With the relentless increase of computer power and the widespread availability of digital patient-specific medical data, we are now entering an era when it is becoming possible to develop predictive models of human disease and pathology, which can be used to support and enhance clinical decision-making. The approach amounts to a grand challenge to computational science insofar as we need to be able to provide seamless yet secure access to large scale heterogeneous personal healthcare data in a facile way, typically integrated into complex workflows—some parts of which may need to be run on high performance computers—in a facile way that is integrated into clinical decision support software. In this paper, we review the state of the art in terms of case studies drawn from neurovascular pathologies and HIV/AIDS. These studies are representative of a large number of projects currently being performed within the Virtual Physiological Human initiative. They make demands of information technology at many scales, from the desktop to national and international infrastructures for data storage and processing, linked by high performance networks.