Stochastic dynamics of leukemic cells under an intermittent targeted therapy | Theory in Biosciences Skip to main content

Advertisement

Log in

Stochastic dynamics of leukemic cells under an intermittent targeted therapy

  • Original Paper
  • Published:
Theory in Biosciences Aims and scope Submit manuscript

Abstract

The evolutionary dynamics of cancerous cell populations in a model of Chronic Myeloid Leukemia (CML) is investigated in the presence of an intermittent targeted therapy. Cancer development and progression is modeled by simulating the stochastic evolution of initially healthy cells which can experience genetic mutations and modify their reproductive behavior, becoming leukemic clones. Front line therapy for the treatment of patients affected by CML is based on the administration of tyrosine kinase inhibitors, namely imatinib (Gleevec) or, more recently, dasatinib or nilotinib. Despite the fact that they represent the first example of a successful molecular targeted therapy, the development of resistance to these drugs is observed in a proportion of patients, especially those in advanced stages. In this study, we simulate an imatinib-like treatment of CML by modifying the fitness and the death rate of cancerous cells and describe the several scenarios in the evolutionary dynamics of white blood cells as a consequence of the efficacy of the different modeled therapies. The patient response to the therapy is investigated by simulating a drug administration following a continuous or pulsed time scheduling. A permanent disappearance of leukemic clones is achieved with a continuous therapy. This theoretical behavior is in a good agreement with that observed in previous clinical investigations. However, these findings demonstrate that an intermittent therapy could represent a valid alternative in patients with high risk of toxicity. A suitable tuned pulsed therapy can also reduce the probability of developing resistance.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Japan)

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Abbott LH, Michor F (2006) Mathematical models of targeted cancer therapy. Br J Cancer 95:1136–1141

    Article  PubMed  CAS  Google Scholar 

  • André N, Pasquier E (2009) Response to “intermittent androgen blockade should be regarded as standard therapy in prostate cancer". Nat Clin Pract Oncol 6:E1

    Article  PubMed  Google Scholar 

  • Barthe C, Cony-Makhoul P, Melo JV, Reiffers J, Mahon FX (2001) Roots of clinical resistance to STI-571 cancer therapy. Science 293:2163a

    Article  Google Scholar 

  • Brumer Y, Michor F, Shakhnovich EI (2006) Genetic instability and the quasispecies model. J Theor Biol 241:216–222

    Article  PubMed  CAS  Google Scholar 

  • Belloc F, Moreau-Gaudry F, Uhalde M, Cazalis L, Jeanneteau M, Lacombe F, Praloran V, Mahon FX (2007) Imatinib and nilotinib induce apoptosis of chronic myeloid leukemia cells through a bim-dependant pathway modulated by cytokines. Cancer Biol Ther 6:912–919

    Article  PubMed  CAS  Google Scholar 

  • Dingli D, Michor F (2006) Successful therapy must eradicate cancer stem cells. Stem Cells 24:2603–2610

    Article  PubMed  CAS  Google Scholar 

  • Faber E, Naušová J, Jarošová M, Egorin MJ, Holzerová M, Rožmanová S, Marešová I, Divoký V, Indrák K (2006) Intermittent dosage of imatinib mesylate in CML patients with a history of significant hematologic toxicity after standard dosing. Leuk Lymphoma 47:1082–1090

    Article  PubMed  CAS  Google Scholar 

  • Frank SA, Iwasa Y, Nowak M (2003) Patterns of cell division and the risk of cancer. Genetics 163:1527–1532

    PubMed  Google Scholar 

  • Garner AL, Lau YY, Jordan DW et al. (2006) Implications of a simple mathematical model to cancer cell population dynamics. Cell Prolif 39:15–28

    Article  PubMed  CAS  Google Scholar 

  • Hochhaus A, La Rosée P (2004) Imatinib therapy in chronic myelogenous leukemia: strategies to avoid and overcome resistance. Leukemia 18:1321–1331

    Article  PubMed  CAS  Google Scholar 

  • Horn M, Loeffler M, Roeder I (2008) Mathematical modeling of genesis and treatment of chronic myeloid leukemia. Cells Tissues Organs 188:236–247

    Article  PubMed  CAS  Google Scholar 

  • Ichimaru M, Ishimaru T, Mikami M, Yamada Y, Ohkita T (1981) Incidence of leukemia in a fixed cohort of atomic bomb survivors and controls, Hiroshima and Nagasaki, October 1950–December 1978. Technical Report no. 13-81. Hiroshima, Radiation Effects Research Foundation

  • Iwasa Y, Michor F, Nowak M (2004) Stochastic tunnels in evolutionary dynamics. Genetics 166:1571–1579

    Article  PubMed  Google Scholar 

  • Jackson AL, Loeb LA (1998) The mutation rate and cancer. Genetics 148:1483–1490

    PubMed  CAS  Google Scholar 

  • Knudson AG (2001) Two genetic hits (more or less) to cancer. Nat Rev Cancer 1:157–170

    Article  PubMed  CAS  Google Scholar 

  • Komarova NL, Wodarz D (2007) Stochastic modeling of cellular colonies with quiescence: an application to drug resistance in cancer. Theor Popul Biol 72:523–538

    Article  PubMed  Google Scholar 

  • Loeb LA, Essigmann JM et al.(2002) Lethal mutagenesis of HIV with mutagenic nucleoside analogs. Proc Natl Acad Sci 96:1492–1497

    Article  Google Scholar 

  • Martinelli G, Soverini S, Iacobucci I, Baccarani M (2009) Intermittent targeting as a tool to minimize toxicity of tyrosine kinase inhibitor therapy. Nat Clin Pract Oncol 6:68–69

    Article  PubMed  CAS  Google Scholar 

  • Michor F, Nowak M, Frank SA, Iwasa Y (2003) Stochastic elimination of cancer cells. Proc R Soc Lond B 270:2017–2024

    Article  Google Scholar 

  • Michor F, Hughes TP, Iwasa Y, Branford S, Shah NP, Sawyers CL, Nowak MA (2005) Dynamics of chronic myeloid leukemia. Nature 435:1267–1270

    Article  PubMed  CAS  Google Scholar 

  • Michor F, Nowak M, Iwasa Y (2006) Evolution of resistance to cancer therapy. Curr Pharm Des 12:261–271

    Article  PubMed  CAS  Google Scholar 

  • Michor F (2007) Chronic myeloid leukemia blast crisis arises from progenitors. Stem Cells 25:1114–1118

    Article  PubMed  CAS  Google Scholar 

  • Moran PAP (1962) The statistical processes of evolutionary theory. Oxford: Clarendon Press

    Google Scholar 

  • Müller MC, Lahaye T, Hochhaus A (2002) Resistance to tumor specific therapy with imatinib by clonal selection of mutated cells. Dtsch Med Wochenschr 127:2205–2207

    Article  PubMed  Google Scholar 

  • Nowak MA, Komarova NL, Sengupta A, Jallepalli PV, Shih I, Vogelstein B, Lengauer C (2002) The role of chromosomal instability in tumor initiation. Proc Natl Acad Sci 99:16226–16231

    Article  PubMed  CAS  Google Scholar 

  • Pizzolato N, Valenti D, Persano Adorno D et al. (2009) Evolutionary dynamics of imatinib-treated leukemic cells by stochastic approach. Cent Eur J Phys 7:541–548

    Article  CAS  Google Scholar 

  • Rea D, Etienne G, Corm S, Cony-Makhoul P, Gardembas M, Legros L, Dubruille V, Hayette S, Mahon F-X, Cayuela J-M, Nicolini FE (2009) Imatinib dose escalation for chronic phase-chronic myelogenous leukaemia patients in primary suboptimal response to imatinib 400 mg daily standard therapy. Leukemia 23:1193–1196

    Article  PubMed  CAS  Google Scholar 

  • Roeder I, Horn M, Glauche I, Hochhaus A, Mueller MC, Loeffler M (2006) Dynamic modeling of imatinib-treated chronic myeloid leukemia: functional insights and clinical implications. Nat Med 12:1181–1184

    Article  PubMed  CAS  Google Scholar 

  • Sabnis GJ, Macedo LF, Goloubeva O, Schayowitz A, Brodie AMH (2008) Stopping treatment can reverse acquired resistance to letrozole. Cancer Res 68:4518–4524

    Article  PubMed  CAS  Google Scholar 

  • Seruga B, Tannock IF (2008) Intermittent androgen blockade should be regarded as standard therapy in prostate cancer. Nat Clin Pract Oncol 5:574–576

    Article  PubMed  CAS  Google Scholar 

  • Shah NP, Kantarjian HM, Kim D, Réa D, Dorlhiac-Llacer PE, Milone JH, Vela-Ojeda J, Silver RT, Khoury HJ, Charbonnier A, Khoroshko N, Paquette RL, Deininger M, Collins RH, Otero I, Hughes T, Bleickardt E, Strauss L, Francis S, Hochhaus A (2008) Intermittent target Inhibition with dasatinib 100 mg once daily preserves efficacy and improves tolerability in imatinib-resistant and -intolerant chronic-phase chronic myeloid leukemia. J Clin Oncol 26:3204–3212

    Article  PubMed  CAS  Google Scholar 

  • Sokal JE, Baccarani M, Russo D, Tura S. (1988) Staging and prognosis in chronic myelogenous leukemia. Semin Hematol 25:49–61

    PubMed  CAS  Google Scholar 

  • Vigneri P, Wang JY (2001) Induction of apoptosis in chronic myelogenous leukemia cells throught nuclear entrapment of BCR–ABL tyrosine kinase. Nat Med 7:228–234

    Article  PubMed  CAS  Google Scholar 

  • Weisberg E, Griffin JD (2001) Mechanisms of resistance imatinib (STI571) in preclinical models and in leukemia patients. Drugs Resist Updat 4:22–28

    Article  CAS  Google Scholar 

  • Weisberg E, Griffin JD (2003) Resistance to imatinib (Glivec): update on clinical mechanisms. Drugs Resist Updat 6:231–238

    Article  CAS  Google Scholar 

  • Zhdanov VP (2008) Stochastic model of the formation of cancer metastases via cancer stem cells. Eur Biophys J 37:1329–1334

    Article  PubMed  Google Scholar 

Download references

Acknowledgements

This study was partially supported by MIUR. N. P. wish to thank Prof. Clementina Caracciolo and Dr. Rita Barone of the Department of Hematology and Bone Marrow Transplant Unit, Palermo-Italy, for helpful discussions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nicola Pizzolato.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pizzolato, N., Persano Adorno, D., Valenti, D. et al. Stochastic dynamics of leukemic cells under an intermittent targeted therapy. Theory Biosci. 130, 203–210 (2011). https://doi.org/10.1007/s12064-011-0127-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12064-011-0127-y

Keywords

Navigation