Research Interests
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Articles
- P. G. B. Calderon, M. Habib, F. Kappel, A. de los Reyes V , Control aspects of the human cardiovascular-respiratory system under a nonconstant workload, Mathematical Biosciences (2017) 289:142-152. doi: 10.1016/j.mbs.2017.05.008
- A. de los Reyes V, D. H. Fuertinger, F. Kappel, A. Meyring-Wosten, S. Thijssen, P. Kotanko, A physiologically based model of vascular refilling during ultrafiltration in hemodialysis, Journal of Theoretical Biology (2016) 390:146-155. doi: 10.1016/j.jtbi.2015.11.012
- A. de los Reyes V, E. Jung, Y. Kim, Optimal control strategies of eradicating glioblastoma cells after conventional surgery, Journal of the Royal Society Interface (2015) 12(106), pii: 20141392. doi: 10.1098/rsif.2014.1392
- A. de los Reyes V, E. Jung and F. Kappel, Stabilizing control for a pulsatile cardiovascular mathematical model, Bulletin of Mathematical Biology (2014) 76(6): 1306-1332, doi: 10.1007/s11538-014-9958-2
- A. de los Reyes V, Dynamics of a cardiovascular model obtaining measurable pulsatile pressure output, WJMS (2015) 11(1):20-32
Patent
- WO application 2015184287, A. de los Reyes V, D.H. Fuertinger, F. Kappel, A. Meyring-Woesten, S. Thijssen, P. Kotanko, System for analyzing vascular refill during short-pulse ultrafiltration in hemodialysis, published 3 December 2015, assigned to Fresenius Medical Care Holdings, Inc.
Conference Proceedings
- A. de los Reyes V, D. H. Fuertinger, F. Kappel, A. Meyring-Wsten, S. Thijssen, P. Kotanko, Mathematical Model Providing New Insights into Vascular Refilling During Dialysis, J Am Soc Nephrol 25, 2014: 294A
- H. Schättler, U. Ledzewicz, Y. Kim, A. de los Reyes and E. Jung, On the Control of Cell Migration and Proliferation in Glioblastoma, In: Proceedings of the 52nd IEEE Conference on Decision and Control, Florence, Italy, December 2013
- A. de los Reyes V and F. Kappel, Modeling pulsatility in the human cardiovascular system, Mathematica Balkanica, New Series Vol. 24, 2010, Fasc. 3-4, 229-242
Technical Report
- A. de los Reyes V and F. Kappel, 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
- 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