The Mathematical Modelling of Various Problems arising in the Biomedical Sciences

生物医学科学中出现的各种问题的数学建模

• 批准号: RGPIN-2014-04772
• 负责人: Sivaloganathan, Sivabal
• 金额: $ 2.48万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=588007
• 关键词: Mathematical; Modelling; Various; Problems; arising

Quantitative models are playing an increasingly central role in the biological sciences and are rapidly becoming an indispensable tool for discoveries of the future in these fields. The development of an accurate, quantitative model suitable for simulating the response of soft biological tissues under different scenarios will be an important milestone in the applied biological sciences. Whilst conventional experimental approaches have contributed to major advances in the biological sciences, there is room for significant improvement. Fresh approaches are needed to gain a deeper understanding of the principles underlying the development and function of biological systems and how these may go awry.Clearly the application areas in the biosciences for appropriate mathematical/computational frameworks are manifold. These range from conditions such as hydrocephalus (a clinical condition frequently encountered by neurosurgeons) to the treatment and control of tumours in clinical oncology. Half a century of biomedical research has produced very modest improvements in the treatment and management of such conditions and diseases. Mathematical models, computer simulations and engineering technologies have also contributed to translational research that has revolutionized clinical management and treatment, resulting in decreased mortality and healthcare costs. My long term research program is focussed on the development of a comprehensive quantitative model, coupled with experimentally informed computer simulations to develop a more fundamental understanding of the response of biological tissues in vastly different loading situations. The careful coupling of mathematical modelling and well designed experiments will result in a deeper understanding of the underlying mechanisms that give rise to many long standing medical conditions and diseases and provide rational guidance in the search for appropriate therapies.

定量模型在生物科学中发挥着越来越重要的作用，并迅速成为这些领域未来发现不可或缺的工具。开发适合模拟不同场景下生物软组织反应的准确、定量模型将是应用生物科学的一个重要里程碑。虽然传统的实验方法为生物科学的重大进步做出了贡献，但仍有重大改进的空间。需要新的方法来更深入地了解生物系统的发展和功能的原理以及这些原理如何可能出错。显然，适当的数学/计算框架在生物科学中的应用领域是多方面的。这些范围从脑积水（神经外科医生经常遇到的临床病症）等病症到临床肿瘤学中肿瘤的治疗和控制。半个世纪的生物医学研究在此类病症和疾病的治疗和管理方面取得了非常有限的进步。数学模型、计算机模拟和工程技术也为转化研究做出了贡献，彻底改变了临床管理和治疗，从而降低了死亡率和医疗费用。 我的长期研究计划侧重于开发一个全面的定量模型，再加上基于实验的计算机模拟，以对生物组织在截然不同的负载情况下的反应有更基本的了解。数学模型和精心设计的实验的仔细结合将使人们更深入地了解引起许多长期存在的医疗状况和疾病的潜在机制，并为寻找适当的疗法提供合理的指导。