Jet-medium interaction in heavy-ion collisions has been the subject of many studies over years. To explore the phenomenon of jet quenching in detail, model builders have been focusing on the jet-induced medium response with many theoretical approaches. In this short overview, two models are introduced to illustrate the difference in two main theoretical approaches. The important effect related to the medium response have been found for jet energy loss, jet substructure and many other observables in different model calculations.