Abstract: Systems, methods and apparatus are included that are configured to model microvascular obstruction (MVO) in patients. According to one aspect of the present disclosure, a multi-scale model is configured to mimic myocardial microcirculation of coronary vessels. The model includes collaterals configured to provide alternative pathways possibly bypassing the MVO, and configured to model coronary artery compliance for spatially resolved fluid transport through the coronary vessels. The model is configured to simulate the MVO by increasing flow resistance in at least one of the modelled coronary vessels, or by blocking the at least one of the modelled coronary vessels completely. The model is also configured to mimic behavior of fluid transport in the coronary vessels during diagnostics or treatment, to design and optimize therapy protocols for the MVO.