Skip to main content
. 2013 Aug 6;10(85):20130325. doi: 10.1098/rsif.2013.0325
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