Zobrazeno 1 - 10
of 166
pro vyhledávání: '"Doumic, Marie"'
To provide a mechanistic explanation of sustained {then} damped oscillations observed in a depolymerisation experiment, a bi-monomeric variant of the seminal Becker-D\"oring system has been proposed in \cite{DFMR}. When all reaction rates are constan
Externí odkaz:
http://arxiv.org/abs/2407.04320
Autor:
Doumic, Marie
Publikováno v:
Journ{\'e}es Equations aux D{\'e}riv{\'e}es Partielles, Jun 2023, Aussois (France), France
Shrinkage of large particles, either through depolymerisation (i.e. progressive shortening) or through fragmentation (breakage into smaller pieces) may be modelled by discrete equations, of Becker-D\''oring type, or by continuous ones. In this note,
Externí odkaz:
http://arxiv.org/abs/2407.04312
Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems are quadratic, written under the form of transport equations with a no
Externí odkaz:
http://arxiv.org/abs/2306.01777
The present paper provides a new representation of the solution to the fragmentation equation as a power series in the Banach space of Radon measures endowed with the total variation norm. This representation is used to justify how the fragmentation
Externí odkaz:
http://arxiv.org/abs/2112.10423
Autor:
Doumic, Marie, Hoffmann, Marc
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
Externí odkaz:
http://arxiv.org/abs/2108.13155
Publikováno v:
In Journal of Differential Equations 25 April 2024 389:228-256
To model the morphogenesis of rod-shaped bacterial micro-colony, several individual-based models have been proposed in the biophysical literature. When studying the shape of micro-colonies, most models present interaction forces such as attraction or
Externí odkaz:
http://arxiv.org/abs/2008.04532
Aggregation of ubiquitinated cargo by oligomers of the protein p62 is an important preparatory step in cellular autophagy. In this work a mathematical model for the dynamics of these heterogeneous aggregates in the form of a system of ordinary differ
Externí odkaz:
http://arxiv.org/abs/2004.07926
Given nonstationary data, one generally wants to extract the trend from the noise by smoothing or filtering. However, it is often important to delineate a third intermediate category, that we call high frequency (HF) features: this is the case in our
Externí odkaz:
http://arxiv.org/abs/1911.12719
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 75, Pp 1-1 (2023)
Externí odkaz:
https://doaj.org/article/d9cc93cef2794d48867ed4c28cf30e1b