Mathematical Sciences: A Study of Chemical Reaction-Diffusion Systems with Boundary Feed and/or Boundary Interface

主要的研究人员将研究一类反应扩散系统，这类系统是在模拟由半透膜分割的隔区区域中的各种反应传输过程时产生的，特别强调具有复杂动力学的多组分模型。这样的模型出现在各种物理环境中，最明显的例子是有限细胞链内的反应-扩散过程。通过边界馈送形成稳定的空间模式的研究在物理上是现实的，并将导致对化学模型中空间模式发展的更多了解。

The principal investigator will study a class of reaction- diffusion systems which arise in modeling various reaction transport processes across compartmental domains divided by semi- permeable membranes with special emphasis on multi-species models with complex kinetics. Such models arise in a variety of physical settings, with the most obvious example being the reaction-diffusion process within a finite chain of cells. The investigation of the formation of stable spatial patterns through boundary feeds is physically realistic and will lead to increased understanding to the development of spatial patterns in chemical models.