43rd Annual WKU Mathematics Symposium
43rd Annual Mathematics Symposium
Western Kentucky University
November 17, 2023
Location: Ogden College Hall and Snell Hall
Time: 3:00 - 8:50pm
Dr. Christopher Crawford
University of Kentucky
Day/Time: Friday, November 17, 8:00 - 8:50pm
Title: Fitting Digital Signals in Real-Time using the Magic of Convolutions
Abstract: Modern data acquisition systems record billions of samples per second. They analyze these signals using Field Programmable Gate Arrays (FPGAs), which can process up to millions of operations per clock cycle. While they are orders of magnitude faster than ordinary Central Processing Units (CPUs), their simplified logic requires streamlined algorithms. Several mathematical properties of the convolution make it ideal for digital signal processing (DSP) on this architecture. A new convolution algorithm has been developed to perform least-squares fitting digital signals to template waveforms in real time--a process which used to be performed offline on supercomputer clusters. This technology will be used to enhance digital spectroscopy in experiments with too high of count rates to read out individual waveforms for offline analysis.
Dr. Mette Olufsen
North Carolina State University
Day/Time: Friday, November 17, 3:45 - 4:35pm
Title: Using mathematical modeling to better understand cardiovascular disease
Abstract: The top two courses of death in the United States are heart disease, cancer, and COVID-19 all diseases that have a significant chance of being eliminated in particular if the disease is diagnosed early. Traditional medicine has relied on observation and statistical analysis of measurements. An alternative way to generate more insight is by using computational models formed by first principles in Mathematics. This talk will highlight some of my group's use of mathematical and computational modeling to improve understanding of disease. Examples include explaining heart rate and blood pressure variation observed in long-term COVID patients and the development of techniques to integrate imaging data from computed tomography scans (CT) and magnetic resonance images (MRI) with dynamic models that can predict blood flow and pressure, e.g., to determine what blood clots to reduce in patients with pulmonary hypertension (high blood pressure in the arteries in the lungs). We will also discuss how models combined with machine learning can be used to identify patients with specific disease etiologies.
Registration and Submission Information
Registration is free for the WKU Mathematics Symposium!
SUBMISSION WINDOW HAS CLOSED
Simply send the abstracts to email@example.com by Monday, November 13 including:
- Name of Presenter(s)
- Position(s): Undergraduate Student/Graduate Student/Gatton Student/Faculty/Other
Other than the widely known areas of mathematics, any research project involving one of the following areas is a perfect fit for the symposium: Mathematical Medicine and Biology, Mathematical Physics, Mathematical Finance, Mathematical Econ, Game Theory, Mathematical Education, Statistics, Data Science and Machine Learning, Artificial Intelligence, Scientific Computing, Probability and Stochastic Processes, Signal and Image Processing, Fluid Dynamics, Complex Systems and Network Science, and more!
Students who have started their research or creative scholarship but have not been able to complete their projects are also welcomed to submit and share their preliminary findings and anticipated results.
Chair of the Organizing Committee: Dr. Attila Por
Committee Members: Dr. Dominic Lanphier, Dr. Samangi Munashinge, Dr. Lan Nguyen, Dr. Ozkan Ozer, Dr. Richard Schugart