%0 Journal Article %1 stal-klar %A Stalhand, J. %A Klarbring, A. %A Holzapfel, G. A. %C THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND %D 2008 %I PERGAMON-ELSEVIER SCIENCE LTD %J PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY %K contraction muscle %N 1-3 %P 465-481 %R 10.1016/j.pbiomolbio.2007.07.025 %T Smooth muscle contraction: Mechanochemical formulation for homogeneous finite strains %V 96 %X Chemical kinetics of smooth muscle contraction affect mechanical properties of organs that function under finite strains. In an effort to gain further insight into organ physiology, we formulate a mechanochemical finite strain model by considering the interaction between mechanical and biochemical components of cell function during activation. We propose a new constitutive framework and use a mechanochemical device that consists of two parallel elements: (i) spring for the cell stiffness; (ii) contractile element for the sarcomere. We use a multiplicative decomposition of cell elongation into filament contraction and cross-bridge deformation, and suggest that the free energy be a function of stretches, four variables (free unphosphorylated myosin, phosphorylated cross-bridges, phosphorylated and dephosphorylated cross-bridges attached to actin), chemical state variable driven by Ca2+-concentration, and temperature. The derived constitutive laws are thermodynamically consistent. Assuming isothermal conditions, we specialize the mechanical phase such that we recover the linear model of Yang et al. 2003a. The myogenic response in isolated rat cerebrovascular arteries: smooth muscle cell. Med. Eng. Phys. 25, 691-709. The chemical phase is also specialized so that the linearized chemical evolution law leads to the four-state model of Hai and Murphy 1988. Cross-bridge phosphorylation and regulation of latch state in smooth muscle. Am. J. Physiol. 254, C99-C106. One numerical example shows typical mechanochemical effects and the efficiency of the proposed approach. We discuss related parameter identification, and illustrate the dependence of muscle contraction (Ca (2+)-concentration) on active stress and related stretch. Mechanochemical models of this kind serve the mathematical basis for analyzing coupled processes such as the dependency of tissue properties on the chemical kinetics of smooth muscle. (C) 2007 Elsevier Ltd. All rights reserved.

@article{stal-klar, abstract = {{Chemical kinetics of smooth muscle contraction affect mechanical properties of organs that function under finite strains. In an effort to gain further insight into organ physiology, we formulate a mechanochemical finite strain model by considering the interaction between mechanical and biochemical components of cell function during activation. We propose a new constitutive framework and use a mechanochemical device that consists of two parallel elements: (i) spring for the cell stiffness; (ii) contractile element for the sarcomere. We use a multiplicative decomposition of cell elongation into filament contraction and cross-bridge deformation, and suggest that the free energy be a function of stretches, four variables (free unphosphorylated myosin, phosphorylated cross-bridges, phosphorylated and dephosphorylated cross-bridges attached to actin), chemical state variable driven by Ca2+-concentration, and temperature. The derived constitutive laws are thermodynamically consistent. Assuming isothermal conditions, we specialize the mechanical phase such that we recover the linear model of Yang et al. {[}2003a. The myogenic response in isolated rat cerebrovascular arteries: smooth muscle cell. Med. Eng. Phys. 25, 691-709]. The chemical phase is also specialized so that the linearized chemical evolution law leads to the four-state model of Hai and Murphy {[} 1988. Cross-bridge phosphorylation and regulation of latch state in smooth muscle. Am. J. Physiol. 254, C99-C106]. One numerical example shows typical mechanochemical effects and the efficiency of the proposed approach. We discuss related parameter identification, and illustrate the dependence of muscle contraction (Ca (2+)-concentration) on active stress and related stretch. Mechanochemical models of this kind serve the mathematical basis for analyzing coupled processes such as the dependency of tissue properties on the chemical kinetics of smooth muscle. (C) 2007 Elsevier Ltd. All rights reserved.}}, added-at = {2013-01-07T13:45:03.000+0100}, address = {{THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}}, affiliation = {{Stalhand, J (Reprint Author), Linkoping Inst Technol, Dept Engn Mech, Linkoping, Sweden.. Stalhand, J., Linkoping Inst Technol, Dept Engn Mech, Linkoping, Sweden. Holzapfel, G. A., Royal Inst Technol, Dept Solid Mech, S-10044 Stockholm, Sweden. Holzapfel, G. A., Graz Univ Technol, Inst Biomech, Ctr Biomed Engn, A-8010 Graz, Austria.}}, author = {Stalhand, J. and Klarbring, A. and Holzapfel, G. A.}, author-email = {{jonas.stalhand@liu.se}}, biburl = {https://www.bibsonomy.org/bibtex/214193beccc823734f36510d6659721b9/jehiorns}, doc-delivery-number = {{282WN}}, doi = {{10.1016/j.pbiomolbio.2007.07.025}}, interhash = {ff818953bba4c667a397e8237f027686}, intrahash = {14193beccc823734f36510d6659721b9}, issn = {{0079-6107}}, journal = {{PROGRESS IN BIOPHYSICS \& MOLECULAR BIOLOGY}}, journal-iso = {{Prog. Biophys. Mol. Biol.}}, keywords = {contraction muscle}, keywords-plus = {{RAT CEREBROVASCULAR ARTERIES; MYOGENIC RESPONSE; MODEL; STRESS; MECHANICS; STATE; TONE}}, language = {{English}}, month = {{JAN-APR}}, number = {{1-3}}, number-of-cited-references = {{22}}, pages = {{465-481}}, publisher = {{PERGAMON-ELSEVIER SCIENCE LTD}}, research-areas = {{Biochemistry \& Molecular Biology; Biophysics}}, times-cited = {{28}}, timestamp = {2013-01-07T13:45:03.000+0100}, title = {{Smooth muscle contraction: Mechanochemical formulation for homogeneous finite strains}}, type = {{Review}}, unique-id = {{ISI:000254598000026}}, volume = {{96}}, web-of-science-categories = {{Biochemistry \& Molecular Biology; Biophysics}}, year = {{2008}} }