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The lost art of mathematical modelling.
Linnéa Gyllingberg1, Abeba Birhane2, David J T Sumpter3
1Department of Mathematics, Box 480, Uppsala, SE-751 06, Sweden.
Mathematical Biosciences
|May 31, 2023
Summary
Mathematical biology research overemphasizes model analysis over creative model formulation. Adopting a pluralistic approach, viewing systems from multiple perspectives, can revitalize mathematical modeling in biology.
Area of Science:
- Mathematical Biology
- Computational Biology
- Systems Biology
Background:
- Modern machine learning advancements are influencing mathematical biology.
- Current research trends show an overemphasis on analyzing existing models.
- There is a need to rebalance modeling activities in biological research.
Purpose of the Study:
- To critique the current state of mathematical biology in the context of machine learning.
- To advocate for a shift in focus from model analysis to creative model formulation.
- To propose a pluralistic approach to mathematical modeling in biology.
Main Methods:
- Critique of current practices in mathematical biology.
- Proposal of a pluralistic modeling approach.
- Case study using fish locomotion to illustrate the approach.
Main Results:
- Mathematical biology research currently prioritizes model analysis over model formulation.
- A pluralistic approach, considering multiple viewpoints, can address this imbalance.
- Pitfalls such as universalism and creating models of models hinder progress.
Conclusions:
- Rediscovering creative mathematical modeling is essential for advancing biological understanding.
- A pluralistic approach fosters a richer exploration of biological phenomena.
- Shifting focus towards formulation can reinvigorate the field of mathematical biology.
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