Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type.

Showing results for

- JMP User Community
- :
- Discussions
- :
- Discussions
- :
- solving an integral for pharmacokinetics work

- Subscribe to RSS Feed
- Mark Topic as New
- Mark Topic as Read
- Float this Topic for Current User
- Bookmark
- Subscribe
- Printer Friendly Page

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Permalink
- Email to a Friend
- Report Inappropriate Content

Nov 3, 2016 12:28 AM
(1447 views)

Hi,

Pharmacokinetics: mathematically characterizing how a drug enters and leaves the body

In pharmacokinetics experiments the influence of the stomach is ignored in most data analyses, which is not appropriate. Stomach emptying can be described with the equation (in which t=time):

Plateau×(1-e^(-Ks × t))^ß (Ks=rate, beta =lag phase)

Subsequently, the absorption kinetics of a test component can be described with the equation:

Plateau ×(Ka× (Exp^(-Ke × t)-Exp^(-Ka × t)))/(Ka-Ke) (Ka=absorption rate, Ke=elimination rate, Plateau is cummulative absorption)

Combining both gives:

**∫** Plateau×(1-e^(-Ks × t))^ß * Plateau ×(Ka× (Exp^(-Ke × t)-Exp^(-Ka × t)))/(Ka-Ke)

Does anybody know how to solve such an equation in JMP, or is someone smart enough to integrate them (I am not)? I can only solve it in Excel, but then I don't get statistics.

Happy to include you as a co-author in a publication on the topic if we end with publishable outcomes.

thanks

Theo

4 REPLIES

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Permalink
- Email to a Friend
- Report Inappropriate Content

Nov 3, 2016 6:14 AM
(1439 views)

There are many sirtes on the internet that will solve derivatives and integrals for you. See this link for one of my favorites:

http://www.integral-calculator.com/

Steve

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Permalink
- Email to a Friend
- Report Inappropriate Content

Nov 3, 2016 8:27 AM
(1435 views)

Hi Steven,

Thanks for pointing this out to me; learning every day. I have tried the link you supplied, and this site can't find an answer, same answer I got from a couple of professors in mathematics.

Theo

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Permalink
- Email to a Friend
- Report Inappropriate Content

Nov 3, 2016 8:43 AM
(1430 views)

came across the wolfram site, and this one did yield an integral. Something to try tonight ;-)

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Permalink
- Email to a Friend
- Report Inappropriate Content

Nov 3, 2016 8:40 AM
(1431 views)