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Categories: Chemistry: Thermodynamics, Mathematics: General
Published Predicting risk of aneurysm rupture


Predicting the rupture of aneurysms is crucial for medical prevention and treatment. As aspect ratio and size ratio increase and an aneurysm expands, the stress applied against the aneurysm walls and the time blood spends within it increase. This leads the probability of rupture to rise. Researchers develop a patient-specific mathematical model to examine what aneurysm parameters influence rupture risk prior to surgery. Computed tomography scans are fed into the model, which reconstructs the geometry and blood flow of the aneurysm. It then uses equations to describe the fluid flow, generating information about the blood vessel walls and blood flow patterns.
Published Study shows how math, science identity in students affects college, career outcomes


Two researchers have published a study that asked students if they see themselves as a math or science person, then followed up with them several times in following years. Results showed those who said yes in ninth grade were much likelier to major in STEM subjects and work in related fields after college. The results show the importance of helping students have positive math and science experiences early and could be a way to help address equity gaps in STEM.
Published As few as 1 in 5 COVID cases may have been counted worldwide, mathematical models suggest


Mathematical models indicate that as few as one in five cases of COVID-19 which occurred during the first 29 months of the pandemic are accounted for in the half billion cases officially reported.
Published Mathematics enable scientists to understand organization within a cell's nucleus


Researchers have developed a new mathematical technique to begin to understand how a cell's nucleus is organized. They hope this understanding will expose vulnerabilities that can be targeted to reprogram a cell to stop cancer or other diseases.
Published What is the best way to group students? Math model


Researchers have developed a new approach that uses math to determine the best ways to group individuals to maximize learning. Their work has broad implications in education, as well as in economics, music, medicine, and sports.
Published The way you talk to your child about math matters


'You're so smart!' -- This encouraging response may actually do more harm than good to children's math performance, according to a new study. The study found that encouraging children with responses related to their personal traits or innate abilities may dampen their math motivation and achievement over time.
Published Pioneering mathematical formula paves way for exciting advances in health, energy, and food industry


A groundbreaking mathematical equation has been discovered, which could transform medical procedures, natural gas extraction, and plastic packaging production in the future.
Published Push, pull or swirl: The many movements of cilia


Researchers know about many of cilia's roles, but not exactly how they beat in the first place. A new mathematical model aims to uncover the secret to cilia's beating motions.
Published Researchers use computer modeling to understand how self-renewal processes impact skin cell evolution


Scientists have used mathematical and computer modeling to demonstrate the impact of skin homeostasis on driver and passenger mutations.
Published Mixing things up: Optimizing fluid mixing with machine learning


Fluid mixing is an important part of several industrial processes and chemical reactions. However, the process often relies on trial-and-error-based experiments instead of mathematical optimization. While turbulent mixing is effective, it cannot always be sustained and can damage the materials involved. To address this issue, researchers have now proposed an optimization approach to fluid mixing for laminar flows using machine learning, which can be extended to turbulent mixing as well.
Published Safe havens for cooperation


Whether networks with a high level of cooperation emerge in a community depends on how quickly individuals leave -- for example, because they are exploited by others. Researchers investigated this problem by modeling a well-known cooperation game. They consider a spatial network, where players can relocate between different patches if they judge the local conditions to be unfavorable.
Published Ultracold atoms dressed by light simulate gauge theories


Researchers have used the coldest systems in the universe to realize in the laboratory gauge theories, key models of modern physics that describe the fundamental forces of Nature and the behavior of complex quantum materials.
Published Researchers discover major roadblock in alleviating network congestion


Researchers discovered that congestion control algorithms designed to ensure multiple users sending data over a network do so fairly are actually unable to avoid situations where some users are hogging all the bandwidth.
Published New model predicts how temperature affects life from quantum to classical scales


A new theory explains how every process depends on temperature. This theory could help researchers make accurate predictions in a range of areas, including biological responses to climate change, the spread of infectious diseases, and food production.
Published Go with the flow: New findings about moving electricity could improve fusion devices


Researchers have found that updating a mathematical model to include a physical property known as resistivity could lead to the improved design of doughnut-shaped fusion facilities known as tokamaks.
Published Advocating a new paradigm for electron simulations


Researchers improve a widely used simulation method for high-performance computing clusters.
Published A new model sheds light on how we learn motor skills


Researchers have developed a mathematical model of motor learning that reflects the motor learning process in the human brain. Their findings suggest that motor exploration -- that is, increased variability in movements -- is important when learning a new task. These results may lead to improved motor rehabilitation in patients after injury or disease.
Published Math model predicts efficacy of drug treatments for heart attacks


Researchers used mice to develop a mathematical model of a myocardial infarction. The new model predicts several useful new drug combinations that may one day help treat heart attacks, according to researchers.
Published New, highly tunable composite materials--with a twist


Mathematicians have found that they can design a range of composite materials from moiré patterns created by rotating and stretching one lattice relative to another. Their electrical and other physical properties can change --s ometimes quite abruptly, depending on whether the resulting moiré patterns are regularly repeating or non-repeating.
Published Study explores the promises and pitfalls of evolutionary genomics


A new study examines mathematical models designed to draw inferences about how evolution operates at the level of populations of organisms. The study concludes that such models must be constructed with the greatest care, avoiding unwarranted initial assumptions, weighing the quality of existing knowledge and remaining open to alternate explanations.