Bekenstein bound: flux limit

The Bekenstein bound is thought to limit the
quantity of information in any region of space:

http://en.wikipedia.org/wiki/Bekenstein_bound

Presumably a similar limit exists to the
quantity of information that can flow /through/
a region - in a unit of time.

Trivially, this is limited by the region's
light cone - but there /must/ be more limiting
limits, simply because not everything in the
region's light cone can simultaneously flow
into a region without violating its Bekenstein
bound: there will be "fan in" effects that
prevent this.

Has anyone ever investigated, quantified
or named this fundamental limit?
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