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The dynamics of zeroth-order ultrasensitivity: A critical phenomenon in cell biology
An enzyme kinetics model of tumor dormancy, regulation of secondary metastases
1. | Department of Mathematics & Statistics, University of Michigan, Dearborn, MI 48128, United States |
2. | Iowa State University, Department of Mathematics, 482 Carver Hall Ames, IA 50011 |
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doi: 10.1172/JCI116904. |
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K. Boushaba, H. A. Levine and M. Nilsen-Hamilton, A mathematical model for the regulation of tumor dormancy based on enzyme kinetics, Bull Math. Biol., 68 (2006), 1495-1526.
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F. Brivio, P. Lissoni, G. Alderi, S. Barni, F. Lavorato and L. Fumagalli, Preoperative interleukin-2 subcutaneous immunotherapy may prolong the survival time in advanced colorectal cancer patients, Oncology, 53 (1996), 263-268.
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F. Brivio, P. Lissoni, M. S. Perego, A. Lissoni and L. Fumagalli, Abrogation of surgery-induced IL-6 hypersecretion by presurgical immunotherapy with IL-2 and its importance in the prevention of postoperative complications, J. Biol. Regul. Homeost Agents, 15 (2001), 370-374. |
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[2] |
L. S. Beck, W. P. L. DeGuzman, Y. X. Lee, M. W. Siegel and E. P. Amento, One systemic administration of transforming growth factor-beta 1 reverses age- or glucocorticoid-impaired wound healing, J. Clin. Invest., 92 (1993), 2841-2849.
doi: 10.1172/JCI116904. |
[3] |
K. Boushaba, H. A. Levine and M. Nilsen-Hamilton, A mathematical model for the regulation of tumor dormancy based on enzyme kinetics, Bull Math. Biol., 68 (2006), 1495-1526.
doi: 10.1007/s11538-005-9042-z. |
[4] |
P. G. Braunschweiger, L. M. Schiffer and S. Betancourt, Tumor cell proliferation and sequential chemotherapy after partial tumor resection in C3H/HeJ mammary tumors, Breast Cancer Research and Treatment, 2 (1982), 323-329.
doi: 10.1007/BF01805873. |
[5] |
F. Brivio, P. Lissoni, G. Alderi, S. Barni, F. Lavorato and L. Fumagalli, Preoperative interleukin-2 subcutaneous immunotherapy may prolong the survival time in advanced colorectal cancer patients, Oncology, 53 (1996), 263-268.
doi: 10.1159/000227571. |
[6] |
F. Brivio, P. Lissoni, M. S. Perego, A. Lissoni and L. Fumagalli, Abrogation of surgery-induced IL-6 hypersecretion by presurgical immunotherapy with IL-2 and its importance in the prevention of postoperative complications, J. Biol. Regul. Homeost Agents, 15 (2001), 370-374. |
[7] |
Y. Cao, M. S. O'Reilly, B. Marshall, E. Flynn, R. W. Ji and J. Folkman, Expression of angiostatin cDNA in a murine fibrosarcoma suppresses primary tumor growth and produces long-term dormancy of metastases, J. Clin. Invest., 101 (1998), 1055-1063.
doi: 10.1172/JCI1558. |
[8] |
R. Castello, A. Estelles, C. Vazquez, C. Falco, F. Espana, S. M. Almenar, C. Fuster and J. Aznar, Quantitative real-time reverse transcription-pcr assay for urokinase plasminogen activator, plasminogen activator inhibitor type 1, and tissue metalloproteinase inhibitor type 1 gene expressions in primary breast cancer, Clin. Chem., 48 (2002), 1288-1295. |
[9] |
W. L. Chandler, M. C. Alessi, M. F. Aillaud, P. Vague and I. Juhan-Vague, Formation, inhibition and clearance of plasmin in vivo, Haemostasis, 30 (2002), 204-218. |
[10] |
J. Cheng and L. Weiner, Tumors and their microenvironments: tilling the soil commentary re: A. m. scott et al., a phase i dose-escalation study of sibrotuzumab in patients with advanced or metastatic fibroblast activation protein-positive cancer, Clin Cancer Res, 9 (2003), 1590-1595. |
[11] |
J. C. Coffey, M. Doyle, L. O'Mahony et al., Probiotics confer protection against perioperative metastatic tumour growth, Annals of Surg. Oncol., 85 (2001), 273-278. |
[12] |
J. C. Coffey, J. H. Wang, T. G. Cotter and H. P. Redmond, Cytoreductive surgery enhances tumorogenicityby downregulating mitochondrial apoptosis, Ann Surg Oncol, 10 (2003), S24. |
[13] |
J. C. Coffey, J. H. Wang, M. J. Smith, D. Bouchier-Hayes, T. G. Cotter and H. P. Redmond, Excisional surgery for cancer cure: Therapy at a cost, Lancet Oncol., 4 (2003), 760-768.
doi: 10.1016/S1470-2045(03)01282-8. |
[14] |
M. L. Costa and H. P. Redmond and D. J. Bouchier-Hayes, Taurolidine improves survival by abrogating the accelerated development and proliferation of solid tumors and development of organ metastases from circulating tumor cells released, J. Surg. Res., 101 (2001), 111-119.
doi: 10.1006/jsre.2001.6250. |
[15] |
B. Davis, Reinforced random walks, Probal. Theory Related Fields, 84 (1990), 203-229.
doi: 10.1007/BF01197845. |
[16] |
G. De Crescenzo, S. Grothe, J. Zwangstra, M. Tsang and M. D.O'Connor-McCourt, Real-time monitoring of the interactions of transforming growth factor- (TGF- ) isoforms with latency-associated protein and the ectodomains of the TGF- type II and III receptors reveals different kinetic models and stoichiometries of binding, J. Biol. Chem., 276 (2001), 29632-29643.
doi: 10.1074/jbc.M009765200. |
[17] |
G. De Crescenzo, P. L. Pham, Y. Durocher and M. D.O'Connor-McCourt, Transforming growth factor-beta(tgf-$\beta$ binding to the extracellular domain of the type ii (tgf-$\beta$ receptor: Receptor capture on a biosensor surface using a new coiled-coil capture system demonstrates that avidity contributes significantly to high affinity binding, J. Mol. Biol., 328 (2003), 1173-1183.
doi: 10.1016/S0022-2836(03)00360-7. |
[18] |
V. De Giorgi, D. Massai, G. Gerlini, F. Mannone, E. Quercioli and P. Carli, Immediate local and regional recurrence after the excision of a polypoid melanoma: tumor dormancy or tumor activation?, Derm. Surgery, 29 (2003), 664-667.
doi: 10.1046/j.1524-4725.2003.29163.x. |
[19] |
R. Demicheli, P. Valagussa and G. Bonadonna, Does surgery modify growth kinetics of breast cancer micrometastases?, Br. J. Cancer, 85 (2001), 490-492.
doi: 10.1054/bjoc.2001.1969. |
[20] |
R. Demicheli, Tumour dormancy: findings and hypotheses from clinical research on breast cancer, Semin. Cancer Biol., 11 (2001), 297-306.
doi: 10.1006/scbi.2001.0385. |
[21] |
E. R. Edelman, N. M. A. and M. J. Karnovsky, Perivascular and intravenous administration of basic fibroblast growth factor: Vascular and solid organ deposition, Proc. Natl. Acad. Sci., 90 (1993), 1513-1517.
doi: 10.1073/pnas.90.4.1513. |
[22] |
S. Eikenberry, C. Thalhauser and Y. Kuang, Tumor-immune interaction, surgical treatment, and cancer recurrence in a mathematical model of melanoma, PLoS Comput. Biol., 5 (2009) e1000362.
doi: 10.1371/journal.pcbi.1000362. |
[23] |
V. Ellis, N. Behrendt and K. Dano, Plasminogen activation by receptor-bound urokinase. a kinetic study with both cell-associated and isolated receptor, J. Biol. Chem., 266 (1991), 12752-12758. |
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