Nature Research Intelligence Topics Topic summaries Mathematical Sciences Applied Mathematics Calculus of Variations, Mathematical Aspects of Systems Theory and Control Theory Calculus of variations ...

This study aims to understand the operational principles of biological systems, which consist of hierarchically interconnected molecules, cells, and tissues. Constructing a mathematical framework that ...

Why does cancer sometimes recur after chemotherapy? Why do some bacteria survive antibiotic treatment? In many cases, the answer appears to lie not in genetic differences, but in biological noise - ...

Integrable systems, a cornerstone in mathematical physics, are distinguished by the existence of an infinite number of conserved quantities and exact solution methods. These systems, ranging from the ...

Representation theory was initially dismissed. Today, it’s central to much of mathematics. When representation theory emerged in the late 19th century, many mathematicians questioned its worth. In ...