Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a
comprehensive exposition of the mathematical analysis of coagulation-fragmentation …

Background The 5XFAD early onset mouse model of Alzheimer's disease (AD) is gaining
momentum. Behavioral, electrophysiological and anatomical studies have identified age …

The aim of this paper is twofold:(1) On the one hand, the paper revisits the spectral analysis
of semigroups in a general Banach space setting. It presents some new and more general …

We consider non‐conservative positive semigroups and obtain necessary and sufficient
conditions for uniform exponential contraction in weighted total variation norm. This ensures …

We raise the issue of estimating the division rate for a growing and dividing population
modelled by a piecewise deterministic Markov branching tree. Such models have broad …

We derive analytical steady-state cell size distributions for size-controlled cells in single-
lineage experiments, such as the mother machine, which are fundamentally different from …

We study the long-time behavior of the growth-fragmentation equation, a nonlocal linear
evolution equation describing a wide range of phenomena in structured population …

We consider a particle system in continuous time, a discrete population, with spatial motion,
and nonlocal branching. The offspring's positions and their number may depend on the …

Motivated by a model for neural networks with adaptation and fatigue, we study a
conservative fragmentation equation that describes the density probability of neurons with …

The growth-fragmentation equation describes a system of growing and dividing particles,
and arises in models of cell division, protein polymerisation and even telecommunications …