English
Related papers

Related papers: ODEbase: A Repository of ODE Systems for Systems B…

200 papers

Motivated by the remarkable success of artificial intelligence (AI) across diverse fields, the application of AI to solve scientific problems, often formulated as partial differential equations (PDEs), has garnered increasing attention.…

Machine Learning · Computer Science 2025-10-21 Rohan Bhatnagar , Ling Liang , Krish Patel , Haizhao Yang

We advocates here the use of (mathematical) logic for systems biology, as a unified framework well suited for both modeling the dynamic behaviour of biological systems, expressing properties of them, and verifying these properties. The…

Logic in Computer Science · Computer Science 2017-01-19 Joëlle Despeyroux

Over the past decade, Artificial Intelligence has significantly advanced, mostly driven by large-scale neural approaches. However, in the chemical process industry, where safety is critical, these methods are often unsuitable due to their…

Machine Learning · Computer Science 2026-03-24 Julien Amblard , Niklas Groll , Matthew Tait , Mark Law , Gürkan Sin , Alessandra Russo

Symbolic computation is an important approach in automated program analysis. Most state-of-the-art tools perform symbolic computation as interpreters and directly maintain symbolic data. In this paper, we show that it is feasible, and in…

Programming Languages · Computer Science 2019-07-10 Henrich Lauko , Petr Ročkai , Jiří Barnat

Computer simulations have become an important tool across the biomedical sciences and beyond. For many important problems several different models or hypotheses exist and choosing which one best describes reality or observed data is not…

Quantitative Methods · Quantitative Biology 2010-01-20 Tina Toni , Michael P. H. Stumpf

Symbolic models are abstract descriptions of continuous systems in which symbols represent aggregates of continuous states. In the last few years there has been a growing interest in the use of symbolic models as a tool for mitigating…

Optimization and Control · Mathematics 2007-07-31 Giordano Pola , Paulo Tabuada

Machine learning (ML) has emerged as a pervasive tool in science, engineering, and beyond. Its success has also led to several synergies with molecular dynamics (MD) simulations, which we use to identify and characterize the major…

Biomolecules · Quantitative Biology 2022-05-09 Christopher Kolloff , Simon Olsson

We describe a method for the identification of models for dynamical systems from observational data. The method is based on the concept of symbolic regression and uses genetic programming to evolve a system of ordinary differential…

Machine Learning · Computer Science 2021-07-14 Gabriel Kronberger , Lukas Kammerer , Michael Kommenda

Symbolic regression is a machine learning technique that can learn the governing formulas of data and thus has the potential to transform scientific discovery. However, symbolic regression is still limited in the complexity and…

Machine Learning · Computer Science 2023-05-30 Michael Zhang , Samuel Kim , Peter Y. Lu , Marin Soljačić

The present work attempts both a review of previous methods for transferring digital and symbolic computations in an analog or optical substrate and also to offer certain alternatives not yet fully explored. The essential difference from…

Signal Processing · Electrical Eng. & Systems 2019-02-21 T. E. Raptis

We present a Machine Learning approach based on Symbolic Regression to derive, from either numerically generated or experimentally measured spectral data, closed-form expressions that model the optical properties of biological materials. To…

Computational Physics · Physics 2025-08-26 Julian Sierra-Velez , Alexandre Vial , Marina Inchaussandague , Diana Skigin , Demetrio Macías

By introducing a common representational system for metadata that describe the employed simulation workflows, diverse sources of data and platforms in computational molecular engineering, such as workflow management systems, can become…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-20 M. T. Horsch , C. Niethammer , G. Boccardo , P. Carbone , S. Chiacchiera , M. Chiricotto , J. D. Elliott , V. Lobaskin , P. Neumann , P. Schiffels , M. A. Seaton , I. T. Todorov , J. Vrabec , W. L. Cavalcanti

Our understanding of the physics of biological molecules, such as proteins and DNA, is limited because the approximations we usually apply to model inert materials are not in general applicable to soft, chemically inhomogeneous systems. The…

Quantum Physics · Physics 2010-07-13 Sarah Harris , Vivien M. Kendon

Ordinary differential equation models have become a standard tool for the mechanistic description of biochemical processes. If parameters are inferred from experimental data, such mechanistic models can provide accurate predictions about…

Quantitative Methods · Quantitative Biology 2018-10-12 Fabian Fröhlich , Carolin Loos , Jan Hasenauer

We propose a variant of the CCS process algebra with new features aiming at allowing multiscale modelling of biological systems. In the usual semantics of process algebras for modelling biological systems actions are instantaneous. When…

Logic in Computer Science · Computer Science 2010-11-03 Roberto Barbuti , Giulio Caravagna , Paolo Milazzo , Andrea Maggiolo-Schettini , Simone Tini

Background: Systems biology projects and omics technologies have led to a growing number of biochemical pathway reconstructions. However, mathematical models are still most often created de novo, based on reading the literature and…

The representation of workflows and processes is essential in materials science engineering, where experimental and computational reproducibility depend on structured and semantically coherent process models. Although numerous ontologies…

Information Retrieval · Computer Science 2025-09-30 Ebrahim Norouzi , Sven Hertling , Jörg Waitelonis , Harald Sack

Symbolic computation is the science of computing with symbolic objects (terms, formulae, programs, algebraic objects, geometrical objects, etc). Powerful symbolic algorithms have been developed during the past decades and have played an…

Symbolic Computation · Computer Science 2013-07-31 Adel Bouhoula , Tetsuo Ida , Fairouz Kamareddine

Flow diagrams are a common tool used to help build and interpret models of dynamical systems, often in biological contexts such as consumer-resource models and similar compartmental models. Typically, their usage is intuitive and informal.…

Quantitative Methods · Quantitative Biology 2016-06-10 C. Brandon Ogbunugafor , Sean P. Robinson

Many advances in research regarding immuno-interactions with cancer were developed with the help of ordinary differential equation (ODE) models. These models, however, are not effectively capable of representing problems involving…

Computational Engineering, Finance, and Science · Computer Science 2013-06-03 Grazziela P. Figueredo , Peer-Olaf Siebers , Uwe Aickelin