In the field of health science, it is important to understand the dynamics of scientific development, as well as the ontological, methodological and epistemological positions that support the results of research in this area, in order to have a more complete vision of the phenomenon under study. The aim of this research is to explain such dynamics. The methodological design used is qualitative and exploratory, employing the hermeneutic method and triangulation. The results show that each geometry explains the development of a complex system, and that the study of the development of Fourier theory and Wavelets theory provides a holistic view in health science. In conclusion, this research approaches scientific dynamics from a systemic perspective and relevant to health science, which could have important implications in the development of new knowledge and applications to meet the needs of society.