Andreas Aristotelous
Education
- Ph.D. The University of Tennessee, Knoxville
- M.S. Florida Institute of Technology
- B.S. University of Cyprus
Research Interests
- numerical solution of partial differential equations
- discontinuous Galerkin finite element method
- numerical analysis, computational fluid dynamics
- hybrid discrete continuous systems and their applications in biomedical problems.
Professional Experience
- August 2015 to Present:
Associate Professor of Mathematics (Tenure-Track), West Chester University - August 2014 to July 2015:
Research Assistant Professor of Mathematics, Temple University - August 2011 to July 2014:
Visiting Assistant Professor of Mathematics, Duke University - August 2011 to August 2013:
Postdoctoral Fellow (joint with Duke), Statistical and Applied Mathematical Sciences Institute (SAMSI)
Selected Publications
- Aristotelous, A. C., Grabovsky, Y. & Klapper, I. (2018) Heterogeneity Formation Within
Biofilm Systems. European Journal of Applied Mathematics 1-15 .
doi:10.1017/S0956792518000402 . - Aristotelous, A. C., Crawford, J. M., Edwards, G. S., Kiehart, D. P. & Venakides,
S. (2018) Mathematical models of dorsal closure. Progress in Biophysics and Molecular Biology
https://doi.org/10.1016/j.pbiomolbio.2018.05.009. - Aristotelous, A. C., Klapper, I., Grabovsky, Y., Pabst, B., Pitts, B. and Stewart, P. S. (2015) Diffusive Transport Through Host-Biofilm Systems. Phys. Rev. E, 92-2, 022703.
- Aristotelous, A. C., Karakashian, O. A. and Wise, S. M. (2015) Adaptive, Second-Order in Time, Primitive-Variable Discontinuous Galerkin Schemes for a Cahn-Hilliard Equation with a Mass Source. IMA J. Numer. Anal., 35-3, 1167--1198.
- Aristotelous, A. C. and Haider, M. A. (2014) Use of Hybrid Discrete Cellular Models for Identification of Macroscopic Nutrient Loss in Reaction-Diffusion Models of Tissues. Int. J. Numer. Meth. Biomed. Engng., 30-8,767--780.
- Aristotelous, A. C. and Durrett, R. (2014) Chemical Evolutionary Games. Theoretical Population Biology, 93, 1--13.
- Aristotelous, A. C., Karakashian, O. A. and Wise, S. M. (2013) A Mixed Discontinuous Galerkin, Convex Splitting Scheme for a Modified Cahn-Hilliard Equation and an Efficient Nonlinear Multigrid Solver. DCDS-B, 18-9, 2211--2238.
Selected Talks
Invited:
- SIAM Life Sciences 2018 Meeting, Minneapolis, Minnesota, Aug 6-9, 2018
Mini Symposium Title: Recent Advances of Phase Field Models in Life Science
Talk Title: Unconditionally energy stable DG-FE schemes for diffuse interface models
Recorded Talk/slides: https://www.pathlms.com/siam/courses/8687/sections/12382/video presentations/115285 - SMB 2015 Annual Meeting, Georgia State University, Atlanta, July 2, 2015
Mini Symposium Title: Modeling and Simulation of the Biomechanics of Heterogeneous Biofilms
Talk Title: Modeling Heterogenous Biofilms - AMS Meeting, University of Alabama, Huntsville, AL, March 29 2015
Special session on “Recent Advances in Numerical Methods for Nonlinear Partial Differential Equations”
Talk Title: Discontinuous Galerkin Methods for Generalized Cahn-Hilliard Equations - Courant Institute of Mathematical Sciences, New York University, New York, NY, March
2014
Seminar Talk Title: Discontinuous Galerkin Finite Element Schemes for Cahn-Hilliard Type Models and Hybrid Discrete Systems
Organized:
- SMB 2013 Annual Meeting, Arizona State University, Tempe, June 10-13, 2013
Mini symposium organizer
Mini Symposium Title: Hybrid Models and Methodologies for Tissues with Active Biological Constituents
Talk Title: Methodologies for Bridging Cell and Tissue Scale Models for Nutrient Transport and Uptake in Articular Cartilage
Contributed:
- SIAM Conference on Analysis of PDE, Baltimore, MD, Dec 9-12, 2017
Talk Title: Discontinuous Galerkin Finite Element Methods for the Solution of Diffuse Interface
Models - SIAM 2012 Annual Meeting, Minneapolis, July 9-11, 2012
Talk Title: Multigrid, Adaptive Discontinuous Galerkin Methods for the Cahn-Hilliard Equation and Diffuse Interface Model of Tumor Growth
Grants/Awards
- Grant award from the NSF Division of Mathematical Sciences (DMS)
Programs: Computational Mathematics, Mathematical Biology
Award Number: DMS 1720226
Title: Computational Methods for Heterogeneous Soft Living Materials
This award starts July 1, 2017 and ends June 30, 2020
Continuing grant: Currently awarded $65,351.00, award expected to total $100,115.00 dollars.
NSF webpage for the award
- Poster Presentation Prize, at the Society for Industrial and Applied Mathematics (SIAM),
Mathematics of Planet Earth (MPE) conference, September 30, 2016, Philadelphia.
Title: Numerical study of biofilm growth in a microgravity environment.