A cellular automaton model of early tumor growth and invasion: The effects of native tissue vascularity and increased anaerobic tumor metabolism

Journal of Theoretical Biology

Volumn 213, Issue 3, 2001, Pages 315-331

  Patel, Aalpen A ^a   Gawlinski, Edward T ^b   Lemieux, Susan K ^c   Gatenby, Robert A ^d  

^a UNIVERSITY OF TEXAS MD ANDERSON CANCER CENTER   (United States)

^b Temple University   (United States)

^c WEST VIRGINIA UNIVERSITY SCHOOL OF MEDICINE   (United States)

^d UNIVERSITY OF ARIZONA COLLEGE OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PROTON;

MODEL;

ANAEROBIC METABOLISM; ARTICLE; AUTOMATION; CANCER INVASION; CELL DEATH; DIFFUSION; MATHEMATICAL ANALYSIS; MICROVASCULATURE; MODEL; PH MEASUREMENT; PRIORITY JOURNAL; SIMULATION; TUMOR CELL; TUMOR GROWTH; TUMOR VOLUME; VASCULARIZATION;

EID: 0035824717     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.2001.2385     Document Type: Article

References (84)

1. Metastases in carcinoma: Analysis of 1000 autopsied cases
2. Continuous and discrete mathematical modes of tumor-induced angiogenesis
3. The exchanger is constitutively activated in P19 embryonal carcinoma cells, but not in a differentiated derivative. Responsiveness to growth factors and other stimuli
4. Growth of non-necrotic tumors in the presence of inhibitors
5. Variation in tumor growth rates and metabolism with oxygen concentration, glucose concentration, and extracellular pH
6. Multiple genetic alterations in hamster pancreatic ductal adenocarcinomas
7. Mathematical modeling, simulation and prediction of tumor induced angiogenesis
8. Capillary permeability to small solutes
9. Selective cell culture of primary breast cancer
10. Mathematical modeling of the intravenous glucose tolerance test
11. Metastatic renal cell carcinoma (RCC): Spontaneous regression, long-term survival and late recurrence
12. Analysis, forecasting and control of three-dimensional tumor growth and treatment
13. Recent progress in modeling and simulation of three-dimensional tumor growth and treatment
14. Cellular oxygen utilization and radiation response of V-79 spheroids
15. Cellular automata approaches to biological modeling
16. Clonal analysis of human colorectal rumors
17. Biological diversity in metastatic neoplasm: Origins and implications
18. Induction of angiogenesis during the transition from hyperplasia to neoplasia
19. The role of angiogenesis in tumor growth
20. Spontaneous disappearance of pulmonary metastasis secondary to renal cell carcinoma after nephrectomy. Presentation of a case and review of the literature
21. Oxygen distribution is squamous cell carcinoma metastases and its relation to the outcome of radiation therapy
22. Population ecology issues in tumor growth
23. The potential role of transformation-induced metabolic changes in tumor-host interaction
24. A reaction-diffusion model of cancer invasion
25. 31P-MRS measurements of extracellular pH of tumors using 3-aminopropylphosphonate
26. Are cancer cells acidic?
27. Relationship between oxygen and glucose consumption by transplanted tumors in vivo
28. Effects of systemic acidification of mice with Sarcoma 180
29. The role of positron emission tomography in oncology and other whole-body applications
30. 2 gradients in solid tumors in vivo: High-resolution measurements reveal a lack of correlation
31. Vessel cooption, regression, and growth in tumors mediated by angiopoietins and VEGF
32. Extracranial head and neck tumors: PET imaging with 2-[F-18]-fluoro-2-deoxy-D-glucose
33. A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy
34. A mathematical model of the stress induced during avascular tumor growth
35. pH distributions in spontaneous and isotransplanted rat tumours
36. Glucose uptake, lactate release, ketone body turnover, metabolic micromilieu and pH distributions in human breast cancer xenografts in nude rats
37. Simulated brain tumor growth dynamics using a three-dimensional cellular automaton
38. Cellular automaton of idealized brain tumor growth dynamics
39. A dependent Cl-HCO3 exchange in N1H-3T3 fibroblasts
40. Induction of 103-kDa gelatinase type IV collagenase by acidic culture conditions in mouse metastatic melanoma cell lines
41. Secondary tumors of the genito-urinary tract
42. A case of spontaneous disappearance of pulmonary metastasis of renal cell carcinoma following nephrectomy
43. Normal reference laboratory values
44. Implications of acidic tumor microenvironment for neoplastic growth and cancer treatment: A computer analysis
45. Physicochemical microenvironment as key regulator for tumor microevolution, invasion and immune response: Targets for endocytotechnological approaches in cancer treatment
46. Upregulation of vascular endothelial growth factor by cobalt chloride-simulated hypoxia is mediated by persistent induction of cyclooxybenase-2 in a metastatic human prostate cancer cell line
47. Simulation of vessel morphogenesis using cellular automata
48. Noninvasive measurement of interstitial pH profiles in normal and neoplastic tissue using fluorescent ration imaging microscopy
49. Analysis of growth of multicellular tumor spheroids by mathematical models
50. Oxygen tension in multicell spheroids of two cell lines
51. Metabolic imaging in micro-regions of tumors and normal tissues with bioluminescense and photon counting
52. Metastatic tumors in the kidney
53. A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis
54. A cellular automaton model of tumor growth
55. Numerical interactions of random and directed motility during cancer invasion
56. Non-small-cell lung carcinoma tumor growth without morphological evidence of neo-angiogenesis
57. A cellular automaton model of cancerous growth
58. Cell production rates in human tissues and tumours and their significance. Part II: Clinical data
59. Pericellular pH affects distribution and secretion of cathepsin B in malignant cells
60. Breast carcinoma: Vascular density determined using CD105 antibody correlates with tumor prognosis
61. A mathematical analysis of a model for capillary network formation in the absence of endothelial cell proliferation
62. Mammalian hexokinases and their abnormal expression in cancer
63. Fractal tumor stromal border in a nonequilibrium growth model
64. Cellular automaton simulation of tumor growth - Equivocal relationships between simulation parameters and morphologic pattern features
65. Computer simulation of tumor cell invasion by a stochastic growth model
66. Metabolic consequences of a reversed pH gradient in rat tumors
67. Vascular endothelial growth factor induced by hypoxia may mediate hypoxia-initiated angiogenesis
68. Induction of vascular endothelial growth factor expression by hypoxia and by glucose deficiency in multicell spheroids: Implications for tumor angiogenesis
69. Radiation response of multicell spheroids - An in vitro tumor model
70. Growth and cellular characteristics of multicell spheroids
71. Acid pH in tumors and its potential for therapeutic exploitation
72. Blood flow, oxygen and nutrient supply, and metabolic microenvironment of human tumors: A review
73. Secondary carcinomas of the kidney
74. High lactate levels predict likelihood of metastases, tumor recurrence and restricted patient survival in human cervical cancers
75. Mathematical modeling of avascular tumor growth
76. Mathematical modeling of avascular tumor growth II: Modeling growth saturation
77. Aberrant expression and function of gap junctions during carcinogenesis
78. 18F]fluoro-D-glucose in liver metastases from colon cancer
79. Spontaneous regression of lung metastasis of renal cell carcinoma: A case report