LEAPS-MPS: Mathematical Modeling of Brain Structure in Neurodegenerative Diseases Exhibiting Prion-Like Spreading

LEAPS-MPS：表现出朊病毒样传播的神经退行性疾病中大脑结构的数学模型

• 批准号: 2316952
• 负责人: Michael Lindstrom
• 金额: $ 25万
• 依托单位: The University of Texas Rio Grande Valley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-09-01 至 2025-08-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2316952&HistoricalAwards=false
• 关键词: LEAPS; MPS; Mathematical; Modeling; Brain

Neurodegenerative diseases such as Alzheimer's Disease and Parkinson's Disease are associated with the spreading of neurotoxic proteins in the brain and the gradual loss of functional brain cells giving rise to symptoms according to where the damage takes place. Often the toxic proteins interact with and convert healthy proteins into toxic proteins. Both toxic and healthy proteins are transported between brain cells through complex pathways. Presently, an in-depth understanding of this spreading during disease progression is lacking in critical areas. With reference to clinical and experimental data for parameter inference, the investigator will develop mathematical models to describe the spread of toxic proteins qualitatively and quantitatively, with particular emphasis on brain structure. The results from this research will bring insights to new avenues of experimental and clinical exploration for treating disorders of the brain. The project will be conducted at a Hispanic Serving Institution and will provide research training and mentoring opportunities, including teaching computing and modeling skills relevant for the scientific workforce, at the undergraduate, graduate, and postdoctoral levels. The project is focused on the development of a model system of coupled, nonlinear differential equations for the biochemistry of proteins in different connectomes of the brain, with their associated pathways, and of a stochastic network model of protein transport to account for variations between brains. The system of differential equations can be studied from a dynamical systems perspective, with scientific computing, and asymptotic methods. The model results will enhance the understanding of potential disease trajectories, strategies for optimizing a particular outcome, and parameters that are of biological interest. The network model allows for considering distributions of parameters and other natural variations, quantifying uncertainty, and adding so-called logical conditions based in biology that are not well handled through differential equations. The project will address the question of existence of solutions to the model equations and establish properties of these solutions.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

神经退行性疾病（例如阿尔茨海默氏病和帕金森氏病）与神经毒性蛋白在大脑中的传播以及功能性脑细胞的逐渐丧失有关，从而根据损害发生损害引起症状。通常，有毒蛋白与健康蛋白质相互作用并将其转化为有毒蛋白。有毒和健康的蛋白质都通过复杂的途径在脑细胞之间运输。目前，在关键领域缺乏对疾病进展过程中这种传播的深入了解。关于参数推断的临床和实验数据，研究者将开发数学模型，以定性和定量地描述有毒蛋白的传播，并特别强调大脑结构。这项研究的结果将为治疗大脑疾病的实验和临床探索的新途径带来见解。该项目将在西班牙裔服务机构进行，并将提供研究培训和指导机会，包括教授与科学劳动力，本科，研究生和博士后水平相关的计算和建模技能。 该项目的重点是开发大脑不同连接蛋白的生物化学的耦合，非线性微分方程的模型系统，及其相关途径以及蛋白质传输的随机网络模型以考虑到大脑之间的变化。可以通过动态系统的角度研究微分方程的系统，并通过科学计算和渐近方法研究。该模型结果将增强对潜在疾病轨迹的理解，优化特定结果的策略以及具有生物学意义的参数。该网络模型允许考虑参数和其他自然变化的分布，量化不确定性，并添加基于生物学的所谓逻辑条件，这些条件无法通过微分方程进行很好的处理。该项目将解决模型方程解决方案的存在问题，并建立这些解决方案的属性。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛影响的评估标准通过评估来支持的。