Articles tagged with Mathematical Modeling
A recent study by University of Utah professor Reid Ewing found that urban sprawl significantly reduces upward mobility, particularly for children born into low-income families. The study showed that compact areas tend to have higher rates of social mobility compared to sprawling areas.
Researchers propose a stochastic differential equation model to simulate musical performance synchronization. The model accounts for internal tempo preservation, noise distraction, and phase correction.
Researchers assembled various models into a single equation to identify the variables controlling stripe formation. The integrated model predicts three main perturbations that can affect how stripes orient, including changes in production and parameter gradients.
Researchers at UTA have developed a new, personalized respiratory-motion system that captures images of the lung when it is depressed, providing clearer and more precise images of tumors. This technology promises to lead to improved and more precise radiation therapy for lung cancer patients.
A new mathematical model helps researchers predict the spread of dengue fever in urban areas by analyzing neighborhood conditions and human travel patterns. The SIR-Network model reveals that central neighborhoods are crucial hubs for transmission, emphasizing the need for countermeasures before epidemics peak.
A mathematical model developed by Duke researchers suggests that active surveillance could be a viable alternative to surgery and radiation for select patients with ductal carcinoma in situ (DCIS). The study found that older women and those with serious health problems may benefit from delayed treatment, while younger women may not. Th...
Researchers created a one-dimensional model of thrombus formation, similar to Tetris, and later expanded to a two-dimensional model. This allows them to study the dynamics of thrombus growth under various conditions, including damage to the vascular wall.
Researchers from Uppsala University implemented a Turing test to assess how good their mathematical models were at reproducing collective motion of real fish schools. Despite matching statistical properties, experts and public players could differentiate between simulated and real schools, highlighting areas for improvement.
Researchers from Kumamoto University and The University of Tokyo have elucidated the control of cellular movement during blood vessel formation, showing that tip cells and trailing cells move at different speeds and directions. This study provides new insights into the complex cellular motion involved in blood vessel proliferation.
A mathematical model of chicken walk patterns may help farmers predict and prevent the spread of disease in their flocks. By analyzing patterns of movement, researchers can identify high-risk areas and develop strategies to minimize losses.
A UCLA-led team developed a mathematical model to predict crime hotspots, which was tested in Los Angeles and Kent, England. The model accurately predicted crime locations more often than human analysts, leading to a significant reduction in crime rates in Los Angeles, with potential annual savings of $9 million.
Researchers at Virginia Tech have refined a mathematical model that simulates genetic mutations and their impact on cell division. The model's accuracy has been improved through laboratory experiments and is expected to be useful in understanding how certain mutations thrive and reproduce, particularly in the context of cancer.
Russian scientists confirm Turing reaction-diffusion model's predictions in insect corneas, revealing four main morphological patterns and their universal presence among arthropods. The findings demonstrate a promising future for designing artificial antireflective nanosurfaces.
A new general consumer-resource model spans centuries of food web models, capturing underlying structure and providing a framework for new models. This concept has far-reaching implications for fields like resource management, conservation, and agriculture.
Brown University professor George Em Karniadakis has been awarded the Ralph E. Kleinman Prize by SIAM for his contributions to applied mathematics, specifically in computational fluid dynamics and stochastic modeling. The $5,000 prize recognizes his research bridging high-level mathematics with practical applications.
A mathematical simulation model predicts ICU bed occupancy and optimizes resource allocation by considering patient admissions and length of stay data. This approach enables healthcare managers to make informed decisions about bed capacity and resource allocation.
A Virginia Tech scientist has developed a mathematical model that demonstrates bacteria can control the behavior of robots, opening up new possibilities in ecology, biology, and robotics. The model uses engineered gene circuits in E. coli to create a bacteria-robot system that exhibits unique decision-making behavior.
A study by Arizona State University researchers found that mass killings and school shootings in the US are contagious, with a contagion period of approximately 13 days. The analysis revealed that roughly 20-30% of such tragedies are inspired by previous events, highlighting the complex dynamics underlying these incidents.
Researchers at Saarland University have found that liquid films on fibers can slip faster than flow along the fiber, leading to faster droplet formation. The team's study has important implications for designing novel fiber coatings for water harvesting applications.
A new mathematical model investigates the impact of individual movement on infectious disease spread, finding that spatial dispersal can create up to nine stable equilibria. The study highlights the importance of considering both backward bifurcation and spatial mobility in epidemiology.
Researchers have discovered that ants' movements follow Gaussian and Pareto distributions, dictating their turns and direction. These findings have implications for coordinating micro-robots and optimizing cleaning processes.
A mathematical model proposes that parties form coalitions based on interactions with voters and constituents, analyzing the likelihood of coalition formation. The model accounts for eight different possibilities that can change over time.
HongKun Zhang will use the $100,000 award to work with colleagues in France and St. Louis on a mathematical conjecture arising in statistical mechanics. Her research aims to improve conceptual understanding of physical systems and predict their behavior.
Researcher David Queller and colleagues tested an alternative mathematical model to inclusive fitness theory, finding it equivalent in predictions. The model's assertions were disputed, with Queller arguing that varying relatedness undermines the Harvard authors' claims about eusociality.
Researchers at University of Malta develop a mathematical model to explain the unusual behavior of auxetic materials, which grow wider when stretched. The model has potential applications in biomedicine, catalysis, and smart materials for healthcare and beyond.
A study by Ting Qian and Richard Aslin shows that our brains are wired to detect patterns in data, even if they don't lead to correct conclusions. This tendency is built into cognitive processes, providing information on possibilities that might not have been considered otherwise.
Researchers at Rice University developed a model to quantify the last unknown characteristic of film formation. Hot monomers can make islands grow or knock other molecules off, affecting film properties.
Researchers have developed a robotic fish prototype with advanced flexibility, inspired by Anguilliform fish. The device can swim forward, backward, and turn using artificial intelligence and torques applied to its joints.
Researchers at Virginia Tech developed mathematical models to predict cell transitions, gaining new understanding of transforming growth factor's role in EMT. The study confirms a sequential bistable switch mechanism for EMT, providing conclusive experimental proof for theoretical models.
A team of scientists developed a mathematical model that explains how the brain maintains stability during learning, resolving a decades-old paradox. The model suggests that fast and slow changes in neuronal networks work together to achieve sensitivity and stability.
Researchers from Brown University have introduced a new element of uncertainty into Burgers' equation to describe turbulence and shocks in fluid flows. This formulation aims to make mathematical models more realistic by accounting for external influences such as terrain, which was previously ignored in standard equations.
Researchers at the University of Warwick found that a mathematical model replicating Ebola outbreaks can no longer predict its scale. The current outbreak is 'out of all proportion' and defies previous patterns.
Researchers at Weizmann Institute of Science discover that genetic mutations affecting only half the population, like those causing male sterility, occur twice as often as those affecting males and females equally. This finding has implications for understanding causes of genetic diseases and developing targeted treatments.
A researcher from Moscow Institute of Physics and Technology has developed a reliable mathematical model of Titan's atmosphere, which matches the latest data surprisingly well. The model takes into account various chemical reactions between neutral molecules and ions in the upper layers of Titan's atmosphere.
A new study reveals that users tend to be swayed by recent activity of their friends on Facebook, rather than relying on best-seller lists. The researchers developed a mathematical model to capture the dynamics at play, finding that the 'copycat' tendency plays a strong role in online behavior.
Mathematicians develop models to describe cell migration and tumor invasion, as well as dispersal patterns in species. The studies reveal the existence and uniqueness of traveling waves in malignant tumor invasion and show how fitness-dependent dispersal conveys advantages towards ideal free distribution in populations.
A team of researchers has developed an algorithm that can determine whether a video is running forward or backward with 80% accuracy. The algorithm analyzes subtle visual cues and identifies regions of frames to make its judgments, potentially leading to more realistic graphics in gaming and film.
Researchers at the University of York and University of Leeds have developed a mathematical model that explains the molecular mechanisms behind virus assembly. The discovery opens up possibilities for the development of anti-viral therapies and could help treat diseases such as HIV, Hepatitis B and C, Norovirus, and the Common Cold.
A mathematical model simulates and optimizes donor kidney distribution to ease regional inequities and potentially save hundreds of lives. The model identifies areas for policy changes, including sharing within states and transplanting lower-quality kidneys.
Researchers studied computer simulations and found distinct forms of events, which were later confirmed through experiments. The study's findings show that the shape of an avalanche holds more information than traditional indices.
A mathematical model recreated the positions and movements of individual emperor penguins in a huddle, showing that an individual penguin only needs to move 2 cm for its neighbor to react. The model revealed how travelling waves propagate through the entire huddle, keeping it dense and protecting the birds from the cold.
The researchers aim to design efficient and cost-effective bimetallic catalysts for clean hydrogen fuel production. The team will develop new mathematical tools to quantify uncertainty and sensitivity in these complex systems.
Researchers from UT Arlington used mathematical modeling to simulate foreign-body reactions to implants, finding results consistent with lab tests. The model aims to improve biocompatibility and identify optimal treatments for severe inflammation and fibrotic capsule formation.
Researchers in China have developed a mathematical model to design flexible vehicle-arrest systems that increase stopping distance and dissipate kinetic energy without destruction. The new system could lead to the development of intelligent vehicle-arrest systems with improved control at roadblocks and checkpoints.
Researchers at Drexel University are creating a mathematical model that explains how blood vessels regulate the flow of blood. The team aims to gain a better understanding of nitric oxide production and its role in cardiovascular function, which could lead to new insights into vascular disease prevention.
Researchers use mathematical models to predict vegetation pattern formation in dry environments. The Klausmeier model determines the critical rainfall level needed for banded vegetation patterns to form. This study has significant implications for land management and environmental concerns.
A study by Concordia University found that students grasp math more easily when real-world examples are used. Teachers should continually make connections between abstract numbers and models, making the concept of fractions clearer.
Researchers developed a nonlinear model to study aircraft landing gear dynamics, identifying conditions for shimmy oscillations. The model provides insights into stability and design features, aiding in optimizing aircraft performance.
Researchers developed equations governing trajectory of spinning ball as it moves through air in presence of wind. The study reveals how cross-wind affects spin-bowler's delivery, changing pitch point on wicket.
Researchers propose a new motion test that examines various walking features in healthy and clinical populations, identifying critical changes in mobility. The study uses advanced mathematical computations to extract data from accelerometer signals, showing significant differences between healthy and clinical groups.
A study using ant experiments and mathematical modeling reveals flexible resource management and characteristic responses by group-living animals. The findings suggest a regime of chaos offers more options for groups than following environmental cycles.
Theoretical mathematical models can help analyze viral dynamics in the early phase following exposure to HIV, providing insights into therapeutic and prevention strategies. The models suggest that reverse transcriptase inhibitors are more effective than protease inhibitors for PrEP, while fast initiation of treatment is crucial for PEP.
Mathematical analysis reveals that viral blips occur naturally due to infection rate saturation, not external triggers. Models propose a 5-dimensional immunological model that can generate blips, applicable to various viral diseases and autoimmune disorders.
Researchers have developed a mathematical model that uses game theory to disrupt the flow of information in terrorist networks. The model, inspired by a two-player outdoor game called Seepage, can identify the most effective points for disrupting messages in hierarchical social networks.
New research shows that mathematical prediction models, not doctors, are better at predicting the outcomes and responses of lung cancer patients to treatment. The models use information from previous patients to create a statistical formula that can be used to predict patient survival and response to treatment.
Scientists have developed a new numerical method for simulating the evolution of the solar system, which is ten times faster and more accurate than previous methods. The collaboration between mathematicians, computer scientists, physicists, and astronomers has led to a significant improvement in the simulation's reliability over time.
A new mathematical model, based on biased assimilation, shows that polarization stems from people's tendency to accept evidence supporting their opinions and discredit opposing views. The model, developed by Stanford researchers, aims to create Internet-based social systems that counteract polarization.
Researchers at Technical University of Munich created a numerical model to study complex fluids, such as ketchup, which exhibits unusual behavior when shaken. The model explains the effects of long-chained polymer molecules on flow resistance, providing new insights into the microscopic mechanisms driving these phenomena.
A study by CSIC researchers reveals two main types of behaviors in collaborative Wikipedia editing: clashes with rapid agreement, and interactions between three groups with varying levels of consensus. Despite initial disagreement, opposing opinions tend to converge over time through the article's content.
Researchers are using engineering control theory to create complex brain models that can simulate neurological diseases. By simplifying these models and fusing them with real system measurements, they aim to develop more accurate treatments for conditions such as epilepsy and Parkinson's disease.