Why victory in the war on cancer remains elusive: Biomedical hypotheses and mathematical models

Cancers

Volumn 3, Issue 1, 2011, Pages 340-367

  Hanin, Leonid ^a  

^a Nucl Eng Idaho State University   (United States)

Author keywords

Angiogenesis; Breast cancer; Cancer dormancy; Mathematical model; Metastasis; Model identifiability; Poisson process

Indexed keywords

ANTINEOPLASTIC AGENT; PROSTATE SPECIFIC ANTIGEN;

BIOCHEMISTRY; BIOINFORMATICS; BIOMECHANICS; BREAST BIOPSY; BREAST CANCER; BREAST CARCINOGENESIS; CANCER GROWTH; CANCER RESEARCH; CANCER SURVIVAL; CELL PROLIFERATION; CLONOGENESIS; COMPUTER ASSISTED TOMOGRAPHY; DATA ANALYSIS; DETERMINISTIC MODEL; DORMANCY; EARLY DIAGNOSIS; GENE MUTATION; GENE SEQUENCE; GENETIC HETEROGENEITY; GENOMICS; GENOTYPE ENVIRONMENT INTERACTION; HEREDITY; HORMONAL THERAPY; HUMAN; IMMUNE RESPONSE; INTRADUCTAL CARCINOMA; MAMMOGRAPHY; MASTECTOMY; MATHEMATICAL ANALYSIS; METASTASIS; METASTASIS POTENTIAL; MOLECULAR BIOLOGY; PARAMETRIC TEST; PHENOMENOLOGY; POSITRON EMISSION TOMOGRAPHY; PROGNOSIS; PROSTATE CANCER; PROSTATECTOMY; QUALITY OF LIFE; QUANTITATIVE ANALYSIS; REVIEW; STOCHASTIC MODEL; TREATMENT RESPONSE; TUMOR CELL; TUMOR MICROENVIRONMENT; TUMOR VOLUME; VALIDATION PROCESS;

EID: 79953688583     PISSN: None     EISSN: 20726694     Source Type: Journal    
DOI: 10.3390/cancers3010340     Document Type: Review

References (66)

1. Begley, S. We fought cancer And cancer won. Newsweek 2008, 6 September 2008.
2. Mintz, B.; Illmensee, K. Normal genetically mosaic mice produced from malignant teratocarcinoma cells. Proc. Natl. Acad. Sci. USA 1975, 72, 3585-3589.
3. Dolberg, D.S.; Bissell, M.J. Inability of Rous sarcoma virus to cause sarcoma in the avian embryo. Nature 1984, 309, 552-556.
4. Smithers, D.W. An attack on cytologism. The Lancet 1962, 1, 493-499.
5. Paget, S. The distribution of secondary growths in cancer of the breast. The Lancet 1889, 133, 571-573.
6. Boyd, W. The Spontaneous Regression of Cancer. Thomas: Springfield, Illinois, 1966.
7. Everson, T.C.; Cole, W.H. Spontaneous Regression of Cancer; Saunders: Phil adel phi a, PA, USA, 2006.
8. Zahl, P.-H.; Mæhlen, J.; Welch, H.G. The natural history of invasive breast cancer detected by screening mammography. Arch. Intern. Med. 2008, 168, 2311-2316.
9. Wood, P.A.; Hrushesky, W.J. Sex cycle modulates cancer growth. Breast Cancer Res. Treat. 2005, 91, 95-102.
10. Oh, E.Y.; Ansell, C.; Nawaz, H.; Yang, C.H.; Wood, P.A.; Hrushesky, W.J. Global breast cancer seasonality. Breast Cancer Res. Treat. 2010, 123, 233-243.
11. Kroman, N. Timing of breast cancer surgery in relation to the menstrual cycle-the rise and fall of a hypothesis. Acta Oncol. 2008, 47, 576-579.
12. Demicheli, R.; Retsky, M.; Hrushesky, W.J. M; Baum, M.; Gukas, I.D. The effects of surgery on tumor growth: a century of investigations. Ann. Oncol. 2008, 19, 1821-1828.
13. Douglas, JRS. Significance of the size distribution of bloodborne metastases. Cancer 1971, 27, 379-390.
14. Olsen, O.; Gøtzsche, P.C. Cochrane review on screening for breast cancer with mammography. The Lancet 2001, 358, 1340-1342.
15. Autier, P.; Boniol, M.; LaVecchia, C.; Vatten, L.; Gavin, A.; Héry, C.; Heanue, M. Disparities in breast cancer mortality trends between 30 European countries: retrospective trend analysis of WHO mortality database. Br. Med. J. 2010, 341, c3620.
16. Oesterling, J.O. Prostate-specific antigen: A critical assessment of the most useful tumor marker for adenocarcinoma of the prostate. J. Urol. 1991, 145, 907-923.
17. Scardino, P.T. The prevention of prostate cancer-the dilemma continues. N. Eng. J. Med. 2003, 349, 297-299.
18. Optenberg, S.A.; Thompson, I.M. Economics of screening for carcinoma of the prostate. Urol. Clin. N. Amer. 1990, 17, 719-737.
19. Ablin, R.J. The great prostate mistake. The New York Times 2010, 10 March 2010.
20. Retsky, M.; Demicheli, R.; Hrushesky, W.; Baum, M.; Gukas, I. Surgery triggers outgrowth of latent distant disease in breast cancer: An inconvenient truth? Cancers 2010, 2, 305-337.
21. Ehrlich, P.; Apolant, H. Beobachtungen über maligne Mäusetumoren. Berliner Klinische Wochenschrift 1905, 42, 871-874.
22. O'Reilly, M.S.; Holmgren, L.; Shing, Y.; Chen, C.; Rosenthal, R.A.; Moses, M.; Lane, W.S.; Cao, Y.; Sage, E.H.; Folkman, J. Angiostatin: A novel angiogenesis inhibitor that mediates the suppression of metastases by a Lewis lung carcinoma. Cell 1994, 79, 315-328.
23. Prehn, R.T. Two competing influences that may explain concomitant tumor resistance. Cancer Res. 1993, 53, 3266-3269.
24. Baum, M.; Chaplain, M.; Anderson, A.; Douek, M.; Vaidya, J.S. Does breast cancer exist in a state of chaos? Eur. J. Cancer 1999, 35, 886-891.
25. Saul, S. Earliest steps to find breast cancer are prone to errors. The New York Times 2010, 19 July 2010.
26. Barbour, A.; Gotley, D.C. Current concepts of tumour metastasis. Ann. Acad. Med. Singapore 2003, 32, 176-184.
27. Retsky, M.; Demicheli, R.; Hrushesky, W. Breast cancer screening: controversies and future directions. Curr. Opin. Obstet. Gynecol. 2003, 15, 1-8.
28. Retsky, M.; Demicheli, R.; Hrushesky, W. Premenopausal status accelerates relapse in node positive breast cancer: hypothesis links angiogenesis, screening controversy. Breast Cancer Res. Treat. 2001, 65, 217-224.
29. Retsky, M.; Bonadonna, G.; Demicheli, R.; Folkman, J.; Hrushesky, W.; Valagussa, P. Hypothesis: Induced angiogenesis after surgery in premenopausal node-positive breast cancer patients is a major underlying reason why adjuvant chemotherapy works particularly well for those patients. Breast Cancer Res. 2004, 6, R372-R374.
30. Demicheli, R.; Biganzoli, E.; Boracchi P.; Greco, M.; Retsky, M. Recurrence dynamics does not depend on the recurrence site. Breast Cancer Res. 2008, 10, Article R83.
31. Retsky, M.; Hrushesky, W.; Gukas, I.D. Hypothesis: primary antiangiogenic method proposed to treat early stage breast cancer. BMC Cancer 2009, 9, Article 7.
32. Fisher, B. Laboratory and clinical research in breast cancer: a personal adventure. The David A. Karnof sky memorial lecture. Cancer Res. 1980, 40, 3863-3874.
33. Ashworth, T.R. A case of cancer in which cells similar to those in the tumour were seen in the blood after death. Med. J. Australia 1869, 14, 146-147.
34. Pantel, K.; Otte, M. Occult micrometastases: enrichment, identification and characterization of single disseminated tumour cells. Semin. Cancer Biol. 2001, 11, 327-337.
35. Jiao, X.; Krasna, M.J. Clinical significance of micrometastasis in lung and esophageal cancer: a new paradigm in thoracic oncology. Ann. Thorac. Surg. 2002, 74, 278-284.
36. Sugio, K.; Kase, S.; Sakada, T.; Yamazaki, K.; Yamaguchi, M.; Ondo, K.; Yano, T. Micrometastasis in the bone marrow of patients with lung cancer associated with a reduced expression of E-cadherin and beta-catenin: risk assessment by immunohistochemistry. Surgery 2002, 131, S226-S231.
37. Fodstad, O.; Faye, R.; Hoifodt, H.K.; Skovlund, E.; Aamdal, S. Immunobead-based detection and characterization of circulating tumor cells in melanoma patients. Recent Results Canc. Res. 2001, 158, 40-50.
38. Marches, R.; Scheuermann, R.; Uhr, J. Cancer dormancy: From mice to man. Cell Cycle 2006, 5, 1772-1778.
39. Ellis, W.J.; Pfitzenmaier, J.; Colli, J.; Arfman, E.; Lange, P.H.; Vessella, R.L. Detection and isolation of prostate cancer cells from peripheral blood and bone marrow. Urology 2003, 61, 277-281.
40. Pfitzenmaier, J.; Vessella, R.L.; Ellis, W.J.; Lange, P.H. Detection, isolation and study of disseminated prostate cancer cells in the peripheral blood and bone marrow. In Pantel, K., ed. Micrometastasis. Kluwer Academic Publishers: Norwell, Massachusetts, 2003, pp. 87-116.
41. Hadfield, G. The dormant cancer cell. Br. Med. J. 1954, 2, 607-610.
42. Vessella, R.L.; Pantel, K.; Mohla, S. Tumor Cell Dormancy. An NCI Workshop Report. Cancer Biol. Ther. 2007, 6, 1796-1504.
43. Karrison, T.G.; Ferguson, D.J.; Meier, P. Dormancy of mammary carcinoma after mastectomy. J. Natl. Cancer Inst. 1999, 91, 80-85.
44. Sugarbaker, E.V.; Ketcham, A.S.; Cohen, A.M. Studies of dormant tumor cells. Cancer 1971, 28, 545-552.
45. Demicheli, R. Tumour dormancy: findings and hypotheses from clinical research on breast cancer. Semin. Cancer Biol. 2001, 11, 297-306.
46. Loh, E.; Couch, F.G.; Hendricksen, C.; Farid, L.; Kelly, P.F.; Acker, M.A.; Tomaszewski, J.E.; Malkowicz, S.B.; Weber, B.L. Development of donor-derived prostate cancer in a recipient following orthotopic heart transplantation. JAMA 1997, 277, 133-137.
47. Jonas, S.; Bechstein, W.O.; Lemmens, H-P.; Neuhaus, R.; Thalmann, U.; Neuhaus, P. Liver graft-transmitted glioblastoma multiforme. A case report and experience with 13 multiorgan donors suffering from primary cerebral neoplasia. Transpl. Int. 1996, 9, 426-429.
48. Maida, V.; Ennis, M.; Kuziemsky, C.; Corban, J. Wounds and survival in cancer patients. Eur. J. Cancer 2009, 45, 3237-3244.
49. Hoover, H.C.; Ketcham, A.S. Techniques for inhibiting tumor metastases. Cancer 1975, 35, 5-14.
50. Peeters, C.F.J.M.; de Waal, R.M.W.; Wobbes, T.; Westphal, J.R.; Ruers, T.J.M. Outgrowth of human liver metastases after resection of the primary colorectal tumor: A shift in the balance between apoptosis and proliferation. Internat. J. Cancer 2006, 119, 1249-1253.
51. Sandler, H.M.; Hanks, G.E. Analysis of the possibility that transurethral resection promotes metastasis in prostate cancer. Cancer 1988, 62, 2622-2627.
52. Tseng, W.W.; Doyle, J.A.; Maguiness, S.; Horvai, A.E.; Kashani-Sabet, M.; Leong, S.P.L. Giant cutaneous melanomas: evidence for primary tumour induced dormancy in metastatic sites? Br. Med. J. Case Reports 2009, doi:10.1136/bcr.07.2009.2073.
53. De Giorgi, V.; Massi, D.; Gerlini, G.; Mannone, F.; Quercioli, E.; Carli, P. Immediate local and regional recurrence after the excision of a polypoid melanoma: Tumor dormancy or tumor activation? Dermatologic Surgery 2003, 29, 664-667.
54. Lange, P.H.; Hekmat, K.; Bosl, G.; Kennedy, B.J.; Fraley, E.E. Accelerated growth of testicular cancer after cytoreductive surgery. Cancer 1980, 45, 1498-1506.
55. Hanin, L.G.; Yakovlev, A.Y. M ultivariate distributions of clinical covariates at the time of cancer detection. Stat. Methods Med. Res. 2004, 13, 457-489.
56. Byrne, H.M. Dissecting cancer through mathematics: from cell to animal model. Nat. Rev. Cancer 2010, 10, 221-230.
57. Lowengrub, J.S.; Frieboes, H.B.; Jin, F.; Chuang, Y-L.; Li, X.; Macklin, P.; Wise, S. M; Cristini, V. Nonlinear modelling of cancer: bridging the gap between cells and tumours. Nonlinearity 2010, 23, R1-R91.
58. Kendal, W.S. Chance mechanisms affecting the burden of metastases. BMC Cancer 2005, 5, 138-146.
59. Hanin, L.G. Identification problem for stochastic models with application to carcinogenesis, cancer detection and radiation biology. Discrete Dynamics in Nature and Society 2002, 7, 177-189.
60. Hanin, L.G.; Rose, J.; Zaider, M. A stochastic model for the sizes of detectable metastases. J. Theor. Biol. 2006, 243, 407-417.
61. Hanin, L.G. Distribution of the sizes of metastases: mathematical and biomedical considerations. In Handbook of Cancer Models with Applications; Tan, W.Y., H an i n, L.G., Eds.; World Scientific: Singapore, 2008; pp. 141-169.
62. Hanin, L.G.; Korosteleva. O. Does extirpation of the primary breast tumor give boost to growth of metastases? Evidence revealed by mathematical modeling. Math. Biosci. 2010, 223, 133-141.
63. Bartoszyński, R.; Edler, L.; Hanin, L.; Kopp-Schneider, A.; Pavlova, L.; Tsodikov, A.; Zorin, A.; Yakovlev, A. Modeling cancer detection: Tumor size as a source of information on unobservable stages of carcinogenesis. Math. Biosci. 2001, 171, 113-142.
64. Iwata, K.; Kawasaki, K.; Shigesada, N. A dynamical model for the growth and size distribution of multiple metastatic tumors. J. Theor. Biol. 2000, 203, 177-186.
65. Hanin, L.G.; Yakovlev, A.Y. A nonidentifiability aspect of the two-stage model of carcinogenesis. Risk Analysis 1996, 16, 711-715.
66. Folkman, J.; Watson, K.; Ingber, D.; Hanahan, D. Induction of angiogenesis during the transition from hyperplasia to neoplasia. Nature 1989, 339, 58-61.