Computing Facilities and Visualization in Mathematical Modelling for Multiscale Systems

拟议的研究整合了数学建模和应用的基础研究，解决了数学上丰富和实际上重要的问题。它的总体目标是开发数学和计算模型，理论和工具，用于描述和计算分析几个大型关键类的物理，生物和工程多尺度系统。它将包括创新的真实的生活应用这些系统和丰富他们的研究与普遍和无处不在的数学理论和数值技术的基础。这些基础知识的发展将与其他学科密切合作，包括实验，从而实现真正原创，独特和最高质量的研究。所需基础设施的选择（包括一对一服务器可视化控制台模型和备份数据解决方案）直接由PI及其合作者的研究计划决定。该设备将用于多尺度系统建模的关键任务，特别是对环境友好型复杂材料的系统分析和开发用于分析重要类别生物系统的先进工具。所要求的基础设施将使提案中所述的一系列其他关键相关任务的研究取得快速进展。横跨威尔弗里德·劳里埃大学战略研究计划的主要专题群，拟议的研究将为具有挑战性和全球重要性的跨学科研究的关键领域带来更多的协同作用，数学建模将发挥主要作用。它还将加强HQP的支持，这是一个机构的优先事项，有助于Lauier吸引和培训高素质学员的能力，这些学员需要像当前提案中指定的那样结合计算和成像资源。所要求的基础设施和PI创新的跨学科研究计划对于在替代和可再生能源以及生物和传感技术等领域的数学和计算模型的发展方面产生重大影响的持续进展至关重要，为加拿大经济的重要部门做出了有意义的贡献。PI团队的活动将通过完善的策略进行协调，这些策略涉及PI及其合作者管理的几种促进格式，Laurier包括新技术数学建模（MM）实验室和科学发现，创新和可持续性数学和统计建模跨学科研究所（MS2Discovery）。所要求的基础设施将通过MS2Discovery加速不同部门之间的进一步互动，并加强与工业公司，实验室和私营部门的联系。********

The proposed research integrates fundamental research in mathematical modelling and applications, addressing mathematically rich and practically important problems. Its overall objective is to develop mathematical and computational models, theory and tools for the description and computational analysis of several large key classes of physical, biological, and engineering multiscale systems. It will be encompassing innovative real life applications of such systems and enriching their studies with prevalent and ubiquitous fundamentals of mathematical theory and numerical techniques. The development of such fundamentals will be carried out in close conjunction with other disciplines, including experimental, leading to a truly original, unique, and highest quality research. The choice of the requested infrastructure, consisting of the one-to-one server-visualization console model and backup data solution, is directly dictated by the research programs of PI and his collaborators. The equipment will be used for critical tasks in modelling multiscale systems, in particular a systematic analysis of environmentally-friendly complex materials and the development of advanced tools for the analysis of important classes of biological systems. The requested infrastructure will enable quick research progress on a series of other key related tasks, described in the proposal. Spanning the major thematic clusters of Wilfrid Laurier University's Strategic Research Plan, the proposed research will bring added synergies into the crucial areas of challenging and globally important interdisciplinary research, with mathematical modelling playing a primary role. It will also enhance HQP support, an institutional priority, facilitating Lauier's capacity to attract and train high caliber trainees on projects that require such a combination of computing and imaging resources as those specified in the current proposal. The requested infrastructure and the PI innovative interdisciplinary research program are essential to the continuous progress in making a significant impact on the development of mathematical and computational models for such areas as alternative and renewable energy, as well as bio- and sensing technologies, producing meaningful contributions to important sectors of the Canadian economy. Activities of the PI team will be coordinated via well-established strategies involving several facilitating formats managed by PI and his collaborators, which at Laurier include the Mathematical Modeling for New Technologies (MM) Laboratory and the Interdisciplinary Research Institute for Mathematical and Statistical Modelling in Scientific Discovery, Innovation and Sustainability (MS2Discovery). The requested infrastructure will accelerate further interactions between different Departments through MS2Discovery, as well as strengthen the established links with industrial companies, laboratories, and private sector. ********