A multi-compartment cell repopulation model allowing for inter-compartmental migration following radiation exposure, applied to leukaemia

Journal of Theoretical Biology

Volumn 245, Issue 1, 2007, Pages 83-97

  Little, Mark P ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Cancer risk; Leukaemia; Radiotherapy; Repopulation; Stem cells

Indexed keywords

BLOOD SYSTEM DISORDER; CANCER; DISEASE TREATMENT; MODELING; RADIATION EXPOSURE; RISK FACTOR;

ARTICLE; ATOMIC BOMB SURVIVOR; CELL HETEROGENEITY; CELL MIGRATION; CELL MUTANT; CELL POPULATION; COMPARTMENT MODEL; DRUG DOSE REGIMEN; HEMATOPOIETIC STEM CELL; HUMAN; LEUKEMIA; PRIORITY JOURNAL; RADIATION DOSE DISTRIBUTION; RADIATION DOSE FRACTIONATION; RADIATION EXPOSURE; SENSITIVITY ANALYSIS; STOCHASTIC MODEL;

CELL COUNT; CELL MOVEMENT; HEMATOPOIETIC STEM CELLS; HUMANS; JAPAN; LEUKEMIA; MATHEMATICS; MODELS, BIOLOGICAL; MONTE CARLO METHOD; MUTATION; NUCLEAR WARFARE; RADIATION DOSAGE; RADIOTHERAPY; RISK FACTORS; SIGNAL TRANSDUCTION;

EID: 33846842342     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.09.026     Document Type: Article

References (55)

1. Abkowitz J.L., Catlin S.L., McCallie M.T., and Guttorp P. Evidence that the number of hematopoietic stem cells per animal is conserved in mammals. Blood 100 (2002) 2665-2667
2. Abkowitz J.L., Robinson A.E., Kale S., Long M.W., and Chen J. Mobilization of hematopoietic stem cells during homeostasis and after cytokine exposure. Blood 102 (2003) 1249-1253
3. + cells provides a rapid hematopoietic recovery and cost savings in autologous peripheral blood stem cell transplantation. Jpn. J. Clin. Oncol. 32 (2002) 135-139
4. Bensinger W., Singer J., Appelbaum F., Lilleby K., Longin K., Rowley S., Clarke E., Clift R., Hansen J., Shields T., Storb R., Weaver C., Weiden P., and Buckner C.D. Autologous transplantation with peripheral blood mononuclear cells collected after administration of recombinant granulocyte stimulating factor. Blood 81 (1993) 3158-3163
5. Boice Jr. J.D., Blettner M., Kleinerman R.A., Stovall M., Moloney W.C., Engholm G., Austin D.F., Bosch A., Cookfair D.L., Krementz E.T., Latourette H.B., Peters L.J., Schulz M.D., Lundell M., Pettersson F., Storm H.H., Bell C.M.J., Coleman M.P., Fraser P., Palmer M., Prior P., Choi N.W., Hislop T.G., Koch M., Robb D., Robson D., Spengler R.F., von Fournier D., Frischkorn R., Lochmüller H., Pompe-Kirn V., Rimpela A., Kjørstad K., Pejovic M.H., Sigurdsson K., Pisani P., Kucera H., and Hutchison G.B. Radiation dose and leukemia risk in patients treated for cancer of the cervix. J. Natl. Cancer Inst. 79 (1987) 1295-1311
6. Damber L., Larsson L.-G., Johansson L., and Norin T. A cohort study with regard to the risk of haematological malignancies in patients treated with X-rays for benign lesions in the locomotor system. I. Epidemiological analyses. Acta Oncol. 34 (1995) 713-719
7. Darby S.C., Reeves G., Key T., Doll R., and Stovall M. Mortality in a cohort of women given X-ray therapy for metropathia haemorrhagica. Int. J. Cancer 56 (1994) 793-801
8. Farese A.M., MacVittie T.J., Roskos L., and Stead R.B. Hematopoietic recovery following autologous bone marrow transplantation in a nonhuman primate: effect of variation in treatment schedule with PEG-rHuMGDF. Stem Cells 21 (2003) 79-89
9. Fliedner T.M. The role of blood stem cells in hematopoietic cell renewal. Stem Cells 16 (1998) 361-374
10. Fliedner T.M., Tibken B., Hofer E.P., and Paul W. Stem cell responses after radiation exposure: A key to the evaluation and prediction of its effects. Health Phys. 70 (1996) 787-797
11. + cell-enriched hematopoietic cell population from human umbilical cord blood in response to recombinant cytokines. Arch. Med. Res. 33 (2002) 107-114
12. Gilbert E.S., Stovall M., Gospodarowicz M., van Leeuwen F.E., Andersson M., Glimelius B., Joensuu T., Lynch C.F., Curtis R.E., Holowaty E., Storm H., Pukkala E., van't Veer M.B., Fraumeni J.F., Boice Jr. J.D., Clarke E.A., and Travis L.B. Lung cancer after treatment for Hodgkin's disease: focus on radiation effects. Radiat. Res. 159 (2003) 161-173
13. Hall P., Boice Jr. J.D., Berg G., Bjelkengren G., Ericsson U.-B., Hallquist A., Lidberg M., Lundell G., Mattsson A., Tennvall J., Wiklund K., and Holm L.-E. Leukaemia incidence after iodine-131 exposure. Lancet 340 (1992) 1-4
14. Hess D.A., Levac K.D., Karanu F.N., Rosu-Myles M., White M.J., Gallacher L., Murdoch B., Keeney M., Ottowski P., Foley R., Chin-Yee I., and Bhatia M. Functional analysis of human hematopoietic repopulating cells mobilized with granulocyte colony-stimulating factor alone versus granulocyte colony-stimulating factor in combination with stem cell factor. Blood 100 (2002) 869-878
15. International Commission on Radiological Protection (ICRP), 1991. 1990 Recommendations of the International Commission on Radiological Protection. Annals of the ICRP, vol. 21(1-3). Pergamon, Oxford.
16. Iwama A., Oguro H., Negishi M., Kato Y., Morita Y., Tsukui H., Ema H., Kamijo T., Katoh-Fukui Y., Koseki H., van Lohuizen M., and Nakauchi H. Enhanced self-renewal of hematopoietic stem cells mediated by the polycomb gene product Bmi-1. Immunity 21 (2004) 843-851
17. Lapidot T., Dar A., and Kollet O. How do stem cells find their way home?. Blood 106 (2005) 1901-1910
18. Little M.P. Are two mutations sufficient to cause cancer? Some generalizations of the two-mutation model of carcinogenesis of Moolgavkar, Venzon, and Knudson, and of the multistage model of Armitage and Doll. Biometrics 51 (1995) 1278-1291
19. Little M.P. Comparison of the risks of cancer incidence and mortality following radiation therapy for benign and malignant disease with the cancer risks observed in the Japanese A-bomb survivors. Int. J. Radiat. Biol. 77 (2001) 431-464
20. Little M.P., and Wright E.G. A stochastic carcinogenesis model incorporating genomic instability fitted to colon cancer data. Math. Biosci. 183 (2003) 111-134
21. Little M.P., Muirhead C.R., Haylock R.G.E., and Thomas J.M. Relative risks of radiation-associated cancer: comparison of second cancer in therapeutically irradiated populations with the Japanese atomic bomb survivors. Radiat. Environ. Biophys. 38 (1999) 267-283
22. Lundell M., and Holm L.-E. Mortality from leukemia after irradiation in infancy for skin hemangioma. Radiat. Res. 145 (1996) 595-601
23. Mahaffy J.M., Bélair J., and Mackey M.C. Hematopoietic model with moving boundary condition and state dependent delay: applications in erythropoiesis. J. Theoret. Biol. 190 (1998) 135-146
24. Marley S.B., and Gordon M.Y. Chronic myeloid leukaemia: stem cell derived but progenitor cell driven. Clin. Sci. 109 (2005) 13-25
25. Martínez-Jaramillo G., Avilés A., Neri N., Huerta J., Madrigal-Velazquez M., Flores-Guzmán P., and Mayani H. In vitro proliferation and expansion of hematopoietic progenitors from patients with diffuse large B-cell lymphoma before and after chemotherapy. Leuk. Lymphoma 45 (2004) 1247-1254
26. McCarthy K.F. Marrow frequency of rat long-term repopulating cells: evidence that marrow hematopoietic stem cell concentration may be inversely proportional to species body weight. Blood 101 (2003) 3431-3435
27. McCullagh P., and Nelder J.A. Generalized Linear Models. second ed (1989), Chapman & Hall, London
28. + blood progenitor cells. Stem Cells 17 (1999) 152-161
29. Nakamura N. A hypothesis: radiation-related leukemia is mainly attributable to the small number of people who carry pre-existing clonally expanded preleukemic cells. Radiat. Res. 163 (2005) 258-265
30. Numerical Algorithms Group. NAG FORTRAN Library Introductory Guide, Mark 18 (1998), Numerical Algorithms Group, Oxford
31. Oredipe O.A., Furbert-Harris P.M., Laniyan I., Griffin W.M., and Sridhar R. Limits of stimulation of proliferation and differentiation of bone marrow cells of mice treated with swainsonine. Int. Immunopharmacol. 3 (2003) 1537-1547
32. Petzer A.L., and Gunsilius E. Hematopoietic stem cells in chronic myeloid leukemia. Arch. Med. Res. 34 (2003) 496-506
33. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes in FORTRAN. The Art of Scientific Computing. second ed (1992), Cambridge University Press, Cambridge
34. Preston D.L., Kusumi S., Tomonaga M., Izumi S., Ron E., Kuramoto A., Kamada N., Dohy H., Matsuo T., Nonaka H., Thompson D.E., Soda M., and Mabuchi K. Cancer incidence in atomic bomb survivors. Part III: leukemia, lymphoma and multiple myeloma, 1950-1987. Radiat. Res. 137 (1994) S68-S97 139, 129
35. Preston D.L., Shimizu Y., Pierce D.A., Suyama A., and Mabuchi K. Studies of mortality of atomic bomb survivors. Report 13: Solid cancer and noncancer disease mortality: 1950-1997. Radiat. Res. 160 (2003) 381-407
36. Preston D.L., Pierce D.A., Shimizu Y., Cullings H.M., Fujita S., Funamoto S., and Kodama K. Effect of recent changes in atomic bomb survivor dosimetry on cancer mortality risk estimates. Radiat. Res. 162 (2004) 377-389
37. Sachs R.K., and Brenner D.J. Solid tumor risks after high doses of ionizing radiation. Proc. Natl Acad. Sci. USA 102 (2005) 13040-13045
38. Sheridan W.P., Begley C.G., Juttner C.A., Szer J., To L.B., Maher D., McGrath K.M., Morstyn G., and Fox R.M. Effect of peripheral-blood progenitor cells mobilised by filgrastim (G-CSF) on platelet recovery after high-dose chemotherapy. Lancet 339 (1992) 640-644
39. Shuryak, I., Sachs, R.K., Hlatky, L., Little, M.P., Hahnfeldt, P., Brenner, D.J., 2006. Radiation-induced leukemia at doses relevant to radiation therapy: mechanisms and risk estimation. J. Natl Cancer Inst., in press.
40. Stovall M., Smith S.A., and Rosenstein M. Tissue doses from radiotherapy of cancer of the uterine cervix. Med. Phys. 16 (1989) 726-733
41. Thames H., and Hendry J.A. Fractionation in Radiotherapy (1987), Taylor & Francis, London
42. Tibken B., and Hofer E.P. A biomathematical model of granulocytopoiesis for estimation of stem cell numbers. Stem Cells 13 (1995) 283-289
43. Travis L.B., Curtis R.E., Storm H., Hall P., Holowaty E., van Leeuwen F.E., Kohler B.A., Pukkala E., Lynch C.F., Andersson M., Bergfeldt K., Clarke E.A., Wiklund T., Stoter G., Gospodarowicz M., Sturgeon J., Fraumeni Jr. J.F., and Boice Jr. J.D. Risk of second malignant neoplasms among long-term survivors of testicular cancer. J. Natl. Cancer Inst. 89 (1997) 1429-1439
44. Travis L.B., Andersson M., Gospodarowicz M., van Leeuwen F.E., Bergfeldt K., Lynch C.F., Curtis R.E., Kohler B.A., Wiklund T., Storm H., Holowaty E., Hall P., Pukkala E., Sleijfer D.T., Clarke E.A., Boice Jr. J.D., Stovall M., and Gilbert E. Treatment-associated leukemia following testicular cancer. J. Natl. Cancer Inst. 92 (2000) 1165-1171
45. Travis L.B., Gospodarowicz M., Curtis R.E., Clarke E.A., Andersson M., Glimelius B., Joensuu T., Lynch C.F., van Leeuwen F.E., Holowaty E., Storm H., Glimelius I., Pukkala E., Stovall M., Fraumeni Jr. J.F., Boice Jr. J.D., and Gilbert E. Lung cancer following chemotherapy and radiotherapy for Hodgkin's disease. J. Natl. Cancer Inst. 94 (2002) 182-192
46. Travis L.B., Hill D.A., Dores G.M., Gospodarowicz M., van Leeuwen F.E., Holowaty E., Glimelius B., Andersson M., Wiklund T., Lynch C.F., Van't Veer M.B., Glimelius I., Storm H., Pukkala E., Stovall M., Curtis R., Boice Jr. J.D., and Gilbert E. Breast cancer following radiotherapy and chemotherapy among young women with Hodgkin disease. J. Am. Med. Assoc. 290 (2003) 465-475
47. United Nations Scientific Committee on the Effects of Atomic Radiation (UNSCEAR). 2000. Sources and Effects of Ionizing Radiation. Vol. II: Effects. UN, New York.
48. US National Academy of Sciences (USNAS) Committee on the Biological Effects of Ionizing Radiations. Health Effects of Exposure to Low Levels of Ionizing Radiation (BEIR V) (1990), National Academy Press, Washington, DC
49. US National Academy of Sciences (USNAS) Committee to Assess Health Risks from Exposure to Low Levels of Ionizing Radiation. Health Risks from Exposure to Low Levels of Ionizing Radiation (BEIR VII-Phase 2) (2006), National Academy Press, Washington, DC
50. van Leeuwen F.E., Klokman W.J., Stovall M., Dahler E.C., van't Veer M.B., Noordijk E.M., Crommelin M.A., Aleman B.M.P., Broeks A., Gospodarowicz M., Travis L.B., and Russell N.S. Roles of radiation dose, chemotherapy, and hormonal factors in breast cancer following Hodgkin's disease. J. Natl. Cancer Inst. 95 (2003) 971-980
51. Weiss H.A., Darby S.C., Fearn T., and Doll R. Leukemia mortality after X-ray treatment for ankylosing spondylitis. Radiat. Res. 142 (1995) 1-11
52. Wong S., and Witte O.N. The BCR-ABL story: bench to bedside and back. Annu. Rev. Immunol. 22 (2004) 247-306
53. Wright D.E., Wagers A.J., Gulati A.P., Johnson F.L., and Weissman I.L. Physiological migration of hematopoietic stem and progenitor cells. Science 294 (2001) 1933-1936
54. Yan F., Collector M.I., Tyszko S., and Sharkis S.J. Using divisional history to measure hematopoietic stem cell self-renewal and differentiation. Exp. Hematol. 31 (2003) 56-64
55. + hematopoietic progenitor cells. Int. J. Radiat. Oncol. Biol. Phys. 40 (1998) 1193-1203