Articles tagged with Mathematical Modeling
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.
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 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.
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.
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.
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.
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.
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.
An international team of scientists developed a game to train epidemiologists on mathematical models for studying outbreaks. The game, Muizenberg Mathematical Fever, simulates real-life epidemics and demonstrates the importance of collaboration between bio-mathematicians and classical epidemiologists.
Researchers created a new game to teach epidemiology concepts and promote collaboration between scientists. The game simulates an epidemic, demonstrating the importance of data collection and collaboration in tracking diseases.
A new mathematical model predicts optimal treatment length for prostate cancer patients to delay resistance, allowing clinicians to tailor therapy effectively. Intermittent androgen suppression therapy reduces side effects and improves patient outcomes.
Researchers developed a mathematical model to test whether neurons communicate individually or as groups. The method filters signals to determine if neurons collaborate flexibly within milliseconds. This breakthrough has the potential to reveal dynamic cell assemblies involved in planning and controlling behavior.
Scientists have found that predator/prey relationships are crucial for maintaining stability and diversity in complex ecosystems, contradicting earlier modeling results. The research provides a new framework for understanding ecosystem responses to environmental change.
A mathematical model developed by researchers at the University of Vigo has confirmed that hórreos with slotted floors are more efficient in regulating temperature and ventilation. This traditional Galician dry-store structure was found to better preserve corn stored inside due to its ability to ventilate and regulate temperature.
A mathematical model proposes that NBA players should take higher-quality shots earlier in possessions to maximize scoring opportunities. However, current player behavior is often overly cautious, leading to missed chances.
Researchers aim to create a predictive model for liver metabolism using cellular control of fat metabolism as an optimal feedback-control system. The goal is to analyze and optimally compute possible interventions for treating fatty livers, leading to personalized medicine approaches.
Researchers developed a mathematical model to determine safe distances from residential areas for livestock farms, taking into account factors like odor emissions and wind conditions. The model aims to simplify current guidelines and regulations by providing a single, conservative estimate of separation distances.
Researchers found single-sex vaccination to be the most effective strategy for reducing human papillomavirus (HPV) infection rates. By vaccinating the sex with the highest pre-vaccine prevalence of HPV infection – typically females – immunity can be bolstered and herd immunity improved.
Researchers Richard Saltus and Richard Blakely presented examples of unique interpretations from 'non-unique' models, combining observations to narrow down theoretical solutions. This approach successfully solves important geological issues, such as detailed images of fault zones.
Researchers at Uppsala University have discovered that small lake-dwelling fish follow simple yet effective rules when schooling together. By tracking individual fish and analyzing their interactions, the team identified key movements such as slowing down near others and turning to move towards neighbors.
Researchers at Ruhr-University Bochum have developed a new method to measure the distance between stationary and non-stationary processes, enabling more accurate statistical tests. This approach makes it possible to construct better models for predicting extreme events in time series data.
Researchers at UCLA developed a risk scoring system to predict long-term survival after liver re-transplantation, identifying eight key risk factors for potential failure. The predictive index will help guide physicians in determining patient risk and provide patients with informed consent information.
Scientists at LMU Munich developed a mathematical model that accurately mimics human sound recognition, showing the brain compares stored and perceived sounds efficiently. The new library-based model predicts the flow of information from cerebrum to thalamus, enabling highly efficient real-time implementation.
A new study suggests that harboring overconfidence can be beneficial in various situations, including sports and business. The research reveals that accurate assessments are often outweighed by overconfident strategies when the rewards of conflict are high enough to justify the risks.
The study combines genetic data with mathematical modelling to provide insights into cell differentiation. The findings demonstrate the utility of a systems biology approach, which could have implications for understanding and treating diseases such as cancers caused by abnormal cell function.
A new math-based model has been developed to predict pressure profiles, liquid/gas volumes, and flow rates in deep-water wells. The model aims to mitigate the risk of blowouts and gas kicks, which can occur when the pressure applied to balance hydrocarbon pressure is not sufficient.
A new mathematical model shows that species pairs can reemerge after collapse if the disturbance is removed. Hybridization between closely-related species can lead to population decline and biodiversity loss. The study suggests that ecosystem managers may be able to refill ecological niches, but not resurrect lost species.
A mathematical model developed by scientists shows that ecosystems remain relatively stable despite constant changes in species populations, highlighting the ecosystem's role as a self-contained entity. This finding suggests that preserving entire ecosystems may be more crucial than protecting specific endangered species.
Researchers found that Irritable Bowel Syndrome is linked to an overgrowth of bacteria in the gut, as well as a connection to food poisoning. The study suggests that military personnel are at a higher risk for developing IBS due to their increased exposure to gastroenteritis.
Physicists at the University of Miami developed a mathematical model to describe the timing of price changes in the Foreign Exchange market. The study reveals patterns of synchronicity among currency pairs, which increases with increased activity.
A mathematical model suggests culling will not control the spread of white-nose syndrome, a deadly fungus threatening North American hibernating bats. The fungal pathogen occurs in caves and mines where bats live, making contact rates high among colonial bats.
Researchers at Cambridge University have finally resolved the debate on how fleas jump, discovering that they push off with their toes. The team used high-speed cameras and mathematical modeling to analyze flea jumps, finding that both the tarsus and trochanter were involved in the jumping process.
A mathematical model created by Andrew Ching shows that fewer firms enter the marketplace when drug approval times are shorter, potentially reducing prices. However, companies may experience losses due to development costs and uncertain review processes.