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On the other hand, MNDR phenomena resulting from avalanche multiplication, confinement effects and the potential redistribution process are observed under inverted operation mode for both devices.
In keeping with our previous results [36], addition of the complex I inhibitor rotenone to patient cells promptly caused mitochondrial depolarization (Fig. 3A), in contrast to cultures from healthy donors in which mitochondrial membrane potential is maintained by ATP hydrolysis due to the inverted operation of FOF1 ATP synthase.
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A duplicate-invert operation from x, (s, t, p), copies an inverted substring -x t, - x t -1..., - x s of the source string x and pastes it into a target string at position p. Specifically, if x = x1... x m and z = z1... z n, then z ∘ (s, t, p) =.
The cost associated with each duplicate-invert operation is Θ1+ (t - s + 1 Θ2.
The recurrence for also differs in the cost term, where we use the affine cost of the duplicate-invert operation.
In a duplicate-invert operation a substring is copied from x and inverted before being inserted into the target string y.
The analysis is identical to the one in section 3. The fact that we now consider either a duplicate or a duplicate-invert operation does not change the asymptotic running time.
The correctness proof is very similar to that of Theorem 1, only requiring an additional case for handling the case of a duplicate invert operation which is symmetric to the case of regular duplication.
where the compander function is introduced in order to exactly invert the operation of : (20).
In this section we extend the distance measure to include delete operations as well as duplicate and duplicate-invert operations.
The duplication-inversion-deletion distance from a source string x to a target string y is the cost of a minimum sequence of duplicate and duplicate-invert operations from x and deletion operations, in any order, that generates y.
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