数学家眼中生物学中数学应用的不合理无效性。

A mathematician's view of the unreasonable ineffectiveness of mathematics in biology.

机构信息

Department of Mathematics, University of Manchester, UK.

出版信息

Biosystems. 2021 Jul;205:104410. doi: 10.1016/j.biosystems.2021.104410. Epub 2021 Mar 23.

DOI:10.1016/j.biosystems.2021.104410

Abstract

This paper discusses, from a mathematician's point of view, the thesis formulated by Israel Gelfand, one of the greatest mathematicians of the 20th century, and one of the pioneers of mathematical biology, about the unreasonable ineffectiveness of mathematics in biology as compared with the obvious success of mathematics in physics. The author discusses the limitations of the mainstream mathematics of today when it is used in biology. He suggests that some emerging directions in mathematics have potential to enhance the role of mathematics in biology.

摘要

本文从数学家的角度讨论了 20 世纪最伟大的数学家之一、数学生物学的先驱之一伊萨克·巴罗·斯米尔诺夫（Israel Gelfand）的论文，该论文讨论了与数学在物理学中明显的成功相比，数学在生物学中不合理的无效性。作者讨论了当今主流数学在生物学中的应用的局限性。他认为，数学的一些新兴方向有可能增强数学在生物学中的作用。