International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

Analysis of G-CSF Treatment of CN using Fast Fourier Transform

Author Affiliations

  • 1Department of Mathematics, Sri Ramanujar Engineering College, Chennai-48, INDIA
  • 2 Professor and COE, Department of Mathematics, BS Abdur Rahman University, Chennai-48, INDIA

Res. J. Recent Sci., Volume 1, Issue (4), Pages 14-21, April,2 (2012)


In this research paper we try to find out and investigate the “Fast Fourier Transform model and G-CSF Treatment of CN(Cyclical Neutropenia)”, in detail. In this analysis of G-CSF treatment of ‘Neutropenia’, we get ‘data’ from CN. They are greycollies. They are usually used to build an extended model of it. It produces the dynamics of circulating blood cells. They arefound from the dogs with and without daily G-CSF therapy. It is a model which is very useful for collection of laboratory data.This mathematical model helps us to reproduce the large variation of data too. They occur from one dog to another. It has longterm effects on the oscillations when the frequency of drug delivery is made. This model is also useful to account for the featuresof untreated G-CSF. It is also useful for treatment of dogs with CN. Therefore this model is considered as an accomplished one.There is fitting parameters for 3 days and not for 4 dogs for estimation or evaluation. It is also essential and necessary to modelthe more samples for increase in Neutrophil amplification. The proposed interventions are practical. It may reduce the amountof G-CSF. It required potential maintenance. Sometimes, it may even improve the treatment effects too. This model gives us good result in treatment. The changes would be practical and reduce the risk side as well as the cost of treatment in G-CSF.


  1. Adimy M. and Crauste F., Global stability of a partial differential equation with distributed delay due to cellular replication, Nonlin. Analysis., 54, 1469–1491 (2003)
  2. Balamuralitharan S. and Rajasekaran S., A Mathematical Age-structured Model on Aiha Using Delay Partial Differential Equations. Australian Journal of Basic and Applied Sciences, 5(4), 9-15 (2011)
  3. Balamuralitharan S. and Rajasekaran S., A Mathematical Age-structured Model on CN Using Delay Partial Differential Equations, Proceedings of the International Conference on Emerging Trends in Mathematics and Computer Applications, MEPCO Schlenk Engineering College, Sivakasi, India, 183-187 (2010)
  4. B´elair J., Mackey M.C., and Mahaffy J.M., Age-structured and two-delay models for erythropoiesis, Math. Biosci., 128, 317–346 (1995)
  5. Bernard S., Belair J. and Mackey M., Oscillations in cyclical neutropenia: New evidence based on mathematical modeling, J. Theor. Biol., 223, 283–298 (2003)
  6. Beuter A., Glass L., Mackey M.C. and Titcombe M.S. Nonlinear Dynamics in Physiology and Medicine, Springer-Verlag (2003)
  7. Colijn C., Fowler A.C. and Mackey M.C., High frequency spikes in long period blood cell oscillations, J. Math. Biol., 53, 499–519 (2006)
  8. Dale D.C. and Hammond W.P., Cyclic neutropenia: A clinical review, Blood Rev., 2, 178–185 (1988)
  9. Foley C. and Mackey M., Dynamic hematological disease, A review, J. Math. Biol., In press (2008)
  10. Foley C., Bernard S. and Mackey M., Cost-effective G-CSF therapy strategies for cyclical neutropenia: Mathematical modelling based hypotheses, J. Theor. Biol., 238, 754–763 (2006)
  11. Haurie C., Dale D.C., Rudnicki R., and Mackey M.C. Modeling complex neutrophil dynamics in the grey collie, J. Theor. Biol., 204, 504–519 (2000)
  12. Mahaffy J., Belair J. and Mackey M., Hematopoietic model with moving boundary condition and state dependent delay: Applications in erythropoiesis, J. Theor. Bio., 190, 135–146 (1998)