Table 2.

Parameter values for the coupled smooth muscle contraction - adaptation model. See text for equations and further descriptions of the parameters.

Parameter	Description	Value	Reference
Smooth muscle model
Lm	Myosin filament length	0.3·10−6 [m]	[Liu et al. 2013, Devine & Somlyo 1971]
δm	Distance between myosin monomer	1.45·10−8 [m]	[Xu et al. 1996]
LSMC	SMC length	10−4 [m]	[Humphrey 2002]
NCU	Number of CU in series in a CF	LSMC/(2Lm)
NCF	Number of CF over a unit area	244·1012 [l/m2]	[Devine & Somlyo 1971]
ups	Average elongation caused by P-S	7·10−9 [m]	[Sweeney & Houdusse 2010]
ñAMp	Fraction of attached strong x-bridges	0.389 [-]	[Murtada et al. 2012]
ñAM	Fraction of attached weak x-bridges	0.556 [-]	[Murtada et al. 2012]
kAMp	Elastic stiffness of strong x-bridges	1.423·10−3 [N/m]	Eq. (9)
kAM	Elastic stiffness of weak x-bridges	0.3kAMp	[Murtada et al. 2012]
kpSE	Elastic stiffness of cell cortex	4.371·10−4 [N/m]	Eq (10)
β	Fitting parameter to ${\overline{u}}_{\text{fs}}^{\mathrm{c}}$	1.616·104 [l/s]	Fitting to experiments
sfo	Fitting parameter for filament overlap	3.919·10−10 [m]	Fitting to experiments
${\overline{u}}_{\text{fs}}^{\text{opt}}$	Filament sliding for max filament overlap	1.753·10−3 [-]	Eq (4)
${\overline{u}}_{\mathrm{e}}^{\text{opt}}$	Maximal elongation of elastic components	0.02 [-]	[Arner 1982]
${\lambda }_{\mathrm{\theta }}^{\text{opt}}$	Muscle stretch for maximal active tension	1.604 [-]
$T_{\mathrm{a}}^{\text{opt}}$	Maximal active tension for DTA	1.438 [mN/mm]
$P_{\mathrm{a}}^{\text{opt}}$	Maximal active 1st PK stress for DTA	19.57·103 [Pa]
Ro	Unloaded outer diameter	827·10−6 [m]	[Ferruzzi et al. 2015]
H	Unloaded wall thickness	105·10−6 [m]	[Ferruzzi et al. 2015]
hm	Medial wall thickness ratio	0.7 [-]	[Ferruzzi et al. 2015]
Adaptation model
C[Ag]	Concentration of agonist for 50% adaptation rate	2·10−6 [M]	[Davis et al. 2012]
aλ	Fitting parameter to stretch adaptation	0.691 [-]	Fitting to experiments
τ[Ag]	Time constant related to agonist	2.230·103 [s]	Fitting to experiments
τλ	Time constant for adaptation	τ[Ag]
Passive model
μe	Isotropic elastic modulus	16.03·103 [Pa]	Fitting to experiments
$c_1^{\mathrm{k}}$	Material parameter for fibers	34.93·103 [Pa]	Fitting to experiments
$c_2^{\mathrm{k}}$	Material parameter for fibers	0.007 [-]	Fitting to experiments