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The exposure index from multiple pesticide applications could be estimated by substituting RATE in Eq. (3) with the maximum value of RATE_eq during a year or a cropping season.
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1. Constant gas rate Substituting constant gas rate inner boundary condition and the outer boundary condition into Eqs.
This is done by substituting the rate parameters that optimize the likelihood function in the transition probability matrix P t) (refer to the Methods section for the definitions), where t is the length of the branch.
Bayesian MCMC analyses revealed that the estimated substitute rate for the unlinked loci were not significantly different from those of the linked loci.
So we further investigated the substitute rate in E2F1/2/3 subgroup and E2F4/5 subgroup in more closely related organisms.
In the same study, they also found that the CpG substitute rate is positively correlated with non-CpG divergence and negatively correlated with GC content [ 11].
The proportion of invariable sites and the gamma distribution parameter were estimated from the data set, and the number of substitute rate categories was set to four.
The proportion of invariable sites and the gamma distribution parameter were estimated from the data set and the number of substitute rate categories was set to 4. Bootstrap supports were estimated based on 1,000 replicates generated by the SEQBOOT program of PHYLIP v3.69 (Felsenstein 1989).
Note although the derivation of Equations 3– 8 above is presented for nucleotide characters, these equations are also applicable to amino acid characters by substituting an amino acid substitution rate matrix for the nucleotide substitution rate matrix Q in Equations 1 and 2, and could also be applied to morphological characters that evolve in accord with the Mk matrix [ 61, 62].
To solve ( {p}_n^{ast }(t) ), substituting the rate-power function Eq. (2) into Eq. (18), then differentiating with respect to the transmit power p n (t) (decision variable), we will obtain: {p}_n^{ast }(t)=frac{Q_n(t)+{Z}_n(t)}{2mathit{ln}2cdot pV}-frac{1}{h_n(t)}forall n,kern0.5em t (19).
Empirical substituent constants and QM indices related to the electron density at the reaction centers in intact molecules and transition intermediates can be used to substitute the rate parameters of the spontaneous biological reactions.
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