Research
My Research Overview
I have two primary research areas. The first is focused on physics-guided computational modeling, which encompasses topics such as fluid-structure interaction, graph neural networks, physics-informed machine learning, and equation-free data-driven methods. The second area involves the development of mathematical models for cancer immunology, with a specific emphasis on CART cell therapy. You can access most of my latest works in my Github.
I am the Spelman PI of MOLUcQ(Uncertainty Quantification for Multifidelity Operator Learning) and Co-PI of SEA-CROGS projects funded by Department of Energy.
Research Projects
Deep Learning Based Object Tracking in Walking Droplets and Granular Flow Experiments, Erdi Kara, George Zhang, Joseph J. Williams, Gonzalo Ferrandez-Quinto, Leviticus J. Rhoden, Maximilian Kim, J. Nathan Kutz, Aminur Rahman, 2023, Journal of Real-Time Image Processing
Mathematical Modeling Insights into Improving CAR T cell Therapy for Solid Tumors, 2023, Erdi Kara, Trachette L Jackson,, Chartese Jones, Reginald McGee, Rockford Sison (submitted, access preprint at Arxiv)
Material Point Method with Nitsche-Type Unfitted Interface Coupling Applied to Fluid Structure Interaction Problems, Aulisa, Eugenio and Kara, Erdi and Capodaglio, Giacomo and Gunzburger, Max (In preparation)
Tumor ablation due to inhomogeneous – anisotropic diffusion in generic 3-dimensional topologies, Erdi Kara, Aminur Rahman, Eugenio Aulisa, Souparno Ghosh,2020, Physical Review E.
Recent Workshops and Panels
Visiting Researcher, Sandia National Laboratories, June-July, 2023
National Science Foundation, Computational and Data-Enabled Science and Engineering in Mathematical and Statistical Sciences
(CDS&E-MSS) Review Panel, 2022
Beginner Python Academy Funded by AUC Data Science Initiative, May 2022, Atlanta, GA
Ran 4-day Python workshop for data science for AUC faculty members. Check our repo.
Mathematical Science Research Institute(MSRI) Adjoint Program, June 20- July 1 , 2022, Berkeley, CA
Worked on targeted cancer therapeutics via CART cells supervised by Dr.T.L. Jackson.
2022 PhysiCell Hackathon and Workshop, July 25 - July 20, 2022, Online
Worked on agent based modelling with PhysiCell
Our team won a silver badge with the project Quantifying Chemotherapy-Induced Cachexia at the Cellular Level
Undergraduate Research
Below is a compilation of undergraduate students I have previously advised, as well as those I am currently mentoring.
Below is a compilation of undergraduate students I have previously advised, as well as those I am currently mentoring.
Spelman College, Atlanta, GA
Logan Joy Lemond, Present, scientific machine learning
Taylor Tylee Jones, Present, scientific machine learning
Brianna Shiane Severe, Present, Mathematical models in CAR-T cell therapy
Kristen Mosley, 2023, Neural ODEs
Jean Luois Jasmin, 2023, Spiking neural networks
Charlotte Ingram, 2023, Preconditioning in CAR-T cell therapy
Laila N. Hayes, 2022, Skin disease recognition with neural networks
Erin N. Ojeda, 2022, Predicting fashion trends using neural networks
Princess Sampson, 2022, Machine learning for Afro-American hairstyle
University of Washington, Seattle, WA
George Zhang, 2022, Object tracking in multi-particle systems
Maximiliam Kim, Present, Numerical PDEs for porous media flow
Texas A&M San Antonio, San Antonio, TX
Edgar Faris, 2023, automated music genre recognition
Omar Bravo, 2023, automated music genre recognition
Recent Talks
U.S. National Congress on Computational Mechanics (USNCCM17) (invited), Albuquerque, NM, July 26, 2023
The Sandia Machine Learning and Deep Learning Workshop, Albuquerque, NM, July 20, 2023
AI Institute of Dynamical Systems (invited), University of Washington, Seattle, WA, February 14, 2023
Analysis and Applied Math Seminar(invited), Kennesaw State University, Kennesaw, GA March 22, 2023.
Mathematical Aspects of Data Sciences(invited), jointly organized by Spelman College and Georgia Institute of Technology, Spelman College, Atlanta, GA February 23, 2023.
Atlanta Undergraduate Research Seminar (invited): The Rise of Transfer Learning; YOLO, GPT3 and Stable Diffusion, Emory University, Oct. 2022
Mathematical Science Research Institute(MSRI), Mathematical Modeling Insights into Improving CAR T Cell Therapy for Solid Tumors, Berkeley, CA, July 2022
The Center for Computational Oncology Seminar, ODEN Institute for Computational Engineering and Sciences, Oct. 2021 (invited)
University of Incarnate Word, Cardinal Talks, Nov 2021(invited)
SIAM Annual Meeting (AN21), July 2021
Society for Mathematical Biology 2021 Annual Meeting, May 2021
SIAM Dynamic Systems 2021 (invited), May 2021
Joint Spring 2021 Meeting of the Texas Sections of American Physical Society, Apr.2021
APS March Meeting 2021, March 2021