Generally, within an individual patient the primary and metastases appeared to share a DNA fingerprint pattern with minor variations occurring in different sites suggesting that different populations have derived from a common stem line.
However, by age and gender standardising our prevalence estimate to the England cancer patient population, we have derived a reliable estimate of herbal medicine use by cancer survivors.
For a simple case, ie, a one-QTL model for a backcross population, we have derived a tight bound for K. Again, we have chosen not to present the proof since it is extensive and the expression for K is complicated.
The feral populations may have derived from older cultivars that were not included in our analyses or perhaps have already hybridised with related crops or wild relatives.
Under a framework in which admixture occurs over time, potentially with different male and female contributions from the source populations, we have derived recursive expressions for the expectation, variance, and higher moments of the fraction of autosomal admixture.
Possibly, the future population that would have derived benefit is more numerous and needier than the participants and each member would have benefited to a greater extent.
Using nonlinear mixed effects modeling, we have derived population and subject-specific growth model parameters that characterize underlying VFM development and may be used to reconstruct normative reference growth and growth rate curves (as illustrated in Figs. 3, 4, 5).
Under the latter scenario, underground populations from northern Europe would have derived from southern autogenous populations that have subsequently dispersed and colonised underground habitats [ 7, 8].
Many studies have combined multiple datasets to develop the risk model, for example by obtaining controls and cases from different populations [ 7, 30– 32], or have derived risk models in multiple populations [ 33].
Evidence for a separate luminal stem cell population has been derived from lineage tracing experiments, as luminal cells have poor transplantation potential [ 71], although we have shown they can repopulate a cleared fat pad [ 13].
