Correlation between animal and mathematical models for prostate cancer progression

Computational and Mathematical Methods in Medicine

Volumn 10, Issue 4, 2009, Pages 241-252

  Jackiewicz, Z ^a   Jorcyk, C L ^b   Kolev, M ^c   Zubik Kowal, B ^b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b BOISE STATE UNIVERSITY   (United States)

^c UNIVERSITY OF WARMIA AND MAZURY IN OLSZTYN   (Poland)

Author keywords

Animal models for prostate cancer; Growth rates in vivo; Growth rates of Pr cell lines in vitro; Mathematical model; Numerical simulations; Prostate tumour progression

Indexed keywords

ANIMALS; CELL CULTURE; COMPUTER SIMULATION; DISEASES; MATHEMATICAL MODELS; TUMORS; UROLOGY;

ANIMAL MODEL; CELL LINES; IN-VIVO; INITIAL CONDITIONS; NUMERICAL RESULTS; NUMERICAL SOLUTION; PROSTATE CANCERS; TUMOUR PROGRESSION;

NUMERICAL MODELS;

ARTICLE; CANCER CELL CULTURE; CANCER GROWTH; CELL POPULATION; CELL PROLIFERATION; COMPUTER SIMULATION; CORRELATION ANALYSIS; DISEASE MODEL; EXPERIMENTAL ANIMAL; EXPERIMENTAL STUDY; GROWTH RATE; IN VITRO STUDY; IN VIVO STUDY; INTERMETHOD COMPARISON; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; NONHUMAN; PREDICTION; PROSTATE CANCER; QUANTITATIVE STUDY;

ANIMALIA;

EID: 77649138203     PISSN: 1748670X     EISSN: 17486718     Source Type: Journal    
DOI: 10.1080/17486700802517518     Document Type: Article

References (27)

1. B. Basse, B.C. Baguley, E.S. Marshall, W.R. Joseph, B. van Brunt, G.C. Wake, and D.J.N. Wall, A mathematical model for analysis of the cell cycle in cell lines derived from human tumours, J. Math. Biol. 47 (2003), pp. 295-312.
2. B. Basse, B.C. Baguley, E.S. Marshall, W.R. Joseph, B. van Brunt, G.C. Wake, and D.J.N. Wall, Modelling cell death in human tumour cell lines exposed to the anticancer drug paclitaxel, J. Math. Biol. 49 (2004), pp. 329-357.
3. B. Basse, B.C. Baguley, E.S. Marshall, G.C. Wake, and D.J.N. Wall, Modelling cell population growth with applications to cancer therapy in human tumour cell lines, Prog. Biophys. Mol. Biol. 85 (2004), pp. 353-368.
4. B. Basse, B.C. Baguley, E.S. Marshall, G.C. Wake, and D.J.N. Wall, Modelling the flow cytometric data obtained from unperturbed human tomour cell lines: Parameter fitting and comparison, Bull. Math. Biol. 67(4) (2005), pp. 815-830.
5. D.G. Bostwick, A. Pacelli, and A. Lopez-Beltran, Ultrastructure of prostatic intraepithelial neoplasia, Prostate 33 (1997), pp. 32-37.
6. D.G. Bostwick and J. Qian, Effect of androgen deprivation therapy on prostatic intraepithelial neoplasia, Urology 58 (2001), pp. 91-93.
7. A. Calvo, N. Xiao, J. Kang, C.J.M. Best, I. Leiva, M.R. Emmert-Buck, C. Jorcyk, and J.E. Green, Alterations in gene expression profiles during prostate cancer progression: Functional correletions to tumorigenicity and down-regulation of selenoprotein-P in mouse and human tumors, Cancer Res. 62 (2002), pp. 5325-5335.
8. Cancer Statistics, American Cancer Society, Inc., Atlanta, 57(1) (2007), pp. 43-66.
9. I. Hoffman and E. Karsenti, The role of cdc25 in checkpoints and feedback controls in the eukaryotic cell cycle, J. Cell Sci. Suppl. 18 (1994), pp. 75-79.
10. J.L. Holleran, C.J. Miller, N.L. Edgehouse, T.P. Pretlow, and L.A. Culp, Differential experimental micrometastasis to lung, liver, and bone with lacZ-tagged CWR22R prostate carcinoma cells, Clin. Exp. Metastasis 19 (2002), pp. 17-24.
11. [11] Z. Jackiewicz, Y. Kuang, C. Thalhauser, and B. Zubik-Kowal, Numerical solution of a model for brain cancer progression after therapy, submitted.
12. C.L. Jorcyk, M.-L. Liu, M.-A. Shibata, I.G. Maroulakou, K.L. Komschlies, M.J. McPhaul, J.H. Resau, and J.E. Green, Development and characterization of a mouse prostate adenocarcinoma cell line: Ductal formation determined by extracellular matrix, Prostate 34 (1998), pp. 10-22.
13. M. Kolev, Mathematical modeling for the competition between acquired immunity and cancer, Int. J. Appl. Math. Comput. Sci. 13(3) (2003), pp. 289-296.
14. M. Kolev, A mathematical model of cellular immune response to leukemia, Math. Comput. Model. 41 (2005), pp. 1071-1081.
15. M. Kolev, E. Kozłowska, and M. Lachowicz, A mathematical model for single cell cancer-immune system dynamics, Math. Comput. Model. 41 (2005), pp. 1083-1095.
16. J. Kuby, Immunology, 3rd ed., W.H. Freeman, New York, 1997.
17. P.M. Lydyard, A. Whelan, and M.W. Fanger, Instant Notes in Immunology, BIOS Scientific Publishers Ltd, Oxford, 2000.
18. I.G. Maroulakou, M. Anver, L. Garrett, and J.E. Green, Prostate and mammary adenocarcinoma in transgenic mice carrying a rat C3(1) simian virus 40 large tumor antigen fusion protein, Proc. Natl. Acad. Sci. USA 91 (1994), pp. 11236-11240.
19. M.G.R. Parker, H. White, M. Hurst, M. Needham, and R. Tilly, Prostatic steroid-binding protein: Isolation and characterization of C3 genes, J. Biol. Chem. 258 (1983), pp. 12-15.
20. D.M. Prescot, Cell reproduction, Int. Rev. Cytol. 100 (1987), pp. 93-128.
21. M.W. Shampine and M.W. Reichelt, The Matlab ODE suite, SIAM J. Sci. Comput. 18 (1997), pp. 1-22.
22. M.-A. Shibata, C.L. Jorcyk, M.-L. Liu, K. Yoshidome, L.G. Gold, and J.E. Green, The C3(1)/SV40 T antigen transgenic mouse model of prostate and mammary cancer, Toxicol. Pathol. 26 (1998), pp. 177-182.
23. J.A. Smith and L. Martin, Do cells cycle? Proc. Natl. Acad. Sci. USA 70 (1973), pp. 1263-1267.
24. C.R. Soares, M.-A. Shibata, J.E. Green, and C.L. Jorcyk, Development of PIN and prostate adenocarcinoma cell lines: A model system for multistage tumor progression, Neoplasia 4 (2002), pp. 112-120.
25. J.V. Watson, Tumour growth dynamics, Br. Med. Bull. 47 (1991), pp. 47-63.
26. G.D. Wilson, N.J. McNally, S. Dische, M.I. Saunders, C. Des Rochers, A.A. Lewis, and M.H. Bennet, Measurement of cell kinetics in human tumours in vivo using bromodeoxyuridine incorporation and low cytometry, Br. J. Cancer 58 (1988), pp. 423-431.
27. B. Zubik-Kowal, Solutions for the cell cycle in cell lines derived from human tumors, Comput. Math. Methods Med. 7(4) (2006), pp. 215-228.