simode: R Package for statistical inference of ordinary differential equations using separable integral-matching

TL;DR

simode is an R package that uses separable integral-matching techniques for more accurate and stable parameter inference in ordinary differential equations, leveraging mathematical structures like separability.

Contribution

The paper introduces simode, an R package that applies integral-matching methods exploiting separability in ODEs for improved parameter estimation.

Findings

Integral-matching yields more accurate parameter estimates than derivative-based methods.

Separable structures facilitate easier optimization and inference.

The package demonstrates effectiveness on various ODE systems.

Abstract

In this paper we describe simode: Separable Integral Matching for Ordinary Differential Equations. The statistical methodologies applied in the package focus on several minimization procedures of an integral-matching criterion function, taking advantage of the mathematical structure of the differential equations like separability of parameters from equations. Application of integral based methods to parameter estimation of ordinary differential equations was shown to yield more accurate and stable results comparing to derivative based ones. Linear features such as separability were shown to ease optimization and inference. We demonstrate the functionalities of the package using various systems of ordinary differential equations.