Approximate Boltzmann Distributions for Nonreversible Markov Chains

While powerful theories for the analysis of reversible Markov chains have enabled significant mathematical advances, nonequilibrium phenomena dominate the sciences and nonequilibrium chains do not enjoy the same formal foundations. For instance, the stationary distributions of reversible chains are fundamentally simpler than those of nonreversible chains because they are Boltzmann distributions -- they can be expressed in terms of a purely local "free energy" landscape, in analogy with equilibrium statistical physics. In general, it is impossible to similarly represent the steady states of nonequilibrium physical systems in a purely local way. However, a series of recent works on rattling theory (e.g., Chvykov et al., Science (2021)) provides strong evidence that a broad class of such systems nevertheless exhibit "approximate Boltzmann distributions," which allow some aspects of the global distributions to be inferred, at least approximately, from local information. We formalize the main claims of this physical theory to identify its hidden assumptions and demonstrate its basis in the theory of continuous-time Markov chains. To do so, we decompose an arbitrary stationary distribution $\pi$ into its "local" part -- the exit rates $q$ out of each state -- and its "global" part -- the stationary distribution $\psi$ of the embedded "jump" chain. We explain a variety of experimental results by showing that, for a random state, $\log \pi$ and $-\log q$ are correlated to the extent that $\log \psi$ and $-\log q$ are correlated or the ratio of their variances is small. In particular, the predictions of rattling theory apply when the global part of $\pi$ varies over fewer scales than its local part. We use this fact to demonstrate classes of nonreversible chains with stationary distributions that are exactly of Boltzmann type.Comment: 14 pages, 1 figur

Segmentation-by-Detection: A Cascade Network for Volumetric Medical Image Segmentation

We propose an attention mechanism for 3D medical image segmentation. The method, named segmentation-by-detection, is a cascade of a detection module followed by a segmentation module. The detection module enables a region of interest to come to attention and produces a set of object region candidates which are further used as an attention model. Rather than dealing with the entire volume, the segmentation module distills the information from the potential region. This scheme is an efficient solution for volumetric data as it reduces the influence of the surrounding noise which is especially important for medical data with low signal-to-noise ratio. Experimental results on 3D ultrasound data of the femoral head shows superiority of the proposed method when compared with a standard fully convolutional network like the U-Net

End-to-end detection-segmentation network with ROI convolution

We propose an end-to-end neural network that improves the segmentation accuracy of fully convolutional networks by incorporating a localization unit. This network performs object localization first, which is then used as a cue to guide the training of the segmentation network. We test the proposed method on a segmentation task of small objects on a clinical dataset of ultrasound images. We show that by jointly learning for detection and segmentation, the proposed network is able to improve the segmentation accuracy compared to only learning for segmentation. Code is publicly available at https://github.com/vincentzhang/roi-fcn.Comment: ISBI 201

Connecting Youth Through Multiple Pathways

Presents findings from a field scan of efforts to help vulnerable youth graduate from high school, what is working, what should be done, and what opportunities exist for Casey's involvement. Explores risk factors and alternative programs. Lists resources

Youth at High Risk of Disconnection

Updates the 2003 report "Connected by 25: Improving the Life Chances of the Country's Most Vulnerable 14-24 Year Olds" with demographic changes in disconnected and at-risk youth -- teens who are dropouts, mothers, in foster care, and/or incarcerated

The clinical pharmacology of intranasal l-methamphetamine.

BackgroundWe studied the pharmacology of l-methamphetamine, the less abused isomer, when used as a nasal decongestant.Methods12 subjects self-administered l-methamphetamine from a nonprescription inhaler at the recommended dose (16 inhalations over 6 hours) then at 2 and 4 (32 and 64 inhalations) times this dose. In a separate session intravenous phenylephrine (200 microg) and l-methamphetamine (5 mg) were given to define alpha agonist pharmacology and bioavailability. Physiological, cardiovascular, pharmacokinetic, and subjective effects were measured.ResultsPlasma l-methamphetamine levels were often below the level of quantification so bioavailability was estimated by comparing urinary excretion of the intravenous and inhaled doses, yielding delivered dose estimates of 74.0 +/- 56.1, 124.7 +/- 106.6, and 268.1 +/- 220.5 microg for ascending exposures (mean 4.2 +/- 3.3 microg/inhalation). Physiological changes were minimal and not dose-dependent. Small decreases in stroke volume and cardiac output suggesting mild cardiodepression were seen.ConclusionInhaled l-methamphetamine delivered from a non-prescription product produced minimal effects but may be a cardiodepressant

On game chromatic number analogues of Mycielsians and Brooks' Theorem

The vertex coloring game is a two-player game on a graph with given color set in which the first player attempts to properly color the graph and the second attempts to prevent a proper coloring from being achieved. The smallest number of colors for which the first player can win no matter how the second player plays is called the game chromatic number of the graph. In this paper we initiate the study of game chromatic number for Mycielskians and a game chromatic number analogue of Brooks' Theorem (which characterizes graphs for which chromatic number is at most the maximum degree of the graph). In particular, we determine the game chromatic number of Mycielskians of complete graphs, complete bipartite graphs, and cycles. In the direction of Brooks' Theorem, we show that if there are few vertices of maximum degree or if all vertices of maximum degree are at least three edges apart, then the game chromatic number is at most the maximum degree of the grap

Punicalagin Induces Serum Low-Density Lipoprotein Influx to Macrophages

High levels of circulating low-density lipoprotein (LDL) are a primary initiating event in the development of atherosclerosis. Recently, the antiatherogenic effect of polyphenols has been shown to be exerted via a mechanism unrelated to their antioxidant capacity and to stem from their interaction with specific intracellular or plasma proteins. In this study, we investigated the interaction of the main polyphenol in pomegranate, punicalagin, with apolipoprotein B-100 (ApoB100) that surrounds LDL. Punicalagin bound to ApoB100 at low concentrations (0.25–4 μM). Upon binding, it induced LDL influx to macrophages in a concentration-dependent manner, up to 2.5-fold. In contrast, another polyphenol which binds to ApoB100, glabridin, did not affect LDL influx. We further showed that LDL influx occurs specifically through the LDL receptor, with LDL then accumulating in the cell cytoplasm. Taken together with the findings of Aviram et al., 2000, that pomegranate juice and punicalagin induce plasma LDL removal and inhibit macrophage cholesterol synthesis and accumulation, our results suggest that, upon binding, punicalagin stimulates LDL influx to macrophages, thus reducing circulating cholesterol levels