This paper deals with the quantification of myocardial perfusion using the Fermi deconvolution method. The main goal of this work is to implement and compare the Fermi deconvolution method and the exponential-based deconvolution method in terms of their capability to fit the measured perfusion curve. The comparison is performed using gold-standard synthetic data with different levels of noise. The theoretical summary of both deconvolution techniques is introduced to the reader, as well as the synthetic data construction with Rician noise correction. The comparative analysis provides valuable insights into the robustness and accuracy of these deconvolution methods for myocardial perfusion quantification depending on the level of noise in the input data.