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起着越来越多的核心作用，并且正在迅速成为在这些领域发现未来的必不可少的工具。在不同情况下，适用于模拟软生物组织反应的精确，定量模型的开发将是应用生物科学的重要里程碑。尽管常规的实验方法促进了生物科学的重大进展，但仍有显着改善的空间。需要采取新的方法来深入了解生物系统开发和功能的原理以及它们如何出现的。这些范围从诸如脑积水（神经外科医生经常遇到的临床状况）等疾病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治疗和管理此类疾病和疾病方面取得了非常适中的改善。数学模型，计算机模拟和工程技术也有助于翻译研究，该研究彻底改变了临床管理和治疗，导致死亡率和医疗保健成本降低。 我的长期研究计划的重点是开发全面的定量模型，再加上实验知情的计算机模拟，以在极大不同的负载情况下对生物组织的反应有了更基本的了解。数学建模和精心设计的实验的仔细耦合将使人们对基本机制有更深入的了解，这些机制会导致许多长期存在的医疗状况和疾病，并在寻找适当疗法时提供合理的指导。