One can then obtain all characteristics of the stochastic process, such as the average tumour size n(t) and the average frequency n res (t)/ n(t) of resistant cells within a tumour.
Consider a population N t, of N individuals at generation t, split in those with a fit genotype, N f t, and those with an unfit one, N u t.
In other words, the semi-permeability hypothesis imposes that the average number of ferritin molecules N (t) is a increasing function of time t.
Given a set of N t taxonomic units, a perfectly congruent clustering would yield the minimal T min = N t − 1 number of transitions on the tree.
We observe a sample of n t individuals at generation t of which a t are of the selected type, so that a t / n t is an empirical estimate of f t.
"I was homeless, and I didn"t have a house, and because of the kindness of all these strangers, I do--I have a house!
Obviously, x ( t ) = ∑ n = 0 ∞ x n ( t ) is a continuous solution of (2.2).
Because Ẽ < 1 and n ≫ 1, the time dependence of n(t) is, to an excellent approximation, an exponential decay with rate k b.
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