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Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics
We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology cour...
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Formato: | Texto |
Lenguaje: | English |
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American Society for Cell Biology
2010
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2931670/ https://www.ncbi.nlm.nih.gov/pubmed/20810955 http://dx.doi.org/10.1187/cbe.10-03-0019 |
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author | Robeva, Raina Davies, Robin Hodge, Terrell Enyedi, Alexander |
author_facet | Robeva, Raina Davies, Robin Hodge, Terrell Enyedi, Alexander |
author_sort | Robeva, Raina |
collection | PubMed |
description | We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network. |
format | Text |
id | pubmed-2931670 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2010 |
publisher | American Society for Cell Biology |
record_format | MEDLINE/PubMed |
spelling | pubmed-29316702010-09-02 Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics Robeva, Raina Davies, Robin Hodge, Terrell Enyedi, Alexander CBE Life Sci Educ Articles We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network. American Society for Cell Biology 2010 /pmc/articles/PMC2931670/ /pubmed/20810955 http://dx.doi.org/10.1187/cbe.10-03-0019 Text en © 2010 R. Robeva et al. CBE-Life Sciences Education © 2010 The American Society for Cell Biology under license from the author(s). It is available to the public under Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0). |
spellingShingle | Articles Robeva, Raina Davies, Robin Hodge, Terrell Enyedi, Alexander Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics |
title | Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics |
title_full | Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics |
title_fullStr | Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics |
title_full_unstemmed | Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics |
title_short | Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics |
title_sort | mathematical biology modules based on modern molecular biology and modern discrete mathematics |
topic | Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2931670/ https://www.ncbi.nlm.nih.gov/pubmed/20810955 http://dx.doi.org/10.1187/cbe.10-03-0019 |
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