Modelling vascular reactivity to investigate the basis of the relationship between cerebral blood volume and flow under CO2 manipulation.

Changes in cerebral blood flow (f) and vascular volume (v) are of major interest in mapping cerebral activity and metabolism, but the relation between them currently lacks a sufficient theoretical basis. To address this we considered three models: a uniform reactive tube model (M1); an extension of M1 that includes passive arterial inflow and venous volume (M2); and a more anatomically plausible model (M3) consisting of 19 compartments representing the whole range of vascular sizes and respective CO2 reactivities, derived from literature data. We find that M2 cannot be described as the simple scaling of a tube law, but any divergence from a linear approximation is negligible within the narrow physiological range encountered experimentally. In order to represent correctly the empirically observed slope of the overall v-f relationship, the reactive bed should constitute about half of the total vascular volume, thus including a significant fraction of capillaries and/or veins. Model M3 demonstrates systematic variation of the slope of the v-f relationship between 0.16 and 1.0, depending on the vascular compartment under consideration. This is further complicated when other experimental approaches such as flow velocity are used as substitute measurements. The effect is particularly large in microvascular compartments, but when averaged with larger vessels the variations in slope are contained within 0.25 to 0.55 under conditions typical for imaging methods. We conclude that the v-f relationship is not a fixed function but that both the shape and slope depend on the composition of the reactive volume and the experimental methods used

Flow-metabolism coupling in human visual, motor, and supplementary motor areas assessed by magnetic resonance imaging.

Combined blood oxygenation level-dependent (BOLD) and arterial spin labeling (ASL) functional MRI (fMRI) was performed for simultaneous investigation of neurovascular coupling in the primary visual cortex (PVC), primary motor cortex (PMC), and supplementary motor area (SMA). The hypercapnia-calibrated method was employed to estimate the fractional change in cerebral metabolic rate of oxygen consumption (CMR(O2)) using both a group-average and a per-subject calibration. The group-averaged calibration showed significantly different CMR(O2)-CBF coupling ratios in the three regions (PVC: 0.34 +/- 0.03; PMC: 0.24 +/- 0.03; and SMA: 0.40 +/- 0.02). Part of this difference emerges from the calculated values of the hypercapnic calibration constant M in each region (M(PVC) = 6.6 +/- 3.4, M(PMC) = 4.3 +/- 3.5, and M(SMA) = 7.2 +/- 4.1), while a relatively minor part comes from the spread and shape of the sensorimotor BOLD-CBF responses. The averages of the per-subject calibrated CMR(O2)-CBF slopes were 0.40 +/- 0.04 (PVC), 0.31 +/- 0.03 (PMC), and 0.44 +/- 0.03 (SMA). These results are 10-30% higher than group-calibrated values, and are potentially more useful for quantifying individual differences in focal functional responses. The group-average calibrated motor coupling value is increased to 0.28 +/- 0.03 when stimulus-correlated increases in end-tidal CO(2) are included. Our results support the existence of regional differences in neurovascular coupling, and argue for the importance of achieving optimal accuracy in hypercapnia calibrations to resolve method-dependent variations in published results