Research Nuggets

# Mathematical Model Reveals Solution to Sloshing Coffee

Hilary and John Ockendon use surprisingly simple mathematics to develop a model that mitigates sloshing beverages.

# Mathematically Modeling HIV Drug Pharmacodynamics

A mathematical model investigates the effects of drug parameters and dosing schedules on HIV latent reservoirs and viral load dynamics.

# Run STEM Run!

Think runners always sprint to the finish line? Think again!

# Streamlined Security: Optimizing Sensor Placement with Mathematics

An increasing global reliance on—and demand for—heightened security in public and private settings calls for optimal sensor technology.

# Diagnosing Obesity by Mathematically Estimating Abdominal Fat

Measurement of abdominal fat helps predict propensity to disorders caused by excess weight in the abdominal area.

# Modeling Invasive Activity: Zebra Musselsâ€™ Infiltration of North American Rivers

A continuous-discrete hybrid population model describes the invasive dynamics of zebra mussels in North American rivers.

# Periodic Model Predicts the Spread of Lyme Disease

Xiunan Wang and Xiao-Qiang Zhao present a periodic time-delayed model of Lyme disease that incorporates seasonality and climate factors.

# Mathematically Optimizing Traffic Lights in Road Intersections

Researchers compute optimal traffic light settings for urban road intersections via traffic flow conservation laws.

# Mathematical Model Limits Malaria Outbreaks

Researchers create a vector-bias model for malaria that incorporates climate, the vector-bias effect, and the extrinsic incubation period.

# The Mathematics of Coffee Extraction: Searching for the Ideal Brew

Composed of over 1,800 chemical components, coffee is one of the most widely-consumed drinks in the world.

# The Math Behind Diving Can Be as Beautiful as Diving Itself

Mathematical models can be used to obtain an understanding of the mechanics of twists generated during twisting somersaults.

# Improving Ice Sheet Models Through Algebraic Multigrid Methods

Improved modeling of ice-sheet dynamics is essential to better estimate and reduce uncertainties in the projections of sea-level rise.

# Advanced Algorithm Improves Art Restoration Techniques

An algorithm and multiplicative model can facilitate art conservation by eliminating visual discrepancies in X-rays of paintings.

# Bayesian Model Improves Use of X-ray Radiography in National Security

Researchers propose a new statistical formulation to better estimate the densities of objects imaged by quantitative radiography.

# NPZ Model: Maturity in the Juvenile Zooplankton

Planktonic ecosystems make up the bottom nutritive levels of aquatic food webs, providing a vital source of food to many large marine organisms.