ArticlePLoS computational biology2023
PyRates-A code-generation tool for modeling dynamical systems in biology and beyond.
Article in PLoS computational biology, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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7 citing papers in PubMed.
- Neural population models for EEG: From Canonical models to alternative model structures.PLoS computational biology · 2026Article
- Article
- The Virtual Brain Ontology: A Digital Knowledge Framework for Reproducible Brain Network Modeling.bioRxiv : the preprint server for biology · 2025Article
- cuBNM: GPU-Accelerated Brain Network Modeling.bioRxiv : the preprint server for biology · 2025Article
- Joint contribution of adaptation and neuronal population recruitment to response level in visual area MT: a computational model.Scientific reports · 2025Article
- Direct and Retrograde Wave Propagation in Unidirectionally Coupled Wilson-Cowan Oscillators.Physical review letters · 2025Article
- Neural heterogeneity controls computations in spiking neural networks.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
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3 authors.
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Abstract
The mathematical study of real-world dynamical systems relies on models composed of differential equations. Numerical methods for solving and analyzing differential equation systems are essential when complex biological problems have to be studied, such as the spreading of a virus, the evolution of competing species in an ecosystem, or the dynamics of neurons in the brain. Here we present PyRates, a Python-based software for modeling and analyzing differential equation systems via numerical methods. PyRates is specifically designed to account for the inherent complexity of biological systems. It provides a new language for defining models that mirrors the modular organization of real-world dynamical systems and thus simplifies the implementation of complex networks of interacting dynamic entities. Furthermore, PyRates provides extensive support for the various forms of interaction delays that can be observed in biological systems. The core of PyRates is a versatile code-generation system that translates user-defined models into "backend" implementations in various languages, including Python, Fortran, Matlab, and Julia. This allows users to apply a wide range of analysis methods for dynamical systems, eliminating the need for manual translation between code bases. PyRates may also be used as a model definition interface for the creation of custom dynamical systems tools. To demonstrate this, we developed two extensions of PyRates for common analyses of dynamic models of biological systems: PyCoBi for bifurcation analysis and RectiPy for parameter fitting. We demonstrate in a series of example models how PyRates can be used in combination with PyCoBi and RectiPy for model analysis and fitting. Together, these tools offer a versatile framework for applying computational modeling and numerical analysis methods to dynamical systems in biology and beyond.
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