University of Puerto Rico–Río Piedras Campus
Department of Computer Science

Mariano Marcano Office: C-126 Extension: 4698 Website: http://epsilon.uprrp.edu/mmarcano Email: mariano.marcano@upr.edu

• Ph.D. in Applied Mathematics. Stony Brook University (1998)
• M.Sc. in Applied Mathematics. University of Puerto Rico (1990)
• B.Sc. in Mathematics. University of Puerto Rico (1986)

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Research Areas

Mathematical and Computational Biology: Inverse problems in renal physiology

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Publications

Articles

Published
• Aniel Nieves–González, Chris Clausen, Mariano Marcano, Anita T. Layton, Harold E. Layton (2013). 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
  http://ajprenal.physiology.org/content/early/2012/10/17/ajprenal.00100.2012
• Miguel A. Acevedo, Mariano Marcano, Robert J. Fletcher, Jr. (2012). A diffusive logistic growth model to describe forest recovery. Ecological Modelling, 244, 13-19
  http://dx.doi.org/10.1016/j.ecolmodel.2012.07.012
• Mariano Marcano, Anita T. Layton, and Harold E. Layton (2010). Maximum Urine Concentrating Capability in a Mathematical Model of the Inner Medulla of the Rat Kidney. Bull. Math. Biol., 72, 2, 314-339
  http://www.springerlink.com/content/t774v4x71g01m81g/
• Mariano Marcano, Hun-Mo Yang, Aniel Nieves-Gonzalez, Chris Clausen, and Leon C Moore (2009). Parameter Estimation for Mathematical Models of NKCC2 Cotransporter Isoforms. Am. J. Physiol. Renal Physiol, 296, F369-F381
  http://ajprenal.physiology.org/content/296/2/F369.short
• Mariano Marcano, Anita T. Layton, and Harold E. Layton (2006). An Optimization Algorithm for a Distributed-Loop Model of an Avian Urine Concentrating Mechanism. B. Math. Biol. , 68, 1625-1660
  http://www.springerlink.com/content/0155k7j40832m150/
• M. Marcano-Velazquez and H. E. Layton (2003). An Inverse Algorithm for a Mathematical Model of an Avian Urine Concentrating Mechanism. B. Math. Biol, 65, 4, 665-691
  http://www.springerlink.com/content/t10p166m67108187/
• R. P. Tewarson, W. Toro, and M. Marcano (1998). Preferential interaction and inverse problem algorithms in models of renal concentrating mechanism. Appl. Math. Lett., 11, 3, 51-59
  
• R. P. Tewarson and M. Marcano (1997). Use of generalized inverse in a renal optimization problem. Inverse Probl. Eng., 5, 1-9
  
• M. Marcano-Velazquez and P. V. Negron-Marrero (1993). The numerical solution of the von Kármán equations using multigrid methods. Congr. Numer., 94, 17-28
  

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Professional Activities

Talks

• Parameter Computation for Urine Dilution and Concentration in a Mathematical Model of a Neonatal Kidney, International Congress in Industrial and Applied Mathematics, Vancouver, BC, Canada (2011)
• Parameter computation for a Mathematical Model of the urine concentrating process of neonatal Rats, Society of Mathematical Biology 2010–BIOMAT 2010, Rio de Janeiro, Brazil (2010)
• Optimization Problems and Algorithms for Mathematical Models of Renal Systems, Mathematical Biosciences Institute Workshop 5, The Kidney: Cellular, Tubular, and Vascular Physiolog (2007)
• Estimation of Parameters for Maximum Urine Concentrating Capability in a Mathematical Model of the Rat Inner Medulla, Joint SMB–SIAM Conference on the Life Sciences, Annual Meeting of The Society of Mathematical (2006)
• Reduced–gradient and genetic algorithms for an inverse algorithm of the urine concentrating mechanism, International Conference for Mathematics in Biology and Medicine, Ann Arbor, Michigan (2004)
• A Least Square Technique to Compute the Parameters in the Urine Concentrating Mechanism, 2000 SIAM Annual Meeting, Rio Grande, Puerto Rico (2000)

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Grants

Current

• Optimal Mathematical Models of Renal Transport Processes, NIH
  Role: PI (Principal Investigator)
  Start date: August 1, 2008 | End date: July 31, 2013

Completed

• Mathematical models for the urine concentrating mechanism: Direct and inverse problems, NSF-PR-EPSCoR
  Role: PI (Principal Investigator)
  Start date: January 1, 2004 | End date: July 31, 2005
• Mathematical modeling and inverse problem for the urine concentrating mechanism, NIH
  Role: PI (Principal Investigator)
  Start date: August 1, 2004 | End date: July 31, 2007