Contact Information

Office: MH 104K

Phone: 657-278-3670


Anael Verdugo

Associate Professor


PhD, Cornell University

MS, Cornell University

BA, California Institute of Technology

Research Areas

Applied Mathematics; Nonlinear dynamics; Differential Equations; Mathematical Biology

Courses Regularly Taught

Numerical Analysis, Differential Equations, Mathematical Computation.


  • Serrano I, Suceava B, Verdugo A. “Pleasure, imagination, fear and joy: applied themes in Nicole Oresme’s De Configurationibus.” Memoirs of the Scientific Sections of the Romanian Academy, XLI (2018)
  • Verdugo A. “Linear analysis of an integro-differential delay equation model.” International Journal of Differential Equations, 5035402:1-6 (2018)
  • Verdugo A. “Mathematical analysis of a biochemical oscillator with delay.” Journal of Computational and Applied Mathematics, 291:66-75 (2016)
  • Verdugo A, Vinod PK, Tyson JJ, Novak B. “Molecular mechanisms creating bistable switches at cell cycle transitions.” Open Biology, 3:120179 (2013)
  • Tyson JJ, Baumann WT, Chen C, Verdugo A, Tavassoly I, Wang Y, Weiner LM, Clarke R. "Dynamic modelling of oestrogen signalling and cell fate in breast cancer cells." Nature Rev Cancer, 11(7):523-532 (2011)
  • Verdugo A and Rand R. "Hopf bifurcation in a DDE model of gene expression." Communications in Nonlinear Science and Numerical Simulations, 13:235-242 (2008)

Scholarly Work

The main focus of my research is to build mathematical models of cellular regulatory networks to gain a deeper understanding of cell physiology. The interdisciplinary nature of my work has allowed me to cross boundaries between traditional fields in applied mathematics and the biological sciences. As a result, my work relies on a tight integration of theoretical and empirical results and it can be summarized in the following three areas:

  1. Dynamic modeling of stress responses
  2. Mathematical analysis of small biological networks
  3. Computational studies of biological oscillators

I am currently collaborating with biologists to build, analyze, and validate dynamic models of cellular pathways, which are then used to predict novel physiological behavior. I also work on mathematical questions inspired by biological systems. Some of my current and previous projects include the use and study of nonlinear differential equations, dynamical systems and bifurcation theory.