Time Delay In Necrotic Core Formation

Marek Bodnar; Urszula Foryś

doi:10.3934/mbe.2005.2.461

Article Contents

2005, Volume 2, Issue 3: 461-472. Doi: 10.3934/mbe.2005.2.461

This issue Previous Article Interstitial Pressure And Fluid Motion In Tumor Cords Next Article Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis

Time Delay In Necrotic Core Formation

Marek Bodnar^1, and
Urszula Foryś^1,

1.
University of Warsaw, Faculty of Mathematics, Informatics and Mechanics, Institute of Applied Mathematics and Mechanics, Banacha 2, 02-097 Warsaw

Received: December 31, 2004

Revised: June 30, 2005

Published: July 2005

Abstract Related Papers Cited by

Abstract

A simple model of avascular solid tumor dynamics is studied in the paper. The model is derived on the basis of reaction-diffusion dynamics and mass conservation law. We introduce time delay in a cell proliferation process. In the case studied in this paper, the model reduces to one ordinary functional-differential equation of the form that depends on the existence of necrotic core. We focus on the process of this necrotic core formation and the possible influence of delay on it. Basic mathematical properties of the model are studied. The existence, uniqueness and stability of steady state are discussed. Results of numerical simulations are presented.

Keywords:

Mathematics Subject Classification: 34D05, 34K20, 34K60.

Citation:

Article Metrics

HTML views() PDF downloads(48) Cited by(0)

Time Delay In Necrotic Core Formation

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Time Delay In Necrotic Core Formation

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content