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Transmission at symbol is assigned to the following user in a cyclic order and therefore, (23).
From Fig. 4 and Table 1 it is obvious that for frequent treatments, the tumour is least dense and the tumour stem cells resist to the treatment in a cyclic order.
A k-sized balanced sampling plan avoiding adjacent units (or BSA v,k,λ α) in short) is a pair (X,B), where X is a v-set with a cyclic order (x1,…2,xvxv) and B is a collection of k-subsets of X called blocks, such that no pair of s-adjacent units (xi,xi+s) appears in any block where s= 1,2,…,α, while any other pair of units appears in exactly λ blocks.
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In a first phase, a cyclic ordering of the taxa set is computed.
Both, Neighbor-Net and QNet, use the same agglomeration process to construct a cyclic ordering.
We present here a method that, based on assessing the distribution of character states along a cyclic ordering of the taxa, allows the identification of phylogenetically uninformative homoplastic sites in a multiple sequence alignment.
Neighbor-Net and QNet are both consistent, i.e., if the distances or quartet weights correspond to a circular split system, then they find a cyclic ordering that represents that split system [ 22, 23].
While Neighbor-Net tries to group those taxa close to each other that have a small distance, QNet tries to construct a cyclic ordering that maximizes the sum of the weights of the quartets it realizes.
Hence, to ensure that as much quartet information as possible is represented, QNet [ 21] tries to find a cyclic ordering such that the sum of the weights of all realized quartets is maximal.
The quartet {{ a, b} { c, d}} is said to be realized by a cyclic ordering of X if the straight line connecting a and b and the straight line connecting c and d do not intersect in the interior of the circle.
Therefore, we opted for a shuffling procedure instead: we randomly generate a cyclic ordering C' of the same character states (and their respective frequencies) as those in C and compute the fraction q = q(C, χ) of randomized samples with ν(C', χ) > ν(C, χ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com