Welcome to my home page - I am an assistant professor at the Mathematics Department of the University of California, Irvine, and I'm part of the interdisciplinary initiative in Mathematical, Computational and Systems Biology at UCI. I received my PhD degree in Mathematics at Rutgers University under professor Eduardo Sontag, studying monotone dynamical systems and their applications to biological problems. I was also a postdoctoral researcher at Harvard Medical School, Department of Systems Biology under professor Jeremy Gunawardena, and the Mathematical Biosciences Institute.
My research focuses on the theoretical aspects of gene regulation, from proving mathematical results about the dynamical behavior of specific network topologies, to modeling special systems in collaboration with experimental biologists. My previous biological collaborations include work on signal transduction, cell cycle regulation, neuroscience, and cancer biology.
A.K. Manrai, G. Enciso, J. Gunawardena, Uncovering the regulatory mechanisms of receptor tyrosine kinases: An analysis of the phosphoform distribution, in preparation
S.L. Harvey, G. Enciso, J. Gunawardena, D.R. Kellogg, Regulation of Cdk1 activity in early mitosis: A novel mechanism for modulation of kinase signal strength, in preparation
W. Just, G. Enciso, Chaotic behavior for cooperative Boolean networks, submitted
G. Enciso, M. Rempe, A.V. Dmitriev, D. Terman, S.C. Mangel, A mathematical model of signal propagation in the starburst amacrine cell network, submitted
G. Enciso, W. Just, Large attractors in cooperative bi-quadratic Boolean networks, Part I, submitted, Arxiv preprint
W. Just, G. Enciso, Analogues of the Hirsch and Smale theorems for cooperative Boolean and discrete systems, submitted, Arxiv preprint
G. Enciso, On a Smale theorem and nonhomogeneous equilibria in cooperative systems, Proceedings of the American Mathematical Society 136(8):2901-2909, 2008 ( PDF )
G. Enciso, E. Sontag, Monotone Bifurcation Graphs, Journal of Biological Dynamics 2(2):121-139, 2008 ( PDF )
G. Enciso, A dichotomy for a class of cyclic delay systems. Mathematical Biosciences 208:63-75, 2007 ( PDF ).
G. Enciso, M. W. Hirsch, H.L. Smith, Prevalent behavior of strongly order preserving semiflows, Journal of Dynamics and Differential Equations 20(1):115-132, 2008 ( PDF )
B. DasGupta, G. Enciso, E. Sontag, Y. Zhang, Algorithmic and complexity results for decompositions of biological networks into monotone subsystems, Lecture Notes in Computer Science 4007: Experimental Algorithms, pp. 253-264, Springer Verlag, 2006 ( PDF ).
G. Enciso, H. Smith, E. Sontag, Non-monotone systems decomposable into monotone systems with negative feedback, Journal of Differential Equations 224:205-227, 2006 ( PDF )
G. Enciso, E. Sontag, Global attractivity, I/O monotone small-gain theorems, and biological delay systems, Discrete and Continuous Dynamical Systems 14:549-578, 2006 ( PDF )
G. Enciso, E. Sontag, Monotone systems under positive feedback: multistability and a reduction theorem, Systems and Control Letters 51(2):185-202, 2005 ( PDF )
G. Enciso, E. Sontag, On the stability of a model of testosterone dynamics, Journal of Mathematical Biology 49:627-634, 2004 ( PDF )
X. Caicedo, G. Enciso, The Hahn Banach theorem as a choice axiom, Colombian Academy of Sciences Review XXVIII:11-20, 2004 (in Spanish) ( PDF )
G. Enciso, On the asymptotic behavior of a cyclic biochemical system with delay, to appear in the Proc. of the IEEE Conf. Decision and Control, San Diego, CA, Dec. 2006 ( PDF )
B. DasGupta, G. Enciso, E. Sontag, Y. Zhang, Algorithmic and complexity results for decompositions of biological networks into monotone subsystems, Fifth International Workshop on Experimental Algorithms (2006)
G. Enciso, E. Sontag, A remark on multistability for monotone systems II, Proc. IEEE Conf. Decision and Control, Seville, Dec. 2005, IEEE Publications, pp. 2957-2962, 2005 ( PDF )
G. Enciso, E. Sontag, A remark on multistability for monotone systems, Proc. IEEE Conf. Decision and Control, Paradise Island, Bahamas, Dec. 2004, IEEE Publications, pp. 249-254, 2004 ( PDF )
G. Enciso, Monotone Input/Output Systems and Applications to Biological Systems, thesis dissertation under the direction of E. Sontag, Rutgers University, 2006 (PDF)
A. DeWitt, S. Bayram, G. Enciso, H. Fernando, J. Kao, B. Pagnoncelli, D. Schmidt, J.A.S. Hameed, Data to knowledge in pharmaceutical research, Mathematical Modeling in Industry Workshop Report, IMA, Minneapolis, 2004 ( PDF )
G. Enciso, La Fuerza de Eleccián del Teorema de Hahn-Banach, Undergraduate Thesis, Universidad de los Andes, Bogotá, 2000
Feel free to leave feedback at german dot enciso @ gmail dot com