Statistical test relates pathogen mutation to infectious disease progression

Ryosuke Omori and Jianhong Wu develop an inductive algorithm to study site-specific nucleotide frequencies using a multi-strain susceptible-infective-removed (SIR) model to better understand infectious disease epistemology, pathogen evolution, and population dynamics. Credit: Wikimedia Commons. Nucleic acid sequencing methods, which determine the order of nucleotides in DNA fragments, are rapidly progressing. These processes yield large quantities…

Scientists explain how the process of erosion forms unusual shapes and structures

Credit: Skolkovo Institute of Science and Technology Scientists at Skolkovo Institute of Science and Technology have determined through mathematical modeling that the process of erosion optimizes the shapes of disintegrating materials. Natural wind and water erosion often creates spectacular landforms such as natural arches and bridges, balanced pillars and domes. The national parks of Utah…

Mathematicians obtain new fundamental results in functional inequalities

Credit: RUDN University Invited professor of RUDN University Durvudkhan Suragan and a team of colleagues have obtained and established new types of functional inequalities. Hardy’s inequalities are an important type of problem solving in mathematical physics. The results of the study were published in Advances in Mathematics. The properties of the so-called Hardy’s inequalities have…

Can math predict what you'll do next?

Big data makes it a bit easier to guess your next move. Credit: blackboard1965/shutterstock.com Good scientists are not only able to uncover patterns in the things they study, but to use this information to predict the future. Meteorologists study atmospheric pressure and wind speed to predict the trajectories of future storms. A biologist may predict…

Mathematicians crack 44-year-old problem

Tarski proved that a circle with a radius of one cannot be completely covered by strips whose combined width is smaller than two — the circle’s diameter. Each of the strips in the image has its own length and color. Credit: MIPT Israel Institute of Technology and Alexandr Polyanskii from the Moscow Institute of Physics…

Mathematical model mimics melanoma

Mathematical model mimics melanoma. Left: melanoma cells grown in culture with normal cells form clusters that resemble proto-tumors. Right: Simulations using a modified version of the Widom-Rowlinson model replicate patterns of melanoma cell growth seen in laboratory experiments by controlling the exclusion area — the amount of space required — around two types of simulated…