Numerical schemes for a size-structured cell population model with equal fission

DOI10.1016/j.mcm.2009.05.023zbMath1185.35294OpenAlexW1964773236MaRDI QIDQ969926

M. A. López-Marcos, Juan C. López-Marcos, Óscar Angulo, Luis M. Abia

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.05.023

zbMATH Keywords

convergence analysisnumerical simulationcell population modelsize-structured populationstable size distribution

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Cell biology (92C37)

Related Items (16)

Analysis of an efficient integrator for a size-structured population model with a dynamical resource ⋮ Age-structured Delayed SIPCV Epidemic Model of HPV and Cervical Cancer Cells Dynamics II. Convergence of Numerical Solution ⋮ Age-structured delayed SIPCV epidemic model of HPV and cervical cancer cells dynamics I. Numerical method ⋮ Splitting-particle methods for structured population models: Convergence and applications ⋮ A second-order method for the numerical integration of a size-structured cell population model ⋮ Structured models of cell migration incorporating molecular binding processes ⋮ Mass structured systems with boundary delay: oscillations and the effect of selective predation ⋮ Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials ⋮ Numerical analysis of a cell dwarfism model ⋮ High-order IMEX-WENO finite volume approximation for nonlinear age-structured population model ⋮ Finite range method of approximation for balance laws in measure spaces ⋮ Oscillations in a molecular structured cell population model ⋮ Chebyshev cardinal functions for solving age-structured population models ⋮ A structured model for the spread of \textit{Mycobacterium marinum}: foundations for a numerical approximation scheme ⋮ The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures ⋮ A numerical method for nonlinear age-structured population models with finite maximum age

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the stability of the cell size distribution
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• A size structured model of cell dwarfism
• The application of an age-structured model with unbounded mortality to demography
• Statistics and dynamics of procaryotic cell populations
• A Fully Discretized Approximation Scheme for Size-Structured Population Models
• Probabilistic Properties of Deterministic Systems
• On the inverse problem for a size-structured population model

This page was built for publication: Numerical schemes for a size-structured cell population model with equal fission