Persistent homology studies the evolution of k-dimensional holes along a nested sequence
of simplicial complexes (called a filtration). The set of bars (ie intervals) representing birth …

Higher-order networks encode the many-body interactions existing in complex systems,
such as the brain, protein complexes, and social interactions. Simplicial complexes are …

Biologists, climate scientists, and economists all rely on models to move their work forward.
In this book, Stephen M. Downes explores the use of models in these and other fields to …

Topology is the branch of mathematics that studies shapes and maps among them. From the
algebraic definition of topology a new set of algorithms have been derived. These algorithms …

Though it goes without saying that linear algebra is fundamental to mathematical biology,
polynomial algebra is less visible. In this article, we will give a brief tour of four diverse …

The recent advances in sensing technologies, embedded systems, and wireless
communication technologies, make it possible to develop smart systems to monitor human …

This Article describes a novel geometric methodology for analyzing free energy and kinetics
of assembly driven by short-range pair-potentials in an implicit solvent and provides a proof …

The combinatorics of RNA plays a central role in biology. Mathematical biologists have
several commonly used models for RNA: words in a fixed alphabet (representing the primary …

Quantum computers promise to unlock immense computational power far beyond
conventional computers. Yet, their potential is hindered by instabilities, causing …

Рассмотрена задача получения точных оценок числа реконструкций для слов над
бинарным алфавитом. Подслова различной длины из заданного множества …