NONLINEAR DIFFUSION OF A GROWTH-INHIBITORY FACTOR IN MULTICELL SPHEROIDS

被引:29
作者
CHAPLAIN, MAJ [1 ]
BENSON, DL [1 ]
MAINI, PK [1 ]
机构
[1] UNIV OXFORD,INST MATH,CTR MATH BIOL,OXFORD,ENGLAND
关键词
D O I
10.1016/0025-5564(94)90029-9
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonlinearity was assumed in the production term. The results of the new model are compared with those of previous models and with experimental data.
引用
收藏
页码:1 / 13
页数:13
相关论文
共 44 条
[1]   ANALYSIS OF CELLULAR INTERACTIONS IN DENSITY-DEPENDENT INHIBITION OF 3T3-CELL PROLIFERATION [J].
ADAM, G ;
STEINER, U ;
MAIER, H ;
ULLRICH, S .
BIOPHYSICS OF STRUCTURE AND MECHANISM, 1982, 9 (02) :75-82
[3]   A MATHEMATICAL-MODEL OF TUMOR-GROWTH .3. COMPARISON WITH EXPERIMENT [J].
ADAM, JA .
MATHEMATICAL BIOSCIENCES, 1987, 86 (02) :213-227
[4]  
ADAM JA, 1989, MATH BIOSCI, V94, P155
[5]  
BRITTON NF, 1992, MATH BIOSCI, V113, P77
[6]   EXISTENCE OF 2 CHALONE-LIKE SUBSTANCES IN INTESTINAL EXTRACT FROM ADULT NEWT, INHIBITING EMBRYONIC INTESTINAL CELL-PROLIFERATION [J].
BRUGAL, G ;
PELMONT, J .
CELL AND TISSUE KINETICS, 1975, 8 (02) :171-187
[7]  
BRUMMER F, 1982, EUR J CELL BIOL, V27, P108
[8]  
Bullough W S, 1971, Symp Soc Exp Biol, V25, P255
[9]  
BURTON AC, 1966, GROWTH, V3, P157
[10]  
CHAPLAIN MAJ, 1991, IMA J MATH APPL MED, V8, P191