm

1948 • 4,074 citations

Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm

1998 • 3,917 citations

Muscle Structure and Theories of Contraction

1957 • 3,392 citations

Mathematical theory of elasticity

2004 • 3,208 citations

Biomechanics: Mechanical Properties of Living Tissues

1981 • 2,617 citations

Proposed Mechanism of Force Generation in Striated Muscle

1971 • 2,256 citations

Foundations of solid mechanics

1965 • 1,983 citations

Foundations of solid mechanics

1966 • 1,931 citations

Total Excitation of the Isolated Human Heart

1970 • 1,720 citations

Fiber Orientation in the Canine Left Ventricle during Diastole and Systole

1969 • 1,415 citations

A computer model of atrial fibrillation

1964 • 1,343 citations

Left ventricular fibre architecture in man.

1981 • 1,053 citations

Finite Elements of Nonlinear Continua

1971 • 986 citations

Elasticity of soft tissues in simple elongation

1967 • 968 citations

Mechanics of Continua

1968 • 938 citations

Nonlinear Elastic Deformations

1985 • 922 citations

Relating extracellular potentials and their derivatives to anisotropic propagation at a microscopic level in human cardiac muscle. Evidence for electrical uncoupling of side-to-side fiber connections with increasing age.

1986 • 880 citations

Tension responses to sudden length change in stimulated frog muscle fibres near slack length

1977 • 853 citations

A model of cardiac electrical activity incorporating ionic pumps and concentration changes

1985 • 835 citations

Regularization of Inverse Visual Problems Involving Discontinuities

1986 • 773 citations

Large elastic deformations

1970 • 763 citations

Finite elements and approximation

1983 • 744 citations

Force-velocity relations in mammalian heart muscle

1962 • 709 citations

Constitutive equations for fibrous connective tissues

1983 • 703 citations

Fundamental Mechanics of Fluids

2016 • 676 citations

Mathematical model of geometry and fibrous structure of the heart

1991 • 658 citations

The identification of nonlinear biological systems: Wiener and Hammerstein cascade models

1986 • 644 citations

Localized Disorders in Myocardial Contraction

1967 • 625 citations

Passive Material Properties of Intact Ventricular Myocardium Determined From a Cylindrical Model

1991 • 584 citations

Muscular contraction.

1974 • 575 citations

Theoretical elasticity

1960 • 554 citations

The functional role of structural complexities in the propagation of depolarization in the atrium of the dog. Cardiac conduction disturbances due to discontinuities of effective axial resistivity.

1982 • 535 citations

Left Ventricular Tension and Stress in Man

1963 • 493 citations

The collagen network of the heart.

1979 • 477 citations

Influence of cardiac fiber orientation on wavefront voltage, conduction velocity, and tissue resistivity in the dog.

1979 • 426 citations

Muscular contraction. Review lecture

1974 • 424 citations

Two-dimensional mechanical properties of rabbit skin—I. Experimental system

1974 • 422 citations

A structural theory for the homogeneous biaxial stress-strain relationships in flat collagenous tissues

1979 • 396 citations

First and last experiments in muscle mechanics

1970 • 380 citations

Ventricular wall stress.

1981 • 378 citations

Transmural myocardial deformation in the canine left ventricle. Normal in vivo three-dimensional finite strains.

1985 • 364 citations

Heat Transfer to Blood Vessels

1980 • 357 citations

Simulation studies of the electrocardiogram. I. The normal heart.

1978 • 357 citations

Factors which affect the diastolic pressure-volume curve.

1978 • 352 citations

Tension development and sarcomere length in rat cardiac trabeculae. Evidence of length-dependent activation.

1980 • 350 citations

The three-dimensional dynamic geometry of the left ventricle in the conscious dog.

1976 • 343 citations

Left Ventricular Stresses in the Intact Human Heart

1969 • 314 citations

Tensor Analysis and Continuum Mechanics

1972 • 303 citations

Theory and Experiment for the Effect of Vascular Microstructure on Surface Tissue Heat Transfer—Part I: Anatomical Foundation and Model Conceptualization

1984 • 302 citations

A model of the mechanics of the left ventricle

1979 • 281 citations

Relation between transmural deformation and local myofiber direction in canine left ventricle.

1988 • 272 citations

An Introduction to the Theory of Elasticity

1983 • 271 citations

Theory, Measurement, and Application of Thermal Properties of Biomaterials

1975 • 262 citations

Biorheology of soft tissues1

1973 • 258 citations

Profound structural alterations of the extracellular collagen matrix in postischemic dysfunctional (“stunned”) but viable myocardium

1987 • 244 citations

Effect of tissue anisotropy on extracellular potential fields in canine myocardium in situ.

1982 • 242 citations

Skeletal framework of mammalian heart muscle. Arrangement of inter- and pericellular connective tissue structures.

1983 • 240 citations

Residual strain in rat left ventricle.

1990 • 222 citations

Passive biaxial mechanical properties of isolated canine myocardium.

1983 • 220 citations

Engineering Mechanics for Successive States in Canine Left Ventricular Myocardium

1973 • 218 citations

First and Last Experiments in Muscle Mechanics

1971 • 216 citations

The collagen matrix of the heart.

1981 • 216 citations

Left Ventricular Wall Stress Calculated from One-Plane Cineangiography

1970 • 212 citations

Stress distribution within the left ventricular wall approximated as a thick ellipsoidal shell

1968 • 212 citations

On the muscular architecture of the ventricles of the human heart

1911 • 191 citations

Quantification of the mechanical properties of noncontracting canine myocardium under simultaneous biaxial loading

1987 • 190 citations

Acute alterations in left ventricular diastolic chamber stiffness. Role of the "erectile" effect of coronary arterial pressure and flow in normal and damaged hearts.

1982 • 187 citations

An engineering analysis of myocardial fiber orientation in pig's left ventricle in systole

1966 • 181 citations

Mechanical properties of the heart muscle in the passive state

1973 • 179 citations

An Introduction to the Theory of Elasticity

1981 • 177 citations

Intercalated discs of mammalian heart: A review of structure and function

1985 • 176 citations

Cardiovascular System Dynamics

1979 • 166 citations

Epicardial deformation and left ventricular wall mechanisms during ejection in the dog

1982 • 166 citations

Evaluation of methods for quantitating left ventricular segmental wall motion in man using myocardial markers as a standard.

1980 • 165 citations

Regional differences in myocardial performance in the left ventricle of the dog.

1975 • 161 citations

The nature of electrical propagation in cardiac muscle

1983 • 161 citations

A few applications of a physical theorem to membranes in the human body in a state of tension

1892 • 155 citations

Notes on the Muscular Architecture of the Left Ventricle

1965 • 152 citations

Structural basis for cardiac function

1970 • 151 citations

Intramural reentry as a mechanism of ventricular tachycardia during evolving canine myocardial infarction.

1985 • 149 citations

Determination of left ventricular size and shape

1977 • 147 citations

Variability in the measurement of regional left ventricular wall motion from contrast angiograms.

1983 • 144 citations

Contractility of muscle cells and related processes

1972 • 136 citations

Instantaneous Dimensional Changes of the Left Ventricle in Dogs

1961 • 135 citations

Objective and subjective analysis of left ventricular angiograms.

1975 • 132 citations

Influence of coronary perfusion and myocardial edema on pressure-volume diagram of left ventricle

1961 • 132 citations

The influence of coronary pressure and coronary flow on intracoronary blood volume and geometry of the left ventricle

1973 • 131 citations

A new constitutive formulation for characterizing the mechanical behavior of soft tissues

1987 • 131 citations

Three-Dimensional Imaging of Heart, Lungs, and Circulation

1980 • 130 citations

Influence of Coronary Artery Pressure Upon Myocardial Elasticity

1960 • 125 citations

Coiled perimysial fibers of papillary muscle in rat heart: morphology, distribution, and changes in configuration.

1988 • 124 citations

Mathematical representation of the mechanical properties of the heart muscle

1970 • 122 citations

Propagation of excitation in idealized anisotropic two-dimensional tissue

1984 • 122 citations

Principles of Cartography

1964 • 117 citations

Effects of Coronary Blood Flow and Perfusion Pressure on Left Ventricular Contractility in Dogs

1970 • 117 citations

Assessment of regional myocardial performance from biplane coronary cineangiograms

1971 • 110 citations

Morphology, composition, and function of struts between cardiac myocytes of rat and hamster

1987 • 108 citations

Wall Thickness and Diastolic Properties of the Left Ventricle

1974 • 107 citations

Reconstruction of propagated electrical activity with a two-dimensional model of anisotropic heart muscle.

1986 • 104 citations

Contractile function in canine right ventricle

1980 • 104 citations

Measurement of left ventricular wall stress

1980 • 100 citations

Intercalated discs in heart muscle studied with the electron microscope

1953 • 92 citations

Quantitative cardiovascular studies : clinical and research applications of engineering principles

1979 • 91 citations

Left Ventricular Wall Motion Assessed by Using Fixed External Reference Systems

1973 • 91 citations

Brief Reviews : Determination of Left Ventricular Size and Shape

1974 • 90 citations

Methods for Evaluating Cardiac Wall Motion in Three Dimensions Using Bifurcation Points of the Coronary Arterial Tree

1983 • 90 citations

Structural Three-Dimensional Constitutive Law for the Passive Myocardium

1988 • 89 citations

Graphics methods for tracking three-dimensional heart wall motion

1982 • 88 citations

Sarcomere length-tension relations in living rat papillary muscle.

1975 • 88 citations

Finite-Element Model for the Mechanical Behavior of the Left Ventricle

1972 • 88 citations

Computational methods in bioengineering

1988 • 88 citations

Ultrastructure of the Mammalian Heart

1973 • 87 citations

An analytic elastic-viscoelastic model for the shape and the forces in the left ventricle

1969 • 86 citations

Mathematical modeling of electrical activity of the heart

1987 • 83 citations

The Reconstruction of Three-Dimensional Objects from Two Orthogonal Projections and its Application to Cardiac Cineangiography

1973 • 82 citations

An assessment of the mechanical properties of leaflets from four second-generation porcine bioprostheses with biaxial testing techniques

1989 • 82 citations

Variability in the measurement of regional left ventricular wall motion from contrast angiograms.

1983 • 81 citations

Regional non-uniformity of wall dynamics in normal left ventricle.

1981 • 79 citations

Technique for measuring regional two-dimensional finite strains in canine left ventricle.

1988 • 79 citations

Progress in microcirculation research

1994 • 78 citations

Computer Simulation of the Propagation Process in Excitation of the Ventricles

1968 • 76 citations

Architecture of the human ventricular myocardium; technic for study using a modification of the Mall-MacCallum method.

1956 • 75 citations

Regional left ventricular epicardial deformation in the passive dog heart.

1989 • 73 citations

In vivo stresses in the human left ventricular wall: Analysis accounting for the irregular 3-dimensional geometry and comparison with idealised geometry analyses

1972 • 70 citations

Biaxial stress-strain properties of canine pericardium

1986 • 69 citations

Regional comparison of midwall segment and area shortening in the canine left ventricle.

1986 • 67 citations

Influence of coronary blood flow on left ventricular contractility and stiffness

1972 • 63 citations

Finite-element analysis of left ventricular myocardial stresses

1974 • 62 citations

A framework for three-dimensional time-varying reconstruction of the human left ventricle: Sources of error and estimation of their magnitude

1980 • 61 citations

Propagation through electrically coupled cells. Effects of regional changes in membrane properties.

1983 • 61 citations

Visco-Elasticity of Passive Cardiac Muscle

1980 • 60 citations

COMPARISON OF THE ULTRASTRUCTURAL BASIS OF THE CONTRACTILE PROCESS IN HEART AND SKELETAL MUSCLE.

1964 • 60 citations

Transmural myocardial deformation in the canine left ventricular wall

1978 • 59 citations

Estimation of Local Cardiac Wall Deformation and Regional Wall Stress from Biplane Coronary Cineangiograms

1985 • 58 citations

Deformation of the Diastolic Left Ventricle

1973 • 55 citations

Left ventricular epicardial deformation in isolated arrested dog heart

1987 • 54 citations

Epicardial surface estimation from coronary angiograms

1989 • 53 citations

Effects of anisotropy and nonhomogeneity on left ventricular stresses in the intact heart

1970 • 53 citations

Comparison of different models of the heart muscle

1971 • 51 citations

The coronary pressure-flow determinants left ventricular compliance in dogs.

1981 • 47 citations

Left ventricular free wall and intraventricular pressure-sarcomere length distributions

1980 • 44 citations

Deformation of the diastolic left ventricle—II. Nonlinear geometric effects

1974 • 44 citations

Electrophysiologic mapping during open heart surgery

1976 • 43 citations

Three-Dimensional Left Ventricular Wall Motion in Man

1984 • 41 citations

Nonuniform subendocardial fiber orientation in the normal macaque left ventricle.

1975 • 40 citations

Continuum rheology of muscle contraction and its application to cardiac contractility

1985 • 39 citations

Left ventricular energetics. Heat loss and temperature distribution of canine myocardium.

1982 • 39 citations

The analysis of left ventricular wall thickness and shear by an ultrasonic triangulation technique in the dog.

1980 • 36 citations

Pseudoelasticity of Excised Visceral Pleura

1987 • 34 citations

Three-dimensional myocardial and ventricular shape: a surface representation

1981 • 33 citations

An Analytical Descrptor of Three-Dimensional Geometry: Application to the Analysis of the Left Ventricle Shape and Contraction

1987 • 33 citations

THE ULTRASTRUCTURE OF VENTRICULAR AND ATRIAL MYOCARDIUM

1973 • 33 citations

Coordinated three‐dimensional reconstruction from serial sections at macroscopic and microscopic levels of resolution: The human heart

1987 • 33 citations

Constitutive Equations for the Lung Tissue

1983 • 31 citations

Left-ventricular ejection fraction and segmental wall motion by peripheral first-pass radionuclide angiography.

1978 • 29 citations

Mechanical properties of the stimulated papillary muscle in quick-release experiments

1973 • 29 citations

The anatomy of the heart : a finite element model

1987 • 29 citations

Left ventricular heat production measured by coronary flow and temperature gradient

1961 • 27 citations

Creep in cardiac muscle

1977 • 24 citations

Computer Modeling of the Human Left Ventricle

1982 • 20 citations

Strain Energy Descriptions of Biological Swelling II: Multiple Fluid Compartment Models

1987 • 19 citations

A Constitutive Description of Contracting Papillary Muscle and Its Implications to the Dynamics of the Intact Heart

1987 • 19 citations

Facial vein of the rabbit. Intracellularly recorded hyperpolarization of smooth muscle cells induced by beta-adrenergic receptor stimulation.

1983 • 18 citations

The left ventricle as confocal prolate spheroids

1969 • 17 citations

A cellular model for the simulation of activation in the ventricular myocardium

1975 • 16 citations

A simple approach to the problem of 3-D reconstruction

1987 • 14 citations

Geometric Modelling of the Human Left Venticle

1979 • 14 citations

Strain Energy Descriptions of Biological Swelling I: Single Fluid Compartment Models

1987 • 12 citations

Helical fibers in myocardium of dogs change their pitch as they contract

1982 • 12 citations

A Method for Quantitative Display of Three-Dimensional Regional Myocardial Function

1985 • 9 citations

On the Relationship Between Blood Perfusion, Metabolism and Temperature in Biological Tissue Heat Balance

1980 • 9 citations

The effect of distension of the left ventricle of the heart on the length of the individual myocardial fibers

1970 • 5 citations

Some Mechanical Considerations in the Selection and Testing of Papillary Muscles

1980 • 4 citations

Steady State Heat Transfer in the Left Ventricle

1983 • 3 citations

Continuous measurement of left ventricular volume using a single dimensional transducer: a comparison of two techniques in open chested dogs

1975 • 2 citations

A Scanning Laser Microscope For Muscle Fiber Studies

1987 • 2 citations

Heart Perfusion, energetics and ischaemia

1984 • 1 citations