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

Title:
Enhancing pedagogical practices with Artificial Neural Networks in the age of AI to engage the next generation in Biomathematics.
Authors:
Morales-Morales J; Department of Mathematics and Applied Sciences, Inter American University of PR-San German, Puerto Rico, USA., Ogueda-Oliva A; Department of Mathematical Sciences, George Mason University, Fairfax, Virginia, USA., Caiseda C; Department of Natural Sciences and Mathematics, Inter American University of PR-Bayamon, Puerto Rico, USA. ccaiseda@bayamon.inter.edu., Seshaiyer P; Department of Mathematical Sciences, George Mason University, Fairfax, Virginia, USA.
Source:
Bulletin of mathematical biology [Bull Math Biol] 2025 Aug 31; Vol. 87 (10), pp. 139. Date of Electronic Publication: 2025 Aug 31.
Publication Type:
Journal Article
Language:
English
Journal Info:
Publisher: Springer Country of Publication: United States NLM ID: 0401404 Publication Model: Electronic Cited Medium: Internet ISSN: 1522-9602 (Electronic) Linking ISSN: 00928240 NLM ISO Abbreviation: Bull Math Biol Subsets: MEDLINE
Imprint Name(s):
Publication: New York, NY : Springer
Original Publication: New York, Pergamon Press.
References:
Science. 2009 Jul 31;325(5940):542-3. (PMID: 19644095)
CBE Life Sci Educ. 2010 Fall;9(3):196-200. (PMID: 20810951)
CBE Life Sci Educ. 2010 Fall;9(3):248-65. (PMID: 20810957)
Bull Math Biol. 2020 Jul 22;82(8):98. (PMID: 32700172)
Grant Information:
2230117 College of Science, George Mason University
Contributed Indexing:
Keywords: Artificial Neural Networks; C-MATH; MS-Excel; biomathematics modeling
Entry Date(s):
Date Created: 20250831 Date Completed: 20250831 Latest Revision: 20250929
Update Code:
20250929
PubMed Central ID:
PMC12399703
DOI:
10.1007/s11538-025-01511-4
PMID:
40886265
Database:
MEDLINE

Further Information

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.
(© 2025. The Author(s).)

Declarations. Competing Interest: The authors have no competing interests to declare relevant to the content of this article.