Protein misfolding refers to a process where proteins become structurally abnormal and lose
their specific 3-dimensional spatial configuration. The histopathological presence of …

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 …

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 …

How do the normal prion protein (PrPC) and infectious prion protein (PrPSc) populations
interact in an infected host? To answer this question, we analyse the behavior of the two …

According to the prion hypothesis, proteins may act in atypical roles as genetic elements of
infectivity and inheritance by undergoing self-replicating changes in physical state. While the …

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 study two population models describing the dynamics of interacting neurons, initially
proposed by Pakdaman et al (2010 Nonlinearity 23 55–75) and Pakdaman et al (2014 J …

Prions are a special class of proteins capable of adopting multiple (misfolded)
conformations, some of which have been associated with fatal diseases in mammals such …

A mathematical model for the dynamics of prion proliferation is analyzed. The model
involves a system of three ordinary differential equations for the normal prion forms, the …