Dendritic spines form and grow during hippocampal long-term potentiation (LTP). In this issue of Neuron, a new study by Park et al. uses both serial reconstruction electron microscopy and time-lapse imaging to show that plasma membrane for such spine expansion is trafficked from recycling endosomes that reside locally at the spines themselves.

We show how to transform any inequality defining a facet of some 0/1-polytope into an inequality defining a facet of the acyclic subgraph polytope. While this facet-recycling procedure can potentially be used to construct ‘nasty’ facets, it can also be used to better understand and extend the polyhedral theory of the acyclic subgraph and linear ordering problems.

“why” mind-set. We are particularly interested in your thoughts about recycling. In particular, we are interested in your thoughts about why you would recycle. For example, what are the underlying reasons for recycling, for what purpose would you recycle, etc.? Please take some time below to explain why you would go about recycling.

A gas-phase reactor with reversible exothermic reactions is the classical example of the many tradeoffs between operating costs and capital costs. Because per-pass conversion is limited by chemical equilibrium, recycle is almost always needed, and this gas recycle is expensive because of the high capital cost and high energy cost of gas compression. At low temperatures, conversion is limited by...