Holographic kinetic k-essence model
  We consider a connection between the holographic dark energy density and the kinetic k-essence energy density in a flat FRW universe. With the choice $c\geq1$, the holographic dark energy can be described by a kinetic k-essence scalar field in a certain way. In this paper we show this kinetic k-essential description of the holographic dark energy with $c\geq1$ and reconstruct the kinetic k-essence function F(X). 
Norman Cruz, Pedro F. Gonzalez-Diaz, Alberto Rozas-Fernandez and   Guillermo Sanchez