Additionally, we anticipated differential expression of genes involved in cell structure and development that may play a role in the irregular morphology observed in embryos reared at high temperatures [31], [35].
Along this line, by a duality between linear stochastic differential delay equations (SDDEs) and anticipated backward stochastic differential equations (ABSDEs) established in [9], the maximum principle for stochastic delay optimal control problems was studied by [10 13].
The phase 3 trial with eritoran particularly had major caveats, including heterogeneity of serum endotoxin levels in the enrolled patients, a lower mortality rate in the placebo group than anticipated, and differential outcomes of patients infected with Gram-positive bacteria between the phase 2 and phase 3 trial (Opal et al, 2013).
We identify them as solutions of coupled forward backward infinite horizon stochastic integral equations (IHSIEs), using the "substitution theorem" of stochastic differential equations with anticipating initial conditions.
Using Malliavin Calculus, we give sufficient conditions ensuring the smoothness of the density for the law of the solution to a Stratonovich stochastic differential equation with anticipating initial condition.
We consider a stochastic differential equation with anticipating initial value and drift, and give two types of sufficient conditions for the absolute continuity of the distribution of the solution with respect to the Lebesgue measure, using the Malliavin calculus.
For the same reason, we do not anticipate differential biases in the SES between cases and controls.
We reasoned that de novo transcriptome assemblers, which anticipate differential coverage, may provide a solution to this problem and indeed our results confirmed this intuition.
However, choosing to retrieve a stick over a stone may be the result of differential stimulus salience rather than anticipated use of the retrieved object.
