This repository contains the comprehensive work of my physics thesis completed at Lawrence University, focusing on the dynamics of transcription factor search times. Through a comparative analysis, this thesis explores both classical diffusion models (1D and 3D) and facilitated diffusion mechanisms. The work can be accessed here.
The physics thesis inspired my mathematics thesis where I classified the facilitated diffusion PDEs that have solutions that describe valid probability distributions. The work can be accessed here.
- Demonstrated that facilitated diffusion significantly accelerates transcription factor search times compared to classical diffusion models.
- Quantitative analysis reveals a substantial reduction in search times, aligning with empirical observations.
- The study suggests that molecular crowding and specific DNA sequences play a pivotal role in optimizing search efficiency.
- Potential applications in developing artificial biosystems and targeted therapeutic strategies.
- Utilized advanced computational simulations to model transcription factor movements.
- Applied statistical analysis to compare search efficiencies between different diffusion models.
This thesis provides novel insights into the molecular mechanisms of cellular functions, emphasizing the importance of facilitated diffusion in biological processes.
For further information or collaboration opportunities, please contact Hasif Ahmed at [hasifahmed001@gmail.com].