The expressions of transition proteins 1/2 (TP1/2) and protamine-2 (PRM-2) were greatly diminished at 21 days, but returned to normal at 35 days and 3 months after birth.
Using the definition of MFPT and steepest descent method, one can obtain the expressions of transition rates W ± out of x +, x-, (34) W + = U ″ 0 (x + ) U ″ 0 (x u ) 2 π exp [ ϕ n (x +, t ) - ϕ n (x u, t ) D ]. (35) W - = U ″ 0 (x - ) U ″ 0 (x u ) 2 π exp [ ϕ n (x -, t ) - ϕ n (x u, t ) D ]. in which U x), x +, x-, x u and φ n x, t) are defined by Eq. (3) and Eq. (31), respectively.
(N - m ) ! (1 - μ ) p ¯ n, t - 1 1 - σ + σ (1 - μ ) p ¯ n, t - 1 m 1 - (1 - μ ) p ¯ n, t - 1 1 - σ + σ (1 - μ ) p ¯ n, t - 1 N - m. From the expression of transition probability, it can be seen that the transition probabilities are zero for any frequency p ¯ n, t - 1 under the condition of parameter σ = 1.
Note that the expressions of the transition matrix modeling the physical processes TY∣X and T Z ∣ X ̂ are required in order to perform the optimal test.
Real-time RT-PCR results showed that CONPs might downregulate the expressions of epithelial mesenchymal transition (EMT -related gEMT -relatederin (mesenchymal marker, Cdh2), Twist1, and Snail1 (* P<0.05, Supplementary FigenesS3).
The analytical expressions of these transitions for variable bioreaction kinetic parameters are determined.
The chapter then proceeds to establishing the expression of the transition matrix and investigate general constraints of the transition matrix such as symmetry and unitarity.
In mouse testis, miR-122 is shown to bind and reduce the expression of Tnp2 (transition protein 2) mRNA, 1 of the key transition proteins that replaces histones during the early phase of chromatin condensation that accompanies spermiogenesis (234), and is among the miRNAs with the greatest fold enrichment in prepubertal mouse testis (235).
In particular, a more correct mathematical expression of the transition probability matrix has been derived from the concepts of stochastic process theory.
This analytical expression of the transition density is not tractable and is estimated by updating random samples at random times between t k and tk+1 using tractable proposal distributions (for instance, based on an Euler discretization of the original SDE).
We therefore reach the conclusion that the logarithmic derivative of the Coulomb pseudopotential with pressure, d lnμ*/dP, is smaller as compared to the other logarithmic derivatives involved in the expression of superconducting transition temperature as we dealt with.
