Modeling Dynamic Processes in the Intracranial System
颅内系统动态过程建模
基本信息
- 批准号:9626391
- 负责人:
- 金额:$ 10.5万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:1996
- 资助国家:美国
- 起止时间:1996-08-15 至 2000-07-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
9626391 Lakin The investigator combines biomathematical modeling, computation, scaling, asymptotics and perturbation techniques to obtain a more complete understanding of basic physical mechanisms associated with dynamic processes in the human intracranial system. A consistent, fully time-dependent, nonlinear lumped parameter model describing interactions between pressures, volumes, and flows in intracranial space is refined, validated, and expanded to include additional physiology, such as cerebrovascular autoregulation and links to the spinal cerebrospinal fluid space. First order processes and relevant time scales are identified using scaling and asymptotic techniques. To achieve the higher resolution necessary to consider focal events, dynamic modeling within compartments and consistent linkage of sub-models with the rest of the lumped parameter system is explored. Computational methods and strategies for efficient numerical solution of the nonlinear model equations are developed. In particular, results obtained using hybrid asymptotic-numerical methods show great promise in the present context where processes occur on disparate time scales. This project seeks to develop a realistic yet tractable mathematical model for pressures and fluid flows in the human brain. Toward this end, the current model formulation is extended to include additional human physiology, such as cerebrovascular autoregulation, the mechanism which maintains the blood flow in the brain necessary for adequate oxygen transfer in the face of fluctuating blood pressure. New hybrid solution techniques are developed to carry out efficient and accurate computer simulations of pressures and flows based on the model equations. The enhanced model is also validated by comparing its mathematical predictions with physiological data. Situations involving both normal and pathophysiology are studied. This research is part of an interdisciplinary effort involving both applied mathema ticians and neurosurgeons. Although the developing mathematical model appears to have significant clinical utility in situations involving pathology, clinical aspects are not considered in the present research. The focus is entirely on increasing our basic understanding of pressures and flows in the brain. Once developed and validated, the enhanced mathematical model will be useful to researchers studying applications associated with biotechnology. For example, regulation of the vascular system in the brain plays a crucial role in conditions such as trauma and stroke. Currently, nitric oxide is emerging as a key factor in adjusting brain blood flow. The enhanced mathematical model, which includes a vascular regulation equation, can be used to study the effect of nitric oxide synthase (NOS) inhibitors on the brain. The development of NOS inhibitors is a subject of great current interest to U.S. biotechnology companies.
小行星9626391 研究人员结合生物数学建模,计算,缩放,渐近和扰动技术,以获得更完整的理解与人类颅内系统的动态过程相关的基本物理机制。 一个一致的,完全依赖于时间的,非线性集总参数模型描述颅内空间的压力,体积和流量之间的相互作用进行了改进,验证,并扩展到包括额外的生理,如脑血管自动调节和链接到脊髓脑脊液空间。 一阶过程和相关的时间尺度确定使用缩放和渐近技术。 为了实现更高的分辨率,需要考虑的焦点事件,车厢内的动态建模和子模型与集总参数系统的其余部分的一致联系进行了探讨。 计算方法和策略的有效数值解的非线性模型方程。 特别是,使用混合渐近数值方法得到的结果显示出很大的希望,在目前的背景下,过程发生在不同的时间尺度。 该项目旨在开发一个现实但易于处理的人脑压力和流体流动的数学模型。 为此,目前的模型配方扩展到包括额外的人体生理学,如脑血管自动调节,在面对波动的血压,保持足够的氧气转移所需的大脑中的血流的机制。 新的混合解决方案技术的开发进行有效和准确的计算机模拟的压力和流量的模型方程的基础上。 增强的模型也通过比较其数学预测与生理数据进行验证。 涉及正常和病理生理的情况进行了研究。 这项研究是应用神经外科医生和神经外科医生跨学科努力的一部分。 虽然发展中的数学模型似乎有显着的临床效用的情况下,涉及病理学,临床方面没有考虑在本研究中。 重点完全是增加我们对大脑中压力和流量的基本理解。 一旦开发和验证,增强的数学模型将有助于研究与生物技术相关的应用的研究人员。 例如,大脑中血管系统的调节在创伤和中风等疾病中起着至关重要的作用。 目前,一氧化氮正在成为调节脑血流的关键因素。 增强的数学模型,其中包括一个血管调节方程,可用于研究一氧化氮合酶(NOS)抑制剂对大脑的影响。 NOS抑制剂的开发是美国生物技术公司当前非常感兴趣的主题。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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William Lakin其他文献
William Lakin的其他文献
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{{ truncateString('William Lakin', 18)}}的其他基金
Short visit for Planning a Mexico-USA Conference on Partial Differential Equations; Mexico City, Mexico, March 1992
短期访问规划墨西哥-美国偏微分方程会议;
- 批准号:
9203492 - 财政年份:1992
- 资助金额:
$ 10.5万 - 项目类别:
Standard Grant
Higher Modes of the Orr-Sommerfeld Equation For Unbounded Flows
无界流奥尔-索末菲方程的高阶模态
- 批准号:
7908687 - 财政年份:1979
- 资助金额:
$ 10.5万 - 项目类别:
Standard Grant
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