权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

Mathematical Modeling of Cell Biopreservation by Desiccation

细胞干燥生物保存的数学模型

基本信息

批准号：
8120677
负责人：
Stephen Howard Davis
金额：
$ 34.43万
依托单位：
NORTHWESTERN UNIVERSITY
依托单位国家：
美国
项目类别：
财政年份：
2008
资助国家：
美国
起止时间：
2008-08-01 至 2013-07-31
项目状态：
已结题

项目摘要

DESCRIPTION (provided by applicant): The objective of the proposed collaborative research is to carry out a comprehensive mathematical investigation of the key processes governing biopreservation of cells by vitrification and desiccation. The research will be focused on the formation of a glassy state in biological solutions and the interaction of the propagating glass transition fronts with cell membranes and intracellular organelles. This will be done by formulating the corresponding mathematical models and their investigation and solution by means of asymptotic and numerical methods. The proposed research program is planned as a close collaboration between a theoretical group at Northwestern University and an experimental group at the Harvard Medical School and the Massachusetts General Hospital. The results of theoretical analysis will be compared, analyzed and supported by experiments. The peculiarity of glassy systems is that the diffusion transport there is anomalous in that it is described by subdiffusion equations with fractional derivatives. From fundamental point of view, this research will allow one to understand the mechanisms of biopreservation based on the formation of glass inside the cell. From the biomedical point of view, this understanding will lead to improvement and optimization of biopreservation techniques and protocols to achieve higher cell survival rates. From the applied mathematics point of view, this research will develop new models and methods of solving special classes of non-trivial fractional PDEs (integro-differential equations) and associated free-boundary problems. The planned experimental work will be used as a guide in formulating the mathematical models. Analytical solutions will be sought in several limiting cases where asymptotic and perturbation methods can be applied, while a computational investigation will be done in the more general cases.

描述（由申请人提供）：拟议的合作研究的目的是通过玻璃化和干燥对细胞生物保存的关键过程进行全面的数学研究。该研究将集中在生物溶液中玻璃态的形成以及玻璃化转变前沿与细胞膜和细胞内细胞器的相互作用。这将通过制定相应的数学模型和他们的调查和解决方案的渐近和数值方法。西北大学的一个理论小组与哈佛医学院和马萨诸塞州总医院的一个实验小组密切合作，计划进行拟议的研究计划。理论分析的结果将被比较，分析和实验支持。玻璃体系的特殊性在于其扩散输运是反常的，因为它是由具有分数阶导数的亚扩散方程描述的。从基本的角度来看，这项研究将使人们了解基于细胞内玻璃形成的生物保存机制。从生物医学的角度来看，这种理解将导致生物保存技术和协议的改进和优化，以实现更高的细胞存活率。从应用数学的角度，本研究将发展新的模型和方法来解决特殊类别的非平凡分数阶偏微分方程（积分微分方程）和相关的自由边界问题。计划中的实验工作将被用来作为制定数学模型的指导。解析解将寻求在几个极限情况下，渐近和摄动方法可以应用，而计算调查将在更一般的情况下进行。