The Smoluchowski coalescence equation is a mean-field model for the growth of particles
by successive mergers, and has been recently studied by deterministic and probabilis-tic …

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

In recent years kinetic theory has developed in many areas of the physical sciences and
engineering, and has extended the borders of its traditional fields of application. New …

We introduce and analyze several aspects of a new model for cell differentiation. It assumes
that differentiation of progenitor cells is a continuous process. From the mathematical point …

Connections between two classical models of phase transitions, the Becker–Döring (BD)
equations and the Lifshitz–Slyozov–Wagner (LSW) equations, are investigated …

We consider a size-structured model for cell division and address the question of
determining the division (birth) rate from the measured stable size distribution of the …

Protein polymerization consists in the aggregation of single monomers into polymers that
may fragment. Fibrils assembly is a key process in amyloid diseases. Up to now, protein …

We consider the Becker-Döring equations for large times. It is well-known [2] that if the total
density of monomers exceeds a critical value, the excess density is contained in larger and …

Becker and Dörimy introduced their equations in 1935 to describes nucleation in
supersaturated vapors. Since then, these equations have been popularized to a wide range …

This paper investigates the connection between discrete and continuous models describing
prion proliferation. The scaling parameters are interpreted on biological grounds and we …