Skip to main content
SpringerLink
Log in
Book cover

International Conference on Next Generation Computing Technologies

NGCT 2017: Smart and Innovative Trends in Next Generation Computing Technologies pp 390–404Cite as

An Analytical Approach for the Determination of Chemotherapeutic Drug Application Trade-Offs in Leukemia

  • Conference paper
  • First Online:

  • 1343 Accesses

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 827))

Abstract

For the treatment of different leukemia different chemotherapies are available. However the success rate of any particular drug scheduling may vary with leukemic condition. In general, low dose of chemotherapy is suggested for chronic leukemia, whereas application of high dose (myeloablative) chemotherapy is applied for acute and vigorous type of leukemia. In present work we have shown that chronic type of leukemia is controlled; however, for controlling vigorously growing leukemia is a challenge due to chemotherapeutic toxicity to the normal cells of the hematopoietic system. Hence for its management, we developed a control analysis model. This model may help to design an optimal chemotherapeutic schedule so that the controlling of the vigorously growing leukemic growth can be possible in one hand with the sustenance of the normal non-leukemic cell population on the other hand. This work shows that for long-term chemotherapeutic success in individual leukemic patients demands a judicious choice of drug dosing strategy that may determine the trade-off between leukemic growth and restoration time of normal cell population of the hematopoietic system.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Ogawa, M.: Differentiation and proliferation of hematopoietic stem cells. Blood 81, 2844–2853 (1993)

    Google Scholar 

  2. Orkin, S.H.: Hematopoiesis: how does it happen? Curr. Opin. Cell Biol. 7, 870–877 (1995)

    Article  Google Scholar 

  3. Peschle, C., Botta, R., Muller, R., Valtieri, M., Ziegler, B.: Purification and functional assay of pluripotent haematopoietic stem cells. Rev. Clin. Exp. Hematol. 5, 3–14 (2001). https://doi.org/10.1046/j.1468-0734.2001.00029.x

    Article  Google Scholar 

  4. Rubinow, S.I., Lebowitz, J.L.: A mathematical model of the acute myeloblastic leukemic state in man. Biophys. J. 16, 897–910 (1976). https://doi.org/10.1016/S0006-3495(76)85740-2

    Article  Google Scholar 

  5. Rubinow, S.I., Lebowitz, J.L.: A mathematical model of the chemotherapeutic treatment of acute myeloblastic leukemia. Biophys. J. 16, 1257–1271 (1976). https://doi.org/10.1016/S0006-3495(76)85772-4

    Article  Google Scholar 

  6. Djulbegovic, B., Svetina, S.: Mathematical model of acute myeloblastic leukaemia: an investigation of the relevant kinetic parameters. Cell Prolif. 18, 307–319 (1985)

    Article  Google Scholar 

  7. Colijn, C., Mackey, M.C.: A mathematical model of hematopoiesis—I. Periodic chronic myelogenous leukemia. J. Theoret. Biol. 237, 117–132 (2005)

    Article  MathSciNet  Google Scholar 

  8. Colijn, C., Mackey, M.C.: A mathematical model of hematopoiesis: II. Cyclical neutropenia. J. Theoret. Biol. 237, 133–146 (2005)

    Article  MathSciNet  Google Scholar 

  9. Colijn, C., Fowler, A.C., Mackey, M.C.: High frequency spikes in long period blood cell oscillations. J. Math. Biol. 53, 499–519 (2006). https://doi.org/10.1007/s00285-006-0027-9

    Article  MathSciNet  MATH  Google Scholar 

  10. Haurie, C., Dale, D.C., Rudnicki, R., Mackey, M.C.: Modeling complex neutrophil dynamics in the grey collie. J. Theoret. Biol. 204, 505–519 (2000)

    Article  Google Scholar 

  11. Michor, F., Hughes, T.P., Iwasa, Y., Branford, S., Shah, N.P., et al.: Dynamics of chronic myeloid leukemia. Nature 435, 1267–1270 (2005). https://doi.org/10.1038/nature03669

    Article  Google Scholar 

  12. ten Cate, B., de Bruyn, M., Wei, Y., Bremer, E., Helfrich, W.: Targeted elimination of leukemia stem cells: a new therapeutic approach in hemato-oncology. Curr. Drug Targets 11, 95–110 (2010). https://doi.org/10.2174/138945010790031063

    Article  Google Scholar 

  13. Kim, P.S., Lee, P.P., Levy, D.: Dynamics and potential impact to chronic myelogenous leukemia. PLoS Comput. Biol. 4, e1000095 (2008). https://doi.org/10.1371/journal.pcbi.1000095

    Article  MathSciNet  Google Scholar 

  14. Peet, M.M., Kim, P.S., Niculescu, S.I., Levy, D.: New computational tools for modeling chronic myelogenous leukemia. Math. Model. Nat. Phenom. 4, 48–68 (2009). https://doi.org/10.1051/mmnp/20094203

    Article  MathSciNet  MATH  Google Scholar 

  15. Pefani, E., Panoskaltsis, N., Mantalaris, A., Georgiadis, M.C., Pistikopoulos, E.N.: Design of optimal patient-specific chemotherapy protocols for the treatment of acute myeloid leukemia. Comput. Chem. Eng. 57, 187–195 (2013)

    Article  Google Scholar 

  16. Pefani, E., Panoskaltsis, N., Mantalaris, A., Georgiadis, M.C., Pistikopoulos, E.N.: Chemotherapy drug scheduling for the induction treatment of patients with acute myeloid leukemia. IEEE Trans. Biomed. Eng. 61, 2049–2056 (2014). https://doi.org/10.1109/TBME.2014.2313226

    Article  Google Scholar 

  17. Savvopoulos, S., Misener, R., Panoskaltsis, N., Pistikopoulos, E.N., Mantalaris, A.: A personalized framework for dynamic modeling of disease trajectories in chronic lymphocytic leukemia. IEEE Trans. Biomed. Eng. 63, 2396–2404 (2016). https://doi.org/10.1109/TBME.2016.2533658

    Article  Google Scholar 

  18. Dhar, P.K., Mukherjee, A., Majumder, D.: Difference delay equation based analytical model of hematopoiesis. Autom. Control Physiol. State Funct. 1, 1–11 (2012). https://doi.org/10.4303/acpsf/235488

    Article  Google Scholar 

  19. Dhar, P.K., Majumder, D.: Development of the analytical model for the assessment of the efficiencies of different therapeutic modalities in leukaemia. J. Comput. Syst. Biol. 1, 1–45 (2015). https://doi.org/10.15744/2455-7625.1.104

    Article  Google Scholar 

  20. Dhar, P.K., Naskar, T.K., Majumder, D.: Analytical model for the assessment of efficiency of stem cell transplantation with suicidal gene construct for the treatment of leukemia. J. Oncol. Trans. Res. 1, 1–5 (2015). https://doi.org/10.4172/jotr.1000103

    Article  Google Scholar 

  21. Yi, S., Nelson, P.W., Ulsoy, A.G.: Analysis and control of time delayed systems via the Lambert W funtion. In: Proceedings of 17th World Congress, The International Federation of Automatic Control, Seoul, Korea, pp. 13414–13419 (2008)

    Article  Google Scholar 

  22. Kitano, H.: Violations of robustness trade-offs. Mol. Syst. Biol. 6, 1–8 (2010). https://doi.org/10.1038/msb.2010.40

    Article  Google Scholar 

  23. Gatenby, R.A.: A change of strategy in the war on cancer. Nature 459, 508–509 (2009)

    Article  Google Scholar 

  24. Mukherjee, A., Majumder, D.: Dynamical model for the assessment of anti-angiogenic therapy of cancer. Mol. BioSyst. 6, 1047–1055 (2010)

    Article  Google Scholar 

  25. Majumder, D., Mukherjee, A.: A passage through systems biology to systems medicine: adoption of middle-out rational approaches towards the understanding of clinical outcome in cancer therapy. Analyst 136, 663–678 (2011). https://doi.org/10.1039/c0an00746c

    Article  Google Scholar 

  26. Majumder, D., Mukherjee, A.: Multi-scale modeling approaches in systems biology towards the assessment of cancer treatment dynamics: adoption of middle-out rationalist approach. Adv. Cancer Res. Treat. 2013, Article ID 587889 (2013). https://doi.org/10.5171/2013/587889

Download references

Author information

Authors and Affiliations

  1. ECE Department, BCET, SSB Sarani, Bidhannagar, Durgapur, Burdwan, 713212, West Bengal, India

    Probir Kumar Dhar

  2. Mechanical Engineering Department, Jadavpur University, 188 RSC Mallick Road, Kolkata, 700032, India

    Probir Kumar Dhar & Tarun Kanti Naskar

  3. Department of Physiology, West Bengal State University, Malikapur, Barasat, Kolkata, 700126, India

    Durjoy Majumder

  4. Society for Systems Biology & Translational Research, 103, Block – C, Bangur Avenue, Kolkata, 700055, India

    Tarun Kanti Naskar & Durjoy Majumder

Authors
  1. Probir Kumar Dhar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tarun Kanti Naskar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Durjoy Majumder
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Durjoy Majumder .

Editor information

Editors and Affiliations

  1. Indian Institute of Technology Patna, Patna, Bihar, India

    Pushpak Bhattacharyya

  2. University of Petroleum and Energy Studies, Dehradun, India

    Hanumat G. Sastry

  3. University of Petroleum and Energy Studies, Dehradun, India

    Venkatadri Marriboyina

  4. University of Petroleum and Energy Studies, Dehradun, India

    Rashmi Sharma

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Dhar, P.K., Naskar, T.K., Majumder, D. (2018). An Analytical Approach for the Determination of Chemotherapeutic Drug Application Trade-Offs in Leukemia. In: Bhattacharyya, P., Sastry, H., Marriboyina, V., Sharma, R. (eds) Smart and Innovative Trends in Next Generation Computing Technologies. NGCT 2017. Communications in Computer and Information Science, vol 827. Springer, Singapore. https://doi.org/10.1007/978-981-10-8657-1_30

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-8657-1_30

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-8656-4

  • Online ISBN: 978-981-10-8657-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation