The Avascular Tumour Growth in the Presence of Inhomogeneous Physical Parameters Imposed from a Finite Spherical Nutritive Environment
Joint Authors
Vafeas, Panayiotis
Kariotou, Foteini
Source
International Journal of Differential Equations
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-06
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
A well-known mathematical model of radially symmetric tumour growth is revisited in the present work.
Under this aim, a cancerous spherical mass lying in a finite concentric nutritive surrounding is considered.
The host spherical shell provides the tumor with vital nutrients, receives the debris of the necrotic cancer cells, and also transmits to the tumour the pressure imposed on its exterior boundary.
We focus on studying the type of inhomogeneity that the nutrient supply and the pressure field imposed on the host exterior boundary, can exhibit in order for the spherical structure to be supported.
It turns out that, if the imposed fields depart from being homogeneous, only a special type of interrelated inhomogeneity between nutrient and pressure can secure the spherical growth.
The work includes an analytic derivation of the related boundary value problems based on physical conservation laws and their analytical treatment.
Implementations in cases of special physical interest are examined, and also existing homogeneous results from the literature are fully recovered.
American Psychological Association (APA)
Kariotou, Foteini& Vafeas, Panayiotis. 2012. The Avascular Tumour Growth in the Presence of Inhomogeneous Physical Parameters Imposed from a Finite Spherical Nutritive Environment. International Journal of Differential Equations،Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-451955
Modern Language Association (MLA)
Kariotou, Foteini& Vafeas, Panayiotis. The Avascular Tumour Growth in the Presence of Inhomogeneous Physical Parameters Imposed from a Finite Spherical Nutritive Environment. International Journal of Differential Equations No. 2012 (2012), pp.1-25.
https://search.emarefa.net/detail/BIM-451955
American Medical Association (AMA)
Kariotou, Foteini& Vafeas, Panayiotis. The Avascular Tumour Growth in the Presence of Inhomogeneous Physical Parameters Imposed from a Finite Spherical Nutritive Environment. International Journal of Differential Equations. 2012. Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-451955
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451955