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.
Scientists have created a thermoacoustic engine that converts thermal energy into acoustic energy, which can be transformed into mechanical or electrical energy. The device has the potential to generate power ranging from tens to thousands of watts and could be used for camping, backpacking, and emergency situations.
Researchers developed a novel model predicting mood episodes using only sleep-wake pattern data from wearable devices. The study found daily changes in circadian rhythm are key predictors of mood episodes, offering new possibilities for tracking individual changes to prevent future episodes.
Researchers at Uppsala University developed a mathematical model to understand how seabird species coexist on isolated islands. The model shows that different species use distinct fishing zones, maximizing energy intake based on traits like wing length and diving depth.
The study emphasizes the need for a coherent approach to understanding A.I. threats, recognizing the intricate interplay between technology and society. Experts propose involving laypeople and experts in risk assessment processes, as well as promoting social resilience to ensure better decision-making.
A new study led by UNLV anthropologist Brian Villmoare models thousands of generations to understand why animals, including humans, prioritize short-term benefits over long-term returns. The research suggests that organisms choose a more distant reward only if it's substantially higher and has a high degree of reliability.
Researchers at Lehigh University are using advanced algorithms and cross-domain data to help cities predict human movement patterns, enabling better planning and preparedness for events and emergencies. The model will account for variations in data streams from different sources, such as cell towers, GPS, and financial transactions.
Rice bioengineers create a mathematical model that challenges long-held assumptions about IL-12's behavior in the body, suggesting repeated doses cause immune cells to hoard IL-12 before it reaches the bloodstream. The findings have significant implications for IL-12 therapy design and may lead to more effective dosing regimens.
A new study by University of Michigan researchers introduces a framework to compare and analyze competitive interactions across various fields, from sports to social hierarchies. The 'depth of competition' model reveals that human games and sports are surprisingly shallow, while animal competitions exhibit much deeper stratification.
Healthy mice swing their tails actively to counterbalance tilts, producing significant angular momentum. This study provides a new experimental setup for assessing mouse balance and improves understanding of neurological mechanisms behind balance issues.
Researchers at UNC-Chapel Hill have developed an innovative computer model of blood flow in the human heart that captures normal heart function and predicts responses to different levels of blood flow. The model has potential applications in medical device design, personalized therapy, and cardiac digital twins.
A team of MIT engineers has developed a new computational method for analyzing complex biological systems, including the immune system's response to tuberculosis vaccination. The approach uses probabilistic graphical networks to identify key interactions and mechanisms, shedding light on how vaccines induce immunity.
A mathematical model developed by researchers at Tokyo Metropolitan University predicts how the environment affects the life choices of salmon, revealing a complex impact on population evolution. The model correctly forecasts changes in migration patterns in response to environmental conditions, shedding light on eco-evolutionary respo...
A Cornell University research team found that strategically placing a mix of medium-speed and fast-charging stations in urban areas increases driver usage and improves investor profitability by 50-100%. The team used Bayesian optimization to analyze data from Atlanta, taking into account factors like traffic and road characteristics.
Researchers used a virtual cow game to study human movement and navigation, developing a model that can simulate human behavior and predict choices. The study found that humans make decisions based on angular distance and previous choices, and the developed model could accurately mimic these patterns.
Researchers used a classical computer and mathematical models to outperform a quantum computer on a task involving a two-dimensional quantum system of flipping magnets. The system displayed a behavior known as confinement, which had previously been seen only in one-dimensional systems.
Researchers developed a method to assess which patients with metastatic triple-negative breast cancer can benefit from immunotherapy. The tool uses predictive biomarkers and machine learning-based approaches to identify patients who are likely to respond to treatment.
A new study suggests that Betelgeuse's pulsing is due to an orbiting companion star known as the 'Betelbuddy'. The star acts like a snowplow, pushing light-blocking dust out of the way and making Betelgeuse appear brighter. Researchers used computer simulations to confirm this hypothesis, ruling out other possible causes.
Researchers at Newcastle University developed a novel approach using electromagnetic waves to solve partial differential equations, specifically the Helmholtz wave equation. The innovative structure, known as a metatronic network, effectively behaves like a grid of T-circuits and allows for control over PDE parameters.
A new methodology has been introduced that significantly enhances the accuracy of epidemiological estimates for infectious diseases like COVID-19. The approach adopts a history-dependent framework, eliminating biases in traditional models and allowing for more precise predictions of disease spread.
Researchers have developed a new approach to epidemic modeling that considers socioeconomic factors like income, education, and ethnicity. This framework allows for more realistic predictions of disease spread by accounting for how people interact and respond to public health measures.
Astronomers have discovered patterns of regularity within the chaotic three-body problem, which is a fundamental challenge in physics. The researcher's findings suggest that certain configurations of three massive objects can lead to predictable outcomes, offering new insights into astrophysics and the behavior of black holes.
A new study from the University of Waterloo suggests that men and women should eat different breakfasts to lose weight. The research found that men's metabolisms respond better to high-carbohydrate meals after fasting, while women are better served by higher-fat meals.
A new Canadian study models a 1-dose HPV vaccination approach and finds it could prevent a similar number of cervical cancers as 2 doses if vaccine protection remains high. The switch is projected to be a more efficient use of vaccine doses, potentially eliminating cervical cancer in Canada by 2040.
Researchers have discovered that small networks of neurons in the fruit fly's brain can generate an accurate internal compass, contrary to previous assumptions. This finding expands our knowledge of what small networks can do and challenges traditional views on brain size and function.
Researchers developed a novel molecular tool, SYNCit-K, that enhances synaptic strength, leading to induced sleep and improved sleep quality in mice. The study reveals the role of synaptic connections in controlling sleep homeostasis.
Researchers developed a model to project Italy's energy storage needs for a renewable energy system, accounting for daily and seasonal fluctuations. The model suggests that increasing short-term energy storage capacity is critical for decarbonizing the power sector.
Researchers developed a mathematical model predicting enhanced survival outcomes for NSCLC patients with novel treatment combinations. The model neutralizes the negative effects of miR-155, boosting standard-of-care treatments like cisplatin and immune checkpoint inhibitors.
Researchers from Penn and Princeton developed a method of judging behavior that sustains cooperation, called 'look twice, forgive once.' This approach looks at multiple actions and forgives some bad actions to maintain consensus, confirming the original hypothesis that public institutions are not necessary for reputation-based cooperat...
A modelling study suggests that slow waning of MMR vaccine-induced immunity may contribute to rising measles cases in double-vaccinated people. However, the MMR vaccine remains the most effective measure to prevent measles infection, and community vaccination levels above 95% are essential to prevent outbreaks.
A new study suggests that using state-of-the-art energy efficiency technologies can enable Europe's construction sector to almost eliminate its carbon emissions by 2060. Employing technologies like solar energy and heat pumps can reduce total energy used for heating and cooling buildings by up to 97%.
The study found that daily homework assignments were most effective for improving mathematics achievement, while science performance benefitted from homework assigned three to four times a week. Short-duration homework tasks lasting up to 15 minutes were shown to be just as effective as longer assignments.
Pioneer plants facilitate other plant species through resource sharing, while also benefiting from the interaction. Over time, as more species grow, competition increases, and pioneers become disadvantaged.
A team of researchers at Pusan National University developed a pricing formula for perpetual American strangle options (PASOs) using a stochastic volatility model. The formula is accurate and provides a better understanding of the risks and returns associated with PASOs, especially in low-volatility environments.
Researchers introduce a new mathematical model tailored for SOFCs using direct internal reforming of ethanol, validated against experimental data. The study reveals how operating conditions influence the reactions inside the SOFC, improving hydrogen yield and performance at increased current densities.
A landslide in remote Greenland caused a mega-tsunami that sloshed back and forth across a fjord for nine days, generating vibrations throughout the Earth. The study used mathematical models to recreate the event and demonstrate how the sloshing of water would have continued, matching global seismic recordings.
A novel network computer model, DiWANN, allows for efficient searches of cancer genetic data, identifying co-occurring mutations and similarities among DNA sequence elements across several types of cancer. The model provides a scalable solution to prioritize possible treatment targets.
Researchers at Klick Labs developed an AI technique using vocal biomarkers to predict chronic high blood pressure with up to 84% accuracy. The study used machine learning to analyze hundreds of indiscernible vocal biomarkers, including pitch variability and speech energy distribution patterns.
Researchers have developed a novel approach using deep learning to accelerate the solution of Navier-Stokes equations, a set of classical equations that describe fluid dynamics. The team's method achieved inference latencies of just 7 milliseconds per input, outperforming traditional finite difference methods.
A new study published in Scientific Reports confirms a linear relationship between blood glucose levels and voice fundamental frequency, suggesting potential for voice-based glucose monitoring. Researchers at Klick Labs used vocal biomarkers and AI to detect Type 2 diabetes with high accuracy.
A multi-university research team led by University of Virginia engineering professor Gustavo K. Rohde has developed a system that can accurately spot genetic markers of autism in brain images. The system uses generative computer modeling technique called transport-based morphometry, which reveals brain structure patterns that predict v...
The study utilizes near-infrared (NIR) spectroscopy and machine learning to provide quick, accurate, and cost-effective product analysis. The researchers created a global model for corn kernel analysis, which can predict moisture and protein content with high accuracy across different locations.
Roman Gaydukov developed a method to model fluid flow around rotating disks with small surface irregularities, reducing computational time and cost. The approach can accurately predict fluid flow behavior in chemical reactions and has potential applications in industry.
Researchers used neural networks to solve fundamental equations in complex molecular systems, achieving promising results in simulating excited states of molecules. This breakthrough could lead to practical uses in materials science and chemical synthesis.
Engineers at MIT have developed a physics-based model that accurately represents airflow around rotors under extreme conditions. This new theory has the potential to improve rotor blade designs and optimize wind farm layouts for maximum power output and safety.
A team of researchers found that James Joyce's 'Finnegans Wake' exhibits a unique structure in its use of punctuation, with sentence lengths following an orderly curve. This symmetry is rare in nature and suggests a well-organized complex hierarchical structure.
A mathematical model shows that quicker decisions are influenced by initial bias, while slower decisions are less biased. The model predicts that with more information, decision makers are more likely to behave rationally.
A new study using mathematical models found that individuals with strong biases are more likely to make quick decisions, while those with smaller biases take longer to deliberate. The researchers suggest that understanding these patterns can help reveal the mathematics behind human decision-making in complex situations.
A new study by an international team, including MIT and CNRS, observed that similarities exist between the behavior of birds in flight and physical systems. The research suggests that the transition from disorder to coordination is not as different between particles and biological elements as previously thought.
A mathematical model developed by Chris Zobel and colleagues optimizes resource allocation in urban infrastructure while considering social vulnerabilities and projected sea level rise impacts. The approach prioritizes investments that enhance resilience and mitigate socio-economic disparities, enabling informed decision-making that ba...
Several common analogies used to model belief dynamics are examined for their conceptual mileage and baggage. The authors argue that while these analogies can provide useful concepts and methodologies, they have limitations and can lead to inaccurate inferences. To construct accurate models, researchers should consider multiple sources...
Researchers introduce ghost channels and cycles to understand transient behaviors in complex systems like climate processes or neuronal networks. This new approach challenges traditional concepts based on stable or unstable equilibria, potentially helping predict tipping cascades and ecosystem degradation.
A new mathematical method, validated with experimental animal data, provides fast, reliable, and minimally invasive way of determining how to treat critical blood pressure changes. The method accurately tracks cardiac output and systemic resistance, mirroring estimates from more invasive catheters in some cases.
A Virginia Tech researcher has developed a simulation model to examine how public health interventions affect fatalities among teens and young adults. The study found that a single measure is not effective in reducing alcohol-related crashes; instead, a combined strategy with three key tenets is necessary.
A study by the University of Córdoba found that allocating water based on quotas is more effective in managing water consumption in agriculture. This approach reduces economic losses and has a greater social benefit compared to imposing additional taxes on water.
New research from Texas McCombs suggests that small sellers have more options than previously thought. The study modeled the interactions between companies and consumers, considering factors like other channels, number of players, and substitutability. Sellers can choose to retain control over their prices or sell to Amazon, weighing t...
A team of Nordic researchers developed a predictive model to analyze the spread of infections across borders from spring 2020 to end of that year. The study revealed that cross-border closures were unlikely to have significant impact in specific scenarios, and restrictions may be more effective when targeting travelers.
A modeling study suggests that prosocial behaviors can arise and be maintained in large societies through various mechanisms, including influencers who recruit neighbors to cooperate. The strategy produced similar results as strong leadership that prevents detected defectors from defecting again.
Researchers show that individuals can influence others to make decisions in the best interest of society through social norms and positive feedback loops. This approach can be more effective than centralized models in achieving collective action.
A new mathematical model suggests that male mammals' absence of breastfeeding may be an evolutionary strategy to limit the spread of harmful microbes. The theory proposes that maternal-only lactation acts as a sieve, retaining beneficial microbes and preventing their transmission through mammary milk.
A team of engineers has created a new mathematical model to accurately simulate the effects of blood flow on the adhesion and retention of nanoparticle drug carriers. The model, developed by University of Illinois professors Arif Masud and Hyunjoon Kong, was tested in vitro and demonstrated promising results.