Use nominal times [Software]

posted by fno Homepage – Belgium, 2014-04-02 19:16 (4050 d 23:51 ago) – Posting: # 12760
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Dear Mittiry,

❝ Could you please clarify how did you calculate the bias for first (<1%) and second (>30%) example?


Assuming a local monoexponential phase around a sample planned at 1 h post-dose (sorry if that was not clearly specified):
C(t+t.dt)) = C(t)*exp(-k.dt)
[t = planned sampling time, dt = relative time deviation, and k = local rate constant = ln(2)/(local half-life)].

In the examples, assuming a true concentration C(t) = 100 at the planned sampling time:

Case 1, half-life = 8 h:
t1/2 = 8 -> k = 0.086643398
dt = -0.1 (sample taken 10% too early) -> C(t+t.dt) = 100.8701984 -> bias = 0.87%

Case 2, half-life = 15 min:
t1/2 = 0.25 -> k = 2.772588722
dt = -0.1 (sample taken 10% too early) -> C(t+t.dt) = 131.9507911 -> bias = 32%
dt = -0.03 (sample taken 3% too early) -> C(t+t.dt) = 108.6734863 -> bias = 8.7%

Kind regards,
Fabrice

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