  We describe type $II_A$ cosmological brane inflation scenarios based on the
holographic MQCD model of Aharony et al \cite{Aharony:2010mi}. The scenarios
can be related via T-duality to the type $II_B$ KKLMMT model
\cite{Kachru:2003sx}. They describe a probe brane configuration of $p$ D4
branes stretching between an $NS5$ and $NS5'$ branes in the holographic
background of large $N$ D4 branes. The resulting cosmological models have a
Wick-rotated D4-brane metric, with transverse dimensions compactified, and a
spiralling brane with flux $p$. In one model, the background has a small
nonextremality, and the inflaton is provided by the position of a "sliding"
D4-brane, and in the other, the background is supersymmetric, but with a
sliding anti-D4-brane. We obtain good and generic inflationary models, though
several unknowns remain, in particular about subleading corrections. The usual
caveat of volume stabilization generically spoiling slow-roll still applies.
