Results 1 to 2 of 2

Math Help - solving pharmacokinetic equation

  1. #1
    kdt
    kdt is offline
    Newbie
    Joined
    Nov 2010
    Posts
    1

    solving pharmacokinetic equation

    Hi,

    I'm having trouble transforming the following equation to predict ka (absorption rate constant):

    tmax = ln(ka/k)/(ka-k)


    So far I've tried (not sure if correct):

    tmax = ln(ka) -ln(k)/(ka-k)
    tmax(ka -k) -ln(ka) = -ln(k)
    tmax.ka - tmax.k - ln(ka) = -ln(k)
    tmax.ka - ln(ka) = -ln(k)+tmax.k

    Thanks in advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by kdt View Post
    Hi,

    I'm having trouble transforming the following equation to predict ka (absorption rate constant):

    tmax = ln(ka/k)/(ka-k)


    So far I've tried (not sure if correct):

    tmax = ln(ka) -ln(k)/(ka-k)
    tmax(ka -k) -ln(ka) = -ln(k)
    tmax.ka - tmax.k - ln(ka) = -ln(k)
    tmax.ka - ln(ka) = -ln(k)+tmax.k

    Thanks in advance
    You have \displaystyle t_{max} = \frac{\ln(k_a) - \ln(k)}{k_a - k}. This equation cannot be solved for k_a without introducing a special function.

    What you should do is collect data, model the curve from the data and then estimate the value of k_a.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] equation solving
    Posted in the Algebra Forum
    Replies: 2
    Last Post: June 17th 2011, 07:15 AM
  2. [SOLVED] Solving equation for x.
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 12th 2010, 03:00 PM
  3. solving this equation.
    Posted in the Algebra Forum
    Replies: 6
    Last Post: September 9th 2008, 04:41 AM
  4. I need help solving a equation
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: July 12th 2008, 02:34 PM
  5. solving diff equation w/ bournoulli's equation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 14th 2008, 07:06 PM

Search Tags


/mathhelpforum @mathhelpforum