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 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.
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.