What Can Partial Differential Equations Tell Us about Life?

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Title: What Can Partial Differential Equations Tell Us about Life?
Authors: Rodriguez, Nancy1 rodrign@colorado.edu
Source: UMAP Journal. 2023, Vol. 44 Issue 1, p13-38. 26p.
Subject Terms: Eighteenth century
Abstract: Partial differential equations were developed in the 18th century to model physical systems. Their inception has led to the continued development of a beautiful mathematical theory with an ever-increasing range of applications. In 1890, Poincare observed that its encompassing framework can allow us to ´ see similarities in a wide range of physical applications. We now know that the similarities extend far beyond physical applications to other fields such as chemistry, biology, ecology, and even sociology. We provide a brief history of the applications of partial differential equations and showcase some recent works with applications in ecology and sociology. [ABSTRACT FROM AUTHOR]
Copyright of UMAP Journal is the property of COMAP Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
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  Data: Partial differential equations were developed in the 18th century to model physical systems. Their inception has led to the continued development of a beautiful mathematical theory with an ever-increasing range of applications. In 1890, Poincare observed that its encompassing framework can allow us to ´ see similarities in a wide range of physical applications. We now know that the similarities extend far beyond physical applications to other fields such as chemistry, biology, ecology, and even sociology. We provide a brief history of the applications of partial differential equations and showcase some recent works with applications in ecology and sociology. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of UMAP Journal is the property of COMAP Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – TitleFull: What Can Partial Differential Equations Tell Us about Life?
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              Text: 2023
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