Abstract
Information about the heartbeat is of most value when it is geometrically distributed: the regional description. This descriptive task begins with the Cartesian motion of little bits of wall that we can’t help perceiving upon the imaging screen. Because the heart is moving in the chest as it beats, much of the observed motion of edge elements is passive translation and rotation, irrelevant to the assessment of contractile function. To analyze the function of one bit of myocardium, one must somehow cancel out the motion imputed to it by contraction elsewhere.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Skalak R, Dasgupta G, Moss ML, Otten E, Dullemeijer P, Vilmann H: A conceptual framework for the analytical description of growth. J Theor Biol 94: 555–577, 1982.
Meier GD, Bove AA, Santamore WP, Lynch PR: Contractile function in canine right ventricle. Am J Physiol 239: H794–H804, 1980.
Meier GD, Ziskin MC, Santamore WP, Bove AA: Kinematics of the beating heart. IEEE Transact Biomed Engin 27: 319–329, 1980.
Bookstein FL: A statistical method for biological shape comparisons. J Theor Biol 107: 475–520, 1984.
Ingels NB Jr, Daughters GTII, Stinson EB, Alderman EL: Left ventricular midwall dynamics in the right anterior oblique projection in intact unanesthetized man. J Biomech 14: 221–233, 1981.
Bookstein FL: The measurement of biological shape and shape change. Lecture notes in bio- mathematics, Vol 24. Springer-Verlag, 1978.
Thompson DAW: On growth and form, abr. ed., J.T. Bonner (ed.) The University Press, Cambridge, 1961 (1917, 1942 ).
Bookstein FL: Foundations of morphometries. Ann Rev Ecol Syst 13: 451–470, 1982.
Bookstein FL: Tensor biometrics for changes in cranial shape. Ann Hum Biol 11: 413–437, 1984.
Bookstein FL: The geometry of craniofacial growth invariants. Am J Orthod 83: 221–234, 1983.
Bookstein FL: Transformations of quadrilaterals, tensor fields, and morphogenesis. In: Antonelli PL (ed.), Mathematical essays on growth and the emergence of form. University of Alberta Press, 1985 (in press).
Bookstein L, Gallagher KP, Buda AJ: Mean tensor analysis of left ventricular wall motion. IEEE Computers in Cardiology, 1984 (in press).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Martinus Nijhoff Publishers, Dordrecht
About this chapter
Cite this chapter
Bookstein, F.L. (1985). A geometric foundation for the study of left ventricular motion: Some tensor considerations. In: Buda, A.J., Delp, E.J. (eds) Digital Cardiac Imaging. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4996-6_6
Download citation
DOI: https://doi.org/10.1007/978-94-009-4996-6_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8712-4
Online ISBN: 978-94-009-4996-6
eBook Packages: Springer Book Archive