On a phenomenological model for active smooth muscle contraction

Journal of Biomechanics

Volumn 44, Issue 11, 2011, Pages 2090-2095

  Schmitz, Andr ^a   Böl, Markus ^a  

^a TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

Author keywords

Calcium; Chemical kinetics; Fibre dispersion; Mechanochemical model; Smooth muscle contraction

Indexed keywords

MECHANOCHEMICALS; NUMERICAL STUDIES; PHENOMENOLOGICAL MODELS; SMOOTH MUSCLE CELLS; SMOOTH MUSCLES; STRAIN ENERGY FUNCTIONS;

CELLS; COLLAGEN; DISPERSIONS; EXPERIMENTS; FINITE ELEMENT METHOD; MUSCLE; STRAIN ENERGY;

THREE DIMENSIONAL;

CALCIUM; COLLAGEN; ELASTIN;

ANIMAL TISSUE; ARTICLE; CHEMICAL REACTION KINETICS; CONTROLLED STUDY; DISPERSION; MUSCULOSKELETAL FUNCTION; NONHUMAN; PRIORITY JOURNAL; SMOOTH MUSCLE CONTRACTION; SMOOTH MUSCLE FIBER; STATISTICAL ANALYSIS; SWINE;

ARTERIES; CALCIUM; COLLAGEN; COMPUTER SIMULATION; ELASTIN; MODELS, BIOLOGICAL; MUSCLE CONTRACTION; MUSCLE, SMOOTH; MYOCYTES, SMOOTH MUSCLE; STRESS, MECHANICAL;

EID: 79960240247     PISSN: 00219290     EISSN: 18732380     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2011.05.020     Document Type: Article

References (49)

1. Aoki H., Nishimura J., Kobayashi S., Kanaide H. Relationship between cytosolic calcium concentration and force in the papaverine-induced relaxation of medial strips of pig coronary artery. British Journal of Pharmacology 1994, 111:489-496.
2. Arner A. Mechanical characteristics of chemically skinned guinea-pig taenia coli. Pfügers Archiv - European Journal of Physiology 1982, 395:277-284.
3. Arner A., Hellstrand P. Energy turnover and mechanical properties of resting and contracting aortas and portal veins from normotensive and spontaneously hypertensive rats. Circulation Research 1981, 48:539-548.
4. Arner A., Hellstrand P. Effects of calcium and substrate on force-velocity relation and energy turnover in skinned smooth muscle of the guinea-pig. American Journal of Physiology 1983, 360:347-365.
5. Arner A., Uvelius B. Force-velocity characteristics and active tension in relation to content and orientation of smooth muscle cells in aortas from normotensive and spontaneous hypertensive rats. Circulation Research 1982, 50:812-821.
6. Baek S., Gleason R.L., Rajagopal K.R., Humphrey J.D. Theory of small on large: potential utility in computations of fluid-solid interactions in arteries. Computer Methods in Applied Mechanical Engineering 2007, 196:3070-3078.
7. Barra J.G., Armentano R.L., Levenson J., Fischer E.I., Pichel R.H., Simon A. Assessment of smooth muscle contribution to descending thoracic aortic elastic mechanics in conscious dogs. Circulation Research 1993, 73:1040-1050.
8. Cox R.H. Arterial wall mechanics and composition and the effects of smooth muscle activation. American Journal of Physiology 1975, 229:807-812.
9. Cox R.H. Alterations in active and passive mechanics of rat carotid artery with experimental hypertension. American Journal of Physiology 1979, 237:H597-H605.
10. Dahl S.L.M., Vaughn M.E., Niklason L.E. An ultrastructural analysis of collagen in tissue engineered arteries. Annals of Biomedical Engineering 2007, 35:1749-1755.
11. DeFeo T.T., Morgan K.G. Calcium-force relationships as detected with aequorin in two different vascular smooth muscles of the ferret. American Journal of Physiology 1985, 369:269-282.
12. Dobrin P.B. Influence of initial length on length-tension relationship of vascular smooth muscle. American Journal of Physiology 1973, 225:664-670.
13. Dobrin P.B., Canfield T.R. Series elastic and contractile elements in vascular smooth muscle. Circulation Research 1973, 33:454-464.
14. Dobrin P.B., Rovick A.A. Influence of vascular smooth muscle on contractile mechanics and elasticity of arteries. American Journal of Physiology 1969, 217:1644-1651.
15. Fay F.S., Delise C.M. Contraction of isolated smooth-muscle cells - structural changes. Proceedings of the National Academy of Sciences 1973, 70:641-645.
16. Gasser T.C., Ogden R.W., Holzapfel G.A. Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. Journal of the Royal Society Interface 2006, 3:15-35.
17. Grover A.K., Daniel E.E. Calcium and Contractility - Smooth Muscle 1985, Springer, Berlin.
18. Hai C.M., Kim H.R. An expanded latch-bridge model of protein kinase C-mediated smooth muscle contraction. Journal of Applied Physiology 2005, 98:1356-1365.
19. Hai C.M., Murphy R.A. Cross-bridge phosphorylation and regulation of latch state in smooth muscle. American Journal of Physiology-Cell Physiology 1988, 254:C99-C106.
20. Harris D.E., Warshaw D.M. Length vs. active force relationship in single isolated smooth muscle cells. American Journal of Physiology-Cell Physiology 1991, 260:C1104-C1112.
21. Herlihy J.T., Murphy R.A. Length-tension relationship of smooth muscle of the hog carotid artery. Circulation Research 1973, 33:275-283.
22. Holzapfel G.A. Nonlinear Solid Mechanics - A Continuum Approach for Engineering 2000, John Wiley & Sons Ltd, England.
23. Holzapfel, G.A., 2001. Biomechanics of Soft Tissue, vol 10. Academic Press, pp. 1057-1071.
24. Holzapfel G.A., Gasser T.C., Ogden R.W. A new constitutive framework for arterial wall mechanics and a comparative study of material models. Journal of Elasticity 2000, 61:1-48.
25. Jiang M.J., Morgan K.G. Agonist-specific myosin phosphorylation and intracellular calcium during isometric contractions of arterial smooth muscle. Pflügers Archiv - European Journal of Physiology 1989, 413:637-643.
26. Kamm K.E., Gerthoffer W.T., Murphy R.A., Bohr D.F. Mechanical properties of carotid arteries from DOCA hypertensive swine. Hypertension 1989, 13:102-109.
27. Kuo K.-H., Seow C.Y. Contractile filament architecture and force transmission in swine airway smooth muscle. Journal of Cell Science 2004, 117:1503-1511.
28. Löfgren M., Malmquist U., Arner A. Substrate and product dependence of force and shortening in fast and slow smooth muscle. Journal of General Physiology 2001, 117:407-418.
29. Makujina S.R., Abebe W., Ali S. Simultaneous measurement of intracellular calcium and tension in vascular smooth muscle: validation of the everted ring preparation. Journal of Pharmacological and Toxicological Methods 1995, 34:157-163. Jamal Mustafa.
30. McIntyre R.C., Agrafojo J., Banerjee A., Fullerton D.A. Pulmonary vascular smooth muscle contraction. Journal of Surgical Research 1996, 61:170-174.
31. Miehe C. Aspects of the formulation and finite element implementation of large strain isotropic elasticity. Numerical Methods in Engineering 1994, 37:1981-2004.
32. Milnor W.R. Cardiovascular Physiology 1990, Oxford University Press, Oxford.
33. Murphy R.A., Rembold C.M. The latch-bridge hypothesis of smooth muscle contraction. Canadian Journal of Physiology and Pharmacology 2008, 83:857-864.
34. Murtada S.-I., Kroon M., Holzapfel G.A. A calcium-driven mechanochemical model for prediction of force generation in smooth muscle. Biomechanics and Modelling in Mechanobiology 2010, 9:749-762.
35. Murtada S.-I., Kroon M., Holzapfel G.A. Modeling the dispersion effects of contractile fibres in smooth muscles. Journal of the Mechanics and Physics of Solids 2010, 58:2065-2082.
36. Ogden R.W. Nearly isochoric elastic deformations: application to rubberlike solids. Journal of the Mechanics and Physics of Solids 1987, 26:37-57.
37. Peterson J.W. Simple model of smooth muscle myosin phosphorylation and dephosphorylation as rate-limiting mechanism. Biophysical Journal 1982, 37:453-459.
38. Rembold C.M., Murphy R.A. Latch-bridge model in smooth muscle: [Ca 2+]i can quantitatively predict stress. American Journal of Physiology-Cell Physiology 1990, 26:C41-C50.
39. Rembold C.M., Wardle R.L., Wingard C.J., Batts T.W., Etter E.F., Murphy R.A. Cooperative attachment of cross bridges predicts regulation of smooth muscle force by myosin phosphorylation. American Journal of Physiology 2004, 287:594-602.
40. Rhodin J.A.G. Architecture of the vessel wall. Handbook of Physiology II. Section 2: The Cardiovascular System 1988, 1-31. American Physiological Society, Bethesda, MD.
41. Seow C.Y., Paré P.D. Ultrastructural basis of airway smooth muscle contraction. Canadian Journal of Physiology and Pharmacology 2007, 85:659-665.
42. Simo J.C., Taylor R.L., Pister K.S. Variational and projection methods for the volume constraint in finite deformation elasto-plasticity. Computer Methods in Applied Mechanical Engineering 1985, 51:177-208.
43. Singer H.A., Murphy R.A. Maximal rates of activation in electrically stimulated swine carotid media. Circulation Research 1987, 60:438-445.
44. Tang D.C., Stull J.T., Kubota Y., Kamm K.E. Regulation of the Ca2+ dependence of smooth muscle contraction. Journal of Biological Chemistry 1992, 267:11839-11845.
45. Tosun M., Paul R.J., Rapoport R.M. Intracellular Ca2+ elevation and contraction due to prostaglandin F 2α in rat aorta. European Journal of Pharmacology 1997, 340:203-208.
46. VanBuren P., Work S.S., Warshaw D.M. Enhanced force generation by smooth muscle myosin in vitro. Proceedings of the National Academy of Sciences 1993, 91:202-205.
47. Walmsley J.G., Murphy R.A. Force-length dependence of arterial lamellar smooth muscle and myofilament orientations. American Journal of Physiology-Heart and Circulatory Physiology 1987, 253:H1141-H1147.
48. Zulliger M.A., Kwak N.T.M.R., Tsapikouni T., Stergiopulos N. Effects of longitudinal stretch on VSM tone and distensibility of muscular conduit arteries. American Journal of Physiology 2002, 283:H2599-H2605.
49. Zulliger M.A., Rachev A., Stergiopulos N. A constitutive formulation of arterial mechanics including vascular smooth muscle tone. American Journal of Physiology 2004, 287:1335-1343.