On the transversally isotropic pressure effect on avascular tumor growth1. (28th May 2013)

• Record Type: Journal Article
• Authors: Kariotou, Foteini; Vafeas, Panayiotis; Barbatis, Gerassimos; Stratis, Ioannis
• Is Part Of: Mathematical methods in the applied sciences. Volume 37:Number 2(2014:Jan. 30)
• Page Start: 277
• Page End: 282
• Publication Date: 2013-05-28
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.2789
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma2789-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma2789-para-0002">A typical mathematical formulation for describing avascular tumor growth is considered in the present work, in the frame of oblate spheroidal geometry focusing on the kind of exterior conditions under which such a geometrical structure is attainable. It turns out that given a transversally isotropic pressure field, an avascular tumor can exhibit an oblate spheroidal growth, only if the nutrient supply is provided in a specific form related to the pressure and following the tumor evolution. A geometrical reduction to the prolate geometry and recovering of existing results for the sphere are included. Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>