Steady distribution of the incremental model for bacteria proliferation
DOI10.3934/nhm.2019008zbMath1428.35623arXiv1803.04950OpenAlexW3099275334WikidataQ128509494 ScholiaQ128509494MaRDI QIDQ2328347
Publication date: 10 October 2019
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.04950
eigenproblemintegral equationtransport equationcell divisionstructured populationslong-time asmptotics
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) General topics in linear spectral theory for PDEs (35P05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Integral operators (45P05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral analysis of semigroups and growth-fragmentation equations
- Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations
- How does variability in cell aging and growth rates influence the malthus parameter?
- Dynamics of populations structured by internal variables
- Functional analysis, Sobolev spaces and partial differential equations
- Irreducible compact operators
- Steady size distributions for cells in one-dimensional plant tissues
- Exponential decay for the fragmentation or cell-division equation
- General entropy equations for structured population models and scattering
- Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts
- Statistical estimation of a growth-fragmentation model observed on a genealogical tree
- General relative entropy inequality: an illustration on growth models
- Analysis of a Population Model Structured by the Cells Molecular Content
- EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL
- An Operator-Theoretic Formulation of Asynchronous Exponential Growth
- STABILITY IN A NONLINEAR POPULATION MATURATION MODEL