N on-invasive methods for the diagnosis of heart diseases are firmly established in the clinical practice of arrhythmologists. One of the new directions of development of radiaology methods is the creation of three-dimensional mathematical models of the heart. The use of personalized mathematical models facilitates the understanding of the electrophysiological mechanisms of arrhythmias, helps in planning and evaluating the results of various treatment methods. The article presents a review of modern Russian and foreign literature on various approaches to creating models of the heart, from the first very simple computer simulations of electrophysiology to modern ones based on magnetic resonance imaging with contrast, reflecting not only the anatomy, but also the structure of the myocardium. This review also discusses the practical application of these technologies to improve the effectiveness of cardiac resynchronization therapy, ablation of ventricular arrhythmias, and assessment of postablational injuries after the intervention. Improving the development of three-dimensional personalized heart models will have an impact on the diagnosis, treatment planning, and prevention of cardiovascular diseases. © 2021 Russian Electronic Journal of Radiology. All rights reserved.