  Suppose $T$ is totally transcendental and every minimal non-locally-modular
type is nonorthogonal to a nonisolated minimal type over the empty set. It is
shown that a finite rank type $p=tp(a/A)$ is isolated if and only if $a$ is
independent from $q(\mathcal U)$ over $Ab$ for every $b\in
\operatorname{acl}(Aa)$ and $q\in S(Ab)$ nonisolated and minimal. This applies
to the theory of differentially closed fields -- where it is motivated by the
differential Dixmier-Moeglin equivalence problem -- and the theory of compact
complex manifolds.
