# Project 20 Benchmark Problems for Modelling Intracellular Processes

## Contents

## Summary

Ordinary differential equation (ODE) models are frequently applied to describe intracellular biochemical processes. Here, we provide a set of 20 published benchmark models which should serve as test cases for assessing methodology for modelling.

An overview about the benchmark models is also provided at the github repository Benchmark-Models.

## Download

The 20 benchmark models are available with version control on github Benchmark-Models.

## Studies based on the 20 Benchmark problems

Here, we summarize several outcomes of benchmark studies performed on the 20 benchmark problems.

### Optimization at the Log-Scale

It has been shown [REF] that optimization algorithms have superior performance if parameters are optimized at the log-scale [REF].

### Convexity

It has been shown [REF] that the negative log-likelihood which has to be minimized for parameter estimation is more convex if the parameters are evaluated at the log-scale. It has been concluded that this fact is one reason for performance benefits of deterministic optimization algorithms if optimization is performed at the log-scale [REF].