Anael Verdugo

Assistant Professor Department of Mathematics California State University, Fullerton Fullerton, CA 92834 Email: Tel: 657-278-5829 Fax: 657-278-3972

Link to Anael Verdugo at CSUF
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Previous position at VT: Postdoctoral Fellow, 2009-11.

Current Research Interests

I worked as an NSF Postdoctoral Fellow with Dr. John Tyson at the Biological Sciences Department at Virginia Tech. My research involved building mathematical models of cellular and molecular signaling mechanisms in estrogen receptor positive breast cancer cells. Mathematical areas of interest include nonlinear dynamics and bifurcation theory.


Ph.D. 2009 Cornell University, Applied Mathematics.
M.S. 2007 Cornell University, Applied Mathematics.
B.S. 2003 California Institute of Technology, Mathematics.

Professional Experience

For a detailed description of Anael' professional experience, please visit his Home Page at Fullerton.


Verdugo, A., Vinod, P.K., Tyson, J.J., and Novak, B. (2013). Moleclar mechanisms creating bi-stable switches at cell cycle transitions. Open Biol 3: 120179.
[Abstract] [Article]
Clarke, R., Shajahan, A.N., Wang, Y., Tyson, J.J., Riggins, R.B., Weiner, L.M., Baumann, W.T., Xuan, J., Zhang, B., Facey, C.,Aiyer, H., Cook, K., Hickman, F. E.,Tavassoly, I., Verdugo, A., Chen, C., Zwart, A., Warri, A., and Hilakivi-Clarke, L. A. (2011). Endoplasmic reticulum stress, the unfolded protein response, and gene network modeling in antiestrogen resistant breast cancer. Hormone Mol. Biol. Clin. Invest 5: 35-44.
Tyson, J.J., Baumann, W.T., Chen, C., Verdugo, A., Tavassoly, I., Wang, Y., Weiner, L.M., and Clarke, R. (2011). Dynamic modelling of eostrogen signalling and cell fate in breast cancer cells. Nat. Rev. Cancer 11: 523-532.
[Abstract] [Article]
Bridge J., Mendelowitz L., Rand R., Sah S., and Verdugo, A. (2009). Dynamics of a ring of three coupled relaxation oscillators. Commun. Nonlinear Sci. Numer Simulat. 14:1598-1608.
Mendelowitz, L., Verdugo, A., and Rand, R. (2009) Dynamics of three coupled limit cycle oscillators with application to artificial intelligence. Commun. Nonlinear Sci. Numer. Simulat. 14:270-283.
Verdugo, A. and Rand, R. (2008) Hopf bifurcation in a DDE Model of gene expression. Commun. Nonlinear Sci. Numer. Simulat. 13:235-242.
Verdugo, A. and Rand, R. (2008) Center manifold analysis of a DDE Model of gene expression. Comm. Nonlinear Sci. Numer. Simulat. 13:1112-1120.
Rand, R. and Verdugo, A. (2007). Hopf bifurcation formula for first order differential-delay equations. Comm. Nonlin. Sci. Numer. Simulat. 12:859-864.

Conference Proceedings

Verdugo A. and Rand R. (2008). DDE model of gene expression: a continuum approach. Proceedings of the 2008 IMECE-ASME International Mechanical Engineering Congress, paper no. IMECE2008-66321
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Verdugo, A. and Rand, R. (2007). Delay differential equations in the dynamics of gene copying. Proceedings of the 2007 ASME International Design Engineering Technical Conferences, paper no. DETC2007-34214.
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Anael grew up in a small and beautiful town in Mexico. After graduating high school, he was blessed for the opportunity to work with some of the best researchers in applied mathematics at Caltech and Cornell University. As a postdoctoral associate he had a chance to work at the Tyson Lab (Virginia Tech), Novak Lab (Oxford University) and Laubenbacher Lab (Virginia Bioinformatics Institute). He is now an Assistant Professor of Applied Mathematics at the California State University Fullerton.