Processes 2018, 6, 134
Table 1. Cont.
Parameter
Description
Dimensional Value
Units
Reference
xr
Number of binding sites for SREBP-2 on receptor gene.
1
[12]
ω
Influx of extracellular VLDL.
6 × 10 7
molec./mL
This study.
m h0
Initial HMGCR mRNA conc.
3.0 × 10 9
molec./mL
This study [10]
m r0
Initial LDLR mRNA conc.
5.0 × 10 9
molec./mL
[38]
h 0
Initial HMGCR conc.
9.04 × 10 11
molec./mL This study/[10]
l E0
Initial extracellular LDL conc.
1.17 × 10 13
molec./mL
[15,17]
v E0
Initial extracellular VLDL conc.
2.95 × 10 12
molec./mL
[15,17]
r f 0
Initial unbound receptor conc.
3.27 × 10 13
molec./mL
[15,30]
Table 2. Table of non-dimensional parameters including their definition and value.
Parameter
Description
Definition
Non-Dimensional Value
μ mh
Rate of HMGCR mRNA transcription.
μ ∗
mh
s0δmh
1.406 × 10 −7
μmr
Rate of receptor mRNA transcription.
μ ∗
mr
s0δmh
1.240 × 10 −6
μ h
Rate of HMGCR translation.
μ h
δmh
7.4011 × 10 2
μr
Rate of receptor translation.
μ r s0
δmhr f 0
2.876 × 10 7
μc
Rate of cholesterol synthesis.
μ c
δmh
2.099 × 10 5
κ mh
HMGCR DNA-SREBP-2binding affinity.
κmh
s0
1
κmr
Receptor DNA-SREBP-2binding affinity.
κmr
s0
1
κc
SREBP-Cholesterol dissociation constant.
κc
c0
4.714 × 10 −1
δ mh
Rate of HMGCR mRNA degradation.
δmh
δmh
1
δmr
Rate of receptor mRNA degradation.
δmr
δmh
1
δ h
Rate of HMGCR degradation.
δh
δmh
1.433
δc
Rate of cholesterol degradation.
δc
δmh
2.679
α L
Rate of receptor-LDL binding.
αLr0
δmh
4.846 × 10 1
α −L
Rate of receptor-LDL unbinding.
α−L
δmh
1.317 × 10 1
αv
Rate of receptor-VLDL binding.
αvr0
δmh
6.782 × 10 2
α−v
Rate of receptor-VLDL unbinding.
α−v
δmh
6.585
β L
Rate of LDL internalisation.
β L
δmh
6.027 × 10 1
βv
Rate of VLDL internalisation.
β v
δmh
6.027 × 10 1
β 0
Rate of empty pit internalisation.
Pβ 0 r P−1
0
δmh
0
γ L
Rate of LDL-cholesterol conversion.
γ L
δmh
7.440 × 10 1
γv
Rate of VLDL-cholesterol conversion.
γ v
δmh
7.440 × 10 1
γr
Rate of receptor recycling.
γ r
δmh
2.232 × 10 2
χv
Rate of VLDL-LDL breakdown.
χ v
δmh
1.94 × 10 −1
ω
Influx of extracellular VLDL.
ω
δmhvE0
4.540 × 10 −1
ϑ l
Ratio of initial free receptors to initial extracellular LDL.
r f 0
lE0
2.786
ϑv
Ratio of initial free receptors to initial extracellular VLDL.
r f 0
vE0
1.105 × 10 1
σ l
Ratio of initial extracellular LDL to intracellular
cholesterol concentration.
lE0
c0
6.190 × 10 −7
σv
Ratio of initial extracellular VLDL to to intracellular
cholesterol concentration.
vE0
c0
1.561 × 10 −7
ρv
Ratio of extracellular VLDL to LDL concentration.
vE0
lE0
2.521 × 10 −1
90
Table 1. Cont.
Parameter
Description
Dimensional Value
Units
Reference
xr
Number of binding sites for SREBP-2 on receptor gene.
1
[12]
ω
Influx of extracellular VLDL.
6 × 10 7
molec./mL
This study.
m h0
Initial HMGCR mRNA conc.
3.0 × 10 9
molec./mL
This study [10]
m r0
Initial LDLR mRNA conc.
5.0 × 10 9
molec./mL
[38]
h 0
Initial HMGCR conc.
9.04 × 10 11
molec./mL This study/[10]
l E0
Initial extracellular LDL conc.
1.17 × 10 13
molec./mL
[15,17]
v E0
Initial extracellular VLDL conc.
2.95 × 10 12
molec./mL
[15,17]
r f 0
Initial unbound receptor conc.
3.27 × 10 13
molec./mL
[15,30]
Table 2. Table of non-dimensional parameters including their definition and value.
Parameter
Description
Definition
Non-Dimensional Value
μ mh
Rate of HMGCR mRNA transcription.
μ ∗
mh
s0δmh
1.406 × 10 −7
μmr
Rate of receptor mRNA transcription.
μ ∗
mr
s0δmh
1.240 × 10 −6
μ h
Rate of HMGCR translation.
μ h
δmh
7.4011 × 10 2
μr
Rate of receptor translation.
μ r s0
δmhr f 0
2.876 × 10 7
μc
Rate of cholesterol synthesis.
μ c
δmh
2.099 × 10 5
κ mh
HMGCR DNA-SREBP-2binding affinity.
κmh
s0
1
κmr
Receptor DNA-SREBP-2binding affinity.
κmr
s0
1
κc
SREBP-Cholesterol dissociation constant.
κc
c0
4.714 × 10 −1
δ mh
Rate of HMGCR mRNA degradation.
δmh
δmh
1
δmr
Rate of receptor mRNA degradation.
δmr
δmh
1
δ h
Rate of HMGCR degradation.
δh
δmh
1.433
δc
Rate of cholesterol degradation.
δc
δmh
2.679
α L
Rate of receptor-LDL binding.
αLr0
δmh
4.846 × 10 1
α −L
Rate of receptor-LDL unbinding.
α−L
δmh
1.317 × 10 1
αv
Rate of receptor-VLDL binding.
αvr0
δmh
6.782 × 10 2
α−v
Rate of receptor-VLDL unbinding.
α−v
δmh
6.585
β L
Rate of LDL internalisation.
β L
δmh
6.027 × 10 1
βv
Rate of VLDL internalisation.
β v
δmh
6.027 × 10 1
β 0
Rate of empty pit internalisation.
Pβ 0 r P−1
0
δmh
0
γ L
Rate of LDL-cholesterol conversion.
γ L
δmh
7.440 × 10 1
γv
Rate of VLDL-cholesterol conversion.
γ v
δmh
7.440 × 10 1
γr
Rate of receptor recycling.
γ r
δmh
2.232 × 10 2
χv
Rate of VLDL-LDL breakdown.
χ v
δmh
1.94 × 10 −1
ω
Influx of extracellular VLDL.
ω
δmhvE0
4.540 × 10 −1
ϑ l
Ratio of initial free receptors to initial extracellular LDL.
r f 0
lE0
2.786
ϑv
Ratio of initial free receptors to initial extracellular VLDL.
r f 0
vE0
1.105 × 10 1
σ l
Ratio of initial extracellular LDL to intracellular
cholesterol concentration.
lE0
c0
6.190 × 10 −7
σv
Ratio of initial extracellular VLDL to to intracellular
cholesterol concentration.
vE0
c0
1.561 × 10 −7
ρv
Ratio of extracellular VLDL to LDL concentration.
vE0
lE0
2.521 × 10 −1
90