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Recently, Dénes and Röst [27] investigated the following SI model: textstylebegin{cases} frac{dS}{dt} =mu-f(S,I -mu S, frac{dI}{dt} =f(S,I -g(I), 1 =S,I -g end{cases} (1.1) where a populatIon of constant size (assumed to be equal to 1) is divided into three compartments: susceptible (denoted by S), infected (denoted by I) and recovered (denoted by R).
It also uses a model for the population which is not really applicable, with McVean et al. [14] cautioning that "coalescent estimation of likelihoods assumes that a random sample has been taken from a population of constant size, with random mating, no migration to or from different populations, and no natural selection".
For a population of constant size, consider two randomly chosen individuals (spouses), X and Y.
Each species consists of a population of constant size where lineages merge according to the coalescent.
The standard Wright Fisher model assumes a population of constant size N.
First, the proportion of derived singletons (55.1%) is much higher than the 34.1% expected in a population of constant size.
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A steady-state turnover of fixations of slightly deleterious and slightly advantageous alleles in a population of a constant size can be detected through patterns in evolution of a large ensemble of loci that all experience approximately the same constant fitness landscape.
E[ S2 − S1] levels off quickly as n1 and n2 increase because the expected time until a single lineage in a diploid population of constant size N coalesces with one of ℓ other lineages is 4 N/(ℓ + 1) (Fu and Li 1993).
We first simulated observations under a simple demographic model of a single population of constant size (Ne = 10,000).
As an overview, the simulation framework begins with the introduction of a 500-kb inversion in a panmictic population of constant size (Ne = 10,000).
Our results on the haplotype pattern of a selective sweep were derived under the assumption of a panmictic population of constant size, raising the question of how they might be affected by past demographic events such as population expansions or bottlenecks.
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