Numerical Methods with Applications to Biochemical Systems

数值方法及其在生化系统中的应用

• 批准号: RGPIN-2015-05723
• 负责人: Ilie, Silvana
• 金额: $ 1.02万
• 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: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635654
• 关键词: Numerical; Methods; Applications; Biochemical; Systems

My research lies in the realm of numerical analysis and scientific computing. In the proposed research program, I plan to design and analyze numerical methods for approximating the solution of mathematical models of homogeneous and heterogeneous biochemical systems. This research will lead to improvement of existing software and will enable researchers in a key area of life sciences to model important biological processes much more productively, to effectively and reliably approximate the solution to their problems and to analyze and predict the behaviour of complex models. Previously, I developed efficient strategies for solving numerically initial value problems (IVP) for stochastic continuous models of homogeneous biochemical kinetics. In addition, I improved the computational cost of numerical algorithms for solving initial value problems for differential algebraic equations from existing exponential to polynomial cost.

我的研究领域是数值分析和科学计算。在拟议的研究计划中，我计划设计和分析数值方法，以近似求解均相和非均相生化系统的数学模型。这项研究将导致现有软件的改进，并将使生命科学关键领域的研究人员能够更有效地对重要的生物过程进行建模，有效和可靠地近似解决他们的问题，并分析和预测复杂模型的行为。以前，我开发了有效的策略来解决齐次生化动力学的随机连续模型的数值初值问题(IVP)。此外，将求解微分代数方程初值问题的数值算法的计算代价从现有的指数型改进为多项式型。