Table 2.
Example of ill-posed deconvolution problem
| Infused LH profile1 | Simulated LH profile2 | Sheep LH profile3 | |||||||
|---|---|---|---|---|---|---|---|---|---|
| A. Starting Estimates | |||||||||
| Burst sd (min)a | 1 | 10 | 30 | 1 | 10 | 30 | 1 | 10 | 30 |
| Half-life (min) | 15 | 50 | 150 | 15 | 50 | 150 | 15 | 50 | 150 |
| Basal secretionb | 0 | 0.01 | 0.1 | 0 | 0.01 | 0.1 | 0 | 0.01 | 0.1 |
| Starting concentration | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| B. Deconvolution results | |||||||||
| Frequency (per session) | 6 | 6 | zero | 16 | 17 | 4 | zero | zero | zero |
| Burst sd (min)a | 2.6 | 2.5 | −9.9 | 0.74 | 1.3 | 0.5 | −0.58 | −100 | 1.2 |
| Half-life (min) | 61 | 49 | 551 | 53 | 50 | 334 | 2.2 | 2.3 | 391 |
| Basal secretionb | 0.03 | 0.05 | 0.009 | 0.02 | 0.02 | 0.003 | 3.0a | 2.8 | 0.02 |
| Mass/burstb | 5.9 | 5.5 | zero | 3.0 | 2.9 | 1.7 | zero | zero | zero |
Analyses used a web-based automated deconvolution (AutoDecon) program downloaded from http://mljohnson.pharm.virginia.edu/downloads.html on 11/07/07. The three 10-min LH profiles are listed in the Appendix (published as supplemental data on The Endocrine Society’s Journals Online web site at http://mend.endojournals.org) as ″Lhinfused,″ ″Lhsimulated,″ and ″Lhsheep.″
1, 2, 3 True pulse numbers were 6, 16, and 7, respectively, based upon specified LH injections, explicit simulations, and portal-venous GnRH pulses.
a
sd of Gaussian burst.
b
Concentration units per minute for basal secretion and concentration units for mass.