在人工智能时代加强人工神经网络的教学实践,使下一代参与生物数学。

IF 2.2 4区 数学 Q2 BIOLOGY
Jeremis Morales-Morales, Alonso Ogueda-Oliva, Carmen Caiseda, Padmanabhan Seshaiyer
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引用次数: 0

摘要

在这项工作中,我们提出了一个C-MATH-NN框架,该框架扩展了近年来开发的C-MATH框架,以一种引人入胜、跨学科和协作的方式使用人工神经网络(NN)进行预测,以帮助我们的下一代学生掌握先进的技术和批判性思维技能。具体来说,C-MATH框架通过数学模型成功地帮助学生理解现实世界的背景,然后通过适当的数值方法对数据进行数学分析和测试,最终使这项本科研究成为学生的习惯。此外,对一个简单的神经网络模型的主要组成部分的解释可以作为这个流行的人工智能工具的介绍。这一框架有助于有才华的学生在数学生物学研究和他们的学术目标方面取得成功。我们为所有感兴趣的学习者提供人工神经网络架构及其在疾病动力学中的应用的视觉介绍。我们在MS-Excel中引入了一个简单的前馈物理神经网络(PINN),它可以很好地用于流行病学模型和等效的Python实现,具有鲁棒性和可扩展性。在这项工作中介绍的产品与学生和教师的课程材料共享在一个在线存储库中,其中包括MS-Excel工作簿和Python文件,以方便获取技术工具,以便在自己的项目中探索和使用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Enhancing pedagogical practices with Artificial Neural Networks in the age of AI to engage the next generation in Biomathematics.

Enhancing pedagogical practices with Artificial Neural Networks in the age of AI to engage the next generation in Biomathematics.

Enhancing pedagogical practices with Artificial Neural Networks in the age of AI to engage the next generation in Biomathematics.

Enhancing pedagogical practices with Artificial Neural Networks in the age of AI to engage the next generation in Biomathematics.

In this work we present a C-MATH-NN framework that extends a C-MATH framework that was developed in recent years to include prediction using artificial neural networks (NN) in a way that is engaging, interdisciplinary and collaborative to help equip our next generation of students with advanced technological and critical thinking skills motivated by social good. Specifically, the C-MATH framework has successfully helped students understand a real-world Context through a mathematical Model which is then Analyzed mathematically and Tested through appropriate numerical methods with data, and finally this undergraduate research becomes a Habit for students. Furthermore, the explanation of the main components of a simple NN-model serves as an introduction to this popular artificial intelligence tool. This framework has contributed to the success of talented students in mathematical biology research and their academic goals. We present a visual introduction to the architecture of artificial neural networks and its application to disease dynamics for all interested learners. We introduce a simple feed forward physics-informed neural network (PINN) built in MS-Excel that works very well for an epidemiological model and an equivalent Python implementation that is robust and scalable. The products introduced in this work are shared in an online repository with curriculum material for students and instructors that includes MS-Excel workbooks and Python files to facilitate the acquisition of technology tools to explore and use in their own projects.

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来源期刊
CiteScore
3.90
自引率
8.60%
发文量
123
审稿时长
7.5 months
期刊介绍: The Bulletin of Mathematical Biology, the official journal of the Society for Mathematical Biology, disseminates original research findings and other information relevant to the interface of biology and the mathematical sciences. Contributions should have relevance to both fields. In order to accommodate the broad scope of new developments, the journal accepts a variety of contributions, including: Original research articles focused on new biological insights gained with the help of tools from the mathematical sciences or new mathematical tools and methods with demonstrated applicability to biological investigations Research in mathematical biology education Reviews Commentaries Perspectives, and contributions that discuss issues important to the profession All contributions are peer-reviewed.
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