RE: How to model observed quantity tha is an average over compartments

From: Dieter Menne Date: July 30, 2010 technical Source: mail-archive.com
Thanks, both to Tarjinder and Doug. The identifiability is a well known problem with (single fit) data of that sort, and is mostly solved by making an extreme assumption for one of the coeffs. We hope that the population fit can tweak additional information from the very rich data (some 100 per set, but this needs long time). As a first step, assuming that T2 is the only observed quantity gives an excellent fit, so the mix-in is probably low. Dieter ---- From: [email protected] [mailto:[email protected]] On Behalf Of Eleveld, DJ .. If you only observe the average of two quantities you can never estimate the individual contributions. You must have some additional information to be able to do this. Maybe if the time constants are apriori known to be very different, i.e. fast and slow, then it might be possible but you would need very rich data. Multiple fast and slow changes in concentration. As far as $ERROR is concerned it is quite easy to setup when you use A() $ERROR .... CT1=A(1)/V1 ;conc in tissue 1 CT2=A(2)/V2 ;conc in tissue 2 COBS=(CT1+CT2)/2 ;average in tissues Y=COBS*(1+ERR(1)) ;Just guessing proportional error ... Hope this helps, Doug Eleveld
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-----Original Message----- From: [email protected] on behalf of Dieter Menne Sent: Thu 7/29/2010 5:49 PM To: [email protected] Subject: [NMusers] How to model observed quantity tha is an average over compartments Dear Nmusers, we have rich concentration data from tissues measured with MRI techniques. >From other results, we know that the following model is a good approximation of biology | C <> T1 <> T2 | However, we cannot observe T1 and T2 directly, since these are mixed on cellular level and our resolution in mm-range. We only see the tissue-average of T1 and T2. I assume that I have to tweak $ERROR to model the averaging. Could someone point me to a similar example? I could not find an example on the list that has a CMT in $ERROR. Dieter Menne
Jul 29, 2010 Dieter Menne How to model observed quantity tha is an average over compartments
Jul 29, 2010 Doug J. Eleveld RE: How to model observed quantity tha is an average over compartments
Jul 30, 2010 Dieter Menne RE: How to model observed quantity tha is an average over compartments
Jul 30, 2010 Doug J. Eleveld RE: How to model observed quantity tha is an average over compartments