A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model-Reference-Cited by-同舟云学术

A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model

Published:2015 Issue: Volume:2015 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Angulo O.¹,López-Marcos J. C.²,López-Marcos M. A.²

Affiliation:

1. Departamento de Matemática Aplicada, ETSIT, Universidad de Valladolid, Paseo de Belén 15, 47011 Valladolid, Spain

2. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Valladolid, Paseo de Belén 7, 47011 Valladolid, Spain

Abstract

We consider the numerical integration of a size-structured cell population model. We propose a new second-order numerical method to attain its solution. The scheme is analyzed and the optimal rate of convergence is derived. We show experimentally the predicted accuracy of the scheme.

Funder

Ministerio de Economía y Competitividad

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2015/549168.pdf

Reference20 articles.

1. Lecture Notes in Biomathematics,1986

2. An Introduction to Structured Population Dynamics

3. Oscillations in a molecular structured cell population model

4. Morphologically-structured models of growing budding yeast populations

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