Email: alanavc [at] math.uh.edu

Phone: +1 713.348.4393

May 2013 - Present

**Research**

Research summary: I am interested in developing and using mathematical tools to study biological systems such as gene or neural networks. I am currently working on modeling variability in clonal colonies of cells and time/space coding in neuronal populations.

**Background**

PhD. Mathematics, Virginia Tech. Blacksburg. VA, USA.

**Publications**

C. Curto, V. Itskov, A. Veliz-Cuba and N. Youngs. The Neural Ring: An Algebraic Tool for Analyzing the Intrinsic Structure of Neural Codes. Bulletin of Mathematical Biology. 75(9): 1571-1611, 2013.

A. Veliz-Cuba, K. Buschur, R. Hamershock, A. Kniss, E. Wolff and R. Laubenbacher. AND-NOT logic framework for steady state analysis of Boolean network models. Applied Mathematics and Information Sciences. 7(4): 1263-1274, 2013.

A. Veliz-Cuba.An Algebraic Approach to Reverse Engineering Finite Dynamical Systems Arising from Biology. SIAM Journal on Applied Dynamical Systems, 11(1):31-48, 2012.

A. Veliz-Cuba, J. Arthur, L. Hochstetler, V. Klomps and E. Korpi. On the Relationship of Steady States of Continuous and Discrete Models Arising from Biology. Bulletin of Mathematical Biology. 74(12), 2779-2792, 2012.

A. Veliz-Cuba and R. Laubenbacher. On the computation of fixed points in Boolean networks. Journal of Applied Mathematics and Computing, 39(1-2):145-153, 2012.

D. Murrugarra, A. Veliz-Cuba, B. Aguilar, S. Arat and R. Laubenbacher. Modeling Stochasticity and Variability in Gene Regulatory Networks. EURASIP Journal on Bioinformatics and Systems Biology, 2012:5.

A. Veliz-Cuba. Reduction of Boolean Network Models. Journal of Theoretical Biology, 289:167-172, 2011.

A. Veliz-Cuba and B. Stigler. Boolean Models can Explain Bistability in the lac Operon. Journal of Computational Biology, 18(6):783-794, 2011.

F. Hinkelmann, M. Brandon, B. Guang, R. McNeill, G. Blekherman, A. Veliz-Cuba and R. Laubenbacher. ADAM: Analysis of Discrete Models of Biological Systems Using Computer Algebra. BMC Bioinformatics, 12:295, 2011.

A. Veliz-Cuba, A. Jarrah and R. Laubenbacher. The Polynomial Algebra of Discrete Models in Systems Biology. Bioinformatics, 26:1637-1643, 2010.

A. Jarrah, R. Laubenbacher and A. Veliz-Cuba. The Dynamics of Conjunctive and Disjunctive Boolean Network Models. Bull. Math. Bio., 72(6):1425-1447, 2010.

E. Sontag, A. Veliz-Cuba, R. Laubenbacher and A. Jarrah. The Effect of Negative Feedback Loops on the Dynamics of Boolean Networks. Biophysical Journal, 95:518–526, 2008.