Growth of nonnecrotic tumors in the presence and absence of inhibitors

Mathematical Biosciences

Volumn 130, Issue 2, 1995, Pages 151-181

  Byrne, H M ^a   Chaplain, M A J ^a  

^a UNIVERSITY OF BATH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CANCER INHIBITION; CELL DEATH; CELL PROLIFERATION; EVOLUTION; MATHEMATICAL ANALYSIS; NUTRIENT; SIMULATION; TUMOR GROWTH; TUMOR NECROSIS; TUMOR VOLUME;

CELL DIVISION; GROWTH INHIBITORS; HUMAN; MATHEMATICS; MODELS, BIOLOGICAL; NECROSIS; NEOPLASMS;

EID: 0028790729     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/0025-5564(94)00117-3     Document Type: Article

References (35)

1. A simplified mathematical model of tumor growth
2. A mathematical model of tumor growth. II. Effects of geometry and spatial uniformity on stability
3. A mathematical model of tumor growth. III. Comparison with experiment
4. Corrigendum: A mathematical model of tumor growth by diffusion
5. Diffusion regulated growth characteristics of a spherical prevascular carcinoma
6. Models for the growth of a solid tumour by diffusion
7. Mathematical model of prevascular growth of a spherical carcinoma
8. Analysis of cellular interactions in density-dependent inhibition of 3T3 cell proliferation
9. Regulation of growth saturation and development of necrosis in EMT6/Ro multicellular spheroids by the glucose and oxygen supply
10. Proliferative and clonogenic heterogeneity of cells from EMT6/Ro multicellular spheroids induced by the glucose and oxygen supply
11. Radiation response of multicell spheroids: An in vitro tumour model
12. The kinetics of tumour cell proliferation and radiotherapy
13. Self-regulation of growth in three dimensions
14. Mathematical models for the growth of solid tumours and the tip morphogenesis of Acetabularia
15. Tumor angiogenesis
16. The vascularization of tumors
17. Shrinkage necrosis: A distinct mode of cellular death
18. Apoptosis A basic biological phenomenon with wide-ranging implications in tissue kinetics
19. Cell cycle kinetics in an in vitro tumour model
20. Apoptosis as a volume loss mechanism in mathematical models of solid tumor growth
21. On the concentration profile of a growth inhibitory factor in multicell spheroids
22. Cell migration in multicell spheroids: swimming against the tide
23. Multicell spheroids as a model for cell kinetic studies
24. In situ oxygen consumption rates of cells in V-79 multicellular spheroids during growth
25. Regrowth of cells from multicell tumour spheroids
26. Distributions of oxygen, nutrient, and metabolic waste concentrations in multicellular spheroids and their dependence on spheroid parameters
27. A model for the growth of multicell spheroids
28. Multicellular spheroids: A review on cellular aggregates in cancer research
29. Growth of multicell spheroids as a model of nodular carcinomas
30. Growth and cellular characteristics of multicell spheroids
31. Cell and Environment interactions in tumor microregions: the multicell spheroid model
32. Cell kinetic characteristics in different parts of multicellular spheroids of human origin