Related Experiment Video
Updated: Aug 14, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Understanding supported reactions in spherical compartments: a general algorithm to model and determine rate
Hans-Joachim Egelhaaf1, Jörg Rademann
1Medicinal Chemistry, Leibniz Institute for Molecular Pharmacology (FMP), Berlin, Germany.
Abstract:
A general algorithm allowing the numerical modeling of the time and space dependence of product formation in spherical reaction volumes is described. The algorithm is described by the complete set of mass balance equations. On the basis of these equations, the effects of the diffusion coefficient, reaction rate, bead size, reagent excess, and packing density of the resin beads on the overall reaction rates are determined for second-order reactions. Experimental data of reaction progress are employed to calculate reaction rates and diffusion coefficients in polymer-supported reactions. In addition, the conditions for shell-like product formation are determined, and various strategies for the radial patterning of resin beads are compared. The effect of diffusion on polymer-supported enzyme-catalyzed reactions of the Michaelis-Menten type is treated, as well. Finally, the effects of typical nonideal solid-phase phenomena, namely, the inhomogeneity of rate constants and the concentration dependence of diffusion coefficients, on overall rates are discussed.
Related Concept Videos
Measuring Reaction Rates
Reaction Mechanisms: Rate-limiting Step Approximation
Reaction Mechanisms: The Steady-State Approximation
Reaction Rate
The mathematical representation of the change in the concentration of reactants and products, over time, is the rate...
The Integrated Rate Law: The Dependence of Concentration on Time
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

