The concentrations of measure phenomena were discovered as the mathematical background
to statistical mechanics at the end of the nineteenth/beginning of the twentieth century …

The concept of the slow invariant manifold is recognized as the central idea underpinning a
transition from micro to macro and model reduction in kinetic theories. We present the …

Biochemical networks are used in computational biology, to model mechanistic details of
systems involved in cell signaling, metabolism, and regulation of gene expression. Parametric …

In 1901, Karl Pearson [1] explained to the scientific community that the problem of data
approximation is (i) important and (ii) nice, and (iii) differs from the regression problem. He …

An accurate estimate of the theoretical power limit of turbines in free fluid flows is important
because of growing interest in the development of wind power and zero-head water power …

… Alexander Gorban … This task makes up the central core of the very remarkable
monograph by Gorban and Karlin." … Gorban: Full Professor in Modeling & Simulation …

This book has been written by a group of mathematicians and chemists whose common
interest is in the complex dynamics of catalytic reactions. Based on developments in …

In this paper, we review the construction of low-dimensional manifolds of reduced description
for equations of chemical kinetics from the standpoint of the method of invariant manifold (…

Single-cell transcriptomic assays have enabled the de novo reconstruction of lineage
differentiation trajectories, along with the characterization of cellular heterogeneity and state …

The entropy maximum approach to constructing equilibria in lattice kinetic equations is revisited.
For a suitable entropy function, we derive explicitly the hydrodynamic local equilibrium, …