126 citations · 619 across the 30 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math.AP2010★ 19 cited
Self-similarity in a General Aggregation-Fragmentation Problem ; Application to Fitness Analysis
Vincent Calvez, Marie Doumic Jauffret, Pierre Gabriel
We consider the linear growth and fragmentation equation with general coefficients. Under suitable conditions, the first eigenvalue represents the asymptotic growth rate of solutio…
math.AP2010★ 13 cited
The Shape of the Polymerization Rate in the Prion Equation
Pierre Gabriel
We consider a polymerization (fragmentation) model with size-dependent parameters involved in prion proliferation. Using power laws for the different rates of this model, we recove…
math.AP2010★ 9 cited
High-order WENO scheme for Polymerization-type equations
Pierre Gabriel, Léon Matar Tine
Polymerization of proteins is a biochimical process involved in different diseases. Mathematically, it is generally modeled by aggregation-fragmentation-type equations. In this pap…