Conventional measurements of cerebrovascular reactivity (CVR) are often based on the BOLD changes in response to a ramp CO2 stimulus ranging from hypo- to hypercapnia. Using a simple model of two vascular beds, one with a healthy standard reference resistance, competing for the same limited blood supply, we derive the sigmoidal relative resistance changes in the other branch of the model from measured BOLD responses. Maps displaying the spatial pattern of the relative resistance sigmoid parameters describe the physiology and pathophysiology of the vessels themselves and thus may provide more clinically useful insight.
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