@inbook{1e2f304656674525bc91cc2c377fd307,
title = "Individual and Population Approaches for Calibrating Division Rates in Population Dynamics: Application to the Bacterial Cell Cycle",
abstract = "Modelling, analysing and inferring triggering mechanisms in population reproduction is fundamental in many biological applications. It is also an active and growing research domain in mathematical biology. In this chapter, we review the main results developed over the last decade for the estimation of the division rate in growing and dividing populations in a steady environment. These methods combine tools borrowed from PDE's and stochastic processes, with a certain view that emerges from mathematical statistics. A focus on the application to the bacterial cell division cycle provides a concrete presentation, and may help the reader to identify major new challenges in the field.",
keywords = "Malthusian parameter, adder model, asymptotic behaviour, bacterial growth, cell division cycle, eigenvalue problem, growth-fragmentation equation, growth-fragmentation process, incremental model, inverse problem, kernel density estimation, long-term dynamics, nonparametric statistical inference, renewal equation, renewal process",
author = "Marie Doumic and Marc Hoffmann",
note = "Publisher Copyright: {\textcopyright} 2023 World Scientific Publishing Company.",
year = "2023",
month = feb,
day = "1",
doi = "10.1142/9789811266140\_0001",
language = "English",
series = "Lecture Notes Series, Institute for Mathematical Sciences",
publisher = "World Scientific",
pages = "1--81",
booktitle = "Lecture Notes Series, Institute for Mathematical Sciences",
}