Biographical Sketch

Education

• B.S., Mathematics (Magna Cum Laude), University of Puerto Rico, Cayey, 1986.
• M.S., Applied Mathematics, University of Puerto Rico, Río Piedras, 1990.
• Ph.D., Applied Mathematics, State University of New York at Stony Brook, 1998.

Academic Positions

• Professor, Department of Computer Science, University of Puerto Rico, Río Piedras, 2012-2022 (Retire)
• Associate Professor, Department of Computer Science, University of Puerto Rico, Río Piedras, 2007-2012
• Associate Professor, Department of Mathematics, University of Puerto Rico, Río Piedras, 2003-2007
• Assistant Professor, Department of Mathematics and Computer Science, University of Puerto Rico, Río Piedras, 1998-2003
• Visiting Assistant Professor, Department of Mathematics, Duke University, Durham, North Carolina, 2000-2001

Research Interests

Publications

1. Mariano Marcano, Amitabha Bose, and Paul Bayman. A one-dimensional map to study multi-seasonal coffee infestation by the coffee berry borer. Mathematical Biosciences, 333, March 2021. DOI: 10.1016/j.mbs.2020.108530 [Preprint]
2. Mónica Nadal-Quirós, Leon Moore, and Mariano Marcano. Parameter estimation for a mathematical model of a non-gastric H+(Na+)/K+(NH4+) ATPase, Am. J. Physiol. Renal Physiol., 309: F434–F446, 2015. DOI: 10.1152/ajprenal.00539.2014
3. Claudia Patricia Ruiz-Diaz, Carlos Toledo-Hernández, Alberto M. Sabat, Mariano Marcano. Immune response to a pathogen in corals. Journal of Theoretical Biology, 332, 141-148, 2013. DOI: 10.1016/j.jtbi.2013.04.028
4. Aniel Nieves-González, Chris Clausen, Mariano Marcano, Anita T. Layton, Harold E. Layton, and Leon C. Moore. Fluid Dilution and Efficiency of Na+ Transport in a Mathematical Model of a Thick Ascending Limb Cell. Am. J. Physiol. Renal Physiol., 304, 6, F634 -F652, 2013. DOI: 10.1152/ajprenal.00100.2012
5. Miguel A. Acevedo, Mariano Marcano, Robert J. Fletcher, Jr. A diffusive logistic growth model to describe forest recovery. Ecological Modelling, 244:13-19, 2012. DOI: 10.1016/j.ecolmodel.2012.07.012
6. Mariano Marcano, Anita T. Layton, and Harold E. Layton. Maximum Urine Concentrating Capability in a Mathematical Model of the Inner Medulla of the Rat Kidney. Bull. Math. Biol. 72(2):314-339, 2010. DOI: 10.1007/s11538-009-9448-0
7. Mariano Marcano, Hun-Mo Yang, Aniel Nieves-González, Chris Clausen, and Leon C Moore. Parameter Estimation for Mathematical Models of NKCC2 Cotransporter Isoforms. Am. J. Physiol. Renal Physiol. 296: F369-F381, 2009.
DOI: 10.1152/ajprenal.00096.2008
8. Mariano Marcano, Anita T. Layton, and Harold E. Layton. An Optimization Algorithm for a Distributed-Loop Model of an Avian Urine Concentrating Mechanism. B. Math. Biol., 68: 1625-1660, 2006. DOI: 10.1007/s11538-006-9087-1
9. M. Marcano-Velázquez and H. E. Layton. An Inverse Algorithm for a Mathematical Model of an Avian Urine Concentrating Mechanism. B. Math. Biol., 65(4):665-691, 2003. DOI: 10.1016/S0092-8240(03)00029-6
10. R. P. Tewarson, W. Toro, and M. Marcano. Preferential interaction and inverse problem algorithms in models of renal concentrating mechanism. Appl. Math. Lett., 11:3, 51-59, 1998. DOI: 10.1016/S0893-9659(98)00033-0
11. R. P. Tewarson and M. Marcano. Use of generalized inverse in a renal optimization problem. Inverse Probl. Eng., 5, 1-9, 1997. DOI: 10.1080/174159797088027649
12. M. Marcano-Velázquez and P. V. Negrón-Marrero. The numerical solution of the von Kármán equations using multigrid methods. Congr. Numer., 94, 17-28, 1993.

Grants

• Optimal Mathematical Models of Renal Transport Processes. Principal Investigator. National Institutes of Health (NIH) Grant 1SC1GM084744, $596,000, August 1, 2008-July 31, 2013.
• Mathematical modeling and inverse problem for the urine concentrating mechanism. Principal Investigator of a pilot project in Support for Continuous Research Excellence (MBRS-SCoRE) program through the NIH Grant S06GM08102, $105,000, August 1, 2004-July 31, 2007.
• Mathematical models for the urine concentrating mechanism: Direct and inverse problems, Puerto Rico Experimental Program to Stimulate Competitive Research (PR-EPSCoR) start-up funds through the NSF Grant EPS-0223152, $107,594, January 1, 2004-July 31, 2005.
• PI, Mathematical modeling and inverse problem for the urine concentrating mechanism, UPR Institutional Research Fund (FIPI), $21,200, July, 2003-June, 2005.
• PI, Mathematical Model and Numerical Solution for the Kidney Concentrating Mechanism, FIPI, $7,700, 1999-2000 and $9,695, 2001-2002.
• Numerical Solution of Renal Transport Equations, PI, Reginald P. Tewarson, Research Supplement for Under Represented Minorities for Mariano Marcano, National Institute of Diabetes and Digestive and Kidney Diseases, NIH, number: 3R01DK1759318S1, 1995-1997.