The roles of the protein-serine/threonine kinase, Akt1, in signaling pathways associated with cell motility and extracellular matrix invasion were examined in the immortalized mouse mammary epithelial cell line, COMMA-1D. COMMA-1D cells were engineered to express the avian leukosis subtype A receptor, tv-a, to permit infection by recombinant avian leukosis virus produced by the replication-comp...

is arguably the most misunderstood of punctuation tools. ask someone about comma rules and even those who begin with confidence are likely to trail off apologetically. This is because comma use is not fully explained by rules; it depends in part on taste. But, as David Crystal insists in his history of punctuation, variation in comma use is neither infinite nor totally idiosyncratic [1]. It tur...

We show that Segal spaces, and more generally category objects in an ? \infty -category alttext="...

Graphs and graph transformations are natural means to describe systems of processes. Graphs represent structure of the system, and graph rewriting rules model dynamic behaviour. In this chapter, we illustrate the technique by describing Petri nets, statecharts, parallel logic programming, and systems of processes. Whereas description of Petri nets is based on usual graphs, statecharts lead us t...

As presented in Ehrig et al. (Fundamentals of Algebraic Graph Transformation, EATCS Monographs, Springer, 2006), adhesive high-level replacement (HLR) categories and systems are an adequate framework for several kinds of transformation systems based on the double pushout approach. Since (weak) adhesive HLR categories are closed under product, slice, coslice, comma and functor category construct...

We compare the delta lenses, also known as d-lenses, of Diskin et al. with the c-lenses, known to be equivalent to opfibrations, already studied by the authors. Contrary to expectation a c-lens is a d-lens but not conversely. This result is surprising because d-lenses appear to provide the same information as c-lenses, and some more besides, suggesting that the implication would be the reverse ...

Food waste is a major issue in the United States. For an American family of four, the average value of discarded produce alone is nearly $1,600 annually (EPA, 2015). Our project, Forage, is a machine learning algorithm that considers what you have in the fridge or pantry, to generate an innovative recipe that utilizes those available ingredients. Specifically, Forage takes in a string of availa...

We show that the homotopy category of simplicial diagrams I-SS indexed by a small category I is equivalent to a homotopy category of SS ↓ NI simplicial sets over the nerve NI. Then their equivalences, by means of the nerve functor N : Cat → SS from the category Cat of small categories, with respective homotopy categories associated to Cat are established. Consequently, an equivariant simplicial...