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A key part of the model then is the outflow from this vascular compartment which is a function of the compartmental volume. The precise form of this blood volume function governs the haemodynamics generated, and in the original exposition of this work Buxton and his colleagues show a number of different examples of this dependency. Generally the model is an appropriate balance between simplicity of representation and explanatory physiological power. It captures many of the well known aspects of the HRF as measured during fMRI such as transient changes in deoxyhaemoglobin and oxy-haemoglobin concentrations as well as the initial dip and other peculiarities of the BOLD response as measured experimentally.

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The ACA and MCA form the anterior circulation which supplies the forebrain. The vertebral arteries consist of a right and left branch which come together to form the Basilar artery at the level of the pons. This artery then joins up with the internal carotid arteries to form an arterial ring at the base of the brain called the Circle of Willis. E. Ward Fig. 1 (a) Major vessels of the cerebral circulation and (b) associated vascular territories The posterior cerebral arteries and two other small arteries called the anterior and posterior communicating arteries also arise at this juncture.

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