Mathematical modelling of brain formation to map species variation and developmental malformations.

大脑形成的数学模型，以绘制物种变异和发育畸形图。

• 批准号: 2748821
• 金额: --
• 依托单位: Swansea University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2022
• 资助国家: 英国
• 起止时间: 2022 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2748821
• 关键词: Mathematical; modelling; brain; formation; map

The developmental programme underpinning the formation of the brain results from the delicate regulation of complex spatio-temporal processes at the cellular scale. Variations of this programme lead to speciation, but they can also bring about malformations such as schizophrenia, epilepsy, and microcephaly. To date, brain development has been studied through analysis of sparse temporal data that may miss crucial information. This project aims to fill this gap in our knowledge via the development, analysis and numerical simulation of deterministic models formulated as partial integro-differential equations, and corresponding stochastic individual-based models for the complex spatio-temporal cellular processes underlying the variety of brain architectures, shapes and sizes that we observe in different animal species. The mathematical models that will be designed and studied are expected to complement empirical research by enabling extrapolation beyond scenarios which can be investigated through experiments and by revealing emergent phenomena that would otherwise remain unobserved. Moreover, they will pose a series of analytical and numerical challenges which will make them interesting mathematical objects per se.

支持大脑形成的发育程序是在细胞尺度上对复杂时空过程进行精细调节的结果。这一程序的变化导致物种形成，但它们也可能导致精神分裂症、癫痫和小头畸形。到目前为止，大脑发育的研究是通过分析可能错过关键信息的稀疏时间数据来进行的。该项目旨在通过开发，分析和数值模拟确定性模型来填补我们知识中的这一空白，这些模型被制定为偏积分微分方程，以及相应的随机个体模型，用于复杂的时空细胞过程，这些过程是我们在不同动物物种中观察到的各种大脑结构，形状和大小的基础。预计将设计和研究的数学模型将补充经验研究，使外推超越可以通过实验研究的情景，并揭示否则将无法观察到的新兴现象。此外，它们将带来一系列分析和数值挑战，这将使它们本身成为有趣的数学对象。