de los Reyes, Aurelio V

Associate Professor

adlreyes@math.upd.edu.ph

Math Building 209

Research Interests
Mathematical biology. Optimal control applied to biological systems. Cardiovascular-respiratory system. Vascular refilling during hemodialysis. Cancer models. Infectious diseases dynamics.

Academic Groups

Modelling and Applications (member)
Optimization and Approximation (affiliate)

Education
- Dr. rer. nat. Mathematics (2010), mit Auszeichnung bestanded
  Karl-Franzens Universitaet Graz, Austria
  Dissertation: A mathematical model for the cardiovascular system with a measurable pulsatile pressure output
  Adviser: Prof. Em. Franz Kappel
- M.S. Mathematics (2004)
  University of the Philippines Baguio
- B.S. Mathematics (2000)
  University of the Philippines Baguio
Postdoctoral Fellowships
- Institute of Molecular Life Sciences, University of Zurich (2011)
  Supervisor: Prof. Attila Becskei
- Biozentrum, University of Basel, Switzerland (2012)
  Supervisor: Prof. Attila Becskei
- Department of Mathematics, Konkuk University, Republic of Korea (2013)
  Supervisor: Prof. Eunok Jung
- Renal Research Institute New York (2014)
  Supervisor: Peter Kotanko, M.D.
- Department of Mathematics, Konkuk University, Republic of Korea (2019)
  Supervisor: Prof. Eunok Jung and Prof. Yangjin Kim
Teaching
2nd Semester AY 2023-2024
- Math 133 THR (TTh 8:30-10:00 MB 126)
- Math 122 THW (TTh 13:00-14:30 MB 126)
Graduate Students
- Current
  1. Michelle N. Raza, Ph.D. Mathematics (Co-Adviser: Prof. Johnny Ottesen)
  2. Dave I. Palen, Ph.D. Mathematics
  3. Junmar Gentuya, Ph.D. Mathematics
  4. Michael Subido, Ph.D. Mathematics (Co-Adviser: Prof. Rachelle R. Sambayan)
  5. Gerald Navida, Ph.D. Mathematics (Co-Adviser: Prof. Em. Priscilla S. Macansantos)
- Former
  1. Brenda Lyn A. Gavina, Ph.D. Mathematics (2023, Co-Adviser: Prof. Johnny Ottesen)
    Dissertation: Optimization of Dosing Strategy to Induce Anovulation
  2. Vanessa Mae C. Romero, M.S. Applied Mathematics (2021)
    Thesis: Modelling Dengue Transmission with Time Delays
  3. Yancee H. Olave, M.S. Applied Mathematics (2021, Co-Adviser: Prof. Victoria May P. Mendoza)
    Thesis: Optimal Control of a Chikungunya Model in the Philippine Setting
  4. Bryan S. Hernandez, Ph.D. Mathematics (2019, Co-Adviser: Dr. Eduardo R. Mendoza)
    Dissertation: Multistationarity and Fundamental Decompositions of Power-Law Kinetic Systems
  5. Angelica P. Aspirin, M.S. Applied Mathematics (2019, Co-Adviser: Prof. Yangjin Kim)
    Thesis: Optimal OV-Bortezomib Intervention Strategies and NK Cell Adjuvant Therapy for Tumor Treatment
  6. Monica C. Torres, M.S. Applied Mathematics (2019)
    Thesis: Mathematical Model and Optimal Control of TB-HIV/AIDS Co-infection in the Philippines
  7. Fatima Lois E. Suarez, M.S. Applied Mathematics (2019, Co-Adviser: Prof. Eunok Jung)
    Thesis: A mathematical model for the spread of Highly Pathogenic Avian Influenza H5N2 on domestic geese in Yunlin County, Taiwan in 2015
  8. Rodolfo B. Po III, M.S. Mathematics (2019, UP Baguio, Co-Adviser: Prof. Priscilla S. Macansantos)
    Thesis: Sensitivity Analysis and Model Identification of Isoprene Pharmacokinetics during Ergonometric Exercise
  9. Carlo Delfin S. Estadilla, M.S. Applied Mathematics (2018)
    Thesis: Optimal Control of an HIV/AIDS Epidemic Model using Philippine Data
  10. Kurt Jan A. Pumares, M.S. Applied Mathematics (2018, Co-Adviser: Prof. Eunok Jung)
    Thesis: Cell cycle – coupled Glioblastoma dynamics under optimal control strategies
Publications
Google Scholar

ORCID ID: 0000-0001-5418-4579

Articles
1. Lee, D., de los Reyes V, A.A. and Kim, Y. (2024) Optimal strategies of oncolytic virus-bortezomib therapy via the apoptotic, necroptotic, and oncolysis signaling network. Mathematical Biosciences and Engineering 21(3): 3876-3909
2. Escosio, R.A.S., Cawiding, O.R., Hernandez, B.S., Mendoza, R.G., Mendoza, V.M.P., Mohammad, R.Z., Pilar-Arceo, C.P.C., Salonga, P.K.N., Suarez, F.L.E., Sy, P.W., Vergara, T.H.M. and de los Reyes V, A.A. (2023)
  A model-based strategy for the COVID-19 vaccine roll-out in the Philippines.
  Journal of Theoretical Biology 573, 111596.
3. Torres, M., Tubay, J. and de los Reyes V, A.A. (2023) Quantitative Assessment of a Dual Epidemic Caused by Tuberculosis and HIV in the Philippines. Bulletin of Mathematical Biology 85, 56.
4. Gavina, B.L.A., de los Reyes V, A.A., Olufsen, M.S., Lenhart, S. and Ottesen J.T. (2023) Toward an optimal contraception dosing strategy. PLoS Computational Biology 19(4): e1010073.
5. Añonuevo, L.E., Lachica, Z.P.T., Amistas, D.A., Lato, J.I.E., Boniato, H.L.C., Catalan, J.M.G., Pasion, R.J.F., Yumang, A.P., Almocera, A.E.S., Arcede, J.P., Mata, M.A.E. and de los Reyes V, A.A. (2023) Transmission dynamics and baseline epidemiological parameter estimates of Coronavirus disease 2019 pre-vaccination: Davao City, Philippines. PLoS ONE 18(4): e0283068
6. de los Reyes V, A.A. and Kim Y.(2022) Optimal regulation of tumor-associated neutrophils in cancer progression. Royal Society Open Science. 9:210705
7. Hernandez B.S., Amistas D.A., De la Cruz R.J.L., Fontanil L.L., de los Reyes V, A.A. and Mendoza E.R. (2022) Independent, incidence independent and weakly reversible decompositions of chemical reaction networks. MATCH Communications in Mathematical and in Computer Chemistry 87: 367-396.
8. Calderon, P.G.B., Palma, Lean V., Kappel, F., and de los Reyes V, A.A. (2021) Control, Sensitivity and Identification of a Cardiovascular-Respiratory System Model. In: Mohd M.H., Misro M.Y., Ahmad S., Nguyen Ngoc D. (eds) Modelling, Simulation and Applications of Complex Systems. CoSMoS 2019. Springer Proceedings in Mathematics & Statistics, vol 359. Springer, Singapore. 151-173.
9. Aspirin, A. P., de los Reyes V, A. A. and Kim, Y. (2021) Polytherapeutic strategies with oncolytic virus-bortezomib and adjuvant NK cells in cancer treatment, Journal of the Royal Society Interface 18: 20200669.
10. Magpantay, D. M., Hernandez, B. S., de los Reyes V, A. A., Mendoza, E. R. and Nocon, E. G. (2021) A Computational Approach to Multistationarity in Poly-PL Kinetic Systems, MATCH Communications in Mathematical and in Computer Chemistry 85(3): 605-634.
11. Estadilla, C.D.S. and de los Reyes V, A. A. (2020) Optimal strategies for mitigating the HIV/AIDS epidemic in the Philippines, Mathematical Methods in Applied Sciences 43: 10690-10710
12. Alota, C.P., Pilar-Arceo, C.P.C. & de los Reyes V, A.A. (2020) An Edge-Based Model of SEIR Epidemics on Static Random Networks, Bulletin of Mathematical Biology 82, 96
13. Kim, S., de los Reyes V, A.A. and Jung, E. (2020) Country-specific intervention strategies for top three TB burden countries using mathematical model, PLoS ONE 15(4): e0230964.
14. Hernandez, B.S., Mendoza, E.R. & de los Reyes V, A.A. (2020) Fundamental Decompositions and Multistationarity of Power-Law Kinetic Systems, MATCH Communications in Mathematical and in Computer Chemistry 83(2): 403-434.
15. Hernandez, B.S., Mendoza, E.R. & de los Reyes V, A.A. (2020) A computational approach to multistationarity of power-law kinetic systems, Journal of Mathematical Chemistry 58: 56-87.
16. Jung, E., de los Reyes V, A.A., Pumares, K.J.A. & Kim, Y. (2019) Strategies in regulating glioblastoma singling pathways and anti-invasion therapy, PLoS ONE 14(4): e0215547
17. de los Reyes V, A.A. & Escaner IV, J.M.L. (2018) Dengue in the Philippines: model and analysis of parameters affecting transmission, Journal of Biological Dynamics 12:1, 894-912.
18. Soyoung, K., de los Reyes V, A.A., & Jung, E. (2018) Mathematical model and intervention strategies for mitigating tuberculosis in the Philippines, Journal of Theoretical Biology 443: 100-112.
19. Calderon, P.G.B., Habib, M., Kappel, F. & de los Reyes V, A.A. (2017) Control aspects of the human cardiovascular-respiratory system under a nonconstant workload, Mathematical Biosciences 289: 142-152.
20. de los Reyes V, A.A., Fuertinger, D. H., Kappel, F., Meyring-Woesten, A., Thijssen, S. & Kotanko, P. (2016) A physiologically based model of vascular refilling during ultrafiltration in hemodialysis, Journal of Theoretical Biology 390: 146-155.
21. de los Reyes V, A.A., Jung, E., & Kim, Y. (2015) Optimal strategies of eradicating glioblastoma cells after conventional surgery, Journal of Royal Society Interface 12(106), pii: 20141392.
22. de los Reyes V, A.A. (2015) Dynamics of a cardiovascular model obtaining measurable pulsatile pressure o utput, World Journal of Modelling and Simulation 11(1):20-32
23. de los Reyes V, A.A., Jung, E. & Kappel, F. (2014) Stabilizing control for a pulsatile cardiovascular mathematical model, Bulletin of Mathematical Biology 76(6):1306-1332
Patent
- WO application 2015184287, de los Reyes V, A.A., Fuertinger, D. H., Kappel, F., Meyring-Woesten, A., Thijssen, S. and Kotanko, P. System for analyzing vascular refill during short-pulse ultrafiltration in hemodialysis, published 3 December 2015, assigned to Fresenius Medical Care Holdings, Inc.
Conference Proceedings
1. de los Reyes V, A.A. and Escaner IV, J.M. L. (2017). Understanding dengue transmission dynamics in the Philippines, Proceedings 17th Conference of the Science Council of Asia (SCA), 215-221. Manila, Philippines. 14-16 June.
2. de los Reyes V, A.A., Fuertinger, D. H., Kappel, F., Meyring-Woesten, A., Thijssen, S. and Kotanko, P. Mathematical model providing new insights into vascular refilling during dialysis, J Am Soc Nephrol 25, 2014: 294A
3. Schaettler, H., Ledzewicz, U., Kim, Y., de los Reyes, A. and Jung, E. (2013) On the control of cell migration and proliferation in glioblastoma. Proceedings of the 52nd IEEE Conference on Decision and Control, 1810-1815. Florence, Italy, December
4. de los Reyes V, A.A. and Kappel, F. Modeling pulsatility in the human cardiovascular system, Mathematica Balkanica, New Series Vol. 24, 2010, Fasc. 3-4, 229-242
Technical Report
- de los Reyes V, A.A. and Kappel, F. A mathematical cardiovascular model with pulsatile and non-pulsatile components, SFB-Report No. 2010-011, March 2010, Institute for Mathematics and Scientific Computing, University of Graz, Austria
PhD Thesis
- de los Reyes V, A.A., A mathematical model for the cardiovascular system with a measurable pulsatile pressure output, PhD Thesis, submitted March 2010, Institute for Mathematics and Scientific Computing, University of Graz, Austria

de los Reyes, Aurelio V

2nd Semester AY 2023-2024

Math 133 THR (TTh 8:30-10:00 MB 126)

Math 122 THW (TTh 13:00-14:30 MB 126)

Graduate Students

University

Affiliations