Problem
Research questions and friction points this paper is trying to address.
mathematical models
research data infrastructure
knowledge graph
model fragmentation
scientific modeling
MathModDB: A Database for Mathematical Models
🤖 AI Summary
Researchers often encounter fragmented information when selecting mathematical models, as formulas, variables, assumptions, and their variants are scattered across disparate literature and domain-specific conventions. To address this challenge, this work proposes and constructs MathModDB—the first open knowledge graph dedicated to mathematical models—built upon the Wikibase framework and grounded in a prior ontological design. MathModDB systematically integrates model metadata, core equations, modeling assumptions, and associated variants. The knowledge graph has been incorporated into the MaRDI portal, forming a synergistic ecosystem with the numerical algorithms knowledge graph MathAlgoDB and the documentation tool MaRDMO. Its practical utility and value are demonstrated through a case study on arc discharge modeling in plasma physics.
📝 Abstract
When researchers need a mathematical model for a research problem, they face a fragmented landscape: relevant formulas, quantities, assumptions, and model variants are scattered across publications and domain-specific conventions. The Mathematical Models Database (MathModDB) addresses this challenge by providing a curated knowledge graph for mathematical models, deployed on the MaRDI Portal as part of the German National Research Data Infrastructure (NFDI). Building on ontology designs presented in earlier work, this paper focuses on MathModDB as a publicly available service. It addresses researchers who use mathematical models in their work -- whether in applied mathematics, engineering, or the natural sciences. We describe its deployment on the Wikibase-powered MaRDI Portal, report on its current scale, and demonstrate its practical use through a walkthrough of an electric discharge modeling use case from plasma physics. We further discuss the ecosystem around MathModDB, including its connection to the MathAlgoDB knowledge graph for numerical algorithms and the MaRDMO documentation tool.
Innovation
Methods, ideas, or system contributions that make the work stand out.
Mathematical Models Database
Knowledge Graph
Wikibase
Research Data Infrastructure
Model Curation
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