  The paper is devoted to non-Schlesinger isomonodromic deformations for
resonant Fuchsian systems. There are very few explicit examples of such
deformations in the literature. In this paper we construct a new example of the
non-Schlesinger isomonodromic deformation for a resonant Fuchsian system of
order 5 by using middle convolution for a resonant Fuchsian system of order 2.
Moreover, it is known that middle convolution is an operation that preserves
Schlesinger's deformation equations for non-resonant Fuchsian systems. In this
paper we show that Bolibruch's non-Schlesinger deformations of resonant
Fuchsian systems are, in general, not preserved by middle convolution.
