Abstract
The simplest, and much utilized (despite its numerous shortcomings), model for soft tissue is based on the assumption of a linear elastic medium, although there is substantial evidence to suggest that soft tissue is, in fact, visco-elastic in nature. Here we discuss the simple and direct inclusion of visco-elastic concepts into descriptions of soft tissue. The two most elementary linear visco-elastic mechanical models (Maxwell and Kelvin-Voigt) are discussed. The wave equations for pressure propagation in these media are derived and their absorption and velocity dispersion characteristics are examined. One interesting feature is that explicit pulsed wave solutions may be derived in some cases. Another finding is that absorptive behavior may be characterized in a relative efficient manner, without recourse to the usual frequency-dependent description. The extent to which these media can be regarded as suitable for tissue modeling purposes is investigated. The incorporation of scattering into these models may be effected in the usual manner, except that scattering by absorption fluctuations is also predicted.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Y. C. Fung, Biomechanics: Mechanical Properties of Living Tissue, 2nd ed., Springer-Verlag (1993).
S. Leeman, “Ultrasound Pulse Propagation in Dispersive Media,” Physics in Medicine and Biology, 25, 481 (1980).
L. Hutchins, S. Leeman, & J. P. Jones, “Bounded Pulse Propagation,” in Acoustical Imaging, 10, P. Alais & A. Metherell (eds), Plenum Press, 427 (1981).
S. Leeman & A. Peyman, “The Maxwell Model as a Soft Tissue Descriptor,” in Acoustical Imaging , 25, M. Halliwell & P. N. T. Wells (eds), Kluwer/ Plenum, 357 (2000).
P. M. Morse & K. U. Ingard, Theoretical Acoustics, McGraw-Hill, 400 (1968).
S. Leeman, R. Leeks, & P. Sutton, “Information Processing in Medical Imaging,” in Les Colloques de I’INSERM, 88, R. Di Paola & E. Kahn (eds), INSERM, 35, (1979).
E. Nolan, Reflection of Acoustic Waves From a Discontinuity in Absorption, MS Thesis, University of California Irvine (1988).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media B.V.
About this paper
Cite this paper
Leeman, S., Jones, J. (2008). Visco-Elastic Models for Soft Tissues. In: Akiyama, I. (eds) Acoustical Imaging. Acoustical Imaging, vol 29. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8823-0_51
Download citation
DOI: https://doi.org/10.1007/978-1-4020-8823-0_51
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-8822-3
Online ISBN: 978-1-4020-8823-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)