The Institute of Mathematics is hosting a seminar on January 19, Friday, by **Prof. Eduardo R. Mendoza, PhD**, from the Max Planck Institute of Biochemistry Munich, Germany.

**Date: Friday, 19 January 2018, 10:00- 11:30am | Manulife Room, Math Building Annex, UP Diliman**

**Abstract**

Chemical reaction networks are digraphs whose vertices (called complexes) are mapped to non-negative vectors representing compositions of chemical species and whose arcs represent chemical reactions between them. Assigning a non-negative rate function to each reaction defines a kinetics and generates an ODE system describing the system’s dynamical behavior. The ODE system of mass action kinetics, which is widely used in applications, for example, consists of polynomials in several variables. Chemical reaction network theory (CRNT) aims to understand connections between network structure and system dynamics with mathematical methods from graph theory, linear algebra, group theory and the theory of ordinary differential equations (dynamical systems). The emergence of Systems Biology at the turn of the century has led to an important role of CRNT in understanding complex biological systems and in applications in biotechnology and biomedicine. Researchers at several universities in the Philippines have in the past five years actively participated in CRNT research and published in international journals such as Mathematical Biosciences and the Journal of Mathematical Chemistry (References 1-5).

The talk will present new results on power law kinetic systems motivated by models of the earth’s carbon cycle and carbon recovery strategies (from climate engineering) as well as of complex biochemical systems (References 6 – 8). The theory presented has interesting connections to decompositions of digraphs and of infinite abelian groups.

**About the Speaker**

Ed Mendoza studied mathematics at Ateneo de Manila, Heidelberg University and Bonn University, obtaining a PhD under G. Harder and F. Hirzebruch in Bonn. After 3 years as Assistant Professor in Mathematics at the Bergian University Wuppertal, his interest in computer networks led to a move to the IT industry in 1980. He moved back to academe in 2002 to pursue his interest in modeling biological networks (a part of Systems Biology) and to have time to contribute to science and technology education in the Philippines. He has since published over 50 research papers, the majority in ISI/Scopus-indexed journals and with Filipino co-authors. He is currently an Adjunct Professor in Mathematics and Computer Science at UP Diliman, UP Los Baños and De la Salle University and a Guest Scientist at the Max Planck Institute of Biochemistry and Ludwig Maximilians University, both in Munich, Germany. He can be reached at [email protected]upd.edu.ph, [email protected] or [email protected]

References

1. Arceo CPP, Jose EC, Marin-Sanguino A, Mendoza ER. Chemical reaction network approaches to

biochemical systems theory. Math. Biosci. 269 (2015): p. 135-152.

2. Arceo CPP, Jose EC, Lao AR, Mendoza ER. Reaction networks and kinetics of biochemical systems.

Math. Biosci. 283 (2017): 13-29.

3. Cortez MJ, Nazareno AN, Menodoza ER. A computational approach to linear conjugacy in a class

of power law kinetic systems. J. Math, Chem (2017). DOI 10.1007/s10910-017-0796-y

4. Talabis DASJ, Arceo CPP, Mendoza ER. Positive equilibria of a class of power law kinetics. J. Math,

Chem (2017). DOI 10.1007/s10910-017-0804-2

5. Arceo CPP, Jose EC, Lao AR, Mendoza ER. Reactant subspaces and kinetics of chemical reaction

networks. J. Math, Chem (2017). DOI 10.1007/s10910-017-0809-x

6. Fortun NT, Lao AR, Razon LF, Mendoza ER. A Deficiency Zero Theorem for a class of power law

kinetic systems with independent decompositions (2017, submitted).

7. Mendoza ER, Talabis DASJ, Jose EC. Positive equilibria of weakly reversible power law kinetic

systems with linear independent interactions (2017, submitted)

8. Fortun NT, Mendoza ER, Razon LF, Lao AR. A Deficiency One Algorithm for power law kinetic

systems with reactant-determined interactions (in preparation)

9. Arceo CPP, Jose EC, Lao AR, Mendoza ER. Chemical reaction networks: Filipino contributions to

their theory and its application (in preparation).

10. Mendoza ER, Fortun NT, Razon LF, Lao AR. Concentration robustness in power law kinetic

systems with reactant-determined interactions (in preparation)