scholarly journals PDEparams: Parameter fitting toolbox for partial differential equations in Python

2019 ◽  
Author(s):  
César Parra-Rojas ◽  
Esteban A. Hernandez-Vargas
Keyword(s):  
Parameter Estimation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Biological Systems ◽  
Source Code ◽  
Parameter Analysis ◽  
Partial Differential ◽  
Parameter Fitting ◽  
Link Type ◽  
Boot Strapping

AbstractMotivationPartial differential equations (PDEs) is a well-established and powerful tool to simulate multi-cellular biological systems. However, available free tools for validation against data are not established. ThePDEparamsmodule provides flexible functionality in Python for parameter estimation in PDE models.ResultsThePDEparamsmodule provides a flexible interface and readily accommodates different parameter analysis tools in PDE models such as computation of likelihood profiles, and parametric boot-strapping, along with direct visualisation of the results. To our knowledge, it is the first open, freely available tool for parameter fitting of PDE models.Availability and implementationThePDEparamsmodule is distributed under the MIT license. The source code, usage instructions and step-by-step examples are freely available on GitHub atgithub.com/systemsmedicine/[email protected]

scholarly journals PDEparams: parameter fitting toolbox for partial differential equations in python

2019 ◽  
Vol 36 (8) ◽  
pp. 2618-2619 ◽  
Author(s):  
César Parra-Rojas ◽  
Esteban A Hernandez-Vargas
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Source Code ◽  
Parameter Analysis ◽  
Supplementary Information ◽  
Direct Visualization ◽  
Supplementary Data ◽  
Partial Differential ◽  
Parametric Bootstrapping ◽  
Parameter Fitting

Abstract Motivation Partial differential equations (PDEs) is a well-established and powerful tool to simulate multi-cellular biological systems. However, available free tools for validation against data are on development. Results The PDEparams module provides a flexible interface and readily accommodates different parameter analysis tools in PDE models such as computation of likelihood profiles, and parametric bootstrapping, along with direct visualization of the results. To our knowledge, it is the first open, freely available tool for parameter fitting of PDE models. Availability and implementation PDEparams is distributed under the MIT license. The source code, usage instructions and examples are freely available on GitHub at github.com/systemsmedicine/PDE_params. Supplementary information Supplementary data are available at Bioinformatics online.

scholarly journals Erratum to “Conserved vectors with conformable derivative for certain systems of partial differential equations with physical applications”

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 1108-1110
Author(s):  
Pinki Kumari ◽  
R. K. Gupta ◽  
Sachin Kumar ◽  
Maysaa Mohamed Al Qurashi
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Conformable Derivative ◽  
Partial Differential ◽  
Related Article ◽  
Link Type ◽  
Article Type

Abstract This erratum corrects the typing mistakes of the article “Conserved vectors with conformable derivative for certain systems of partial differential equations with physical applications,” published in Open Physics 2020;18(1):164–9, https://doi.org/10.1515/phys-2020-0127.

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