Stem cells |
s
(
a
) |
Density function of cycling stem cells |
s
(
a
)δ
a
|
Age distribution of cycling stem cells |
s
(0) |
Rate of entry into stem cell‐cycle |
ρs(a)δa
|
Probability distribution of stem cell‐cycle times |
p
s
(
a
)δ
a
|
Apoptosis‐corrected probability distribution of stem cell‐cycle times |
m
(
a
)δ
a
|
Distribution of stem cell‐cycle times |
M
(
a
)δ
a
|
Apoptosis‐corrected distribution of stem cell‐cycle times |
T̄s
|
Mean stem cell‐cycle time |
T̂s
|
Effective stem cell‐cycle time |
|
Variance of stem cell‐cycle time |
φs
|
Coefficient of variation of stem cell‐cycle time, σs/T̄s
|
N
s
|
Density of stem cells |
f
|
Fraction of cycling stem cells |
r
s
|
Rate of stem cell division |
βs
|
Stem cell apoptotic rate |
α |
Stem cell apoptosis correction term |
Transit‐amplifying cells |
t
i
(
a
) |
Density function of ith generation transit‐amplifying cells |
t
i
(
a
)δ
a
|
Age distribution of ith generation transit‐amplifying cells |
t
i
(0) |
Rate of entry into ith generation cell‐cycle |
ρt(a)δa
|
Probability distribution of transit‐amplifying cell‐cycle times |
p
t
(
a
)δ
a
|
Apoptosis‐corrected probability distribution of transit‐amplifying cell‐cycle times |
T̄t
|
Mean transit‐amplifying cell‐cycle time |
T̂s
|
Effective transit‐amplifying cell‐cycle time |
|
Variance of transit‐amplifying cell‐cycle time |
φt
|
Coefficient of variation of transit‐amplifying cell‐cycle time, σt/T̄t
|
φt
|
Density of ith generation transit‐amplifying cells |
N
t
|
Density of all transit‐amplifying cells |
g
|
Maximum number of transit‐amplifying cell generations |
βt
|
Transit‐amplifying cell apoptotic rate |
Q
i
|
Probability of an ith generation transit‐amplifying cell giving two post‐mitotic cells |
Pi
|
|
l
A–D
|
Frequency of transit lineages |
General |
a
|
Chronological age of cells |
δa
|
Small amount of age |
r
|
Birth rate of post‐mitotic cells per unit area of skin surface |
N
|
Total cell density in germinative compartment |
r
′ |
Cell birth rate of germinative compartment |
GF |
Growth fraction of germinative compartment |
ζ, ξ |
Dummy variables |