Lei, J.Z. and Mackey, M.C. (2014) Understanding and Treating Cytopenia through Mathematical Modeling. In: Corey, S., Kimmel, M. and Leonard, J., Eds., A Systems Biology Approach to Blood. Advances in Experimental Medicine and Biology, Volume 844, Springer, New York, NY, 279-302.

has been cited by the following article:

• TITLE: Periodic Oscillation in Neutrophil Models with Time Delays

  AUTHORS: Suqi Ma

  KEYWORDS: Bautin Bifurcation, Time Delay, Neutrophil Dynamics

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.6 No.4, November 28, 2017

  ABSTRACT: To understand dynamical characters of neutrophil dynamical behavior, the sensitivity of delay factors which has effects on system dynamic behavior is ubiquitous due to system’s highly nonlinearity. Here we prove that delay supports a subcritical Hopf bifurcation, underlying a feedback mechanism during stem cells proliferation process while changing its coefficient of amplification. The given cell model reproduces a bistable dynamic regime of blood cells and hysteresis. Applying multiple scale method, oscillation motion near Hopf point is discussed. The stability limit of steady state to be abruptly periodic solution is detected.