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 …

Although its usefulness and possibility of the well-known definition of the basic reproduction
number R 0 for structured populations by Diekmann, Heesterbeek and Metz (J Math Biol 28 …

We consider a linear integro-differential equation which arises to describe both aggregation-
fragmentation processes and cell division. We prove the existence of a solution (λ,, ϕ) to the …

Abstract Nonlinear Noisy Leaky Integrate and Fire (NNLIF) models for neurons networks can
be written as Fokker-Planck-Kolmogorov equations on the probability density of neurons, the …

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 provide quantitative estimates in total variation distance for positive semigroups, which
can be non-conservative and non-homogeneous. The techniques relies on a family of …

We study the dynamics of assemblies of interacting neurons. For large fully connected
networks, the dynamics of the system can be described by a partial differential equation …