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An algorithm is presented which can be used to “link” two differing computer architectures together in what has become known as System Level Acceleration (SLA). This allows for a substantial increase in the complexity of the problem to be solved and also in the range of scales that often inhibits the scientist/engineer. Two examples of problems able to be solved via SLA, that of coupled cells in an vascular domain and modeling blood auto-regulation in the cerebro-vasculature.