Free Access
Math. Model. Nat. Phenom.
Volume 4, Number 3, 2009
Cancer modelling (Part 2)
Page(s) 156 - 182
Published online 05 June 2009
  1. J.L. Abkowitz, S.N. Catlin, M.T. McCallie, P. Guttorp. Evidence that the number of hematopoietic stem cells per animal is conserved in mammals. Blood, 100 (2002), No. 7, 2665–2667. [CrossRef] [PubMed]
  2. M. Al-Hajj, M.F. Clarke, MF. Self-renewal and solid tumor stem cells. Oncogene, 23 (2004), No. 43, 7274–7282. [CrossRef] [PubMed]
  3. L.K. Andersen, M.C. Mackey, MC. Resonance in periodic chemotherapy: a case study of acute myelogenous leukemia. J. Theor. Biol., 209 (2001), No. 13, 113–130. [CrossRef] [PubMed]
  4. D.J. Araten, D.W. Golde, R.H. Zhang, RH, H.T. Thaler, L. Gargiulo, R. Notaro, R, L. Luzzatto, L. A quantitative measurement of the human somatic mutation rate. Cancer Res., 65 (2005), No. 18, 8111–8117. [CrossRef] [PubMed]
  5. R. Ashkenazi, S.N. Gentry, T.L. Jackson. Pathways to tumorigenesis - modeling mutation acquisition in stem cells and their progeny. Neoplasia (Accepted).
  6. D.R. Barreda, P.C. Hanington, M. Belosevic, M Regulation of myeloid development and function by colony stimulating factors. Dev. Comp. Immunol., 28 (2004), No. 5, 509–554.
  7. J.C. Barrett, JC. Mechanisms of multistep carcinogenesis and carcinogen risk assessment. Environ. Health Persp., 100 (1993), 9–20. [CrossRef]
  8. F. Behbod, J.M. Rosen. Will cancer stem cells provide new therapeutic targets? (Review). Carcinogenesis, 26 (2005), No. 4, 703–711. [CrossRef] [PubMed]
  9. S. Bernard, J. Bélair, M.C. Mackey, MC. Oscillations in cyclical neutropenia: new evidence based on mathematical modeling. J. Theor. Biol., 223 (2003), No. 3, 283–298. [CrossRef] [PubMed]
  10. J.H. Bielas, K.R. Loeb, B.P. Rubin, L.D. True, L.A. Loeb. Human cancers express a mutator phenotype. P. Natl. Acad. of Sci. USA, 103 (2006), No. 48, 18238–18242. [CrossRef]
  11. E. Caussinus, C. Gonzalez, C. Induction of tumor growth by altered stem-cell asymmetric division in Drosophila melanogaster. Nat. Genet., 37 (2005), No. 10, 1125–1129. [CrossRef] [PubMed]
  12. S.H. Cheshier, S.J. Morrison, X. Liao, I.L. Weissman. In vivo proliferation and cell cycle kinetics of long-term self-renewing hematopoietic stem cells. P. Natl. Acad. Sci. USA, 96 (1999), No. 6, 3120–3125. [CrossRef]
  13. C. Colijn, M.C. Mackey. A mathematical model of hematopoiesis – I. Periodic chronic myelogenous leukemia. J. Theor. Biol., 237 (2005), No. 2, 117–132. [CrossRef] [PubMed]
  14. D.L. Crowe, B. Parsa, U.K. Sinha. Relationships between stem cells and cancer stem cells (Review). Histol. Histopathol., 19 (2004), No. 2, 505–509. [PubMed]
  15. T.M. Fliedner, D. Graessle, C. Paulsen, K. Reimers. Structure and function of bone marrow hemopoiesis: mechanisms of response to ionizing radiation exposure. Cancer Biother. Radio., 17 (2002), No. 4, 405–426. [CrossRef]
  16. C.M. Flynn, D.S. Kaufman, DS. Donor cell leukemia: insight into cancer stem cells and the stem cell niche. Blood, 109 (2007), No. 7, 2688–2692. [PubMed]
  17. U. Galderisi, M. Cippollaro, A. Giordano. Stem cells and brain cancer. Cell Death Differ., 13 (2006), No. 1, 5–11. [CrossRef] [PubMed]
  18. D. Hanahan, R.A. Weinberg. The hallmarks of cancer (Review). Cell, 100 (2000), No. 1, 57–70. [CrossRef] [PubMed]
  19. K. Hardy, J. Stark, J. Mathematical models of the balance between apoptosis and proliferation. Apoptosis, 7 (2002), No. 4, 373–381. [CrossRef] [PubMed]
  20. W.J. Harrison. The total cellularity of the bone marrow in man. J. Clin. Pathol., 15 (1962), No. 3, 254–259. [CrossRef] [PubMed]
  21. B.J.P. Huntly, D.G. Gilliland. Leukaemia stem cells and the evolution of cancer-stem-cell research. Nat. Rev. Cancer, 5 (2005), No. 4, 311–321. [CrossRef] [PubMed]
  22. A.L. Jackson, L.A. Loeb. The mutation rate and cancer. Genetics, 148 (1998), No. 4, 1483–1490. [PubMed]
  23. C.A. JanewayJr., P. Travers, M. Walport, M.J. Shlomchik. Immunobiology, Sixth Edition. Garland Science, 2005.
  24. F. Michor, T.P. Hughes, Y. Iwasa, S. Branford, N.P. Shah, C.L. Sawyers, M.A. Nowak. Dynamics of chronic myeloid leukaemia. Nature, 435 (2005), No. 7046, 1267–1270. [CrossRef] [PubMed]
  25. F. Michor, I. Iwasa, H. Rajagopalan, C. Lengauer, M.A. Nowak, MA. Linear model of colon cancer initiation. Cell Cycle, 3 (2004), No. 3, 358–362. [PubMed]
  26. J.D. Murray. Mathematical Biology, Second Edition. Springer, 1989.
  27. A. O'Neill, D.V. Schaffer. The biology and engineering of stem-cell control. Biotechnol. Appl. Bioc., 40 (2004), No. 1, 5–16. [CrossRef]
  28. I. Ostby, H.B. Benestad, P/ Grottum. Mathematical modeling of human granulopoiesis: the possible importance of regulated apoptosis. Math. Biosci., 186 (2003), No. 1, 1–27. [CrossRef] [MathSciNet] [PubMed]
  29. R. Pardal, M.F. Clarke, S.J. Morrison. Applying the principles of stem-cell biology to cancer. Nat. Rev. Cancer, 3 (2003), No. 12, 895–902. [CrossRef] [PubMed]
  30. P. Reizenstein. Growth of normal and malignant bone marrow cells. Leukemia Res., 14 (1990), No. 8, 679–681. [CrossRef]
  31. T. Reya, S.J. Morrison, M.F. Clarke, I.L. Weissman. Stem cells, cancer, and cancer stem cells. Nature, 414 (2001), No. 6859, 105–111. [CrossRef] [PubMed]
  32. S.L. Spencer, M.J. Berryman, J.A. García, D. Abbott, D. An ordinary differential equation model for the multistep transformation to cancer. J. Theor. Biol., 231 (2004), No. 4, 515–524. [CrossRef] [PubMed]
  33. M. Wu, H.Y. Kwon, F. Rattis, J. Blum, C. Zhao, R. Ashkenazi, T.L. Jackson, N. Gaiano, T. Oliver, T. Reya. Imaging hematopoietic precursor division in real time. Cell Stem Cell, 1 (2007), No. 5, 541–554. [CrossRef] [PubMed]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.