Articles tagged with Mathematical Modeling
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.
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.
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.
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.
Researchers have discovered that daclatasvir, a direct acting antiviral agent, targets the HCV protein NS5A and also blocks viral secretion from infected cells. The study provides insight into the drug's modes of action and suggests a more accurate estimate of the HCV half-life.
Researchers at Stowers Institute for Medical Research have made crucial discoveries about the development of cell polarity. They found that diffusion traps, created by sticky regions on the membrane, play a crucial role in maintaining cell polarity.
Researchers create mathematical model of plant petals to understand iridescence and its role in attracting pollinators. The study, published in Journal of the Royal Society Interface, provides a first analysis of how petal surface patterns might be produced.
A new study published in PLOS Computational Biology uses a computer model to accurately mimic how the brain processes musical timbre, allowing for better instrument recognition. The researchers found that wind and percussive instruments tend to be most different from each other, with strings and winds being closer together.
A new study considers how to manage epidemics in information blackouts, particularly in the US where privacy laws restrict data accessibility. The researchers used land cover maps to approximate farm locations and developed a mathematical model that can provide accurate predictions about disease spread.
Pitt researchers find neurons wire and fire together in clusters to dominate brain activity, with weak stimuli triggering imbalance. The model shows how clustered connections influence stochastic brain dynamics, shedding light on the brain's default spontaneous state.
A mathematical model suggests PrEP can be a cost-effective addition to existing HIV prevention strategies for MSM populations in Lima, Peru. However, significant funding would be required to generate substantial reductions in HIV incidence.
Scientists characterized a unique spring mechanism in cucumber plant tendrils, where they coil further upon pulling the ends, unlike traditional coils. The discovery led to the creation of a new type of twistless spring with high bending stiffness and twisting stiffness.
Sergey Nadtochiy of Oxford University has made significant contributions to mathematical finance, including original analysis on volatility modeling and derivative pricing theory. He received the 2012 SIAG/FME Junior Scientist Prize at the SIAM Annual Meeting in Minneapolis, Minnesota.
The Society for Industrial and Applied Mathematics (SIAM) recognizes excellence in mathematical modeling among undergraduate teams globally. The annual Mathematical Contest in Modeling (MCM) inspires students to develop solutions to open-ended problems, with winners receiving cash awards and SIAM membership.
A mathematical model reveals that multiple mechanisms of microRNA regulation are manifestations of a single biochemical reaction, proposing a simple yet efficient way to control protein production. The findings aim to resolve the decade-long debate and pave the way for future experiments to verify the hypothesis.
Researchers propose a mechanism of individual interaction to understand collective macroscopic behavior, finding power-law tails in some models. The diversity of saving propensity among individuals plays a role in shaping the distribution of wealth.
The workshop focuses on increasing mathematical modeling across undergraduate curricula, developing STEM courses based on modeling and computation, and assessing college STEM readiness. It also proposes ideas for multidisciplinary STEM education and introduces a high school applied mathematics program to integrate STEM subjects.
A new study uses Lotka–Volterra equations to map street gangs' territories, finding that most crimes occur near the borders between rival gangs. The research provides insights into how law enforcement can allocate resources more effectively.
Researchers developed a new model of fluid dynamics and heat flow in human tears, revealing the cooling effect on tear film after each blink. The model accurately predicts the rate of cooling for both healthy individuals and those with dry eye conditions.
A new mathematical model created by Stanford psychologists can predict pragmatic reasoning and may lead to more human-like computer systems. The model helps computers better understand inference, context, and social rules, potentially improving customer service interactions.
A Case Western Reserve University class has been awarded a Science magazine prize for its innovative approach to teaching biology and computer science. The 'Dynamics of Biological Systems' class uses an inquiry-based learning model, where students work on real-world problems using online interactive tools and mathematical models.
The US Department of Health and Human Services has contracted with Archimedes Inc. to provide the advanced mathematical modeling tool, ArcheS, to its agencies for large-scale analyses of healthcare spending, treatment, and effectiveness. This will enable policymakers to make informed decisions on health care interventions.
Researchers build 'spaghetti models' of cancer progression using mathematical models, predicting tumor growth, response to treatments, and risk of recurrence. This approach combines clinical imaging with biological experiments and mathematical modeling to develop patient-specific medicine.
Researchers developed a mathematical model that shows the low percentage of lefties is due to balance between cooperation and competition. The model accurately predicts the number of elite left-handed athletes in various sports, such as baseball, boxing, and hockey.