Math can predict how cancer cells evolve

Cancer cells. Credit: Dr. Cecil Fox, National Cancer Institute Applied mathematics can be a powerful tool in helping predict the genesis and evolution of different types of cancers, a study from the University of Waterloo has found. The study used a form of mathematical analysis called evolutionary dynamics to look at how malignant mutations evolve…

GIMPS project discovers largest known prime number

Prime Numbers The Great Internet Mersenne Prime Search (GIMPS) has discovered the largest known prime number, 277,232,917-1, having 23,249,425 digits. A computer volunteered by Jonathan Pace made the find on December 26, 2017. Jonathan is one of thousands of volunteers using free GIMPS software. The new prime number, also known as M77232917, is calculated…

How Facebook could stop a disease outbreak

Credit: National Cancer Institute Facebook accounts and telephone records can be used to pinpoint the best individuals to vaccinate to stop a disease outbreak in its tracks, researchers said Wednesday. Such people would be “central” in their social networks, and thus likelier to spread disease-causing germs from one group to another. Assuming there is…

Maths for midges that pull 10g

A cecidomyiid laying eggs on grass. Credit: Sarefo/GFDL Midges move with ferocious randomness, frequently subjecting themselves to accelerations of more than 10g, well beyond the limit of fighter pilots, as they duck and dive in swarms that still retain an almost paradoxical cohesiveness despite blustery wind or powerful updrafts. Collectively, midges move very differently from…

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…