Quasi steady state approximation of the small clusters in Becker-D\" oring equations leads to boundary conditions in the Lifshitz-Slyozov limit

J Deschamps, E Hingant, R Yvinec - arXiv preprint arXiv:1605.08984, 2016 - arxiv.org
This papers addresses the connection between two classical models of phase transition
phenomena describing different stages of the growth of clusters. The Becker-D\" oring model …

Estimation from moments measurements for amyloid depolymerisation

A Armiento, M Doumic, P Moireau, H Rezaei - Journal of theoretical biology, 2016 - Elsevier
Estimating reaction rates and size distributions of protein polymers is an important step for
understanding the mechanisms of protein misfolding and aggregation, a key feature for …

Information content in data sets for a nucleated-polymerization model

HT Banks, M Doumic, C Kruse, S Prigent… - Journal of biological …, 2015 - Taylor & Francis
We illustrate the use of statistical tools (asymptotic theories of standard error quantification
using appropriate statistical models, bootstrapping, and model comparison techniques) in …

Information content in data sets: A review of methods for interrogation and model comparison

HT Banks, ML Joyner - Journal of Inverse and Ill-Posed Problems, 2018 - degruyter.com
In this review we discuss methodology to ascertain the amount of information in given data
sets with respect to determination of model parameters with desired levels of uncertainty. We …

From a stochastic Becker-Döring model to the Lifschitz-Slyozov equation with boundary value

R Yvinec, J Deschamps, E Hingant - 2014 - hal.science
We deal with the convergence in law of the stochastic Becker-Döring process to the Lifschitz-
Slyozov partial differential equation, up to a small scaling parameter. The former is a …

[引用][C] Estimation from Moments Measurements for Amyloid Degradation

A Armiento, M Doumic, P Moireau, H Rezaei - 2016