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 analyzed massive audio recordings to create a dictionary of short melodies in English-language prosody, assigning functions and meanings. They discovered hundreds of basic patterns with linguistic functions, including conveying attitudes such as curiosity or surprise, and identified syntactic rules governing their order.
A Lehigh University team developed a novel machine learning method to predict abnormal grain growth in materials, enabling the creation of stronger, more reliable materials. The model successfully predicted abnormal grain growth in 86% of cases, with predictions made up to 20% of the material's lifetime.
Researchers propose universe may rotate with one rotation every 500 billion years, resolving Hubble tension paradox and explaining discrepancies in astronomical measurements. The theory is compatible with current models and doesn't break any known laws of physics.
Researchers developed a new modeling method that estimates customer interest beyond completed transactions and traditional forecasting techniques, providing a more precise way to understand demand. The approach helps businesses optimize operations and improve decision-making by reconstructing missing pieces of the demand picture.
Increasing dietary potassium and reducing sodium can effectively regulate blood pressure, according to a new mathematical model developed by the University of Waterloo. The study suggests that a higher ratio of potassium to sodium intake may be more effective for lowering blood pressure than simply reducing sodium intake.
The study reveals that frustrated assemblies can lead to materials with desirable properties like strength and toughness. By understanding the relationship between structure and property, researchers aim to design advanced materials for medical devices and sustainable construction.
Researchers developed a machine learning-powered fluid simulation model that significantly reduces computation time without compromising accuracy. The new surrogate model maintains the same level of accuracy as traditional particle-based simulations while reducing computation time from approximately 45 minutes to just three minutes.
A study reveals widespread overlap between feeding grounds for seabirds, marine mammals, and regions with high wind potential. Researchers propose developing risk maps to predict conflicts and recommend expanding marine protected areas and strengthening spatial planning tools.
A new study models the demography of agricultural transitions, finding that population dynamics played a crucial role in the adoption of farming. The researchers used an ecological model to analyze interactions between farmers and hunter-gatherers, highlighting the impact of factors such as group migration and cultural assimilation.
A project aims to understand how temperature, light pollution, and bird abundance affect West Nile virus transmission in mosquitoes. The goal is to advise health departments on the best time to kill bugs and limit transmission.
A new framework developed by MIT researchers allows large language models (LLMs) to break down complex planning problems into manageable parts and find optimal solutions using software optimization tools. The framework achieves an 85% success rate on nine complex challenges, outperforming the best baseline.
Three UVA Engineering faculty members, Scott T. Acton, Gustavo Kunde Rohde and Shannon Barker, have been named to the 2025 class of the American Institute for Medical and Biological Engineering (AIMBE) College of Fellows. They are recognized for their contributions to biomedical engineering research, innovation, teaching and leadership.
A new mathematical model reveals that humans played an active role in the transition from hunting and gathering to farming, driven by factors like population growth rates and competition. The study challenges traditional views that focused on environmental factors, providing fresh insight into the rise of farming.
A team of researchers from Osaka University has demonstrated that human tissue can be used to solve complex equations and process information, outperforming traditional computing methods. This breakthrough uses the concept of reservoir computing, where data is input into a complex 'reservoir' that encodes rich patterns.
Researchers developed a new method to include uncertainty in predictive algorithms, ensuring accurate and reliable solutions. The approach uses Markov models to explicitly include uncertainty in specific parameters, allowing for faster predictions and more complete analysis.
Researchers at Kumamoto University have developed a new mathematical modeling technique for linear periodically time-varying systems, enhancing the accuracy of control system models. This breakthrough has profound implications for industries relying on complex control systems, such as autonomous vehicles and aerospace applications, imp...
Researchers discovered that pedestrians form neat lanes in crossing roads only until people start veering off at extreme angles, after which the flow becomes disordered. The team's theory predicts that critical angle of 13 degrees marks the point where crowds collapse from order to disorder.
Researchers studied Aurora Subglacial Basin's subglacial hydrology, finding dynamic rivers that change over time. This new insight may alter predictions of rising sea levels and the role of subglacial water in ice dynamics.
A new model predicts how bacteria navigate obstacles to spread, informing strategies for curbing infections or designing better drug delivery. The model focuses on three surface states: uninterrupted movement, sliding along surfaces, and getting stuck in corners.
Researchers have experimentally confirmed complex synchronisation patterns in oscillatory systems, including leaf-like structures and gaps representing unsynchronised states. This breakthrough builds on previous studies using breathing-soliton lasers to explore nonlinear dynamics.
Researchers from Virginia Tech have published a visionary paper on fusing wireless technologies and AI to create human-like common sense. The team aims to develop a network that can think, plan, and imagine like humans, enabling seamless merging of physical, virtual, and digital dimensions.
The Open Brain Institute launches a groundbreaking platform to simulate and study digital brains, empowering researchers to explore brain complexity and diseases. With its virtual neuroscience laboratories, the OBI enables global collaboration and access to cutting-edge virtual labs.
Researchers discovered how bacterial swarms transition from organized movement to chaotic flow as confinement radius increases. The study reveals intermediate states between order and turbulence through large-scale experiments, computer modeling, and mathematical analysis. These findings provide insights into the universal properties o...
Eliza Michalopoulou is leading a research project to improve ocean floor mapping using sound waves, aiming to understand the seabed's properties and characteristics. The goal is to enhance anti-submarine warfare strategies and contribute to global efforts like Seabed 2030 and Ocean Decade.
Yue Yu, Lehigh University mathematics professor, wins award for pioneering work in data-driven nonlocal models and integrating mathematical analysis into computational model design. The recognition honors her outstanding contributions to the field of computational mechanics at a young age.
A new study found that football teams move as though they are a single person, displaying Lévy walk patterns while hunting for the ball. This collective behavior suggests that individual players complement each other's actions in response to the game.
A new brain-mapping technique identified memory-related brain cells vulnerable to protein buildup, a key factor in Alzheimer's disease. The study found that certain cell types in the hippocampus and cortex were more affected by tau buildup.
A groundbreaking new framework unifies gravity from quantum relative entropy, bridging the gap between quantum mechanics and Einstein's general relativity. The theory predicts a small, positive cosmological constant aligning with experimental observations.
A research team identified simple rules governing decision-making during epidemics, which balance infection costs and social distancing. The guidelines predict population behavior based on disease reproduction number and infection cost, offering a new tool for governments to design intervention strategies.
A deep learning model, CGMformer, leverages large-scale continuous glucose monitoring (CGM) data to extract individual glucose dynamics. The model captures a continuous picture of glucose fluctuations, identifying patterns that may indicate early metabolic dysfunction.
A new mathematical model developed at the University of Waterloo can determine a baby's overall drug exposure when their mother is taking medication, specifically Levetiracetam. The probability of negative effects on a breastfeeding infant is very low for typically prescribed doses.
Researchers at North Carolina State University have developed a new technique to improve the efficiency of food-delivery operations. The technique accounts for key factors such as food supply, location, and vehicle capacity to determine optimized routes that make food delivery faster and more fuel-efficient.
Research advances higher-order networks to capture multi-agent interactions, enabling accurate modeling of biological, social, and physical systems. The Dirac-Bianconi operator provides a powerful generalization of the graph Laplacian, encoding local and global interactions across different topological dimensions.
Researchers at the University of Bristol have developed 'synthetic worms' that can move independently using active matter, a new class of materials. The 3D structures were created by applying an electric field to micron-sized particles suspended in a liquid mixture, and exhibit fascinating life-like behavior.
Researchers tracked thousands of neurons as a mouse learned to navigate two virtual corridors, revealing distinct representations of each corridor. The study sheds light on cognitive map formation and may provide insight into memory disorders like Alzheimer's.
A new method allows for accurate measurement of blood-brain barrier permeability, revealing that many CNS drugs penetrate the barrier rapidly. The study found that plasma proteins play a crucial role in maintaining brain delivery of lipophilic agents.
A new mathematical model sheds light on how the brain processes different cues during decision making, potentially improving treatment for neurological disorders like Alzheimer's. The latent circuit model proposes a 'low-dimensional' mechanism that explains decision-making in large neural networks.
Researchers at UC3M developed a new soft joint model that enables versatility of movement, adaptability, and safety in robots. The asymmetrical triangular structure allows for greater bending angles with less force, providing operational protection and increased safety in human-robot interactions.
A mathematical modeling study suggests that removing fallopian tubes during other abdominal surgeries can lower ovarian cancer incidence by five percent. The approach could also reduce total healthcare costs in Germany, with estimated annual savings of over €10 million.
A new study projects global sea-level rise between 0.5 and 1.9 meters by 2100 under a high-emissions scenario, with the very likely range being 90% probability for the event to occur. The fusion approach combines strengths of existing models with expert opinions, offering a clearer picture of future sea-level rise.
Researchers at UMass Amherst developed a model that quantifies the impacts of social factors on HIV spread, finding that addressing barriers to treatment and care can reduce national HIV incidence by 29%. The study suggests that investing in prevention and social programs could be more cost-effective than treatment alone.
A new study led by University of Oxford suggests that plants are more likely to be eavesdroppers than altruists when tapping into underground networks. The study found that it is unlikely that plants would evolve to warn other plants of impending attacks, instead finding that plants may signal dishonestly to harm their neighbors.
A new mathematical model offers a more realistic representation of how conformist and anti-conformist biases shape cultural traits through a population. The study finds that populations rarely converge to a single trait, and even small variations in individual behavior result in persistent diversity.
DNNs have an inbuilt 'Occam's razor,' favouring simpler solutions that fit training data. This bias helps them generalize well on simple patterns but may struggle with complex data, aligning with real-world data characteristics.
A series of small earthquakes in Surrey in 2018 and 2019 may have been triggered by oil extraction from a nearby well, according to a new study. The research used mathematical modeling to predict the frequency of earthquakes based on oil extraction timing and volume, finding a rough match with observed seismic activity.
A pioneering new mathematical model developed by Oxford researchers could help assess the risks posed by AI and protect people's privacy. The method provides a robust scientific framework for evaluating identification techniques, including browser fingerprinting.
The study reveals that directional connections propagate signals in a downstream flow, leading to more complex activity patterns. Mathematical models also suggest that modularity and connectivity interact to foster dynamical complexity.
A team of physicists and astronomers found that the Universe is expanding in a more varied way than previously thought, making dark energy unnecessary. The new evidence supports the timescape model of cosmic expansion, which attributes differences in stretching light to calibration issues rather than dark energy.
Researchers create SciAgents framework to autonomously generate and evaluate promising research hypotheses in biologically inspired materials. The framework uses graph reasoning methods to organize relationships between scientific concepts, mimicking biological systems.
Roman Krzysztofowicz, a professor of systems engineering at the University of Virginia, has written a new book that combines his decades-long research on probabilistic forecasts and optimal decisions. His work builds on his early studies in hydrology and computer programming, which laid the foundation for his later studies in decision ...
Researchers created an advanced computational model to optimize maternal vaccine design and protect high-risk populations. The model helps reveal which antibodies can pass through effectively and when, enabling the development of safer, more effective vaccines.
Mathematicians at University of Leicester applied statistical mechanics to detect human-made and natural causes of climate change, enabling early warnings of potential disasters. The theory provides a more advanced understanding of climate mechanisms driving change.
Dana-Farber Cancer Institute researchers present promising results from two studies on systemic mastocytosis: a novel drug, bezuclastinib, shows early efficacy in treating advanced SM, while a new predictive tool distinguishes between life-threatening and less aggressive forms of the disease with high accuracy
A new study reveals that the arm-like structures of mammalian brain cells, known as axons, are actually pear-shaped and not cylindrical tubes. The research team used high-pressure freezing electron microscopy to visualize the axons' structure, showing that they have a bubbly, pearl-like shape.
The Polymathic AI team has released two massive datasets for training artificial intelligence models to find and exploit transferable knowledge between seemingly disparate fields. The datasets include data from dozens of sources, covering astrophysics, biology, acoustics, chemistry, fluid dynamics, and more.
CNIO researchers have identified significant inaccuracies in widely used epigenetic clocks, which are now being refined by the team. The new epigenetic clock model provides more accurate measurements, reducing errors by up to 25 years for some tests.
Researchers have developed a mathematical model that provides strong evidence for the cosmic censorship conjecture in three dimensions, suggesting singularities inside black holes will always be hidden. The model has implications for quantum gravity and advances efforts to understand thermodynamic properties of black holes.
A mathematical model reveals a critical threshold for anthropogenic CO2 emission, beyond which crop yield starts to decrease significantly. Developing temperature-tolerant crops is crucial in maintaining agricultural productivity and ensuring food security.
Researchers introduce a new tool called 'persistence images' that uncovers hidden biases in medical imaging data, advancing fairness in healthcare AI. The technology helps detect bias, filter out noise, and improve overall accuracy, leading to more reliable diagnoses and better patient outcomes.
Researchers have created an acoustic model of the Parasaurolophus' crest, a unique feature of the duck-billed dinosaur. The model replicates the sounds produced by the crest, providing insights into the animal's communication and social behavior.