Visco-elasticity of passive cardiac muscle

Pinto, J. G.; Patitucci, P. J.

Affiliations

¹Department of Mechanical Engineering, San Diego State University, San Diego, Calif. 92182

²Department of Applied Mechanics and Engineering Sciences (AMES) — Bioengineering, The University of California, San Diego, La Jolla, Calif. 92093

Abstract

A quantitative mechanical description of the heart organ requires information on the mechanical behavior of its muscle in reasonable unity and completeness. In this respect, a fundamental constitutive law for soft biological tissues was proposed by Fung in 1972. This article presents evidence to show that Fung’s law is a useful law to describe the mechanical behavior of heart muscle in the unstimulated (diastolic) state with sufficient generality. A visco-elastic relaxation phenomenon is studied in the isolated cardiac muscle of cat and rabbit with the purpose of constructing a mathematical model for relaxation. Experimental results show that passive relaxation behavior of heart muscle can be adequately described by a generalized standard linear solid with a continuous distribution of relaxation times. The form of the relaxation function devised permits the application of linear visco-elasticity theory to the nonlinear cardiac muscle. The relaxation model is used to predict the force-length (stress-strain) behavior of papillary muscle with reasonable accuracy.

Links

DOI: 10.1115/1.3138199

PubMed: 7382454

WoS: A1980JE19600008

History

Received: 1978-10-30

Revised: 1979-08-13

Cited Works (1)

Year	Entry
1972	Fung Y-CB. Stress-strain-history relations of soft tissues in simple elongation. In: Fung YC, Perrone N, Anliker M, eds. Biomechanics: Its Foundations and Objectives. Symposium on Biomechanics, its Foundations and Objectives; July 29-31, 1970. Englewood Cliff, NJ: Inc., Prentice-Hall International; 1972:181-208.

Cited By (21)

Year	Entry
1994	Plank GR, Kleinberger M, Eppinger RH. Finite element modeling and analysis of thorax/restraint system interaction. In: Proceedings of the 14th International Technical Conference on the Enhanced Safety of Vehicles (ESV). May 23-26, 1994; Munich, Germany.210-219.
1991	Plank GR, Eppinger RH. An improved finite element model of the human thorax. In: Proceedings of the 13th International Technical Conference on Experimental Safety Vehicles (ESV). November 4-7, 1991; Paris, France.902-907.
1983	McElhaney JH, Paver JG, McCrackin HJ, Maxwell GM. Cervical spine compression responses. In: Proceedings of the 27th Stapp Car Crash Conference. October 17-19, 1983; San Diego, CA. Warrendale, PA: Society of Automotive Engineers:163-177. SAE 831615.
1995	Myers BS, Van Ee CA, Camacho DLA, Woolley CT, Best TM. On the structural and material properties of mammalian skeletal muscle and its relevance to human cervical impact dynamics. In: Proceedings of the 39th Stapp Car Crash Conference. November 8-10, 1995; San Diego, CA. Warrendale, PA: Society of Automotive Engineers:203-214. SAE 952723.
2002	Tamura A, Omori K, Miki K, Lee JB, Yang KH, King AI. Mechanical characterization of porcine abdominal organs. Stapp Car Crash J. 2002;46:55-69. SAE 2002-22-0003.
1983	Sauren AAHJ, van Hout MC, van Steenhoven AA, Veldpaus FE, Janssen JD. The mechanical properties of porcine aortic valve tissues. J Biomech. 1983;16(5):327-337.
1991	Myers BS, McElhaney JH, Doherty BJ. The viscoelastic responses of the human cervical spine in torsion: experimental limitations of quasi-linear theory, and a method for reducing these effects. J Biomech. 1991;24(9):811-817.
1993	Kwan MK, Lin TH-C, Woo SL-Y. On the viscoelastic properties of the anteromedial bundle of the anterior cruciate ligament. J Biomech. April–May 1993;26(4-5):447-452.
1994	Best TM, McElhaney J, Garrett WE, Myers BS. Characterization of the passive responses of live skeletal muscle using the quasi-linear theory of viscoelasticity. J Biomech. April 1994;27(4):413-419.
1983	Sauren AAHJ, Rousseau EPM. A concise sensitivity analysis of the quasi-linear viscoelastic model proposed by Fung. J Biomech Eng. February 1983;105(1):92-95.
1984	Dortmans LJMG, Sauren AAHJ, Rousseau EPM. Parameter estimation using the quasi-linear viscoelastic model proposed by Fung. J Biomech Eng. August 1984;106(3):198-203.
1996	Johnson GA, Livesay GA, Woo SL-Y, Rajagopal KR. A single integral finite strain viscoelastic model of ligaments and tendons. J Biomech Eng. May 1996;118(2):221-226.
1998	Puso MA, Weiss JA. Finite element implementation of anisotropic quasi-linear viscoelasticity using a discrete spectrum approximation. J Biomech Eng. February 1998;120(1):62-70.
1984	Paver JG. The Biomechanics of Head and Neck Injury and Protection [PhD thesis]. Duke University; 1984.
1993	Best TM. A Biomechanical Study of Skeletal Muscle Strain Injuries [PhD thesis]. Duke University; 1993.
1988	Lam T. The Mechanical Properties of the Maturing Medial Collateral Ligament [PhD thesis]. Calgary, AB: University of Calgary; March 1988.
2001	Thomopoulos S. Supraspinatus Tendon to Bone Healing: Differences in Biomechanical, Structural, and Compositional Properties Due to a Range of Activity Levels [PhD thesis]. University of Michigan; 2001.
2017	Ramadan S. Development of an Anthropomorphic Dynamic Heart Phantom [Master's thesis]. University of Toronto; 2017.
2007	Shields KJ. The Development of a Multi-Directional Wear Apparatus and the Characterization and Correlation of Biomechanical and Biotribological Properties of Bovine Articular Cartilage [PhD thesis]. Richmond, VA: Virginia Commonwealth University; December 2007.
2002	Lee JB. Development of a Finite Element Model of the Human Abdomen [PhD thesis]. Detroit, MI: Wayne State University; 2002.
2001	Corr DT. Mechanical Characterization and Modeling of Skeletal Muscle Following Injury [PhD thesis]. University of Wisconsin – Madison; 2001.