Professor of Mathematics

B.S., magna cum laude, University of the Philippines, 1977;

M.S., Ph.D., University of Delaware, 1982, 1996







The Kurzweil-Henstock Integral: Applications to Ordinary Differential Equations, Differential Inclusions, and Banach Space-Valued Multifunctions

Supervisor: Thomas S. Angell, Ph.D

Research Interests:

Theory of Differential Equations; Fixed Point Theorems; Quantitative Approaches to Cancer/Disease Modeling


P. Macansantos and V. Quaranta,Quantitative Approaches to Heterogeneity and Growth Variability in Cell Populations,” in Managing Complexity, Reducing Perplexity, Springer Proceedings in Mathematics & Statistics 67, M. Delitala and G. Ajmone Marsan (eds.),  Springer International Publishing Switzerland,  2014, pp. 15-27.

P. S. Macansantos, A Generalized Nadler-type theorem in partial metric spaces, Int. Journal of Math. Analysis, Vol. 7 (2013) No.7, 343-348

P. S. Macansantos, A Fixed Point Theorem for Multifunctions in Partial Metric spaces, Journal of Nonlinear Analysis and Applications, 2013, 1-7.

R. O. Gregorio and P. S. Macansantos, Fixed point theorems and stability of fixed point sets of multivalued mappings, Advances in Fixed Point Theory, Vol. 3, No. 4, 2013.

P. S. Macansantos, “Volterra Integral Inclusions: Existence of Solutions,” Contemporary Mathematics 428 (Harmonic Analysis, Partial Differential Equations, and Related Topics), Estela Gavosto, Marianne Korten, Charles Moore, Rodolfo Torres, Editors, American Mathematical Society,  Providence, RI, 2007.

P. S. Macansantos, “Generalized Differential Inclusions on a Hilbert space,” Proceedings of the Fourth Sino-Philippines Mathematics Symposium, Fu Jen Catholic University, Taipei, Taiwan, March 2002.

P. S. Macansantos, “An Existence Theorem for Differential Inclusions Using the Kurzweil Integral,” Science Diliman (A Journal of Pure and Applied Sciences), 10:1, January - June 1998, 31-38.

P. S. Macansantos, “Differential Inclusions : Existence of Solutions,” Matimyás Matematika (official journal of the Mathematical Society of the Philippines), 20:1, Jan. 1997,  8-14.

P. S. Macansantos, “Kneser’s Theorem for Multivalued Differential Delay Equations Using the Kurzweil Integral of a Multifunction,” Proceedings of the Second Taiwan-Philippines Symposium in Analysis, National Tsing Hua University, HsinChu, Taiwan, June 1997, 71-78.

P. S. Macansantos, “Growth Models in Population Dynamics,” Rangtay (official publication of the Division of Natural Sciences and Mathematics, UP College Baguio), Vol. 3, December 1997, 20-29.

Professional Recognition:

International Publication Award (2007, UP)

Professional membership:

Mathematical Society of the Philippines

Phi Kappa Phi Honor Society

Philippine PEN


Visiting Research Fellow, Vito Quaranta Laboratory, Center for Cancer Systems Biology, Vanderbilt University Medical Center, Nashville, Tennessee, June to October 2012 (on Postdoctoral Scholarship Grant, Commission on Higher Education).

Exchange Scientist, Japan Society for the Promotion of Science (JSPS), Osaka Prefecture University, February 2000             

Associate Member, Third World Academy of Science (TWAS), Hanoi Institute of Mathematics, 1997-2004

Diamond Jubilee Professorial Chair in Mathematics, University of the Philippines, January to December 1996; July 1998 to June 1999; July 1999 to June 2000; July 2010 to June 2011; June 2011 to July 2012; Jan. 2013 to December 2013

Jorge Bocobo Professorial Chair in Mathematics, University of the Philippines, July 2000 to June 2001

UP Class 1949 Professorial Chair, University of the Philippines, July 2004 to June 2005

Research Fellow, UP-CIDS (University of the Philippines Center for Integrative and Development Studies), September 2003-December 2003

University of the Philippines Research Grant, Creative and Research Scholarship Fund, April 2002 to March 2003   

Fulbright Graduate Fellowship, University of Delaware, 1990-1995

Delta Kappa Gamma World Fellowship, University of Delaware, 1990-1995

Rotary Foundation Graduate Fellowship, University of Delaware, 1980-1982