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Mathematical Modelling in Biomedicine: A Primer for the Curious and the Skeptic

机译:生物医学中的数学建模:好奇和怀疑论者的底漆

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摘要

In most disciplines of natural sciences and engineering, mathematical and computational modelling are mainstay methods which are usefulness beyond doubt. These disciplines would not have reached today’s level of sophistication without an intensive use of mathematical and computational models together with quantitative data. This approach has not been followed in much of molecular biology and biomedicine, however, where qualitative descriptions are accepted as a satisfactory replacement for mathematical rigor and the use of computational models is seen by many as a fringe practice rather than as a powerful scientific method. This position disregards mathematical thinking as having contributed key discoveries in biology for more than a century, e.g., in the connection between genes, inheritance, and evolution or in the mechanisms of enzymatic catalysis. Here, we discuss the role of computational modelling in the arsenal of modern scientific methods in biomedicine. We list frequent misconceptions about mathematical modelling found among biomedical experimentalists and suggest some good practices that can help bridge the cognitive gap between modelers and experimental researchers in biomedicine. This manuscript was written with two readers in mind. Firstly, it is intended for mathematical modelers with a background in physics, mathematics, or engineering who want to jump into biomedicine. We provide them with ideas to motivate the use of mathematical modelling when discussing with experimental partners. Secondly, this is a text for biomedical researchers intrigued with utilizing mathematical modelling to investigate the pathophysiology of human diseases to improve their diagnostics and treatment.
机译:在自然科学和工程的大多数学科中,数学和计算建模是主要方法,这些方法是超出疑问的有用性。这些学科不会达到今天的复杂程度,而无需密集地使用数学和计算模型以及定量数据。然而,在许多分子生物医学和生物医学中尚未遵循这种方法,其中定性描述被接受作为数学严格的令人满意的替代,并且许多人认为计算模型的使用,而不是一种强大的科学方法。这种职位无视数学思维,因为在生物学中有贡献了多个世纪以来的贡献,例如,在基因,遗传和演化之间或酶促催化机制之间。在这里,我们讨论了计算模拟在生物医学中现代科学方法的阿森纳的作用。我们列出了对生物医学实验主义者中发现的数学建模的频繁的误解,并提出了一些可以帮助弥合建模和生物医学的实验研究人员之间的认知差距的良好做法。这份手稿是用两个读者写的。首先,它适用于有物理,数学或工程的背景的数学建模者,他们想要跳入生物医学。我们为他们提供了与实验合作伙伴讨论时激励数学建模的想法。其次,这是利用数学建模来研究人类疾病的病理生理学以改善其诊断和治疗的生物医学研究人员的文本。

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