The brain needs continuous, locally matched perfusion within a nearly rigid skull. Its arterial connections, venous drainage, fluid compartments and vascular regulation meet different parts of that requirement. No single arrangement guarantees an unchanging intracranial blood volume or an uninterrupted supply under every condition.
There are two principal arterial approaches: the paired internal carotid arteries and the vertebral arteries, the latter joining as the basilar artery. At the base of the brain, the cerebral arterial circle connects the anterior and posterior supplies through communicating arteries. Connections between superficial cerebral arterial territories provide additional collateral routes. This permits redistribution if one route becomes inadequate, but individual anatomy varies, and some deep penetrating arteries have limited effective collateral supply. The existence of an anatomical circle therefore does not establish that any one artery can be obstructed harmlessly.[ref]
The bends of the entering arteries and their branching course accompany a distributed vascular resistance and compliance. They should not be described as mechanically abolishing every pulse: cerebral blood flow remains pulsatile. Numerous small branches spread the supply over the surface before penetrating the tissue, while dense capillary networks bring exchange close to neurons and supporting cells.
Superficial and deep cerebral veins drain into dural venous sinuses. These are channels supported by folds and attachments of dura mater, rather than freely collapsible thin-walled veins. Their connections lead chiefly towards the internal jugular veins, with communicating vertebral, diploic and emissary routes providing additional possibilities. The valveless nature of many of these communications allows pressure-dependent changes of direction; it is not an assurance of one-way flow. Head position, neck pressure and the available alternative routes consequently matter to drainage.
The brain, blood and cerebrospinal fluid share the cranial enclosure. A small increase in one component can initially be accommodated by displacement of venous blood and cerebrospinal fluid, including fluid movement towards the spinal compartment. This reserve is finite. When compensation is exhausted, further volume increase can produce a large rise of intracranial pressure and reduce cerebral perfusion pressure. The skull does not make cerebral anaemia physically impossible, as an overly literal historical constant-volume argument might suggest.
A simplified pressure relation, useful in the modern account, is
where CPP is cerebral perfusion pressure, MAP is mean arterial pressure and ICP is intracranial pressure. The approximation assumes that the effective downstream pressure is represented adequately by ICP; high venous pressure can complicate it. Cerebral autoregulation adjusts arteriolar tone and hence resistance when perfusion pressure changes. It has limited capacity and depends on physiological state, so a fixed universal pressure interval should not be inferred.[ref]
Local metabolic regulation and neurovascular coupling also match supply to activity. A rise of arterial carbon dioxide tends to dilate cerebral vessels; vigorous overbreathing can lower arterial carbon dioxide and reduce cerebral blood flow. This is distinct from pressure-driven autoregulation. The blood-brain barrier, based principally on specialized capillary endothelium with tight junctions, helps stabilize the chemical environment while permitting regulated exchanges. It is a selective exchange arrangement, not the structure that supports the dural sinuses or generates the arterial pressure. These modern mechanisms refine the anatomical account without attributing all their molecular details to 1865.

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