Observe from the above application of Corollary 3.3 that we have a sort of unusual collection of conditions - namely, that y must be 'initially' negative, increasing, and convex.
In other words, the collection of conditions (f(a)le0), (Delta f(a ge0), (Delta_{a}^{mu}f(t ge0) is not sufficient to deduce that (Delta^{2}y(t)ge0) holds for (tinmathbb{N}_{a+1}).
The work in this section supplies a variety of conditions on the relative positions of various trajectories such that when a set of inputs allows an appropriate collection of conditions to be satisfied, a pocket or rostral rhythm results.
macrophage cultures were washed three times to remove noningested material and further cultured in serum-free medium (GIBCO 31885) for 24 h prior to collection of conditioned media.
For collection of conditioned media, cell lines were grown to 80% confluence and washed with PBS and then cultured for 24 hrs in their respective serum-free media.
Results: We developed a procedure named DINA (DIfferential Network Analysis), which is able to identify set of genes, whose co-regulation is condition-specific, starting from a collection of condition-specific gene expression profiles.
Vehicle- or TNFα-treated cultures were discarded after the collection of conditioned media.
For the collection of conditioned media, cells were treated for 24 hours before harvest and stored at −20°C.
Amyloidosis refers to a collection of conditions in which abnormal protein folding results in insoluble fibril deposition in tissues.
Following collection of conditioned media, cells from different wells were trypsinized and counted to normalize the MMP-2 secreted.
The autism spectrum disorders are a collection of conditions, which have, in common, impaired socialization and communication in association with stereotypic behaviors.
