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.
A multidisciplinary team created a new algorithm to provide optimal personalized treatment options for individuals with esophageal cancer. The framework uses various heterogeneous factors that facilitate the progression of the disease and demonstrated high accuracy in controlling esophageal cancer.
A new tool, developed with a machine learning-based approach, can predict diuretic response in patients with ADHF. The BAN-ADHF score may lead to personalized strategies for effectively managing congestion in hospitalized patients.
A team of mathematicians solved Feynman's Sprinkler Problem by combining precision lab experiments with mathematical modeling. They found that the reverse sprinkler spins in the opposite direction when taking in water, and the cause is subtle and surprising.
Researchers have developed a model-free approach to identify topological systems, enabling the discovery of new materials. The method uses experimental approaches to measure topologically protected soft or fragile spots in unknown mechanical metamaterials.
A new model developed by MIT engineers predicts how certain shoe properties will affect a runner's performance, incorporating factors like stiffness and springiness. The model aims to help designers create high-performing shoes with novel properties.
Researchers at Iowa State University have identified common design principles in Boolean network models used to simulate complex systems and find solutions. The study highlights the importance of 'canalization' and other evolutionary mechanisms shaping gene regulatory networks.
Researchers analyzed large datasets of neural wiring in fruit flies, mice, and worms to compare networks across species. They created a mathematical model based on Hebbian plasticity, which shows how strong connections form and leads to clustering, suggesting a shared principle of self-organization governs brain network formation.
The review discusses the optical aspects of QPAT, including mathematical models for light propagation and interaction with biological tissues. The authors outline two approaches to estimating chromophore concentrations from absorbed optical energy density data, highlighting the challenges associated with practical implementation, such ...
A new study from the University of Birmingham suggests that epidemic modeling can significantly overestimate infection numbers due to ignoring network structures. The researchers found that heterogeneous networks can lead to smaller epidemic waves and fewer infections, contradicting standard 'random mixing' models.
The structure of families is projected to change significantly, with grandparents and great-grandparents increasing in age and number, while cousins, nieces, nephews, and grandchildren declining. This shift could limit their ability to help raise grandchildren.
Researchers developed a new mathematical framework to analyze genetic interactions and identified key regulators in entire biological networks. The approach, which combines geometry and statistics, reveals how individual genes and species influence network dynamics.
Researchers developed mathematical models based on real events data from the Swedish Trauma Registry, showing that AI models outperformed clinical outcomes. The study highlights the potential of AI-powered decision support to improve ambulance staff's ability to assess injury severity and potentially save more lives.
Korea Maritime & Ocean University researchers have developed a new method for assessing the path-following performance of autonomous ships in adverse weather conditions. The computational fluid dynamics model can provide more accurate predictions of path-following performance and enhance safety in autonomous marine navigation.
Suzanne Lenhart, Chancellor's Professor in UT's Department of Mathematics, will deliver the American Mathematical Society's Gibbs Lecture at JMM2024, recognizing outstanding achievement in applied mathematics. Her lecture explores how mathematical modeling can represent natural system dynamics and guide ecological management strategies.
A recent study using AI to analyze registry data on people's residence, education, income, health, and working conditions can predict life events such as personality and time of death. The model outperforms other advanced neural networks and provides precise answers despite ethical concerns about sensitive data and bias.
Researchers developed a mathematical model that accurately predicts gastrulation flows in chick embryos, which are similar to human embryos. The model then predicted cellular flows observed in frog and fish embryos, suggesting common physical principles behind multicellular self-organization across vertebrate species.
A study by Kyoto University researchers uses hierarchical mathematical modeling to analyze the shapes of skin eruptions and link them to the in vivo pathological dynamics of CSU. The Criteria for Classification of Eruption Geometry (EGe criteria) was developed, demonstrating high reliability among dermatologists.
Researchers develop a mathematical model that analyzes the future survival of plants in a changing climate by studying how far wind can carry seeds. The model provides fast and reliable predictions of seed movement, considering factors like seed type, plant height, and wind speed.
A research team at City University of Hong Kong has developed a novel performance evaluation method called Information Exchange Surrogate Approximation (IESA) to calculate blocking probabilities in queueing systems with overflow. IESA provides ways to allocate limited resources better, enhancing resource allocation and capacity plannin...
Researchers used AI-selected natural images and synthetic images to probe visual processing areas of the brain, finding that predicted maximal activator images significantly activated targeted areas. The study suggests individualized models for each subject can improve understanding of visual system organization across populations.
New research from University of Illinois Chicago identifies a potential 'stop growing' switch triggered by steroid hormone ecdysone in fruit flies, which may relate to human puberty. The study's findings have implications for understanding the growth-stopping process in humans, particularly given recent changes in puberty onset.
A new machine learning model, combining two techniques, has been found to be 30% more effective in predicting who will be cured of disease. This allows for targeted treatment strategies to minimize unnecessary interventions and optimize patient care.
Researchers have successfully observed the operating principle of promoters in a catalytic reaction in real-time. Using high-tech microscopy methods, they visualized individual La atoms' role in hydrogen oxidation. The study revealed that two surface areas of the catalyst act as pacemakers, controlled by promoter lanthanum.
Scientists at the University of Copenhagen and University of Victoria have developed an AI formula to predict rogue waves, which can split apart ships and damage oil rigs. The new knowledge can make shipping safer by identifying the likelihood of being struck by a monster wave at sea.
Researchers developed a deep learning model that can identify previously unknown quasicrystalline phases in multiphase crystalline samples. The model achieved a prediction accuracy of over 92% and successfully detected an unknown phase in Al-Si-Ru alloys.
Researchers at Purdue University developed a new tool to visualize neural network decisions, making it easier to identify errors in image recognition. The tool uses graph-topological data analysis to provide a bird's-eye view of all images in a database, revealing areas where the network struggles to distinguish between classifications.
Researchers found that language coexistence is influenced by interaction between communities with opposing language preferences. Individual preferences play a pivotal role in language dynamics, sometimes overcoming social prestige.
The UTSA MATRIX AI Consortium has received a $2 million grant to create new AI models that rapidly learn, adapt, and operate in uncertain conditions. The team aims to bridge the gap between human brain processing efficiency and current AI limitations, enabling more efficient and adaptive AI systems.
Researchers redesigned IVF needles to reduce fluid flow damage to eggs, improving oocyte collection and IVF success rates. The study uses computer models and mathematical simulations to optimize the design, which has been successfully tested in cattle, with plans for human trials.
A new mathematical model suggests that mammalian sperm cells exhibit two distinct swimming modes, which may be linked to fertilization. The model captures the interactions between motor kinetics and flagella deformations, revealing a second mode with stronger wave-shaped beating.
Researchers are combining biology, physics, computer science, and engineering to design electric circuits that mimic the brain's adaptive behavior. The goal is to create a more efficient AI application that can learn from history and adapt without significant energy consumption.
Researchers found self-supervised models generate activity patterns similar to mammalian brains, suggesting an organizing principle. The models learn representations of the physical world to make accurate predictions, potentially unlocking human-labeled data limitations.
Researchers describe traveling waves of acetylcholine in the striatum, revealing a new kind of neurochemical wave. The study proposes a mathematical mechanism by which simultaneous waves of acetylcholine and dopamine arise, maintaining balance in the brain's striatum.
Researchers from Austria and France join forces to unravel the secrets of gene regulation during mammalian development using stem cell-derived 3D culture models. The project aims to understand how key molecular events influence gene transcription and regulation over hours and days.
Researchers found that apoptotic cells induce apoptosis in neighboring hair follicle cells during the regression cycle. The study proposes a mathematical model of the hair follicle regression cycle, which suggests that the dermal papilla plays an essential role in initiating apoptosis.
A new study by Klick Labs reveals that AI technology can screen for Type 2 diabetes using six to 10 seconds of a person's voice, with high accuracy rates. The research used acoustic features to analyze recordings from over 18,000 participants and identified significant vocal variations between individuals with and without the condition.
Researchers created a 3D printed tumor model using bioprinting and synthetic chips to better understand complex cancers. The model simulates the surrounding environment, addressing limitations of traditional 2D models.
Researchers from Imperial College London and the University of Nottingham used machine learning to identify 'atomic shapes' that form basic pieces of geometry in higher dimensions. The findings reveal unexpected patterns in these shapes and demonstrate the potential for machine learning to accelerate mathematical discoveries.
Researchers studied how insects evolved two distinct flight strategies using robots and biophysicists. They found that asynchronous flight evolved together in a common ancestor, but some groups reverted back to synchronous flight.
A mathematical model suggests females infer attractiveness by watching peers' choices, learning to prefer rare traits that distinguish successful males. This learning process helps maintain variation in male traits and female preferences over time.
Researchers found that antigen testing significantly reduces the probability of cluster occurrence by identifying and isolating infected persons. However, it may not be effective against highly infectious mutant strains like Omicron, highlighting the need for booster vaccination campaigns and other infection control measures.
New plant cell walls exhibit significantly different mechanical properties compared to surrounding parental walls, enabling cells to alter their local shape and influence the growth of plant organs. Researchers have discovered that new cell walls in some plants are 1.5 times stiffer than the parental cell walls.
Researchers say current models fail to project oxygen dynamics in coastal ecosystems with high photosynthetic activity, such as seagrass meadows and coral reefs. Fluctuations in oxygen levels have been observed in systems like the Venice Lagoon and Red Sea coral reefs, where marine species adapt to changing conditions.
A new analysis of COVID-19 cases in Africa found that the rate of infection was likely much higher than reported in the initial stages. The researchers estimated that approximately 66% of all infections were asymptomatic, while about 5% were severe and 27% were mild.
Researchers at the University of Bristol studied the damping and natural frequency characteristics of a 150m tall building in London. The findings suggest that amplitude and time are the dominant factors affecting damping ratios, which can improve occupant comfort and reduce failure risk.
Researchers from the University of Oldenburg developed a new stochastic method to mitigate sudden swings in wind turbine power output. The study found that control systems are mainly responsible for short-term fluctuations and can be optimized to ensure more consistent energy output.
Researchers from University of Cambridge and Cornell University have developed a method to build machine learning models that can understand complex equations using far less training data. This breakthrough enables the construction of more time- and cost-efficient models for physics, engineering, and climate modeling applications.
The iHEART Simulator combines electromechanics, haemodynamics, and cardiac perfusion into a single platform for unprecedented biophysical accuracy. Researchers can study coronary artery disease, cardiac arrhythmias, and guide cardiac surgeons in delicate procedures.
Researchers have successfully solved a problem in graph theory that has attracted attention from within the field. The team's research involves packing coloring, which deals with labelling parts of a graph to comply with certain rules and avoid specific conflicts.
A University of Houston study found that most of Houston's ozone exceedance is due to transported pollutants from the central and northern US, while local photochemistry contributes to elevated ozone production. The research highlights the importance of reducing emissions at the Houston Ship Channel to mitigate future ozone pollution.
Researchers at the University of Melbourne have developed a new simulation model that can predict flooding during an ongoing disaster more quickly and accurately. The Low-Fidelity, Spatial Analysis and Gaussian Process Learning (LSG) model can produce predictions as accurate as advanced models but at speeds 1000 times faster.
Researchers at the University of Sydney and Max Planck Institute have developed new methods to describe synchronicity in complex systems. Their findings suggest that convergent walks on a network structure can lead to poor quality synchronisation.
Researchers have designed a hand-held model to demonstrate the concept of entropy for students, allowing them to confront the topic with new intuition. The model uses everyday materials to effectively demonstrate the quantitative nature of entropy, enabling students to reason correctly about its definition.
A new study suggests that synchronizing internal clocks can help alleviate jet lag and age-related problems. Researchers found that eating a larger meal in the morning can help overcome jet lag, while constant nighttime eating can lead to misalignment between internal clocks.
Tubificine worms can form entangled blobs that behave as a single organism to adapt to extreme environments and migrate more efficiently. Researchers successfully simulated collective movements of worm blobs in confined terrain, facilitating design of future swarm robotic systems.
A team of researchers at the University of Waterloo and Dalhousie University have developed a method for forecasting short-term disease progression using limited data. The Sparsity and Delay Embedding-based Forecasting model, or SPADE4, uses machine learning to predict epidemic progressions with high accuracy.
Augusta University researcher Arni S.R. Srinivasa Rao calls for updating the UN's traditional approach to measuring population replacement levels. He proposes a new formula that allows for more timely and accurate measurement, which is essential for understanding emerging global demographics.
MIT researchers developed a new algorithm that can execute complex maneuvers like loops and rolls for tailsitter aircraft, enabling agile trajectories with fast-changing accelerations. The algorithm uses differential flatness to ensure feasibility and planning in real-time.
Researchers found a lognormal distribution of neuron densities in mammalian brains, influencing network connectivity and potentially promoting efficient information transmission. The discovery is relevant for modeling the brain accurately and designing brain-inspired technology.
Researchers develop a new model predicting up to twice the original amount of subglacial water may be draining into the ocean, accelerating glacial melt and sea level rise. The theory uses satellite measurements and is a simple equation that can predict exfiltration in a fraction of a second on a laptop.