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  • 1
    Electronic Resource
    Electronic Resource
    Pulse velocities in cylindrical, tapered and curved anisotropic elastic arteries (1974)
    Springer
    Bulletin of mathematical biology 36 (1974), S. 103-103 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461197
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  • 2
    Electronic Resource
    Electronic Resource
    Mechanical behaviour of ventricular aneurysms (1978)
    Springer
    Bulletin of mathematical biology 40 (1978), S. 451-464 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A mathematical model describes the mechanical behaviour of ventricular aneurysms assuming a spherical geometry for the left ventricle. Employing pressure-volume data obtained from normal dog hearts 1–2 hours after infarction, conditions are obtained on infarct thickness and angle of damage for ventricular rupture to occur. The results indicate that rupture is more likely to occur in the early period following infarction and that the dominant factor is the per cent thickness of the infarct.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460771
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  • 3
    Electronic Resource
    Electronic Resource
    Pulse velocities in initially stressed cylindrical rubber tubes (1968)
    Springer
    Bulletin of mathematical biology 30 (1968), S. 299-308 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Expressions are obtained for the pulse velocities in cylindrical tubes of rubber-like materials which are under a state of initial stress. The development is based on the theory of finite elastic deformations and a Mooney materials is considered for illustrative purposes. Numerical results are given in terms of dimensionless parameters which involve the stretch ratio and lumen volume ratio. For the thoracic aorta, a value for the pulse velocity is obtained which is lower than the experimental value.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02476697
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  • 4
    Electronic Resource
    Electronic Resource
    A geometric model for the myocardium: Biventricular wall stresses in normal and hypertrophied states (1980)
    Springer
    Bulletin of mathematical biology 42 (1980), S. 807-828 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Assuming truncated ellipsoidal geometry for the right and left ventricles, a model is developed for the myocardium enabling biventricular mechanical behavior to be studied. Employing pressure-volume data taken from normal dog hearts and from hearts in which the pulmonary artery has been banded over periods of 2–40 weeks, it is shown that: (a) right ventricular wall stresses are higher than left ventricular stresses; (b) right ventricular wall stress increases initially to a maximum after 3–4 weeks followed by a decline to normal and even subnormal levels, attaining a minimum value at 32–33 weeks; (c) left ventricular stresses behave in a similar manner, attaining their maximum and minimum levels after 7–8 weeks and 32–33 weeks respectively. These results suggest that surgical or medical therapy in patients with hypertrophied ventricles might be more appropriate during the period of wall stress reduction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461060
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  • 5
    Electronic Resource
    Electronic Resource
    Pulse velocities in an orthotropic elastic tube (1967)
    Springer
    Bulletin of mathematical biology 29 (1967), S. 311-318 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Moens-Korteweg relations are developed for the velocity of wave propagation through an orthotropic elastic tube based on the three dimensional equations of elasticity. Numerical examples are presented for the femoral artery of a dog and several other orthotropic materials. These results are compared with those obtained from the equations of motion for an orthotropic elastic medium.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02476902
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  • 6
    Electronic Resource
    Electronic Resource
    Effects of anisotropy and nonhomogeneity on left ventricular stresses in the intact heart (1970)
    Springer
    Bulletin of mathematical biology 32 (1970), S. 197-213 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The qualitative effects of anisotropy and nonhomogeneity are considered in the evaluation of left ventricular stresses in the intact heart. Maximum stresses and their location are significantly dependent on the nonhomogeneity factors and to a lesser degree on anisotropy of the ventricular wall material. If the circumferential elastic modulus is assumed to vary in a parabolic manner through the wall thickness, maximum stresses occur within the endocardial layers, a result in qualitative agreement with experimental studies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02476885
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  • 7
    Electronic Resource
    Electronic Resource
    Passive elastic wall stiffness of the left ventricle: A comparison between linear theory and large deformation theory (1976)
    Springer
    Bulletin of mathematical biology 38 (1976), S. 239-251 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Assuming a spherical geometry for the left ventricle, passive elastic stiffness-stress relations have been obtained on the basis of linear elasticity theory and large deformation theory. Employing pressure-volume aata taken from rat hearts of various age groups, it is shown that young rat heart muscle (1 month) is stiffer than either adult (7 months) or old rat heart muscle (17 months). Although the qualitative results are similar for both elasticity theories, the large deformation theory gave results in closer agreement with those obtained from papillary muscle studies. These results imply that stiffness of muscleper se can be assessed from left ventricular pressure-volume data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459557
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