Project Team
Students
Kevin Courtney
Computer Engineering
Penn State Lehigh Valley
Faculty Mentors
Faranak Pahlevani
Penn State Abington
Science and Engineering
Project
https://sites.psu.edu/mcreu/files/formidable/2/2024-07-21/Summer_2024-1.pdf
Project Video
Project Abstract
The focus of this presentation is the development, numerical simulation and parameter analysis of a model of the transcription of ribosomal RNA in highly transcribed genes. Inspired by the well-known classic traffic flow model Lighthill-Whitham-Richards (LWR), a non-linear advection continuum model is used to describe the DNA transcription process. Recently combining time filtering process with fully implicit schemes for nonlinear problems has shown increase accuracy with minimal modifications to existing code. The numerical treatment presented for LWR model simulations includes introducing a low complexity and time accurate method by adding a simple linear time filter to explicit and implicit finite difference schemes. This improved new method is modular and requires a minimal modification of adding only one line code resulting in increased accuracy without increased computational expense.
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