By analyzing the Jacobian matrix of the proportions Y/ N and Z/ N of individuals with primary infection only and of individuals with primary infection and the cofactor near the disease and cofactor free state, we find that the proportion of individuals with the primary disease always approaches zero unless R0 0) > >1.
The variances of the random effects were assumed to be <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0008227.e002.PNG" class= inline-graphic"/>, where K was the kinship matrix consisting of the proportion of shared allele values, I was an identity matrix, Vg the genetic variance and VR the residual variance.
The phenotypic covariance matrix between subjects was modeled using the matrix of the expected proportion of alleles shared IBD over the genome between each pair of individuals.
The M statistic was calculated as follows: M = (obs - exp) T S- (obs - exp) where obs is a vector of normalized observed proportions, exp is a vector of normalized expected proportions, S is a 10 × 10 variance-covariance matrix of the baseline proportions (calculated with data for 156 weeks).
In each row of this matrix, the proportion of ones and zeros is equal to λ/(1 − λ), but the positions of the ones and zeros are uniform randomly distributed from row to row.
Both the diagonal elements of the genomic relationship matrix and the proportion of homozygous SNPs can be used to measure inbreeding.
The concentration of the MMP-generated VDIPEN neoepitope in adult joint cartilage represents 15 20% of the resident aggrecan molecules within the matrix, and the proportion of G1-VDIPEN in OA and RA cartilage is about the same as in adult joint cartilage, although high levels of staining are seen in areas of cartilage damage [ 87].
Estimates of the base frequencies, the substitution rate model matrix and the proportion of invariable sites were fixed.
Regression models suggest these trends may be influenced by characteristics within the matrix, principally the proportion of housing and variables associated with shrub and canopy vegetation.
This effect is greatly enhanced in the (3, 4, 5, 6) matrix, where the proportion of valid games will be 0.376 (0.141).
