Mathematical Model for Chemotherapeutic Drug Efficacy in Arresting Tumour Growth Based on the Cancer Stem Cell Hypothesis

Overview

Journal Cell Prolif

Date 2007 May 29

PMID 17531079

Citations 20

Authors

R Ganguly

I K Puri

Affiliations

Soon will be listed here.

Abstract

Objective: Cancer stem cells have been identified as the growth root for various malignant tumours and are thought to be responsible for cancer recurrence following treatment.

Materials And Methods: Here, a predictive mathematical model for the cancer stem cell hypothesis is used to understand tumour responses to chemotherapeutic drugs and judge the efficacy of treatments in arresting tumour growth. The impact of varying drug efficacies on different abnormal cell populations is investigated through the kinetics associated with their decline in response to therapy.

Results And Conclusions: The model predicts the clinically established 'dandelion phenomenon' and suggests that the best response to chemotherapy occurs when a drug targets abnormal stem cells. We compare continuous and periodic drug infusion. For the latter, we examine the relative importance of the drug cell-kill rate and the mean time between successive therapies, to identify the key attributes for successful treatment.

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References

Cortes J, OBrien S, Kantarjian H . Discontinuation of imatinib therapy after achieving a molecular response. Blood. 2004; 104(7):2204-5. DOI: 10.1182/blood-2004-04-1335. View

Ganguly R, Puri I . Mathematical model for the cancer stem cell hypothesis. Cell Prolif. 2006; 39(1):3-14. PMC: 6495990. DOI: 10.1111/j.1365-2184.2006.00369.x. View

Taipale J, Beachy P . The Hedgehog and Wnt signalling pathways in cancer. Nature. 2001; 411(6835):349-54. DOI: 10.1038/35077219. View

Michor F, Hughes T, Iwasa Y, Branford S, Shah N, Sawyers C . Dynamics of chronic myeloid leukaemia. Nature. 2005; 435(7046):1267-70. DOI: 10.1038/nature03669. View

Mayer L, Harasym T, Tardi P, Harasym N, Shew C, Johnstone S . Ratiometric dosing of anticancer drug combinations: controlling drug ratios after systemic administration regulates therapeutic activity in tumor-bearing mice. Mol Cancer Ther. 2006; 5(7):1854-63. DOI: 10.1158/1535-7163.MCT-06-0118. View

Bonifazi F, De Vivo A, Rosti G, Guilhot F, Guilhot J, Trabacchi E . Chronic myeloid leukemia and interferon-alpha: a study of complete cytogenetic responders. Blood. 2001; 98(10):3074-81. DOI: 10.1182/blood.v98.10.3074. View

Viswanathan S, Zandstra P . Towards predictive models of stem cell fate. Cytotechnology. 2008; 41(2-3):75-92. PMC: 3466685. DOI: 10.1023/A:1024866504538. View

OBrien S, Guilhot F, Larson R, Gathmann I, Baccarani M, Cervantes F . Imatinib compared with interferon and low-dose cytarabine for newly diagnosed chronic-phase chronic myeloid leukemia. N Engl J Med. 2003; 348(11):994-1004. DOI: 10.1056/NEJMoa022457. View

Reya T, Morrison S, Clarke M, Weissman I . Stem cells, cancer, and cancer stem cells. Nature. 2001; 414(6859):105-11. DOI: 10.1038/35102167. View

10.

Maddrey A, Bergeron J, Lombardo E, McDonald N, Mulne A, Barenberg P . Neuropsychological performance and quality of life of 10 year survivors of childhood medulloblastoma. J Neurooncol. 2005; 72(3):245-53. DOI: 10.1007/s11060-004-3009-z. View

11.

Huntly B, Gilliland D . Cancer biology: summing up cancer stem cells. Nature. 2005; 435(7046):1169-70. DOI: 10.1038/4351169a. View

12.

Polyak K, Hahn W . Roots and stems: stem cells in cancer. Nat Med. 2006; 12(3):296-300. DOI: 10.1038/nm1379. View

13.

Al-Hajj M, Clarke M . Self-renewal and solid tumor stem cells. Oncogene. 2004; 23(43):7274-82. DOI: 10.1038/sj.onc.1207947. View

14.

Al-Hajj M, Becker M, Wicha M, Weissman I, Clarke M . Therapeutic implications of cancer stem cells. Curr Opin Genet Dev. 2004; 14(1):43-7. DOI: 10.1016/j.gde.2003.11.007. View

15.

ONeill A, Schaffer D . The biology and engineering of stem-cell control. Biotechnol Appl Biochem. 2004; 40(Pt 1):5-16. DOI: 10.1042/BA20030195. View

16.

Stordal B, Davey M, Davey R . Oxaliplatin induces drug resistance more rapidly than cisplatin in H69 small cell lung cancer cells. Cancer Chemother Pharmacol. 2005; 58(2):256-65. DOI: 10.1007/s00280-005-0148-7. View

17.

Pierce A, Smith D, Jakobsen L, Whetton A, Spooncer E . The specific enhancement of interferon alpha induced growth inhibition by BCR/ABL only occurs in multipotent cells. Hematol J. 2002; 2(4):257-64. DOI: 10.1038/sj.thj.6200114. View

18.

Singh S, Hawkins C, Clarke I, Squire J, Bayani J, Hide T . Identification of human brain tumour initiating cells. Nature. 2004; 432(7015):396-401. DOI: 10.1038/nature03128. View

19.

Huff C, Matsui W, Smith B, Jones R . Strategies to eliminate cancer stem cells: clinical implications. Eur J Cancer. 2006; 42(9):1293-7. DOI: 10.1016/j.ejca.2006.01.045. View

20.

Lessard J, Sauvageau G . Bmi-1 determines the proliferative capacity of normal and leukaemic stem cells. Nature. 2003; 423(6937):255-60. DOI: 10.1038/nature01572. View