2013.10.22 Mathematical Models of Biological Morphogenesis

2019-07-07 00:00:41 0

Alan Garfinkel, Ph.D.

 

Department of Medicine (Cardiology)

University of California, Los Angeles 


 

 

报告时间:2013年10月22日(星期二)下午13:00-14:00

 

地点:北京大学定量生物学中心老化学楼东配楼102会议室(理教路西/光华楼北侧)

 

摘要: 

In 1952, a revolutionary paper by Alan Turing introduced the idea that morphogenesis, the emergence of spatial structure, can be explained by bifurcations in the solutions to Partial Differential Equations representing the interactions of chemical morphogens reacting and diffusing through space. Turing’s original model produced simple patterns of spots or stripes. Since the discovery of physiological morphogens in the past few decades, even this simple model has had successful applications.

The growing maturity of the applications has now led modelers to more complex scenarios. Developments have included the extension of the original model to include cell density variables, the inclusion of mechanical factors, the extension to 3D spatial domains, and the study of patterns, such as branching structures, that occur far from the linear instability first studied by Turing. We will review examples of these new developments in the field of physiology and pathophysiology, exploring applications of Turing-style modeling to simple spot and stripe patterns, for example, in vascular calcification, and to more advanced morphologies such as branching patterns as seen in the lung and kidney.

  

主持人:欧阳颀教授