Diffusion driven pattern formation and signal propagation in spatially complex excitable media

空间复杂可激发介质中扩散驱动的图案形成和信号传播

• 批准号: DP0345572
• 负责人: Em/Prof Bruce Henry
• 金额: $ 12.92万
• 依托单位: The University of New South Wales
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2003
• 资助国家: 澳大利亚
• 起止时间: 2003-02-01 至 2006-06-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0345572
• 关键词: Diffusion; driven; pattern; formation; signal

A basic understanding of the mechanisms for pattern formation, from the spots on leopards to electrical signalling of neurons, has been achieved through reaction-diffusion equations. However to obtain a complete understanding, which is vital for many applications, it is necessary to modify this mathematical model to incorporate spatial complexities in the underlying media. This project will develop a fractional calculus framework for pattern formation, including signal propagation, in spatially complex and excitable media. In a particular application we will model the way in which the signalling properties of neurons depend critically on their spatial complexity.

通过反应扩散方程，我们对模式形成的机制有了基本的了解，从豹子身上的斑点到神经元的电信号。 然而，要获得一个完整的理解，这是至关重要的许多应用程序，有必要修改这个数学模型，以纳入空间的复杂性在底层介质。 这个项目将开发一个分数微积分框架模式的形成，包括信号传播，在空间复杂和可激发的介质。 在一个特定的应用程序中，我们将模拟神经元的信号特性严重依赖于它们的空间复杂性的方式。