Measurement-based quantum computation (MBQC) is a paradigm for quantum computation driven by local measurements on an entangled resource state.In this work, it is shown that MBQC is related to a model of quantum computation called Clifford quantum cellular automata (CQCA).Certain MBQCs can be constructed directly from CQCAs, providing a simple and intuitive circuit model representation of MBQC based on CQCA.MBQC-based Ansätze for parameterized quantum circuits are constructed, which can have significantly different performances on various learning tasks.