Symbol (units) | Classification | Definition |
---|---|---|
CMM: Bounded |
Gain parameter governing circumferential-stress mediated rate of production of collagen. See Eq. (1) |
|
CMM: Bounded |
Gain parameter governing circumferential-stress mediated rate of production of smooth muscle. See Eq. (1) |
|
CMM: Bounded |
Gain parameter governing shear-stress mediated rate of production of collagen. See Eq. (1) |
|
CMM: Bounded | Gain parameter governing shear-stress mediated rate of production of smooth muscle. See Eq. (1) |
|
MMP-10 (pg) | ABM: Bounded | Baseline mass of MMP-1 |
MMP-1%A (%) | ABM: Bounded | Percent of MMP-1 that is active |
C0 (pg) | ABM: Bounded | Baseline mass of collagen |
CTGF | ABM: Bounded | Rate parameter governing TBFb mediated rate of production of collagen (pg of collagen per pg of TGFb) |
Mp | ABM: Bounded |
Rate parameter governing PDGF mediated SMC proliferation rate (pg of SMC per pg of PDGF) |
M0 (pg) | ABM: Bounded | Baseline SMC proliferation rate (pg) |
Ma1 | ABM: Bounded | Apoptosis chance for SMC (1) |
Ma2 | ABM: Bounded | Baseline apoptosis chance for SMC (2) |
PDGFσθ(pg/kPa) | ABM: Bounded |
Rate parameter governing hoop stress mediated rate of production of PDGF (pg of PDGF per kPa of stress) |
PDGF0 (pg) | ABM: Bounded | Baseline mass of PDGF |
TGFβσθ (pg) | ABM: Bounded |
Rate parameter governing hoop stress mediated rate of production of TGFb (pg of TGFb per kPa of stress) |
TGFβ0 (pg) | ABM: Bounded | Baseline mass of TGFb |
CMM: Observed | Homeostatic stretch when elastin is deposited | |
CMM: Observed | Homeostatic stretch when collagen is deposited | |
CMM: Observed | Homeostatic stretch when SMC is deposited | |
Ce (kPa) | CMM: Calculated |
Neo-Hookean material parameter for the stored energy of elastin |
CMM: Calculated |
Fung-type exponential material parameter for the stored energy of collagen (1) |
|
CMM: Calculated | Fung-type exponential material parameter for the stored energy of SMC (1) |
|
CMM: Observed |
Fung-type exponential material parameter for the stored energy of collagen (2) |
|
CMM: Observed |
Fung-type exponential material parameter for the stored energy of SMC (2) |
|
Tm(kPa) | CMM: Observed | Maximum stress generated by SMC |
λM | CMM: Observed | Circumferential stretch where active stress is maximum |
λ0 | CMM: Observed | Circumferential stretch where active stress is zero |
CB | CMM: Observed |
Material parameter for the ratio of constrictor concentration to dilator concentration |
CS | CMM: Observed |
Scaling parameter for shear stress induced change in constrictor concentration scaling factor |
ϕc(0) | CMM: Observed | Initial mass fraction of collagen in the arterial wall |
ϕe(0) | CMM: Observed | Initial mass fraction of elastin in the arterial wall |
ϕm(0) | CMM: Observed | Initial mass fraction of SMC in the arterial wall |
CMM: Observed | Half-life of SMC | |
CMM: Observed | Half-life of collagen | |
NO0 (pg) | ABM: Observed | Baseline mass of NO |
NOτw | ABM: Observed |
Rate parameter governing shear stress mediated rate of production of NO (pg of NO per kPa of stress) |
δPDGF (pg) αPDGF κPDGF(kPa−1) nPDGF MPDGF |
ABM: Observed | Parameters of the sigmoid function: PDGF = M (δ + α(1 – e−kxn)) Maximum rate of PDGF production |
δET–1 (pg) αET–1 κET–1 (kPa−1 nET–1 MET–1 |
ABM: Observed |
Parameters of the sigmoid function: ET1 = M (δ + α(1 – e−kxn)) Maximum rate of ET-1 production |
δMMP–2 (pg) αMMP–2 κMMP–2 (kPa−1) nMMP–2 MMMP–2 AMMP–2 (%) |
ABM: Observed | Parameters of the sigmoid function: MMP2 = A (M (δ +α(1 – e−kxn))) Maximum rate of MMP-2 production Percent of MMP-2 Active |
DMMP–2 | ABM: Observed | Degradation rate of MMP-2 |
δMMP–9 (pg) αMMP–9 κMMP–9 (KPa−1 nMMP–9 MMMP–9 AMMP–9 (%) |
ABM: Observed | Parameters of the sigmoid function: MMP9 = A (M (δ +α(1 – e−kxn))) Maximum rate of MMP-9 production Percent of MMP-9 Active |
DMMP–9 | ABM: Observed | Degradation rate of MMP-9 |
DMMP–1 | ABM: Observed | Degradation rate of MMP-1 |
Note: Parameters within the ABM or CMM are classified as observed, bounded, or calculated. Observed parameters were either cited elsewhere or obtained via direct measurements or fits to experimental data. Bounded parameters are less well known, but are expected to fall within specified range. Lastly, calculated parameters include those that are needed to satisfy equilibrium under homeostatic conditions.