  This work investigates static and dynamical quark star properties within a
$D_3-D_7$ holographic model. We solve the Tolman-Oppenheimer-Volkoff equations
for the quark matter equation of state obtained from the brane configuration.
We determine the mass-radius diagram for a range of model parameters and
compare with recent NICER observational data for the pulsars PSR J$0030+0451$
and PSR J$0740+6620$. Motivated by the GW170817 event detected by the
LIGO-Virgo collaboration, we also calculate the tidal deformability parameter
obtained for each component of the binary star system. We show that quark stars
composed of flavor-independent quark matter derived from the $D_3-D_7$
holographic model are not able to satisfy simultaneously the LIGO-Virgo and
NICER astrophysical bounds.
