Protopapas Eleftehrios

PUBLICATIONS

 

1. Dassios G., Hadjinicolaou M., Protopapas E. Blood plasma flow past a red blood cell: mathematical modelling and analytical treatment. Mathematical Methods in the Applied Sciences, 2012; vol. 35, no. 13, pages 1547-1563, DOI: 10.1002/mma.2540.

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2. Baganis G., Dassios G., Hadjinicolaou M., Protopapas E. The Kelvin transformation as a tool for analyzing problems in medicine and technology. Mathematical Methods in the Applied Sciences, 2013; DOI: 10.1002/mma.2903.

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3. Hadjinicolaou M., Kamvyssas G., Protopapas E. Stokes flow applied to the sedimentation of a red blood cell, Quarterly of Applied Mathematics. 2015; vol. LXXIII, no 3, pages 511-523, Online ISSN 1552-4485; Print ISSN 0033-569X, http://dx.doi.org/10.1090/qam/1390.

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4. Hadjinicolaou M., Protopapas E. Studying the blood plasma flow past a red blood cell, with the mathematical method of Kelvin's transformation. International Journal of Monitoring and Surveillance Technologies Research, 2014; 2 (1), pages 57-66, DOI: 10.4018/ijmstr.2014010104.

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5. Hadjinicolaou M., Protopapas E. On the R-semiseparation of the Stokes bi-stream operator in the inverted prolate spheroidal geometry. Mathematical Methods in the Applied Sciences, 2014; 37, pages 207–211, DOI: 10.1002/mma.2841.

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6. Hadjinicolaou M., Protopapas E. Translation of two aggregated Low Density Lipoproteins within blood plasma: A Mathematical model. Springer International Publishing, GeNeDis, Advances in Experimental Medicine and Biology, 2015; 820: pages 185-192, DOI 10.1007/978-3-319-09012-2_12.

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7. Hadjinicolaou M., Protopapas E. Spectral decomposition of the Stokes flow operators in the inverted prolate spheroidal coordinates.  IMA Journal of Applied Mathematics}, 2015; 80, pages 1475-1491, doi:10.1093/immamat/hvx003.

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8. Hadjinicolaou M., Protopapas E. Eigenfunction expansions for the Stokes flow operators in the inverted oblate coordinate system. Mathematical Problems in Engineering, Hindawi publishing, Volume 2016, 2016; Article ID 9049131, http://dx.doi.org/10.1155/2016/9049131.

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9. Hadjinicolaou M., Protopapas E. A microscale mathematical blood flow model for understanding cardiovascular diseases.
Springer International Publishing, GeNeDis2018, Advances in Experimental Medicine and Biology, 2020; vol 1194, 373-387, Springer, Cham. https://doi.org/10.1007/978-3-030-32622-7_35.

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10. Hadjinicolaou M., Protopapas E.  Separability of Stokes Equations in Axisymmetric Geometries. Journal of Applied Mathematics and Physics, 2020; 8 8, 315-348, https://doi.org/10.4236/jamp.2020.82026.

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11. Protopapas E. On the k-th power of Stokes operator. Journal of Mathematical Sciences: Advances and Applications,
2020; volume 63, pages 1-10, http://dx.doi.org/10.18642/jmsaa_7100122139.

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12. Hadjinicolaou M., Protopapas E. Necessary and sufficient conditions for the separability and the R-separability of the Stokes equation and applications. Journal of Applied Mathematics and Physics, 2020; 8 8,2379-2401. https://doi.org/10.4236/jamp.2020.811176.

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13. Protopapas E. Irrotational Stokes flow in three system of coordinates. arXiv:2107.08105, 2021.

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14.  Hadjinicolaou M., Protopapas E. Qualitative differences between the Semi-separable and the “Almansi type” Stokes stream function expansions in the study of biological fluids. Springer International Publishing, Advances in Experimental Medicine and Biology, 2021; 1338: 259-271. doi: 10.1007/978-3-030-78775-2_31. PMID: 34973033.

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15. Vafeas P., Protopapas E., Hadjinicolaou M. On the Analytical Solution of the Kuwabara-Type Particle-in-Cell Model for the Non-Axisymmetric Spheroidal Stokes Flow via the Papkovich–Neuber Representation. Symmetry, 2022; 14, 170. https://doi.org/10.3390/sym14010170.

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CONFERENCE PROCEEDINGS PEER REVIEWING (in english)

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1. Hadjinicolaou M., Protopapas E. Studying the blood plasma flow past a red blood cell, with the mathematical method of Kelvin's transformation, 12th International Conference on Bioinformatics and Bioengineering (BIBE), IEEE, 2012;  pages 662-665, ISBN: 978-1-4673-4357-2, DOI Bookmark: http: //doi.ieeecomputersociety.org/10.1109/BIBE.2012.6399745.

2. Dassios G., Hadjinicolaou M., Kamvyssas G., Kariotou F., Protopapas E.  Analytical expansions for the Stress and the Torque, exerted by a viscous fluid on a Red Blood Cell, M3ST2015, Kalamata, 30-8-2015 up to 1-9-2015, 2015; Book of Abstracts pages 29-30.
 

3.  Hadjinicolaou M., Protopapas E. Mathematical modeling of blood plasma flow through a swarm of Red Blood Cells, M3ST2018, Kalamata, 2-9-2018 up to 4-9-2018, 2018; Book of abstracts page 29.

 

4. Hadjinicolaou M., Kamvyssas G., Protopapas E. Deriving "Eigen flows" in Ellipsoidal Coordinate Systems of Revolution and in their Inverted ones. A Comparative Study, AIP Conference Proceedings. 1978, 470097, 2018; https://doi.org/10.1063/1.5044167.

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5. Protopapas E. R-semiseparable solutions for Stokes blood flow. First Congress of Greek Mathematicians (FCGM 2018), 2019; pages 127-139 (invited talk).

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6. Kyriazis C., Protopapas E., Stogias S. Monitoring Greece’s teachers opinion for Distance Learning in Covid-19 era. I-HE2021, Bari 3-5/11/21, pages 338-350.

 

CONFERENCE PROCEEDINGS PEER REVIEWING (in greek)

 

1. Hadjinicolaou M., Protopapas E. Creeping flow in axisymmetric systems of coordinates. 6th ICODL, 2011; volume 8, no. 1, ISSN 1791 – 9312, pages 100-109, http://journal.openet.gr/index.php/openjournal/article/view/151 (in greek).

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2. Hadjinicolaou M., Protopapas E. The effect of the Geometry in mathematical modelling and the analytical solution of problems in Science and Bioscience. Proceedings of 28th Panhellenic Conference of the Hellenic Mathematical Society, 2011; pages 628 – 641 (in greek).

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3. Ηadjinicolaou M., Protopapas E. Blood plasma flow past a red blood cell. Proceedings of 29th Panhellenic Conference of the Hellenic Mathematical Society, 2012; pages 624 – 638 (in greek).

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4. Hadjinicolaou M., Kamvyssas G., Protopapas E. Mathematical models for blood flow. Proceedings of 30th Panhellenic Conference of the Hellenic Mathematical Society, 2013; pages 402 – 412 (in greek).

 

5. Kyriazis C., Protopapas E., Stogias S. Greece’s Secondary Education in COVID-19 era: Teachers' point of view, 11th ICODL, 2021; vol. 4, part A, pages 46-60.

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ORAL PRESENTATIONS

 

1. Protopapas E. Mathematics in the orbit of medicine. Cutting Edge Technologies in Educational Practice, Avgoulea-Linardatou private school, March 2018.

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2. Protopapas E. Analytical methods and theoretical approach in Bioscience problem solving. University of Ioannina. Department of Mathematics, 20/11/20.

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3. Protopapas E. The multiple intersecting orbits of Mathematics, with Biology and Medicine. Τwo-day conference of the Applied Mathematics Laboratory of the Hellenic Open University, 28/2/2021.

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4. Protopapas E. Stokes operator: Analytical solutions and theoretical approach. Seminar at the School of Applied Mathematical and Physical Sciences, 1/6/2021.

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JOURNALS PEER REVIEWING (in greek)

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1. Hadjinicolaou M., Protopapas E. The effect of the Geometry in mathematical modelling and the analytical solution of problems in Science and Bioscience. Astrolavos, Hellenic Mathematical Society, 2012; 17, pages 27 – 51 (in greek).

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2. Kyriazis C., Protopapas E. Mathematical models in epidemiology for the secondary education. Euclid C, Hellenic Mathematical Society, 2021; 95, pages 61-88.

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POSTERS

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1. Hadjinicolaou M., Protopapas E. A mathematical model for the sedimentation of red blood cells, 4th Panhellenic Conference in Biomedical Technology, Athens, 2012; book of abstracts page 28.

 

 

2. Hadjinicolaou M., Protopapas E. Analytical expressions for flow quantities regarding the relative motion of an erythrocyte and blood plasma. 5th Panhellenic Conference in Biomedical Technology, Athens, 2013; book of abstracts page 89.

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3. Hadjinicolaou M., Protopapas E. Modeling the relative motion of a red blood cell within blood plasma. Applications. One-day Conference on publicity of the research achievements of the School of Science and Technology of the Hellenic Open University, Patras, 16 July 2016 (in greek).

 

4. Hadjinicolaou M., Protopapas E. Spectral decomposition of the Stokes flow operators in the inverted prolate and oblate spheroidal geometry, 1st One-day Conference on publicity of the research achievements of the School of Science and Technology of the Hellenic Open University, Patras, 16 July 2016.

 

5. Hadjinicolaou M., Protopapas E. Analytical determination of erythrocyte sedimentation and initiation of Atherosclerosis. Patras IQ, 7-9/4/2017 (in greek).