oozing from pores or breaks in cell membranes.

Merriam-Webster Online Dictionary
exudation (noun)
the process of - exuding
- exudate
exudation (Wikipedia)
Exudate from a wound on a human finger.

An exudate is a fluid emitted by an organism through pores or a wound, a process known as exuding or exudation.Exudate is derived from exude, "to ooze", from the Latin exsūdāre, "to (ooze out) sweat" (ex- "out" and sūdāre "to sweat").

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