Remarkably, the detection limits of the different approaches determined by counting of mutant and wild-type alleles detected by massively parallel sequencing in the primary tumors were highly similar to those observed in the initial allele mixing experiments (Supplementary Figs. S2, S3, S4, S5, S6, S7, S8, S9, S10): 29% for dideoxy sequencing and 11% for pyrosequencing (Table 1 and Fig. 2A).
The methodological approach is determined by problem formulation and implicit assumptions that were made.
Some parameters required for the application of the Bergmann approach are determined by a numerical simulation of the rolling contact.
The scope of this simplified approach is determined by comparison of its results to those of another numerical solution and wave transmission and reflection coefficients from experimental data available in the literature.
Assuming a constant leverage ratio and perpetual free cash flows (i.e., (g = 0)), the tax shield according to the ME approach is determined by begin{aligned} mathrm{TS}^{ME}_t&=sum _{s=t+1}^infty frac{tau cdot r_Dcdot mathbb {E}_t[widetilde{D}_{s-1}]}{(1+r_D)(1+r_mathrm{u})^{s-t-1}}=frac{tau cdot r_Dcdot D_t}{r_mathrm{u}}frac{1+r_mathrm{u}}{1+r_D}.
The statistical variation introduced by the probabilistic approach was determined by repeating each simulation 500 times and the means and standard deviations were calculated from these replicate simulations.
The optimal approach is determined by the research question that is being addressed.
However, parameters measured by this approach are determined by heredity and will not change throughout the life of an individual.
