A new model for the mechanochemical response of smooth muscle is
presented. T he focus is on the response of the actin myosin complex and
on the related generation of force (or stress). The chemical (kinetic)
model describes the cross-bridge interactions with the thin filament in
which the calcium-dependent myosin phosphorylation is the only
regulatory mechanism. The new mechanical model is based on Hill's
three-component model and it includes one internal state variable that
describes the contraction/relaxation of the contractile units. It is
characterized by a strain-energy function and an evolution law
incorporating only a few material parameters with clew physical meaning.
The proposed model satisfies the second law of thermodynamics. The
results of the combined coupled model are broadly consistent with
isometric and isotonic experiments on smooth muscle tissue. The
simulations suggest that the matrix in which the actin myosin complex is
embedded does have a viscous property. It is straightforward for
implementation into a finite element program in order to solve more
complex boundary-value problems such as the control of short-term
changes in lumen diameter of arteries due to mechanochemical signals.
Holzapfel, GA (Reprint Author), Graz Univ Technol, Inst Biomech, Ctr Biomed Engn, Kronesgasse 5-1, A-8010 Graz, Austria..
Holzapfel, Gerhard A., Graz Univ Technol, Inst Biomech, Ctr Biomed Engn, A-8010 Graz, Austria.
Murtada, Sae-Il; Kroon, Martin; Holzapfel, Gerhard A., Royal Inst Technol KTH, Dept Solid Mech, Sch Engn Sci, S-10044 Stockholm, Sweden.
web-of-science-categories
Biophysics; Engineering, Biomedical
funding-text
The authors wish to thank Professor Anders Arner from the Karolinska
Institutet in Stockholm for the constructive discussions. Financial
support for SM was provided through a Project grant (\# 2005-6167) from
the `Swedish Research Council' (VR). This support is gratefully
acknowledged.
%0 Journal Article
%1 murtada-kroon
%A Murtada, Sae-Il
%A Kroon, Martin
%A Holzapfel, Gerhard A.
%C TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
%D 2010
%I SPRINGER HEIDELBERG
%J BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
%K calcium force muscle
%N 6
%P 749-762
%R 10.1007/s10237-010-0211-0
%T A calcium-driven mechanochemical model for prediction of force
generation in smooth muscle
%V 9
%X A new model for the mechanochemical response of smooth muscle is
presented. T he focus is on the response of the actin myosin complex and
on the related generation of force (or stress). The chemical (kinetic)
model describes the cross-bridge interactions with the thin filament in
which the calcium-dependent myosin phosphorylation is the only
regulatory mechanism. The new mechanical model is based on Hill's
three-component model and it includes one internal state variable that
describes the contraction/relaxation of the contractile units. It is
characterized by a strain-energy function and an evolution law
incorporating only a few material parameters with clew physical meaning.
The proposed model satisfies the second law of thermodynamics. The
results of the combined coupled model are broadly consistent with
isometric and isotonic experiments on smooth muscle tissue. The
simulations suggest that the matrix in which the actin myosin complex is
embedded does have a viscous property. It is straightforward for
implementation into a finite element program in order to solve more
complex boundary-value problems such as the control of short-term
changes in lumen diameter of arteries due to mechanochemical signals.
@article{murtada-kroon,
abstract = {{A new model for the mechanochemical response of smooth muscle is
presented. T he focus is on the response of the actin myosin complex and
on the related generation of force (or stress). The chemical (kinetic)
model describes the cross-bridge interactions with the thin filament in
which the calcium-dependent myosin phosphorylation is the only
regulatory mechanism. The new mechanical model is based on Hill's
three-component model and it includes one internal state variable that
describes the contraction/relaxation of the contractile units. It is
characterized by a strain-energy function and an evolution law
incorporating only a few material parameters with clew physical meaning.
The proposed model satisfies the second law of thermodynamics. The
results of the combined coupled model are broadly consistent with
isometric and isotonic experiments on smooth muscle tissue. The
simulations suggest that the matrix in which the actin myosin complex is
embedded does have a viscous property. It is straightforward for
implementation into a finite element program in order to solve more
complex boundary-value problems such as the control of short-term
changes in lumen diameter of arteries due to mechanochemical signals.}},
added-at = {2013-01-07T13:51:18.000+0100},
address = {{TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}},
affiliation = {{Holzapfel, GA (Reprint Author), Graz Univ Technol, Inst Biomech, Ctr Biomed Engn, Kronesgasse 5-1, A-8010 Graz, Austria..
Holzapfel, Gerhard A., Graz Univ Technol, Inst Biomech, Ctr Biomed Engn, A-8010 Graz, Austria.
Murtada, Sae-Il; Kroon, Martin; Holzapfel, Gerhard A., Royal Inst Technol KTH, Dept Solid Mech, Sch Engn Sci, S-10044 Stockholm, Sweden.}},
author = {Murtada, Sae-Il and Kroon, Martin and Holzapfel, Gerhard A.},
author-email = {{holzapfel@TUGraz.at}},
biburl = {https://www.bibsonomy.org/bibtex/20a762bea116f61e6fbbd66035b34af59/jehiorns},
doc-delivery-number = {{684AA}},
doi = {{10.1007/s10237-010-0211-0}},
funding-acknowledgement = {{`Swedish Research Council' (VR) {[}2005-6167]}},
funding-text = {{The authors wish to thank Professor Anders Arner from the Karolinska
Institutet in Stockholm for the constructive discussions. Financial
support for SM was provided through a Project grant (\# 2005-6167) from
the `Swedish Research Council' (VR). This support is gratefully
acknowledged.}},
interhash = {5b4175902bc85357aeb9d7243a3440a3},
intrahash = {0a762bea116f61e6fbbd66035b34af59},
issn = {{1617-7959}},
journal = {{BIOMECHANICS AND MODELING IN MECHANOBIOLOGY}},
journal-iso = {{Biomech. Model. Mechanobiol.}},
keywords = {calcium force muscle},
keywords-plus = {{RAT CEREBROVASCULAR ARTERIES; MATHEMATICAL-MODEL; MYOGENIC RESPONSE;
SKELETAL-MUSCLE; MODIFIED HILL; SIDE-POLAR; CONTRACTION; MYOSIN; STRESS;
AIRWAY}},
language = {{English}},
month = {{DEC}},
number = {{6}},
number-of-cited-references = {{40}},
pages = {{749-762}},
publisher = {{SPRINGER HEIDELBERG}},
research-areas = {{Biophysics; Engineering}},
times-cited = {{13}},
timestamp = {2013-01-07T13:51:18.000+0100},
title = {{A calcium-driven mechanochemical model for prediction of force
generation in smooth muscle}},
type = {{Article}},
unique-id = {{ISI:000284518200008}},
volume = {{9}},
web-of-science-categories = {{Biophysics; Engineering, Biomedical}},
year = {{2010}}
}