This paper illustrates how Priestley duality can be used in the transfer of an optimal natural duality from a minimal generating algebra for a quasi-variety to other generating algebras. Detailed calculations are given for the quasi-variety
$\mathbb{I}\mathbb{S}\mathbb{P}(\underset{\raise0.3em\hbox{$\mathbb{I}\mathbb{S}\mathbb{P}(\underset{\raise0.3em\hbox{
of Kleene algebras and the quasi-varieties
BB
n
of pseudocomplemented distributive lattices (
n 
1).
Keywords Natural duality - optimal duality - Priestley duality - endodualisability - endoprimality - entailment - retraction
Special issue of Studia Logica: 
Algebraic Theory of Quasivarieties
Presented by
M. E. Adams, K. V. Adaricheva, W. Dziobiak, and A. V. Kravchenko