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Structure and Growth of Tumors: The Effect of Cartesian, Cylindrical, and Spherical Geometries
Author(s) -
SAEED IBRAHIM M.
Publication year - 1998
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1998.tb10147.x
Subject(s) - cartesian coordinate system , spherical geometry , spherical coordinate system , capsule , geometry , physics , spherical model , population , mechanics , classical mechanics , mathematics , geology , medicine , condensed matter physics , paleontology , environmental health
We present results of numerical simulations of a mathematical model simulating mass transfer in the development of a tumor, resulting in its encapsulation and lobulation. A modified generation term that reflects the population pressure on growth leads to nodular tumor growth. Simulations have been carried out in one dimensional Cartesian, cylindrical, and spherical geometries. Important differences between the three cases have been found. Simulation results in spherical geometry suggest the lobes near the center of the tumor to be larger than those near the capsule wall.