Studies in numerical analysis with applications to biochemical systems

数值分析及其在生化系统中的应用研究

• 批准号: 371976-2010
• 负责人: Ilie, Silvana
• 金额: $ 1.46万
• 依托单位: Ryerson University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=528441
• 关键词: Studies; numerical; analysis; applications; biochemical

My research is in the area of numerical analysis and scientific computing. Specifically, I have a strong background in the analysis and improvement of numerical algorithms from previous computational cost (e.g. exponential) to practical (polynomial) cost. Building on the strong platform of my results for such improvements in the differential algebraic equation solving, I plan to develop and analyze numerical methods for mathematical models of biochemical systems. I shall construct techniques for the efficient and accurate approximation of the solution to the problems under investigation. These methods will lead to improvement of existing software, which will allow scientists to solve more challenging problems than was previously possible and to effectively approximate and interpret the result of their simulations.

我的研究是在数值分析和科学计算领域。 具体而言，我在分析和改进数值算法的背景方面有很强的背景，从以前的计算成本（例如指数）到实用（多项式）成本。我计划在差异代数方程求解的强大平台上进行此类改进，我计划开发和分析生化系统数学模型的数值方法。我将构建技术，以有效，准确地近似于所研究问题的解决方案。这些方法将导致现有软件的改进，这将使科学家能够解决比以前可能的更具挑战性的问题，并有效地近似和解释其模拟的结果。