10:10-16:00, July 14 - September 1, 2016 

Room 201, Astronomy-Mathematics Building, NTU 

 

Speaker:

Chao-Ping Hsu ( Academia Sinica ) 

Ching-Cher Yan ( Academia Sinica ) 

 

 

Organizers:

Chao-Ping Hsu ( Academia Sinica ) 

Je-Chiang Tsai ( National Chung Cheng University ) 

Ching-Cher Yan ( Academia Sinica ) 

 

 

Goals of this course:

 

Recently there is a growing interest in the effect of noise in cell biology. The ubiquity of noise motivate the fundamental questions such as (1) how does noise at the cellular level translates into the robust behavior at the macroscopic level, and (2) can noise be exploited to enhance the performance of cellular function? These questions suggest that mathematical biologists and applied mathematicians need to have some background in stochastic process and its application in biological systems. In this summer course, we will introduce the theories in stochastic process and give its applications in some realistic biological systems. We will start from the tutorial level and then gives an overview of current state-of-the-art approaches for the application of stochastic process in cell biology. 

 

The goals of this course are to help the students with the following capabilities,

(1) basic mathematical and computational tools for describing stochastic dynamics, mainly for describing processes in a cell.

(2) building models for biological processes in a cell.

 

Title: 

 

7/14 General introduction: Dynamics in a cell and the importance of noises.

7/21 Random variables: Binomial, Gaussian and Poisson probabilities.

7/28 The chemical master equation.

8/4 The Langevin equation.

8/11 Treatment for gene expression: effect of Bursts.

8/18 Noise-filtering mechanism: Nonlinear versus Linear regulation.

8/25 Noise-filtering mechanism: feedbacks.

9/1 Noise-filtering mechanism: feed-forward motifs.

 

Date and Time:

 

10:10-12:00 and 14:10-16:00, every Thursday from Jul. 14 to Sep. 1, 2016.