The analysis of the angiogenesis in hepatic lesions is an important marker of tumour aggressiveness and response to therapy. However, the quantitative analysis of this fact requires a deep knowledge of the hepatic perfusion. The development of pharmacokinetic models constitutes a very valuable tool, but it is computationally intensive. Moreover, abdominal imaging processing increases the computational requirements since the movement of the patient makes images in a time series incomparable, requiring a previous pre-processing. This work presents a Grid environment developed to deal with the computational demand of pharmacokinetic modelling. This article proposes and implements a four-level software architecture that provides a simple interface to the user and deals transparently with the complexity of Grid environment. The four layers implemented are: Grid Layer (the closest to the Grid infrastructure), the Gate-to- Grid (which transforms the user requests to Grid operations), the Web Services layer (which provides a simple, standard and ubiquitous interface to the user) and the Application Layer. An application has been developed on top of this architecture to manage the execution of multi-parametric groups of co-registration actions on a large set of medical images. The execution has been performed on the EGEE Grid infrastructure. The application is platform-independent and can be used from any computer without special requirements.