Data driven consistency (working title)

We are motivated by applications that need rich model classes to represent them. Examples of rich model classes include distributions over large, countably infinite supports, slow mixing Markov processes, etc. But such rich classes may be too complex to admit estimators that converge to the truth with convergence rates that can be uniformly bounded over the entire model class as the sample size increases (uniform consistency). However, these rich classes may still allow for estimators with pointwise guarantees whose performance can be bounded in a model dependent way. The pointwise angle of course has the drawback that the estimator performance is a function of the very unknown model that is being estimated, and is therefore unknown. Therefore, even if the estimator is consistent, how well it is doing may not be clear no matter what the sample size is. Departing from the dichotomy of uniform and pointwise consistency, a new analysis framework is explored by characterizing rich model classes that may only admit pointwise guarantees, yet all the information about the model needed to guage estimator accuracy can be inferred from the sample at hand. To retain focus, we analyze the universal compression problem in this data driven pointwise consistency framework.Comment: Working paper. Please email authors for the current versio

Context Dependent Neuroprotective Properties of Prion Protein (Prp)

Although it has been known for more than twenty years that an aberrant conformation of the prion protein (PrP) is the causative agent in prion diseases, the role of PrP in normal biology is undetermined. Numerous studies have suggested a protective function for PrP, including protection from ischemic and excitotoxic lesions and several apoptotic insults. On the other hand, many observations have suggested the contrary, linking changes in PrP localization or domain structure—independent of infectious prion conformation—to severe neuronal damage. Surprisingly, a recent report suggests that PrP is a receptor for toxic oligomeric species of a-β, a pathogenic fragment of the amyloid precursor protein, and likely contributes to disease pathogenesis of Alzheimer’s disease. We sought to access the role of PrP in diverse neurological disorders. First, we confirmed that PrP confers protection against ischemic damage using an acute stroke model, a well characterized association. After ischemic insult, PrP knockouts had dramatically increased infarct volumes and decreased behavioral performance compared to controls. To examine the potential of PrP’s neuroprotective or neurotoxic properties in the context of other pathologies, we deleted PrP from several transgenic models of neurodegenerative disease. Deletion of PrP did not substantially alter the disease phenotypes of mouse models of Parkinson’s disease or tauopathy. Deletion of PrP in one of two Huntington’s disease models tested, R6/2, modestly slowed motor deterioration as measured on an accelerating rotarod but otherwise did not alter other major features of the disease. Finally, transgenic overexpression of PrP did not exacerbate the Huntington’s motor phenotype. These results suggest that PrP has a context-dependent neuroprotective function and does not broadly contribute to the disease models tested herein.Ellison Medical FoundationWhitaker Health Sciences Fund Fellowshi

Antibody-Mediated Rejection in Heart Transplantation: Case Presentation with a Review of Current International Guidelines

Antibody-mediated rejection (AMR) (humoral rejection) of cardiac allografts remains difficult to diagnose and treat. Interest in AMR of cardiac allografts has increased over the last decade as it has become apparent that untreated humoral rejection threatens graft and patient survival. An international and multidisciplinary consensus group has formulated guidelines for the diagnosis and treatment of AMR and established that identification of circulating or donor-specific antibodies is not required and that asymptomatic AMR, that is, biopsy-proven AMR without cardiac dysfunction is a real entity with worsened prognosis. Strict criteria for the diagnosis of cardiac AMR have not been firmly established, although the diagnosis relies heavily on tissue pathological findings. Therapy remains largely empirical. We review an unfortunate experience with one of our patients and summarize recommended criteria for the diagnosis of AMR and potential treatment schemes with a focus on current limitations and the need for future research and innovation

Could a defective epithelial sodium channel lead to bronchiectasis

<p>Abstract</p> <p>Background</p> <p>Bronchiectasis is defined as a permanent dilation of the airways arising from chronic bronchial inflammation/infection. In 50% of cases, no etiology can be identified. Recently, the role of the epithelial sodium channel ENaC has been pointed out in the pathophysiology of cystic fibrosis, a disease due to mutations in the <it>CFTR </it>gene and causing bronchiectasis in the airways. Moreover, it was found that transgenic mice overexpressing <it>ENaCβ </it>present cystic fibrosis-like lung disease symptoms. Our aim was to evaluate if a defective ENaC protein could be involved in the development of bronchiectasis.</p> <p>Methods</p> <p>We extensively analysed <it>ENaCβ </it>and <it>γ </it>genes in 55 patients with idiopathic bronchiectasis and without two mutations in the coding regions of <it>CFTR</it>. Thirty-eight patients presented functional abnormalities suggesting impaired sodium transport (abnormal sweat chloride concentration or nasal potential difference measurement), and 17 had no such evidence.</p> <p>Results</p> <p>Sequencing of the exons and flanking introns of the <it>ENaCβ </it>and <it>γ </it>gene identified five different amino-acid changes (p.Ser82Cys, p.Pro369Thr, p.Asn288Ser in <it>ENaCβ </it>; and p.Gly183Ser, p.Glu197Lys in <it>ENaCγ</it>) in heterozygous state in 8 patients. The p.Ser82Cys amino-acid change was found in 3 unrelated patients who were also heterozygous for a <it>CFTR </it>mutation or variant (1 p.F508del, 1 IVS8-5T, and 1 IVS8-5T:1716G>A (p.E528E)). The other mutations were found in patients without <it>CFTR </it>mutation, the p.Glu197Lys mutation in 2 patients and the other variants in single patients. Among the 8 patients bearing an <it>ENaC </it>mutation, 5 had functional abnormalities suggesting impaired sodium transport.</p> <p>Conclusion</p> <p>Our results suggest that several variants in <it>ENaCβ </it>and <it>γ </it>genes might be deleterious for ENaC function and lead to bronchiectasis, especially in patients who are trans-heterozygotes for <it>ENaCβ/CFTR </it>mutations or variants.</p

Synaptotagmin‐7 enhances calcium‐sensing of chromaffin cell granules and slows discharge of granule cargos

Synaptotagmin‐7 (Syt‐7) is one of two major calcium sensors for exocytosis in adrenal chromaffin cells, the other being synaptotagmin‐1 (Syt‐1). Despite a broad appreciation for the importance of Syt‐7, questions remain as to its localization, function in mediating discharge of dense core granule cargos, and role in triggering release in response to physiological stimulation. These questions were addressed using two distinct experimental preparations—mouse chromaffin cells lacking endogenous Syt‐7 (KO cells) and a reconstituted system employing cell‐derived granules expressing either Syt‐7 or Syt‐1. First, using immunofluorescence imaging and subcellular fractionation, it is shown that Syt‐7 is widely distributed in organelles, including dense core granules. Total internal reflection fluorescence (TIRF) imaging demonstrates that the kinetics and probability of granule fusion in Syt‐7 KO cells stimulated by a native secretagogue, acetylcholine, are markedly lower than in WT cells. When fusion is observed, fluorescent cargo proteins are discharged more rapidly when only Syt‐1 is available to facilitate release. To determine the extent to which the aforementioned results are attributable purely to Syt‐7, granules expressing only Syt‐7 or Syt‐1 were triggered to fuse on planar supported bilayers bearing plasma membrane SNARE proteins. Here, as in cells, Syt‐7 confers substantially greater calcium sensitivity to granule fusion than Syt‐1 and slows the rate at which cargos are released. Overall, this study demonstrates that by virtue of its high affinity for calcium and effects on fusion pore expansion, Syt‐7 plays a central role in regulating secretory output from adrenal chromaffin cells.Syt‐7 is a high‐affinity calcium sensor expressed on chromaffin cell dense core granules. The purpose of this study was to assess the role of Syt‐7 in regulating the secretory response to cholinergic stimulation. Acetylcholine elicits secretion by elevating cytosolic calcium. The calcium sensitivity of exocytosis in cells lacking Syt‐7 is impaired. Cells that lack Syt‐7 also release peptide hormones at faster rates, implicating a role for Syt‐7 in regulating the exocytotic fusion pore. These data demonstrate that Syt‐7 has an important role in triggering exocytosis in cells and is likely to play a role in controlling hormone output, in situ.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/162737/3/jnc14986.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/162737/2/jnc14986-sup-0001-Supinfo.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/162737/1/jnc14986_am.pd

Topological Price of Anarchy bounds for clustering games on networks

We consider clustering games in which the players are embedded in a network and want to coordinate (or anti-coordinate) their choices with their neighbors. Recent studies show that even very basic variants of these games exhibit a large Price of Anarchy. Our main goal is to understand how structural properties of the network topology impact the inefficiency of these games. We derive topological bounds on the Price of Anarchy for different classes of clustering games. These topological bounds provide a more informative assessment of the inefficiency of these games than the corresponding (worst-case) Price of Anarchy bounds. As one of our main results, we derive (tight) bounds on the Price of Anarchy for clustering games on Erdős-Rényi random graphs, which, depending on the graph density, stand in stark contrast to the known Price of Anarchy bounds

Chip-Firing and Rotor-Routing on Directed Graphs

We give a rigorous and self-contained survey of the abelian sandpile model and rotor-router model on finite directed graphs, highlighting the connections between them. We present several intriguing open problems.Comment: 34 pages, 11 figures. v2 has additional references, v3 corrects figure 9, v4 corrects several typo