Articles tagged with Mathematical Modeling
Comprehensive exploration of living organisms, biological systems, and life processes across all scales from molecules to ecosystems. Encompasses cutting-edge research in biology, genetics, molecular biology, ecology, biochemistry, microbiology, botany, zoology, evolutionary biology, genomics, and biotechnology. Investigates cellular mechanisms, organism development, genetic inheritance, biodiversity conservation, metabolic processes, protein synthesis, DNA sequencing, CRISPR gene editing, stem cell research, and the fundamental principles governing all forms of life on Earth.
Comprehensive medical research, clinical studies, and healthcare sciences focused on disease prevention, diagnosis, and treatment. Encompasses clinical medicine, public health, pharmacology, epidemiology, medical specialties, disease mechanisms, therapeutic interventions, healthcare innovation, precision medicine, telemedicine, medical devices, drug development, clinical trials, patient care, mental health, nutrition science, health policy, and the application of medical science to improve human health, wellbeing, and quality of life across diverse populations.
Comprehensive investigation of human society, behavior, relationships, and social structures through systematic research and analysis. Encompasses psychology, sociology, anthropology, economics, political science, linguistics, education, demography, communications, and social research methodologies. Examines human cognition, social interactions, cultural phenomena, economic systems, political institutions, language and communication, educational processes, population dynamics, and the complex social, cultural, economic, and political forces shaping human societies, communities, and civilizations throughout history and across the contemporary world.
Fundamental study of the non-living natural world, matter, energy, and physical phenomena governing the universe. Encompasses physics, chemistry, earth sciences, atmospheric sciences, oceanography, materials science, and the investigation of physical laws, chemical reactions, geological processes, climate systems, and planetary dynamics. Explores everything from subatomic particles and quantum mechanics to planetary systems and cosmic phenomena, including energy transformations, molecular interactions, elemental properties, weather patterns, tectonic activity, and the fundamental forces and principles underlying the physical nature of reality.
Practical application of scientific knowledge and engineering principles to solve real-world problems and develop innovative technologies. Encompasses all engineering disciplines, technology development, computer science, artificial intelligence, environmental sciences, agriculture, materials applications, energy systems, and industrial innovation. Bridges theoretical research with tangible solutions for infrastructure, manufacturing, computing, communications, transportation, construction, sustainable development, and emerging technologies that advance human capabilities, improve quality of life, and address societal challenges through scientific innovation and technological progress.
Study of the practice, culture, infrastructure, and social dimensions of science itself. Addresses how science is conducted, organized, communicated, and integrated into society. Encompasses research funding mechanisms, scientific publishing systems, peer review processes, academic ethics, science policy, research institutions, scientific collaboration networks, science education, career development, research programs, scientific methods, science communication, and the sociology of scientific discovery. Examines the human, institutional, and cultural aspects of scientific enterprise, knowledge production, and the translation of research into societal benefit.
Comprehensive study of the universe beyond Earth, encompassing celestial objects, cosmic phenomena, and space exploration. Includes astronomy, astrophysics, planetary science, cosmology, space physics, astrobiology, and space technology. Investigates stars, galaxies, planets, moons, asteroids, comets, black holes, nebulae, exoplanets, dark matter, dark energy, cosmic microwave background, stellar evolution, planetary formation, space weather, solar system dynamics, the search for extraterrestrial life, and humanity's efforts to explore, understand, and unlock the mysteries of the cosmos through observation, theory, and space missions.
Comprehensive examination of tools, techniques, methodologies, and approaches used across scientific disciplines to conduct research, collect data, and analyze results. Encompasses experimental procedures, analytical methods, measurement techniques, instrumentation, imaging technologies, spectroscopic methods, laboratory protocols, observational studies, statistical analysis, computational methods, data visualization, quality control, and methodological innovations. Addresses the practical techniques and theoretical frameworks enabling scientists to investigate phenomena, test hypotheses, gather evidence, ensure reproducibility, and generate reliable knowledge through systematic, rigorous investigation across all areas of scientific inquiry.
Study of abstract structures, patterns, quantities, relationships, and logical reasoning through pure and applied mathematical disciplines. Encompasses algebra, calculus, geometry, topology, number theory, analysis, discrete mathematics, mathematical logic, set theory, probability, statistics, and computational mathematics. Investigates mathematical structures, theorems, proofs, algorithms, functions, equations, and the rigorous logical frameworks underlying quantitative reasoning. Provides the foundational language and tools for all scientific fields, enabling precise description of natural phenomena, modeling of complex systems, and the development of technologies across physics, engineering, computer science, economics, and all quantitative sciences.
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.
The new bike-sharing system aims to reduce traffic congestion and alleviate parking shortages, promote fitness, and enable good complementary public transportation. Tel Aviv University's research provides a mathematical model to scientifically manage bike availability, creating a more efficient and user-friendly system.
Scientists developed a mathematical model to describe interactions within ecological food webs, illustrating how human intervention can aid species conservation. The study found that over 70% of extinctions are preventable by balancing the system with available resources.
A mathematical model for moving bottlenecks in road traffic is proposed, taking into account the influence of a slow-moving vehicle on entire traffic flow. The model improves transportation designs and reduces congestion, accidents, and risk management.
A mathematical model predicts a decline in workplace accidents in Spain from 2011 to 2012, with significant reductions in commute-related accidents. The model forecasts a decrease in fatal and serious accidents, while slight accidents also show a small decline.
Researchers at the University of Rochester Medical Center are using mathematical modeling to study potentially deadly flu viruses and develop new vaccines and therapies. The five-year contract aims to enhance human immune responses and identify areas for investigation into treatments for lethal viruses.
Researchers at NYU's Courant Institute of Mathematical Sciences developed an algebraic model to predict DNA hybridization, enabling the monitoring of cell gene expression and genome characterization. The study provides a new tool for understanding biological systems and enhancing cancer and genetics research.
USDA scientists have developed a first-of-its-kind mathematical model to select optimal temperature and salt concentrations to reduce or eliminate microbial contamination in smoked salmon. The research aims to protect the pleasing flavor and texture of smoked salmon while ensuring food safety.
A new analysis by Jianzhi Zhang and coworkers reveals flaws in models predicting the cost of complexity and finds that moderate complexity best enables organisms to adapt. The study challenged assumptions underlying traditional mathematical models, suggesting that a moderate amount of complexity is beneficial for adaptation.
Researchers developed models to investigate non-healing bone fractures, suggesting cell transplantation as a potential treatment. The study used an animal model and mathematical modeling to demonstrate the effectiveness of this approach.
The Society for Industrial and Applied Mathematics (SIAM) awards the Julian Cole Lectureship every four years to recognize outstanding contributions to mathematical characterization and solution of challenging problems. This year, Professor John King received the award for his work on mathematical modeling of tumor growth.
Researchers developed a new mathematical model to predict ventricular function during the cardiac cycle, offering a simpler alternative to existing models. The model, comprising five parameters, may improve treatment options for patients with heart disease and integrate into multi-scale models of working hearts.
Researchers at Max Planck Institute of Neurobiology successfully establish conditions for decoding fly brain's motion vision mechanisms. They use fluorescence molecules and state-of-the-art microscopes to observe nerve cell activity, revealing that L2-cells transform data and relay information about light intensity reductions to subseq...
A mathematical model reveals that division of labor can occur through the evolution of developmental plasticity, requiring strong genetic relatedness and fitness trade-offs. The model suggests a straightforward path for division of labor and may be applied to various complex evolutionary processes.
Researchers developed a mathematical model that identifies the top 10 locations for tsunami detection buoys and sea-level monitors in the Indian Ocean. This could save time and money, as well as provide warning to more people in the event of a devastating tsunami.
A study published in Experimental Biology and Medicine reports the discovery of periodic heart rate decelerations in premature human infants. The researchers developed a mathematical model based on Hopf bifurcation theory to describe the dynamics of these decelerations, which are statistically correlated with impending sepsis in neonates.
Researchers from UBC have developed a mathematical model that unravels the generation of biological diversity within and between species. The model suggests that multiple traits acting in concert can generate diversity even with weak interactions, mirroring the complexity of reality.
A new mathematical model developed by Indiana University and Arizona State University geographers can help policymakers focus on spatial management of sex offenders, rather than punitive measures. The model allows communities to quantify risk and special concerns, enabling informed decision-making about sex offender policies.
Bruce Bukiet's mathematical model predicts the top-performing teams in Major League Baseball for the 2010 season. His predictions focus on the power and relevance of math, demonstrating how it applies to baseball, and are based on a more realistic runner advancement model.
Researchers at Rensselaer Polytechnic Institute developed a new computer model using mathematics to predict how environmental, medical, and physical changes affect sleep. The model provides clues to the basic dynamics of the sleep-wake cycle, offering a non-invasive way to study the brain and sleep.
Researchers at UCLA use mathematical modeling to analyze urban crime patterns, identifying two types of 'hotspots' that respond differently to policing. The model predicts when increased policing efforts will displace or suppress crime, providing valuable insights for law enforcement.
A recent study by Cornell University scientists reveals that trees have evolved to maximize photosynthetic capacity through a decrease in specific leaf area as they increase in size. This change is attributed to a developmental shift towards short-shoots, which produce leaves with smaller specific leaf areas than long-shoots.
A new mathematical model simulates the Big Bang's physical processes, including gas motion, radiation transport, chemical kinetics, and gravitational acceleration. The model's tight coupling enables highly accurate and numerically stable simulations on large supercomputers.
Scientists develop a mathematical model of a three-cell microcircuit in a chicken's brain, revealing an elegant compromise between abstraction and complexity. The model reduces the system to one equation with two parameters, shedding light on why it's difficult to understand the brain using traditional methods.
Researchers have successfully predicted a previously unknown cellular mechanism using mathematical modeling of DNA microarray data. This breakthrough brings biologists closer to understanding and controlling the inner workings of cells, similar to NASA's trajectory prediction capabilities.
Researchers at Ohio State University have developed a mathematical model of ischemic wound healing, simulating both non-ischemic and ischemic wounds. The model predicts that ischemic wounds will heal in about 20 days, but only 25% will be healed by then.
Scientists developed a quantitative mathematical model of DNA replication and cell division for Caulobacter crescentus, an alpha-proteobacterium crucial to global carbon cycling. The model accurately represents the sequence of physiological events during cell division and predicts the impact of specific mutations on cell function.
Mathematical models help simulate plausible scenarios, develop control strategies, and identify areas for research. The H1N1 virus could become more severe in the fall, with small seasonal variations driving large annual surges in disease transmission.
Researchers at MIT created a model to describe and predict phantom traffic jams, which form when high-density traffic becomes self-sustaining. The model could help engineers design roads with enough capacity to prevent such jams, as well as identify safe speed limits and hot spots for accidents.
A new technique has been developed to evaluate basketball players' performance, using mathematical models that consider multiple factors such as points scored, rebounds, assists, and relative importance. The results show that certain players excel in specific positions, highlighting the need for more nuanced evaluation methods.
The study reveals a mechanism in the brain's neuronal network that restricts working memory capacity to two to seven items, with frontal lobes regulating parietal lobe memory capacity. The 'model brain' computations were confirmed using fMRI experiments and suggest improved working memory through increased frontal lobe activation.
Researchers found that visual information from a person's face and lip movements significantly improves understanding of spoken words, especially in moderately noisy settings. This benefit increases when sound quality rises, allowing people to recognize up to 60% of words correctly.
Researchers developed a model explaining how consumers categorize new hybrid products, finding that activation flows through category structures. The Category Activation Model predicts positioning a new subcategory under relevant parent categories with many subcategories connected
Researchers are exploring how drugs interact with cells to identify new ways to overcome resistance. By combining physics and mathematics, they aim to control drug delivery and reduce multidrug resistance in diseases like cancer and malaria.
A new study published in PLoS Medicine finds that artemisinin combination therapy (ACT) can reduce malaria transmission in low-transmission areas, comparable to the use of insecticide-treated bed nets. Longer-acting anti-malarial regimens may also be effective in reducing transmission in high-transmission areas.
Researchers studied e-mails sent from over 3,000 accounts and found that people don't respond to e-mails randomly, but rather in cycles influenced by their daily routines. The model reveals non-random intervals between e-mails, including times when people are sleeping.
A new approach uses lessons from the 2004 election and factors in state polling data, undecided voters, and 'safe' states. The model predicts a margin of up to 282.8 electoral votes for McCain against 255.2 for Obama.
A linear mathematical model allows for estimation of minimal detectable tumor sizes, based on blood tumor biomarker assays. The model relates secreted blood biomarker levels to tumor sizes, providing a tool for cancer screening and monitoring.
The Society for Industrial and Applied Mathematics recognized student winners of the SIAM Award in the Mathematical Contest in Modeling, who presented their winning papers at the 2008 SIAM Annual Meeting. The contest challenges teams of undergraduate students to clarify, analyze, and propose solutions to open-ended problems.
A team of Swedish researchers characterized novel systems properties of insulin signaling in human fat cells through mathematical modeling. The study provided further insight into energy level maintenance via the hormone insulin, which is critical for preventing Type 2 diabetes. Insulin function impairment is a cardinal cause of the di...
Researchers developed a mathematical model estimating asymptomatic infections in malaria transmission. The model predicts that regions of moderate transmission can be eradicated below a threshold, making industrialized nations highly unlikely to experience re-emergence.
A new study reveals that zigzagging provides the most efficient way for humans to ascend steep slopes, with a mathematical model supporting its advantages. The research suggests that this pattern of movement emerged as a compromise between energy efficiency and the physical limitations of human physiology.
Researchers created a mathematical model of bacterial cell division in Caulobacter crescentus, confirming existing hypotheses and identifying gaps in understanding. The model demonstrates the role of computation in biology and provides a framework for testing predictions and simulating mutant bacteria.