|
EE8950: Noise in Engineering and Biological Systems
With the increased ability to manipulate and interrogate matter at the nanometer scale, the need to understand, mitigate and utilize fundamental sources of noise in engineering and biological systems has found renewed relevance. In this course, a working knowledge of the mathematics to describe fundamental sources of noise such as thermal noise will be developed. In this part of the course, Brownian motion and random walk models will be developed as a means to describe noise sources. Together with this background and statistical mechanical tools used to derive the equipartition theorem, the Langevin model of noise, and the fluctuation dissipation theorem will be developed. Processes such as the Ornstein-Uhlenbeck process, Langevin Brownian motion and some processes with fluctuations without dissipation will be studied. In the second part of the course, the Master equation approach to chemical and biological systems will be developed followed by the Fokker-Planck equation. Recent results in efficient computational methods will be studied. The application of such methods for simulation of a single Kinesin molecule on a microtubule will be presented. The final part of the course will develop the application of the developed tools for understanding the effect of noise in single motor protein dynamics and interrogation tools used to study single molecule dynamics like Atomic Force Microscope and Laser Tweezers. The course will involve reading of recent papers and projects by students. Time
11:15-12:30
Handouts: Homeworks :
|