Multiphase Mechanics of Capsule Formation in Tumors

[+] Author and Article Information
S. R. Lubkin

Biomathematics Program, North Carolina State University, Raleigh, NC 27695-8203e-mail: lubkin@eos.ncsu.edu

T. Jackson

Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, MN 55455

J Biomech Eng 124(2), 237-243 (Mar 29, 2002) (7 pages) doi:10.1115/1.1427925 History: Received October 06, 1999; Revised August 09, 2001; Online March 29, 2002
Copyright © 2002 by ASME
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Grahic Jump Location
Formation of tumor by expansive growth only. Simulation of spherically symmetric nondimensional Eqs. (2627282930), with dimensional parameters θ0=0.2,φ=1013 kg/m3-s,μ=λ=105 kg/m-s,P0=104 Pa,a=0,l/k=4wk,L=5×10−3 m. (See Table 1 for expected range of values.) β=0.05,γ=2×10−5. Contours run from 0–12 wk except (c,d) 0–0.5 wk. (a,c,e,f ) Density of tumor (θc, left) and normal (θ(1−c), right) tissue during tumor growth. (b,d,f,h) Nondimensional interstitial pressure Pw/P0. Lengths are nondimensional, r/L.(a,b)a=h=0. No thirst or contractility. (c,d)a=102 Pa,h=0. Weak contractility but no thirst. (e,f )a=0,h=104 Pa. Thirst but no contractility. (g,h)a=103 Pa,h=104 Pa. Thirst and contractility.



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