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Integrated rate equation for association

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3 months 3 weeks ago #1 by Drug discovery
Integrated rate equation for association was created by Drug discovery
I have been trying to understand how we can get the first order integrated equation from the differential rate equation to no avail

I have attached a screenshot. It be great if someone can show the actual steps to ge to the final integrated equation

 
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    3 months 3 weeks ago #2 by Arnoud
    Replied by Arnoud on topic Integrated rate equation for association
    I don't know much about integrating but in short this is it.



    The [A] in your formule is C since it is constant in flow based systems.

    Arnoud
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    3 months 3 weeks ago #3 by Drug discovery
    Replied by Drug discovery on topic Integrated rate equation for association
    Thank you Arnoud. I got the steps before and after integration but not the actual integration step.

    I was keen to how the variables were separated from the previous step and the subsuequent integration to end up with Ka.C.Rmax / (kaC+Kd)x(1-e*(kaC+Kd)t Just couldn't figure.. yet

    Thank you as always for the quick repsonse and amazing contirbution!!

    cheers

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    2 months 2 weeks ago #4 by thomeseliana
    Replied by thomeseliana on topic Integrated rate equation for association
    When discussing the integrated rate equation for association, it’s essential to understand that it describes the time-dependent formation of a complex between two molecules (like a ligand and a receptor). The equation relates the concentration of the complex to the rate constants for association and dissociation. [Deleted]



    Visit here: [Deleted]

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    2 months 6 days ago #5 by NMCCANN2
    Replied by NMCCANN2 on topic Integrated rate equation for association
    I've tried to go through this derivation myself and it is not straight forward. There is a lot of strange algebraic manipulation to get there. I was only able to solve it by starting with the integrated rate equation and working backwards toward the differential equation.

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    2 months 6 days ago #6 by NMCCANN2
    Replied by NMCCANN2 on topic Integrated rate equation for association
    Here, I drew out the differentiation from the integrated form to the differential form.
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