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 developed a new framework called SOLVE to overcome data challenges in precision cancer treatment. By jointly modeling known and unknown factors, SOLVE provides a robust tool for biomarker discovery and investigating tumor responses.
Researchers created a computational model that combines physiological signals, sensory input, and word information to construct human emotions. The model achieved an agreement rate of about 75% when compared to participants' self-reported emotional evaluations.
A UCalgary researcher has created an AI-based early detection system for river-borne pathogens, including whirling disease in trout and salmon. The model uses environmental variables like air temperature to predict pathogen distribution with impressive accuracy, even with limited data.
Researchers develop ddHodge, a geometry-preserving method that accurately reconstructs cell state dynamics. The technique reveals repeating processes like the cell cycle and identifies critical biological moments in embryonic development, tissue regeneration, and cancer progression.
A team of researchers from the Woods Hole Oceanographic Institution developed a theory for how microplastic particles accumulate in ocean eddies. They found that particles tend to accumulate in tubelike structures within circular currents, forming 'attractors' that resemble twisted, closed loops.
Researchers at Huazhong University of Science and Technology have implemented the first complete public-key encryption system at the physical optical layer. The innovation lies in integrating partially coherent light and reciprocity principles on a single photonic chip to conceal information within random optical fields.
A study found that viral interactions inside cells influence antiviral resistance outcomes, while a less potent drug may ironically improve its future utility by promoting social interactions in viruses. The researchers suggest a trade-off between hitting the virus hard and allowing resistance to rise.
A new study found the Rio Grande basin is severely depleted, with only half of used water being replenished by natural processes. The primary cause of overconsumption is irrigated agriculture, particularly cattle-feed crops like alfalfa and grass hay.
A new study shows that even small amounts of antibiotics in the environment can significantly accelerate the spread of antibiotic resistance genes among bacteria. The research found that low concentrations of antibiotics can stabilize existing resistance and promote the development of new resistance traits.
A new unified mathematical description model for coastal tipping points has been introduced, addressing escalating risks in coastal zones. The model classifies tipping points into six types, including bifurcation-driven, noise-driven, and shock-driven, highlighting the need for integrated strategies to mitigate regime shifts.
Researchers at OIST develop world-class 'hurricane-in-a-lab' setup to study turbulent Taylor-Couette flows. By re-examining Kolmogorov's framework, they find that the power law predicts universal behavior across all small-scale flows, resolving a long-standing inconsistency.
The Lehigh University team created a computational model to predict the hemodynamic response of patients with AFib, helping tailor neurostimulation dosages. The model validated against clinical data and predicted accurate effects on blood pressure, heart rate, and stroke volume.
A new mathematical framework, STIV, can predict larger-scale effects like proteins unfolding and crystals forming without costly simulations or experiments. The framework solves a 40-year-old problem in phase-field modeling, allowing for the design of smarter medicines and materials.
EPFL researchers have discovered a room-temperature version of the Leidenfrost effect, where oil droplets can bounce for up to five minutes on a vibrating solid surface. The phenomenon is driven by the droplet's own deformations, allowing it to perpetually bounce indefinitely.
A new project aims to develop a computationally efficient model that accurately predicts how additive manufacturing process parameters influence the solidification microstructure of binary alloy solidification. This will enable optimization of additively manufactured parts with confidence in critical industries.
Professor Dan M. Frangopol, Lehigh University's inaugural Fazlur R. Khan Endowed Chair, was recognized for his work on life-cycle civil engineering at the 21st International Probabilistic Workshop in Germany. He is widely credited with establishing this field and has authored over 500 peer-reviewed journal articles.
Researchers at the University of Missouri found that using blockchain to track ingredients through the supply chain reduces consumer uncertainty about food safety and increases willingness to pay premium prices. The technology also provides clear information about the source of ingredients, boosting trust in sustainable foods.
Researchers from the Institute of Industrial Science, The University of Tokyo, have developed a mathematical theory that can be used to design optimization strategies for dynamical networks, such as those comprising living organisms. They found that tools from information theory provided a way to simplify nonlinear optimization problem...
The book provides an overview of agent-based modeling and multi-agent systems, highlighting their application in understanding economic crises. It integrates machine learning to enhance adaptation and behavior of agents in dynamic environments.
The SAGEST Predictive Simulation Center will develop simulation tools to give scientists confidence in exploring extreme physical conditions. The center, led by UVA's Xinfeng Gao, will use high-fidelity and low-fidelity solvers to balance accuracy and efficiency in predictions.
Researchers developed a data-driven macroscopic mobility model that relies on simple observations from city planners' routine data collection. The D3M model can accurately represent diverse traffic conditions and simulate complex system-level dynamics.
Researchers developed a mathematical model that replicates the muscle movements of the esophagus during swallowing and reveals insights into esophageal motility disorders. The model includes signaling from the brain and nerves, as well as muscle contractions and relaxations, and can simulate various disorders.
The European consortium, funded by €4.5M, will recruit and train 15 PhD researchers to develop new models and methods for understanding complex biological systems. The network, coordinated by the University of Edinburgh, aims to create a framework grounded in physics that can be applied systematically.
Researchers are decoding animal decision-making using glass knifefish, exploring the trade-off between gathering information and acting on it. The study, funded by the NIH, aims to understand how animals make decisions in uncertain environments and may lead to breakthroughs in robotics and medicine.
A UMass Amherst kinesiologist has received a $2 million NIH grant to study how myosin molecules work together to drive different processes within cells. His research aims to develop drugs for heart failure, neurological conditions and genetic forms of deafness.
A new theory explains how ideas gain momentum and spread like wildfire. The researchers introduce a mathematical model that takes into account the evolution of ideas as they spread, leading to complex results with unexpected outcomes. This work has implications for understanding belief formation, misinformation, and social contagion.
A new study reveals how Lactococcus lactis regulates the production of a key precursor in vitamin K2 biosynthesis. By tuning substrate supply and genetic architecture, researchers can push production above natural ceilings, opening the door to engineering bacteria for enhanced vitamin K2 production.
A new study from the Complexity Science Hub reveals that innovation can only endure over time if it is balanced with exnovation - the loss or forgetting of older possibilities. The researchers found an interesting trade-off between innovation speed and system stability.
A study published in PLOS Neglected Tropical Diseases has shown that combining country-level information with individual-level variables can improve the identification of soil-transmitted helminth infections among migrant populations. Researchers found that country-level indicators are stronger predictors than individual-level variable...
The book explores foundational and advanced principles of modeling concurrent control systems using Petri nets, focusing on building reliable, verifiable systems where concurrency plays a central role.
Researchers create a technique to model organic objects, creating photorealistic 3D images of complex shapes for autonomous sorting. This method improves robotic systems that sort microscopic marine fossils used in climate research.
A recent study published in Brain reveals that a mathematical model can classify genes into four categories based on their interaction with the brain's network patterns. This classification helps explain why some brain regions deteriorate rapidly while others remain intact, providing new insights into Alzheimer's disease.
Researchers developed a theoretical model that accurately describes the relationship between mechanical stress and chemical reactions, resolving discrepancies in previous studies. The new model helps predict mechanochemical reactions, promising for greener manufacturing and lubricant design.
A mathematical model was developed to calculate the economic and environmental costs of fungicide resistance in agriculture. The study found that yields can increase or decrease depending on the context, and that expensive fungicides can actually reduce costs.
Researchers from The University of Osaka have devised new mathematical models to describe the mechanics of crystal defects. Using differential geometry, they provided a robust and rigorous framework for understanding these phenomena.
A new analytical method reveals overlooked species at risk of extinction, providing a valuable layer of insight for conservationists. The dual-role approach captures both predator and prey interactions, identifying keystone species and vulnerabilities.
A new study reveals that Alzheimer's risk genes influence tau buildup and spread in distinct pathways, challenging traditional views of the disease. Four gene types were identified: Network-Aligned Vulnerability and Resilience, and Network-Independent Vulnerability and Resilience.
A new study published in PNAS Nexus explores how opinions within inner circles influence the perception of social division. The researchers found that consensus within one's circle can exaggerate perceptions of polarization, and that subjective lenses change over time, influencing how individuals perceive societal polarization.
Scientists have developed a new tool named scICE to tackle the stability problem in single-cell RNA sequencing data. The tool provides a way to validate clustering outcomes mathematically, ensuring higher confidence in conclusions drawn from single-cell data.
A team led by L. Mahadevan found that young anacondas can execute a quick, one-off skating movement called the 'S-start' due to their physical attributes. This movement is similar to sidewinding and could inspire new robotic systems.
Researchers analyzed viral loads during early infection to predict disease progression and developed a method to identify patients at risk of severe symptoms. The study suggests that patients with high viral loads are more likely to experience long-lasting skin lesions and severe symptoms.
Researchers found that immunocompromised animals respond better to phage therapy due to depleted alveolar macrophages, which initially seemed to hinder its efficacy. The study highlights the importance of the immune system in phage therapy and may inform personalized treatment strategies.
A research team developed an analytical model to evaluate the performance of grant-free communications schemes in densely populated IoT environments. They found that interference cancellation improved base station throughput but did not resolve the near-far problem, while power control addressed it but led to decreased overall network ...
Advanced computer simulations reveal shear deformations and internal mechanical stresses play a crucial role in grain growth and evolution. This discovery helps explain why real polycrystals behave differently than predicted and offers insights into designing stronger materials.
A UBC Okanagan research team has developed TrajReducer, an AI system that accurately predicts vessel destinations by analyzing ship trajectories and patterns. This technology can help Canadian ports adapt quickly to global supply chain disruptions and improve operational efficiency.
Researchers at Harvard developed link-bots, centimeter-scale robots composed of V-shaped chains with notched links, capable of coordinated movements and emergent collective behavior. The team demonstrated link-bots' ability to move forward, stop, change direction, squeeze through gaps, and cooperate on tasks.
A new study found a universal organizing pattern governing species distribution across biogeographical regions. The research reveals that core areas provide optimal conditions for species survival and diversification, driving biodiversity radiance outward.
Researchers at the University of Maryland Baltimore County have made an important discovery about how cells move through tissues, combining mathematical modeling with advanced imaging to show that physical shape and chemical signals interact. The study's findings could inform new strategies for controlling cell movement via medical tre...
Researchers from The University of Osaka have demonstrated that vision transformers can spontaneously develop human-like visual attention patterns without specific training. This breakthrough showcases the potential of self-supervised learning for advancing AI applications and modeling biological vision.
Aurora, a state-of-the-art machine learning model, delivers high-quality forecasts for key environmental systems like air quality, weather, and tropical cyclones. The model's flexibility enables it to be used for various future scenarios, including flood risks, wildfire spread, and renewable energy output.
Research found that early-life growth plays a significant role in determining final adult height, accounting for about 67% of the variation. Childhood growth also accounted for a substantial proportion of the difference in adult height.
Researchers at Nagoya University discovered that combining two tiny vibrating elements can amplify their signal up to 100 million times, enabling the transmission of clear signals over long distances. This finding could innovate long-distance communications and remote medical devices without requiring high energy consumption.
Researchers found that a fertility rate of at least 2.7 children per woman is needed to reliably avoid eventual extinction in small populations. A female-biased birth ratio can reduce extinction risk, helping more lineages survive over time.
Researchers developed a new method to predict the effectiveness of mangroves in protecting coastlines against extreme weather events. The HU method uses wave non-linearity and can calculate wave height attenuation with ease, saving billions of dollars worldwide.
Mathematical modeling research from University of Utah Health suggests that treating moderate cases with antibiotics could limit the spread of cholera and reduce the likelihood of antibiotic resistance. In areas where cholera spreads slowly, aggressive antibiotic use may even stop outbreaks entirely.
A University of Ottawa-led study reveals that serotonin neurons are connected and interact with each other, controlling serotonin release in specific regions of the brain. This complex system has implications for understanding decision-making and developing targeted therapeutics for mood disorders.
Researchers developed a new method to determine optimal threshold time for restricted mean survival time analysis, improving statistical power in clinical and epidemiological studies. The method outperformed traditional statistical analysis methods in real-world scenarios, revealing clear differences between treatment groups.
Machine learning (ML) techniques can identify materials with high synthesis feasibility and suggest suitable experimental conditions. Computational models derived from thermodynamics and kinetics enhance predictive performance and interpretability of ML models, optimizing experimental design and increasing synthesis efficiency.
Researchers Ana Ivonne Vazquez-Armendariz and Jan Hasenauer are using their prize money to study the functions of scavenger cells in the lungs, combining mathematics and medicine. Their new models aim to understand how these immune cells behave in the lung, potentially unlocking better defense mechanisms.
A mathematical modeling study suggests that sustained HIV remission or eradication could consistently reduce new HIV infections among men who have sex with men (MSM) in the Netherlands. However, transient remission with a risk of rebound may increase new infections if not closely monitored.