Kinetic modeling of multi-step transformations using sequential dynamic flow experiments

Abstract

In this paper, we present the development of a kinetic model for multi-step transformations, comprising of a Paal–Knorr pyrrole reaction followed by a nucleophilic aromatic substitution within a continuous-flow process, utilizing data obtained from sequential dynamic flow experiments. The reaction networks were fitted to achieve successful parameter estimation (7 parameters in total) with a R2 of 0.974 for the desired Paal–Knorr product and a R2 of 0.998 for the nucleophilic aromatic substitution product. Model validation based on dynamic flow experiments was extended beyond the previously explored experimental space. In silico simulation involving a threefold higher concentration of the nucleophile than previously studied resulted in approximately 7% model predicted difference to the experimental results.

Graphical abstract: Kinetic modeling of multi-step transformations using sequential dynamic flow experiments

Supplementary files

Article information

Article type
Paper
Submitted
15 Jul 2025
Accepted
10 Nov 2025
First published
12 Nov 2025
This article is Open Access
Creative Commons BY-NC license

React. Chem. Eng., 2026, Advance Article

Kinetic modeling of multi-step transformations using sequential dynamic flow experiments

K. Silber, F. L. Wagner, C. A. Hone and C. O. Kappe, React. Chem. Eng., 2026, Advance Article , DOI: 10.1039/D5RE00306G

This article is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported Licence. You can use material from this article in other publications, without requesting further permission from the RSC, provided that the correct acknowledgement is given and it is not used for commercial purposes.

To request permission to reproduce material from this article in a commercial publication, please go to the Copyright Clearance Center request page.

If you are an author contributing to an RSC publication, you do not need to request permission provided correct acknowledgement is given.

If you are the author of this article, you do not need to request permission to reproduce figures and diagrams provided correct acknowledgement is given. If you want to reproduce the whole article in a third-party commercial publication (excluding your thesis/dissertation for which permission is not required) please go to the Copyright Clearance Center request page.

Read more about how to correctly acknowledge RSC content.

Social activity

Spotlight

Advertisements