  The in-medium properties of open strange ($K$, $\bar{K}$), open charm ($D$,
$\bar{D}$), and open bottom ($B$, $\bar{B}$) mesons are investigated in
asymmetric nuclear matter using Quark Meson Coupling (QMC) model. A direct
coupling of scalar ($\sigma$, $\delta$) and vector ($\omega$, $\rho$) mesons to
the light quarks and anti-quarks of these mesons give rise to the in-medium
modification of the properties of the corresponding meson within the model. The
inclusion of the $\delta$ (scalar iso-vector) meson breaks the isospin symmetry
for the masses of the light quark and antiquark doublets, causing mass
splitting between ($u,\;d$) as well as ($\bar{d},\;\bar{u}$). Consequently, the
considered mesons exhibit mass splittings within the isodoublets of $K$,
$\bar{K}$, $D$, $\bar{D}$, $B$ and $\bar{B}$ mesons when embedded in asymmetric
nuclear matter. In the current study, the interactions of the pseudoscalar
meson with the scalar, as well as vector mesons, are considered, which lead to
significant medium modifications of the excitation energies of the open strange
(charm and bottom) mesons. In asymmetric nuclear matter, due to the interaction
of the pseudoscalar meson with the vector iso-vector $\rho$ meson, there is a
splitting in the excitation energies of the mesons within the isospin doublets.
The isospin effects are seen to be large for high baryon densities. This study
can have significant observable consequences, such as in the production ratios,
e.g., $K^+/K^0$, $K^-/\bar {K^0}$, $D^+/D^0$, $D^-/\bar{D}^0$, $B^+/B^0$ and
$B^-/\bar{B}^0$ in the upcoming heavy ion collision experiments at FAIR project
at GSI, where the experiments are planned to be performed using neutron-rich
beams to study the compressed baryonic matter.
