Abstarct: Combining nuclear matter and quark matter in the same calculation on a microscopic level is very challenging,besides the theoretical motivation just discussed, such studies are highly desired in the context of neutron stars, where for instance mass and radius, but also gravitational wave signals from neutron star mergers. Therefore, various studies exist which combine two distinct models, one with nucleons as degrees of freedom, one with quarks as degree of freedom. They are then either glued together at a first-order phase transition, or a smooth interpolation is introduced between the two phases. In either case, these approaches have no predictive power for the nature and the location of the quark-hadron phase transition. Our present approach, baxsed on the gauge/gravity duality, is at best a distorted version of QCD, in some sense similar to an NJL model, which however does have a well-defined concept of baryons in a chirally broken phase and of chirally symmetric quark matter. In this thesis,We study dense nuclear and quark matter within a single microscopic approach, namely the holographic Sakai-Sugimoto model. Nuclear matter is described via instantons in the bulk, and we show that instanton interactions are crucial for a continuous connection of chirally broken and chirally symmetric phases. The continuous path from nuclear to quark matter includes mextastable and unstable stationary points of the potential, while the actual chiral phase transition remains of first order, as in earlier approximations. We show that the model parameters can be chosen to reproduce low-density properties of nuclear matter and observe a non-monotonic behavior of the speed of sound as a function of the baryon chemical potential, as suggested by constraints from QCD and astrophysics. In addition to these results (nuclear and quark continuity As well as the speed of sound ..) was checked for the case that the temperature has a value of non-zero.