DanielleLyles

Ithaca is a wonderful place to live!  To see pictures of Ithaca in the Fall, click here.

Education           My major advisor is John Guckenheimer, Professor of Mathematics in the Mathematics Department here at Cornell.  I also have two minor advisors:  Richard
          Rand, Professor in Theoretical and Applied Mechanics, and David McCobb, Professor in Neurobiology and Behavior, both here at Cornell.  8-)
          I did some research in the area of mathematical biology while I was an undergraduate with Mary Lou Zeeman, Professor in the Applied Mathematics
          Department at UTSA.  Under her supervision, I wrote an undergraduate honors thesis titled "Modeling Follicular Growth and Selection in the Human
          Menstrual Cycle".

Curriculum Vitae

See my CV (coming soon!)

Teaching

Research

My research tends to focus on using differential equations to model physiological processes and then using dynamical systems theory (both analytic and
numerical methods) to better understand  the physiology and help guide both experimentalists and doctors towards an understanding of the process.

I began my career in mathematical biology as an undergraduate studying the dynamics of follicular growth and selection in the menstrual cycle, under the
guidance of Mary Lou Zeeman.  During my first two years of graduate school, I enjoyed the support of an IGERT fellowship in nonlinear dynamics during
which I studied the dynamics of the LH surge that occurs during the menstrual cycle (this surge of LH, or Luteinizing Hormone, causes the selected follicle
to release its egg, ovulation!).  This LH surge has been said to have "defied compelling explanation" and is a fundamental open question in reproductive
physiology.  8-)

          Lyles D, Tien JH, & Zeeman ML, A Mathematical Model of the LH Surge as a Consequence of the Effects of Estradiol on the Intrapituitary Folliculo-Stellate
          (FS) Cell Network, in process.  8-)
       
         Tien JH, Lyles D, & Zeeman ML, A potential role of modulating inositol 1,4,5-triphosphate receptor desensitization and recovery rates in regulating ovulation,
         Journal of Theoretical Biology, 232 (2005) 105-117.
       
         Hernandez R,Lyles D, Rubin D, & Voden T, A Model of Beta-cell Mass, Insulin, Glucose, and Receptor Dynamics with Applications to Diabetes,
         Cornell University Biometrics Technical Reports  2001                                                                                                                                                               
        
        "Modeling Follicular Growth and Selection in the Human Menstrual Cycle", undergraduate honors thesis 2000

Contact Information

Office location: 657 Rhodes Hall
Office hours: T 4-5pm, Fri 2:30-3:30pm
Email: danielle_lyles@cam.cornell.edu
Last Updated: 2/18/2005