t (arb. units) |
time |
a (arb. units) |
age of a cell |
ω(a) (arb. units)–1
|
PDF (probability density function) of distribution of generation times |
α (dimensionless value) |
shape parameter for ω(a), equation (2.17) |
β (arb. units) |
scale parameter for ω(a), equation (2.17) |
a0 (arb. units) |
shift parameter for ω(a), equation (2.17) |
k(a) (arb. units)–1
|
probability of mitosis per unit time |
kb (arb. units)–1
|
constant cell division rate |
τ (arb. units) |
mean generation time |
cv |
coefficient of variation of ω(a) |
kd (arb. units)–1
|
cell death rate |
n(a, t) (arb. units)–1
|
cell population density |
nh(a, t) (arb. units)–1
|
cell population density from a particular stochastic simulation |
N0
|
initial number of cells |
N(t) |
average number of cells at time t
|
Nlost/Nalive
|
ratio of numbers of lost to live cells |
τ* (arb. units) |
average doubling time of cell population |
v (arb. units)–1
|
average growth rate of cell population |
g(a) (arb. units)–1
|
PDF of age distribution at steady state |
σ(t) |
standard deviation of the mean N(t) |
(σ/N)lim
|
asymptotic value of σ(t)/N(t) at long t
|
γ0 (arb. units)–1
|
cell death rate for competitive population |
Nss
|
steady-state size of competitive population |
σss
|
standard deviation of N(t) at steady state |
p(n;t) (dimensionless value) |
PDF of population size distribution at time t
|
p(tn) (arb. units)–1
|
PDF of distribution of times tn to reach n cells |