INVERSION OF LAPLACE TRANSFORMS ON MICROCOMPUTERS

微机上拉普拉斯变换的反演

• 批准号: 3505196
• 负责人: MYLES L LAMSON
• 金额: $ 5万
• 依托单位: MICROMATH, INC.
• 依托单位国家: 美国
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-09-15 至 1988-03-14
• 项目状态: 已结题
• 来源: https://reporter.nih.gov/project-details/3505196
• 关键词: computer simulation; computer system design /evaluation; computers; information system analysis

The application of physical-chemical principles to biological systems frequently leads to situations in which the quantitative treatment of conceptually simple models is confounded by the complexity of the system. Such is the case, for example, in the study of the permeation (and possible concurrent metabolism) of drugs through complex biological membranes, the physiological modeling of the distribution of drugs throughout the body, and in the treatment of flow of fluids and concurrent diffusion/metabolism. Each of these problems can be approached by the technique of Laplace transforms and expressions readily developed for the Laplace transform of the problem's solution. The inversion of the Laplace transform to recover the problem solution is often sufficiently difficult to preclude the use of this otherwise elegant technique. The aim of this project is to utilize a recently published algorithm for the reliable and accurate numerical inversion of the Laplace transform as a building block for the development of an interactive and easy to use microcomputer program for the inversion of Laplace transforms. Problems that now take a day or more to solve by hand will be solved in seconds or minutes, complete with appropriate graphical output of results. The Laplace transform will assume the role of a routine everyday tool, rather than remain a curiosity that, for many scientists, is of little practical worth.

物理化学原理在生物学中的应用 系统经常导致定量的 处理概念上简单的模型是混淆的 系统的复杂性。 例如，在 的渗透（和可能的并发代谢）研究 药物通过复杂的生物膜， 药物在全身分布的建模， 流体流动和并发症的处理 扩散/代谢。 这些问题中的每一个都可以通过以下技术来解决： 拉普拉斯变换和表达式容易开发的 问题解的拉普拉斯变换。 的反转 用拉普拉斯变换恢复问题的解往往是 足够困难，以排除使用这种其他优雅的 法 该项目的目的是利用最近公布的算法 为了可靠和精确的数值反演的拉普拉斯 转变为发展的基石， 交互式和易于使用的微机程序， 拉普拉斯变换的反演。 现在的问题需要一天或 更多的手工解决将在几秒钟或几分钟内解决， 并以适当的图形输出结果。 的 拉普拉斯变换将承担日常工具的角色， 对许多科学家来说， 实际价值不大。