This is a set of support notes for the paper `
`Rescaling
of diffusion coefficients in two-timescale chemical systems'', which
has been submitted for publication in the
Journal
of Chemical Physics. These support notes contain (almost) all the detailed
mathematical derivations of the results presented in that paper. The aim
of the paper is to study the reduced description of reaction-diffusion
systems with two timescales. The paper discusses both a general approach
and its application to the Selkov model (
E. E. Selkov,
European J. Biochem. 4, 79 (1968)) and the ferrocyanide-iodide-sulfite
(FIS) reaction (
E.C. Edblom et al, J. Am.
Chem. Soc. 108, 2826 (1986)). Although these support notes
are pretty self-contained, they should be read together with the paper.