Mathematics might be able to reduce the need for invasive biopsies in patients suffering kidney damage related to the autoimmune disease lupus. In a new study, researchers developed a math model that can predict the progression from nephritis, or kidney inflammation, to interstitial fibrosis, scarring in the kidney that current treatments cannot reverse. A kidney biopsy is the only existing way to reach a definitive diagnosis.
Proofs are the key method of mathematics. Until now, it has mainly been humans who have verified whether proofs are correct. This could change, says Russian mathematician Vladimir Voevodsky, who points to evidence that, in the near future, computers rather than humans could reliably verify whether a mathematical proof is correct.
Researchers at the Univ. of Rochester have cleared up an apparent violation of quantum mechanics’ wave-particle duality that was announced in 2012 by a team of scientists in Germany. They replicated the experiment, which simultaneously determined a photon’s path and observed high contrast interference fringes created by the interaction of waves. But they also found an undiscovered source of bias sampling that explained the strange results.
Polymers come with a range of properties dictated by their chemical composition and geometrical arrangement. Yasuyuki Tezuka and his team at Tokyo Institute of Technology have now applied an approach to synthesize a new type of multicyclic polymer geometry. While mathematicians are interested because these structures have not been realized before, the geometry studies also provide insights for chemists.
It makes sense that the credit for science papers with multiple authors should go to the authors who perform the bulk of the research, yet that’s not always the case. Now a new algorithm developed at Northeastern’s Center for Complex Network Research helps sheds light on how to properly allocate credit.
A computer algorithm being developed by Brown Univ. researchers lets users instantly change the weather, time of day, season or other features in outdoor photos with simple text commands. Machine learning and a clever database make it possible. A paper describing the work will be presented at SIGGRAPH 2014.
Inspired by the Red Queen in Lewis Carroll’s "Through the Looking Glass", collaborators from Illinois and Singapore improved a 35-year-old ecology model to better understand how species evolve. The new model, called a mean field model for competition, incorporates the “Red Queen Effect,” which suggests that organisms must constantly increase fitness in order to compete with other ever-evolving organisms in an ever-changing environment.
Until now, computer simulations of habitable climates on Earth-like planets have focused on their atmospheres. Mathematicians and earth sciences experts in the U.K. have recently taken the next step, creating a computer-simulated pattern of ocean circulation on a hypothetical ocean-covered Earth-like planet. They hope to learn how different planetary rotation rates would impact heat transport with the presence of oceans taken into account.
The addition of elements to the surface of graphene can modify the material’s physical and chemical properties, potentially extending the range of possible applications. Recently performed theoretical calculations at RIKEN in Japan show that the addition of oxygen to graphene on copper substrates results in enhanced functionalization. The resulting structure, known as an enolate, make support applications that require catalytic response.
A decade of research by Rice Univ. scientists has produced a 2-D model to prove how gas hydrate, the “ice that burns,” is formed under the ocean floor. Gas hydrate has potential as a source of abundant energy, if it can be extracted and turned into usable form. It also has potential to do great harm.
Fully automated "deep learning" by computers greatly improves the odds of discovering particles such as the Higgs boson, according to a recent study. In fact, this approach beats even veteran physicists' abilities, which now consists of developing mathematical formulas by hand to apply to data. New machine learning methods are rendering that approach unnecessary.
A relic from long before the age of supercomputers, the 169-year-old math strategy called the Jacobi iterative method is widely dismissed today as too slow to be useful. But thanks to a Johns Hopkins Univ. engineering student and his professor, it may soon get a new lease on life. With just a few modern-day tweaks, the researchers say they’ve made the rarely used Jacobi method work up to 200 times faster.
Wrinkles, creases and folds are everywhere in nature, from the surface of human skin to the buckled crust of the Earth. They can also be useful structures for engineers. Wrinkles in thin films, for example, can help make durable circuit boards for flexible electronics. A newly developed mathematical model could help engineers control the formation of wrinkle, crease and fold structures in a wide variety of materials.
An international research team led by scientists in Barcelona has developed a material which guides and transports a magnetic field from one location to the other, similar to how an optical fiber transports light or a hose transports water. The magnetic hose consists of a ferromagnetic cylinder covered by a superconductor material, a surprisingly simple design made possible by complicated theoretical calculations and experimentation.
The term “crowdsourcing” was coined in 2006 and since then has seen its definition broadened to a wide range of activities involving a network of people. A challenging problem that might benefit from crowdsourcing, according to recently published research, is the phase problem in x-ray crystallography. Retrieving the phase information has plagued many scientists for decades when trying to determine the crystal structure of a sample.
A physicist in Russia, Alexander Rozhkov, has presented theoretical calculations which indicate the possible existence of fermionic matter in a previously unknown state. It is defined as a 1-D liquid, which cannot be described within the framework of existing models. According to Rozhkov, the 1-D liquid state of matter is not necessarily one that can be observed with the naked eye on a macroscopic scale.
Particles of soot floating through the air and comets hurtling through space have at least one thing in common: 0.36. That, reports a research group at NIST, is the measure of how dense they will get under normal conditions, and it’s a value that seems to be constant for similar aggregates across an impressively wide size range from nanometers to tens of meters. NIST hopes the results will aid climate researchers.
Since the early 1970s, lithium has been the most popular element for batteries because of it’s low weight and good electrochemical potential. But it is also highly flammable. Researchers have recently married two traditional theories in materials science that can explain how the charge dictates the structure of the material. And using this they may be able to move to other materials, such as block copolymers, for use in batteries.
In recent research in Germany, the desorption of oxygen molecules from a silver surface was successfully visualized for the first time using low-energy electron microscopy. The effects account for the shortcomings of conventional models of desorption, which often deliver rates that do not agree with experimentally determined values.
According to new research from Sweden, two aircraft engine concepts, a geared turbofan and an open rotor, can enable a significant reduction to aircraft fuel consumption. With an open rotor, the potential reduction is 15%. An open rotor engine generates most of the thrust from two counter-rotating propellers instead of a ducted fan. This enables a larger engine diameter and a higher propulsive efficiency.
They are 3-D and yet single-sided: Moebius strips. These twisted objects have only one side and one edge. Using this iconic form, an international team of scientists has succeeded in designing the world’s first “triply” twisted molecule. Because of their peculiar quantum mechanical properties these structures are interesting for applications in molecular electronics and optoelectronics.
Simulations in statistical physics are typically restricted to systems under 100,000 particles, many times smaller than the actual material quantities used in typical experiments. Finite-size corrections can adjust the results to the macroscopic scale. A team of researchers in Germany has now succeeded in better understanding how this technique works when it is used to assess interfacial tension, thus enabling more accurate predictions.
Researchers have created a prototype system that uses a mathematical model to predict—and a portable inkjet technology to produce—precise medication dosages tailored for specific patients, an advance in personalized medicine that could improve drug effectiveness and reduce adverse reactions.
Scientists studying graphene’s properties are using a new mathematical framework to make extremely accurate characterizations of the 2-D material’s shape. The framework, called discrete differential geometry, is the geometry of 2-D interlaced structures called meshes. When the nodes of the structure correspond with atomic positions, this geometry provides direct information about chemistry and electrical properties.
In fluid dynamics, Görtler vortices are secondary flows that appear in a boundary layer flow along a concave wall. If the boundary layer thickness is comparable to the radius of curvature, the action creates a pressure variation that leads to centrifugal instability and formation of Görtler vortices. Recent research in China has taken a closer look at the causes of Görtler instability and how vortices develop and change as they multiply.
Combining theory and numerical simulations, researchers have resolved an enduring question in the theory of glasses by showing that their energy landscapes are far rougher than previously believed. The new model, which shows that molecules in glassy materials settle into a fractal hierarchy of states, unites mathematics, theory and several formerly disparate properties of glasses.
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