Conjugate-Gradient Preconditioning Methods for Shift-Variant PET Image Reconstruction

Gradient-based iterative methods often converge slowly for tomographic image reconstruction and image restoration problems, but can be accelerated by suitable preconditioners. Diagonal preconditioners offer some improvement in convergence rate, but do not incorporate the structure of the Hessian matrices in imaging problems. Circulant preconditioners can provide remarkable acceleration for inverse problems that are approximately shift-invariant, i.e., for those with approximately block-Toeplitz or block-circulant Hessians. However, in applications with nonuniform noise variance, such as arises from Poisson statistics in emission tomography and in quantum-limited optical imaging, the Hessian of the weighted least-squares objective function is quite shift-variant, and circulant preconditioners perform poorly. Additional shift-variance is caused by edge-preserving regularization methods based on nonquadratic penalty functions. This paper describes new preconditioners that approximate more accurately the Hessian matrices of shift-variant imaging problems. Compared to diagonal or circulant preconditioning, the new preconditioners lead to significantly faster convergence rates for the unconstrained conjugate-gradient (CG) iteration. We also propose a new efficient method for the line-search step required by CG methods. Applications to positron emission tomography (PET) illustrate the method.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/85979/1/Fessler85.pd

Combined Diagonal/Fourier Preconditioning Methods for Image Reconstruction in Emission Tomography

Iterative methods for tomographic image reconstruction often converge slowly. Preconditioning methods can often accelerate gradient-based iterations. Previous preconditioning methods for PET reconstruction have used either diagonal or Fourier-based preconditioners. Fourier-based preconditioners are well suited to problems with near-circulant Hessian matrices. However, due to the nonuniform Poisson noise variance in PET, the circulant approximation to the Hessian is suboptimal. This paper shows that a particular combined diagonal/Fourier preconditioner yields a more accurate approximation to the Hessian and gives significantly faster convergence rates than does either preconditioner used alone.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/85972/1/Fessler135.pd

Behavioral responses of the endemic shrimp Halocardina rubra (Malacostraca:Atyidae) to an introduced fish, Gambusia affinis (Actinopterygii: Poeciliidae) and implications for the trophic structure of Hawaiian anchialine ponds

In the Hawaiian Islands, intentionally introduced exotic fishes have been linked to changes in native biodiversity and community composition. In 1905, the mosquito fish Gambusia affinis was introduced to control mosquitoes. Subsequently, G. affinis spread throughout the Islands and into coastal anchialine ponds. Previous studies suggest that presence of invasive fishes in anchialine ponds may eliminate native species, including the endemic shrimp Halocaridina rubra. We examined effects of G. affinis on H. rubra populations in anchialine ponds on the Kona-Kohala coast of the island of Hawai/i. In the presence of G. affinis, H. rubra exhibited a diel activity pattern that was not seen in fishless ponds. Shrimp in ponds with fish were active only at night. This pattern was evident in anchialine ponds and in laboratory experiments. In laboratory predation experiments, G. affinis preferentially consumed smaller H. rubra, and in the field the H. rubra collected from invaded sites were larger than those from fishless ponds. Analysis of trophic position using stable isotope analyses showed that feeding of H. rubra was not significantly distinct from that of snails, assumed to feed at trophic level 2.0 on epilithic algae, but G. affinis was slightly omnivorous, feeding at tropic level 2.2. The mosquito fish diet was apparently composed primarily of algae when the defensive behavior of H. rubra made them substantially unavailable as prey. The effect of successful establishment of G. affinis on shrimp behavior has the potential to alter abundance of benthic algae and processing and recycling of nutrients in anchialine pond ecosystems

Fast electron transport patterns in intense laser-irradiated solids diagnosed by modeling measured multi-MeV proton beams

The measured spatial-intensity distribution of the beam of protons accelerated from the rear side of a solid target irradiated by an intense (>10 Wcm) laser pulse provides a diagnostic of the two-dimensional fast electron density profile at the target rear surface and thus the fast electron beam transport pattern within the target. An analytical model is developed, accounting for rear-surface fast electron sheath dynamics, ionization and projection of the resulting beam of protons. The sensitivity of the spatial-intensity distribution of the proton beam to the fast electron density distribution is investigated. An annular fast electron beam transport pattern with filamentary structure is inferred for the case of a thick diamond target irradiated at a peak laser intensity of 6 × 10 Wcm

Interdisciplinary Approach to Examine the Effects of Lifestyle Modifications on Nonalcoholic Fatty Liver Disease

Comparative Medicine - OneHealth and Comparative Medicine Poster SessionA critical complication of the obesity epidemic experienced in Westernized societies is nonalcoholic fatty liver disease (NAFLD). NAFLD, fatty liver not due to alcohol consumption, is the most common chronic liver disease and associated with increasing morbidity, mortality, and demand for liver transplantation. NAFLD is a progressive disease with a histological spectrum ranging from hepatic steatosis to nonalcoholic steatohepatitis, advanced fibrosis, and cirrhosis. Approximately one third of all US adults (90 million) have fatty livers, with prevalence rates as high as 75-100% in the obese and morbidly obese. With growing health problems associated with NAFLD, major questions facing research scientists and health care providers are what are the mechanisms responsible for NAFLD development and what is the best treatment strategy. Since drug interventions appear to be only marginally successful, the cornerstone therapy for NAFLD remains lifestyle modifications of exercise and weight loss. However, while recent cross-sectional observations suggest that being more physically active is inversely associated with NAFLD, studies which attempt to identify molecular mechanisms underlying the effects of lifestyle modifications on NAFLD are lacking. To address these clinical questions, we have taken an interdisciplinary approach with collaborations from experts in multiple departments and facilities at the University of Missouri, including Nutrition and Exercise Physiology, Hepatology, Veterinary Biomedical Sciences, and VA investigators. In addition, we have utilized a unique animal model, the hyperphagic Otsuka Long-Evans Tokushima Fatty (OLETF) rat that develops obesity, insulin resistance and overt type 2 diabetes, a model which we liken to overeating, sedentary, obese humans. Through a series of experiments, we found that the natural progression pattern of fatty liver disease in the sedentary OLETF rat closely resembles the human condition (progression from simple hepatic steatosis to hepatocyte ballooning, fibrosis, and inflammation). We also have compelling evidence that hepatic mitochondrial dysfunction is present at an early age and mitochondrial content, function, and mitochondrial health are disrupted with disease progression, suggesting a potential primary event in NAFLD in this animal model. However and perhaps even more important, when OLETF rats are given access to voluntary running wheels and allowed to exercise daily, the initiation and progression of NAFLD is completely prevented. These benefits occur through modification in both peripheral and hepatic factors, including maintenance of glycemic control and enhancement of hepatic mitochondrial content and function. We are currently in the process of translating these very exciting findings in a randomized, human clinical trial examining the impact of different lifestyle modifications in the treatment of NAFLD. Findings from our research group have important public health application, particularly for the 60-80% of Americans who overeat, who are overweight, and who are physically inactive

Exercise and Omega-3 Polyunsaturated Fatty Acid Supplementation for the Treatment of Hepatic Steatosis in Hyperphagic OLETF Rats

Background and Aims. This study examined if exercise and omega-3 fatty acid (n3PUFA) supplementation is an effective treatment for hepatic steatosis in obese, hyperphagic Otsuka Long-Evans Tokushima Fatty (OLETF) rats. Methods. Male OLETF rats were divided into 4 groups (n=8/group): (1) remained sedentary (SED), (2) access to running wheels; (EX) (3) a diet supplemented with 3% of energy from fish oil (n3PUFA-SED); and (4) n3PUFA supplementation plus EX (n3PUFA+EX). The 8 week treatments began at 13 weeks, when hepatic steatosis is present in OLETF-SED rats. Results. EX alone lowered hepatic triglyceride (TAG) while, in contrast, n3PUFAs failed to lower hepatic TAG and blunted the ability of EX to decrease hepatic TAG levels in n3PUFAs+EX. Insulin sensitivity was improved in EX animals, to a lesser extent in n3PUFA+EX rats, and did not differ between n3PUFA-SED and SED rats. Only the EX group displayed higher complete hepatic fatty acid oxidation (FAO) to CO2 and carnitine palmitoyl transferase-1 activity. EX also lowered hepatic fatty acid synthase protein while both EX and n3PUFA+EX decreased stearoyl CoA desaturase-1 protein. Conclusions. Exercise lowers hepatic steatosis through increased complete hepatic FAO, insulin sensitivity, and reduced expression of de novo fatty acid synthesis proteins while n3PUFAs had no effect

Introduction: looking beyond the walls

In its consideration of the remarkable extent and variety of non-university researchers, this book takes a broader view of ‘knowledge’ and ‘research’ than in the many hot debates about today’s knowledge society, ‘learning age’, or organisation of research. It goes beyond the commonly held image of ‘knowledge’ as something produced and owned by the full-time experts to take a look at those engaged in active knowledge building outside the university walls