On the complexity of edge labelings for trees

AbstractGiven a tree T with n edges and a set W of n weights, we deal with labelings of the edges of T with weights from W, optimizing certain objective functions. For some of these functions the optimization problem is shown to be NP-complete (e.g., finding a labeling with minimal diameter), and for others we find polynomial-time algorithms (e.g., finding a labeling with minimal average distance)

Neurotrauma: 2022 update

The year 2021 was highlighted by many notable advancements in the field of neurotrauma and associated neuropathology. After a thorough review of the new literature, we call attention to what we feel are among the most impactful studies and publications. In brief, 2021 was marked by published consensus papers related to the diagnosis of chronic traumatic encephalopathy (CTE) and its clinical counterpart, traumatic encephalopathy syndrome. There was also progress toward our understanding of the impact of traumatic brain injury (TBI) on the general population, and how strongly CTE pathology may, or may not, commonly underlie long term clinical sequelae following TBI. Next, a critical new study has identified that acetylated tau protein, which has been found to be increased in the brains of Alzheimer’s disease and CTE patients, can be induced by TBI, is neurotoxic, and that its reduction via already-existent therapeutics is neuroprotective. There are also several important updates that pertain to military and blast TBI, particularly as they pertain to establishing causality of interface astroglial scarring. In addition, and for the first time, a specific signature for diffuse axonal injury has been identified in ex vivo tissues using multidimensional magnetic resonance imaging, providing promise for the clinical diagnosis of this lesion. Finally, several important radiologic studies from 2021 have highlighted long-standing structural reductions in a number of brain regions following both mild and severe TBI, emphasizing the need for neuropathologic correlation. We end by highlighting an editorial piece discussing how TBI is portrayed in entertainment media and how this impacts public perception of TBI and its consequences

A New Method for Searching for Free Fractional Charge Particles in Bulk Matter

We present a new experimental method for searching for free fractional charge in bulk matter; this new method derives from the traditional Millikan liquid drop method, but allows the use of much larger drops, 20 to 100 mm in diameter, compared to the traditional method that uses drops less than 15 mm in diameter. These larger drops provide the substantial advantage that it is then much easier to consistently generate drops containing liquid suspensions of powdered meteorites and other special minerals. These materials are of great importance in bulk searches for fractional charge particles that may have been produced in the early universe.Comment: 17 pages, 5 figures in a singl PDF file (created from WORD Doc.). Submitted to Review of Scientific Instrument

Changing Traditions: Supervision, Co-Teaching, and Lessons Learned in a Professional Development School Partnership

Considering how long societies have been educating their youth, the history of teacher education is relatively brief. The first efforts to provide systematic education for teachers with some kind of practical experience occurred in Rheims, France, in the late 17th century when Jean Baptiste De La Salle opened the first normal school

Distinct subsets of unmyelinated primary sensory fibers mediate behavioral responses to noxious thermal and mechanical stimuli

Behavioral responses to painful stimuli require peripheral sensory neurons called nociceptors. Electrophysiological studies show that most C-fiber nociceptors are polymodal (i.e., respond to multiple noxious stimulus modalities, such as mechanical and thermal); nevertheless, these stimuli are perceived as distinct. Therefore, it is believed that discrimination among these modalities only occurs at spinal or supraspinal levels of processing. Here, we provide evidence to the contrary. Genetic ablation in adulthood of unmyelinated sensory neurons expressing the G protein-coupled receptor Mrgprd reduces behavioral sensitivity to noxious mechanical stimuli but not to heat or cold stimuli. Conversely, pharmacological ablation of the central branches of TRPV1+ nociceptors, which constitute a nonoverlapping population, selectively abolishes noxious heat pain sensitivity. Combined elimination of both populations yielded an additive phenotype with no additional behavioral deficits, ruling out a redundant contribution of these populations to heat and mechanical pain sensitivity. This double-dissociation suggests that the brain can distinguish different noxious stimulus modalities from the earliest stages of sensory processing

Comparison of primary afferent and glutamate excitation of neurons in the mammalian spinal dorsal horn

The actions of L-glutamate and agonists, agents blocking their membrane receptors and dorsal root afferent volleys, were compared on intracellularly recorded neuronal activity in an in vitro horizontal slice preparation of the hamster spinal dorsal horn. Bath-applied L- glutamate or L-aspartate (less than or equal to 1 mM) rapidly depolarized and excited less than a third of the dorsal horn neurons sampled. Bathing solutions containing low Ca2+ eliminated synaptic transmission in the slices but failed to block the excitatory effects of L-glutamate for the majority of the neurons tested. N- Acetylaspartylglutamate had no effect on dorsal horn neurons at concentrations up to 1 mM. Neurons excited by L-glutamate were most commonly located in the superficial dorsal horn (laminae I and II). Neurons insensitive to L-glutamate were more broadly distributed, with a number being located in laminae III-V. Kynurenic acid, 2-amino-4- phosphonobutyric acid, and 2,3-piperidine dicarboxylic acid selectively antagonized rapid, short-lasting synaptic components of the dorsal cord potentials. Kynurenic acid reversibly antagonized intracellularly recorded L-glutamate-induced excitation, spontaneous synaptic potentials, and fast synaptic potentials evoked by dorsal root volleys. Compounds with strong antagonist actions at the NMDA receptor, 2-amino- 5-phosphonovaleric acid and D-alpha-aminoadipic acid, were much less effective in suppressing the effects of L-glutamate or in blocking synaptic potentials. We conclude that a subset of spinal neurons directly excited by dorsal root fibers have excitatory membrane receptors activated by L-glutamate. This conclusion is consistent with the concept that L-glutamate or a substance binding to the receptors it activates is released from the central terminals of some primary afferent fibers and mediates fast synaptic transmission from them to certain spinal neurons in the dorsal horn

Can the Existence of Dark Energy Be Directly Detected?

The majority of astronomers and physicists accept the reality of dark energy and also believe that it can only be studied indirectly through observation of the motions of stars and galaxies. In this paper I open the experimental question of whether it is possible to directly detect dark energy through the presence of dark energy density. Two thirds of this paper outlines the major aspects of dark energy density as now comprehended by the astronomical and physics community. The final third summarizes various proposals for direct detection of dark energy density or its possible effects. At this time I do not have a fruitful answer to the question: Can the Existence of Dark Energy Be Directly Detected?Comment: 4 page