Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics

Robeva, Raina; Davies, Robin; Hodge, Terrell L.; Enyedi, Alexander J.

doi:10.1187/cbe.10-03-0019

Cited by 20 publications

(12 citation statements)

References 29 publications

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“…Such collaboration could lead to new mathematics courses, or supplementary instruction, involving biological examples in calculus and statistics courses. This can be done by sharing research data and, or, discussing interdisciplinary papers dealing with computational biology, and planning effective ways to present this information in their classes (Robeva, Davies, Hodge, & Enyedi, 2010;Watkins, 2010). In addition, lecturers can consider using, or modifying, the activities and materials developed within international projects, such as Compass, DynaMat, Primas, etc.…”

Section: Mathematical Competence Assessmentmentioning

confidence: 99%

Interdisciplinary Mathematics Education

Doig¹,

Williams²,

Swanson³

et al. 2019

ICME-13 Monographs

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Section: Mathematical Competence Assessmentmentioning

confidence: 99%

Interdisciplinary Mathematics Education

Doig¹,

Williams²,

Swanson³

et al. 2019

ICME-13 Monographs

View full text Add to dashboard Cite

“…The module is part of a collection of mathematical biology modules based on modern molecular biology and modern discrete mathematics that is currently under development at Sweet Briar College and Western Michigan University (see [14]). The module illustrates the basic steps of developing, validating, and refining an FDS model, using the lactose utilization network of E. coli as an example.…”

Section: Discussionmentioning

confidence: 99%

Boolean Biology: Introducing Boolean Networks and Finite Dynamical Systems Models to Biology and Mathematics Courses

Robeva

Kirkwood

Davies

2011

Math. Model. Nat. Phenom.

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Abstract. Since the release of the Bio 2010 report in 2003, significant emphasis has been placed on initiating changes in the way undergraduate biology and mathematics courses are taught and on creating new educational materials to facilitate those changes. Quantitative approaches, including mathematical models, are now considered critical for the education of the next generation of biologists. In response, mathematics departments across the country have initiated changes to their introductory calculus sequence, adding models, projects, and examples from the life sciences, or offering specialized calculus courses for biology majors. However, calculus-based models and techniques from those courses have been slow to propagate into the traditional general biology courses. And although modern biology has generated exciting opportunities for applications of a broad spectrum of mathematical theories, the impact on the undergraduate mathematics courses outside of the calculus/ordinary differential equations sequence has been minimal at best. Thus, the limited interdisciplinary cross-over between the undergraduate mathematics and biology curricula has remained stubbornly stagnant despite ongoing calls for integrated approaches.We think that this phenomenon is due primarily to a lack of appropriate non-calculus-based interdisciplinary educational materials rather than inaccessibility of the essential underlying mathematical and biology concepts. Here we present a module that uses Boolean network models of the lac operon regulatory mechanism as an introduction to the conceptual importance of mathematical models and their analysis. No mathematics background beyond high school algebra is necessary to construct the model, which makes the approach particularly appropriate for introductory biology and mathematics courses. Initially the module focuses on modeling via Boolean logic, Boolean algebra, discrete dynamical systems, and directed graphs. The analysis of the model, however, leads to interesting advanced mathematical questions involving polynomial ideals and algebraic * Corresponding author. E-mail: robeva@sbc.edu Boolean Biology: Introducing Boolean Networks varieties that are beyond the mathematical proficiency of most biology students but are of interest in advanced level abstract algebra courses. These questions can also be used to map a path toward further research-level problems. All computations are carried out by computational algebra systems and the advanced mathematical theory implemented by the software can be covered in detail in abstract algebra courses with mathematics students. Biology students and students in lower level mathematic courses, on the other hand, can view the implementation as a "black box" and focus on the interpretation and the implications of the output.The module is available from the authors for classroom testing and adoption.

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“…put forward the corresponding teaching implementation plan, propose a layered, modular knowledge framework, and provide basis for training students and curriculum construction according to the different training objectives of science, engineering and application. Reference [3] 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. Reference [4] uesd discrete mathematics thinking and method to put together with the relevant curriculum theory and application to drive other relevant professional course study.…”

Section: Present Situation and Development Direction Of Discrete mentioning

confidence: 99%

Discussion on the Reform of Discrete Mathematics Teaching in Combination with Cases

Xing¹,

Jin²

2018

Proceedings of the 2018 4th International Conference on Social Science and Higher Education (ICSSHE 2018)

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The traditional discrete mathematics teaching mode has not adapted to the needs of the training of applied talents at the present stage. Therefore, combining the practice case with the practice case, the students will connect the students to the knowledge and the application effectively. The students understand the theory on line and put forward solutions to the practical problems online. Discuss how to improve the method in the classroom. The feedback results show that the reform of this model is generally accepted by the students, and it is easier for students to master the practical application of the theory than the traditional model. In addition, the teaching design can be amended effectively through the feedback results of the practice of the teaching link, and the teaching reform is deepened.

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Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics

Cited by 20 publications

References 29 publications

Interdisciplinary Mathematics Education

Interdisciplinary Mathematics Education

Boolean Biology: Introducing Boolean Networks and Finite Dynamical Systems Models to Biology and Mathematics Courses

Discussion on the Reform of Discrete Mathematics Teaching in Combination with Cases

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