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As the frontiers of biology become increasingly interdisciplinary, the physics education community has engaged in ongoing efforts to make physics classes more relevant to life sciences majors. These efforts are complicated by the many…

The modeling theory of instruction is widely applied and highly successful in high-school instruction, and seldom in university physics. One reason is lack of familiarity with models in the physics classroom. Ongoing curriculum development…

Physics Education · Physics 2007-05-23 Eric Brewe

Modeling and simulation are recognized as important aspects of the scientific method for more than 70 years but its adoption in biology has been slow. Debates on its representativeness, usefulness, and whether the effort spent on such…

Quantitative Methods · Quantitative Biology 2023-02-21 Maurice HT Ling

Theory and empirical science should be in constant dialogue, but often find it hard to understand one another. Here we describe a graduate-level university course we developed to improve matters. The course was designed to help…

Physics Education · Physics 2026-04-16 Joanna Masel , Anna Dornhaus

Mathematical models are increasingly a part of microbiological research. Here, we share our perspective on how modeling advances the discipline by: (i) enforcing logical consistency, (ii) enabling quantitative prediction, (iii) extracting…

Other Quantitative Biology · Quantitative Biology 2026-04-22 Jamie A. Lopez , Amir Erez

The ability to develop, use, and refine models of experimental systems is a nationally recognized learning outcome for undergraduate physics lab courses. However, no assessments of students' model-based reasoning exist for upper-division…

The ability to construct, use, and revise models is a crucial experimental physics skill. Many existing frameworks describe modeling in science education at introductory levels. However, most have limited applicability to the context of…

Physics Education · Physics 2018-10-22 Dimitri R. Dounas-Frazer , H. J. Lewandowski

Background: Despite the potential benefits of software modelling, developers have shown a considerable reluctance towards its application. There is substantial existing research studying industrial use and technical challenges of modelling.…

Software Engineering · Computer Science 2023-01-05 Shalini Chakraborty , Grischa Liebel

This paper introduces and defends an account of model-based science that I dub model pluralism. I argue that despite a growing awareness in the philosophy of science literature of the multiplicity, diversity, and richness of models and…

History and Philosophy of Physics · Physics 2019-10-01 Walter Veit

Mathematical models are increasingly used in both academia and the pharmaceutical industry to understand how phenotypes emerge from systems of molecular interactions. However, their current construction as monolithic sets of equations…

Molecular Networks · Quantitative Biology 2007-10-19 Aneil Mallavarapu , Matthew Thomson , Benjamin Ullian , Jeremy Gunawardena

Within the biological, physical, and social sciences, there are two broad quantitative traditions: statistical and mathematical modeling. Both traditions have the common pursuit of advancing our scientific knowledge, but these traditions…

Other Statistics · Statistics 2026-03-05 Paul N Zivich

Model merging has achieved significant success, with numerous innovative methods proposed to enhance capabilities by combining multiple models. However, challenges persist due to the lack of a unified framework for classification and…

Machine Learning · Computer Science 2025-03-13 Wei Ruan , Tianze Yang , Yifan Zhou , Tianming Liu , Jin Lu

At its core, the physics paradigm adopts a reductionist approach, aiming to understand fundamental phenomena by decomposing them into simpler, elementary processes. While this strategy has been tremendously successful in physics, it has…

Biological Physics · Physics 2025-12-10 Ramón Nartallo-Kaluarachchi , Renaud Lambiotte , Alain Goriely

Modularity is a general principle present in many fields. It offers attractive advantages, including, among others, ease of conceptualization, interpretability, scalability, module combinability, and module reusability. The deep learning…

Machine Learning · Computer Science 2023-10-03 Haozhe Sun , Isabelle Guyon

A modeling formalism is proposed for the description and study of living and life-like systems. It provides an abstract conceptual model framework for real life and evolution of biological organisms. It is proposed, that this model…

Populations and Evolution · Quantitative Biology 2013-06-14 Margareta Segerståhl

Mathematical modelling has a long history in the context of collective cell migration, with applications throughout development, disease and regenerative medicine. The aim of modelling in this context is to provide a framework in which to…

Quantitative Methods · Quantitative Biology 2025-06-24 Ruth E. Baker , Rebecca M. Crossley , Carles Falco , Simon F. Martina-Perez

Educators and policy-makers have advocated for reform of undergraduate biology education, calling for greater integration of mathematics and physics in the biology curriculum. While these calls reflect the increasingly interdisciplinary…

Physics Education · Physics 2012-09-05 Jessica Watkins , Janet E. Coffey , Edward F. Redish , Todd J. Cooke

Nonlinear models and optimization methods have successfully tackled a rapidly growing set of problems in recent years. Indeed, a relatively small toolbox of such models and methods can provide sufficient performance across a large landscape…

Optimization and Control · Mathematics 2026-05-01 Akshunna S. Dogra

We review and extend existing frameworks on modeling to develop a new framework that describes model-based reasoning in upper-division physics labs. Constructing and using models are core scientific practices that have gained significant…

Physics Education · Physics 2015-10-28 Benjamin M. Zwickl , Dehui Hu , Noah Finkelstein , H. J. Lewandowski

Many disciplines use standard examples for education and to share and compare research results. The examples are rich enough to study from multiple points of view; they are often called model problems. Software design lacks such a community…

Software Engineering · Computer Science 2025-03-11 Mary Shaw , Marian Petre
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