An inverse approach to determining myocardial material properties.

[1]  Kenneth Levenberg.  A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[2]  D. Marquardt.  An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[3]  Nestor Distefano,et al.  Modeling, identification and prediction of a class of nonlinear viscoelastic materials (II) , 1973 .

[4]  Karl S. Pister,et al.  Identification of nonlinear elastic solids by a finite element method , 1974 .

[5]  James V. Beck,et al.  Parameter Estimation in Engineering and Science , 1977 .

[6]  G Ray,et al.  Systems identification for material properties of the intervertebral joint. , 1978, Journal of biomechanics.

[7]  W. S. Ring,et al.  The diastolic mechanical properties of the intact left ventricle. , 1980, Federation proceedings.

[8]  Ivo Babuška,et al.  The p-Version of the Finite Element Method for Parabolic Equations. Part 1 , 1981 .

[9]  F. Yin,et al.  Passive biaxial mechanical properties of isolated canine myocardium. , 1983, The Journal of physiology.

[10]  S L Zeger,et al.  Quantification of the mechanical properties of noncontracting canine myocardium under simultaneous biaxial loading. , 1987, Journal of biomechanics.

[11]  J. Humphrey,et al.  On constitutive relations and finite deformations of passive cardiac tissue: I. A pseudostrain-energy function. , 1987, Journal of biomechanical engineering.

[12]  S. M. Collins,et al.  Finite Element Analysis of Myocardial Diastolic Function Using Three‐Dimensional Echocardiographic Reconstructions: Application of a New Method for Study of Acute Ischemia in Dogs , 1987, Circulation research.

[13]  L. Waldman,et al.  Technique for Measuring Regional Two‐Dimensional Finite Strains in Canine Left Ventricle , 1988, Circulation research.

[14]  Robert L. Spilker,et al.  Computational methods in bioengineering , 1988 .

[15]  I. Sheinman,et al.  Nonlinear incompressible finite element for simulating loading of cardiac tissue--Part II: Three dimensional formulation for thick ventricular wall segments. , 1988, Journal of biomechanical engineering.

[16]  E. Zerhouni,et al.  Human heart: tagging with MR imaging--a method for noninvasive assessment of myocardial motion. , 1988, Radiology.

[17]  P. Hunter,et al.  The analysis of cardiac function: a continuum approach. , 1988, Progress in biophysics and molecular biology.

[18]  T. Mosher,et al.  A DANTE tagging sequence for the evaluation of translational sample motion , 1990, Magnetic resonance in medicine.

[19]  A. McCulloch,et al.  Passive material properties of intact ventricular myocardium determined from a cylindrical model. , 1991, Journal of biomechanical engineering.

[20]  A. McCulloch,et al.  Non-homogeneous analysis of three-dimensional transmural finite deformation in canine ventricular myocardium. , 1991, Journal of biomechanics.

[21]  J. Humphrey,et al.  A constitutive theory for biomembranes: application to epicardial mechanics. , 1992, Journal of biomechanical engineering.

[22]  A. Young,et al.  Three-dimensional motion and deformation of the heart wall: estimation with spatial modulation of magnetization--a model-based approach. , 1992, Radiology.

[23]  D. Schnur,et al.  An inverse method for determining elastic material properties and a material interface , 1992 .

[24]  Michael W. Vannier,et al.  Mathematical modeling of the heart using magnetic resonance imaging , 1992, IEEE Trans. Medical Imaging.

[25]  A McCulloch,et al.  Large-scale finite element analysis of the beating heart. , 1992, Critical reviews in biomedical engineering.

[26]  A. Young,et al.  Validation of tagging with MR imaging to estimate material deformation. , 1993, Radiology.

[27]  Multiple minima in inverse hyperthermia temperature estimation problems. , 1993, Journal of biomechanical engineering.

[28]  I. Babuska,et al.  Finite Element Analysis , 2021 .

[29]  A. McCulloch,et al.  Measurement of strain and analysis of stress in resting rat left ventricular myocardium. , 1993, Journal of biomechanics.

[30]  J. Humphrey,et al.  Regional mechanical properties of passive myocardium. , 1994, Journal of biomechanics.

[31]  M. Vannier,et al.  An experimental method for evaluating constitutive models of myocardium in in vivo hearts. , 1994, The American journal of physiology.