Mathematical Modeling Gains Days for Brain Cancer Patients

For brain tumors such as glioblastoma it is difficult for physicians to access the outcome of a particular course of therapy. Matthew R. Francis reports on a proliferation-invasion model that was constructed by Kristin Rae Swanson and her colleagues at the Mayo Clinic. The model consists of a reaction-diffusion equation to estimate how cancer cells spread throughout the brain and uses magnetic resonance imaging data for calibration. Swanson hopes that use of this model might help to predict patient response to a given regimen and therefore lead to an individualized treatment.

Mathematical Resources to Help Understand COVID-19

A collection of resources to help facilitate a better understanding of the novel coronavirus outbreak and the research surrounding it.

Mathematics on the Chopping Block

The production of end-grain wooden cutting boards involves repeated operations

that lead to interesting mathematical questions. I explore some of the mathematical issues that arise in the process; they pose some interesting mathematical puzzles. I also show how mathematics can be used to create

intricate artistic designs for cutting boards that are amenable to

woodworking. These designs have been tested in real wood. Some of them belong

to a class of iterated-function-system fractals but others do not. The

overall goal is to produce an aesthetically pleasing design suggested by

mathematics and implementable in wood.

May 2021 Prize Spotlight

Congratulations to J. D. Crawford Prize winner Igor Mezić and Jürgen Moser Lecture prize winner Lai-Sang Young!

Mentoring Session at DS19

The SIAM Activity Group on Dynamical Systems hosted a mentoring session at DS19.

MGB-SIAM Early Career Fellows

Congratulations to the Mathematically Gifted & Black (MGB) SIAM Early Career Fellows!

Minimizing the Length — and the Algebra

Mark Levi provides an interesting mechanical solution to a common elementary calculus problem.

Move over, 3 Rs: Make room for the 3 Cs

Thoughts on teaching professional skills

Emphasizing the three Cs of communication, critical thinking, and collaboration along with discipline-specific skills can better prepare our students for a wide range of employment opportunities. 

Multiphase Solutions to the Vector Allen-Cahn Equation

Bates, Fusco, and Smyrnelis present a systematic study of entire symmetric solutions of the vector Allen-Cahn equation using a variational approach based on a mapping property of the parabolic vector Allen-Cahn equation and on a point-wise estimate for vector minimizers. The relevance of the the entire solutions  to tiling of space observed in physical experiments is also discussed.

Nanoptera in Nonlinear Woodpile Chains

Guo Deng from Macquarie University in Australia talks about nonlinearity of woodpile chains.

Nearly Three Decades at Snowbird: The Iconic Venue and its Influence on Dynamical Systems at SIAM

Hans Kaper and Marty Golubitsky reflect on the history of Dynamical Systems at Snowbird as the conference moves to Portland in 2021.

Neumann Domains of Equilibrium States

Graham Cox from the Department of Mathematics and Statistics, Memorial University, St. John's, Canada describes the interplay between dynamical systems and geometry that arises in the study of Neumann boundary value problems.

New Algorithm Mimics Electrosensing in Fish

Jillian Kunze describes recent work by Lorenzo Baldassari and Andrea Scapin on a model of how weakly electric fish navigate through their environments.

New American Physical Society Fellows and Prize Winners Include Dynamical-Systems Experts

DSWeb Congratulates the 2017 APS Fellows and the Spring 2018 APS Prize Winners

A congratulations to all the fellows and prize winners who work on dynamical systems.

New Bridges Between Deep Learning and Partial Differential Equations

Lars Ruthotto describes the interplay and exchange of knowledge between deep neural networks and partial differential equations.