Re: Assessment of elimination half life of mAb
A simulation like https://www.boomer.org/c/p4/js/w200101/index1.php
For example use Dose = 500, V1 = 25, Vm = 200 and Km = 5, Max X = 148 and
semi-log. Compare with Vm = 160 and Km = 4. Same terminal slope, t(1/2)
approximately 10 hr.
BTW, NCA isn’t very good for non linear PK. Not sure that PopPK helps much. The
low concentration k and this t(1/2) could be estimated from Vm and Km but not
much help at higher concentrations.
Some equations on https://www.boomer.org/c/p4/c21/c2103.php especially 21.3.3,
21.3.4 and 21.3.5.
For a ’simple’ iv bolus simulation you need Dose, V1, Vm, and Km estimates.
Distribution parameters for multi-compartment. Absorption parameters for oral.
David Bourne
PS, I have a vague memory of a patient with phenytoin concentration dropping
from 25 to 24 mg/L over 24 hours. Low concentration t(1/2) might be 12 hr. TDM
anyone ;-)
db
Quoted reply history
> On Apr 29, 2021, at 11:34 AM, Niurys.CS <[email protected]> wrote:
>
> Dear all,
>
> I'm very grateful for these ideas and explanations. Actually, I was worry
> about this topic. Previously, I reported the values of half life by NCA;
> however the clinicians are asking for a half life value estimated by
> population PK.
> Many thanks to you in the name of Cuban team.
> Niurys
>
> El 29/04/2021 12:49, "Bonate, Peter" <[email protected]> escribió:
> All I can say is, Great minds.....
>
> Maybe some of these ideas can help you, Niurys.
>
> pete
>
>
>
> Peter Bonate, PhD
> Executive Director
> Pharmacokinetics, Modeling, and Simulation (PKMS)
> Clinical Pharmacology and Exploratory Development (CPED)
> Astellas
> 1 Astellas Way, N3.158
> Northbrook, IL 60062
> [email protected]
> (224) 619-4901
>
>
> It’s been a while since I’ve had something here, but here is a Dad joke.
>
> Question: Do you know why the math book was sad?
> Answer: Because it had so many problems
>
>
> -----Original Message-----
> From: Leonid Gibiansky <[email protected]>
> Sent: Thursday, April 29, 2021 11:42 AM
> To: Justin Wilkins <[email protected]>; Bill Denney
> <[email protected]>; Bonate, Peter <[email protected]>;
> Niurys.CS <[email protected]>
> Cc: [email protected]
> Subject: Re: [NMusers] Assessment of elimination half life of mAb
>
> still, half-life of the linear part could be helpful in cases when
> non-linearity plays no significant role in elimination, so we tend to present
> it together with the washout time simulations.
>
> Leonid
>
>
>
> On 4/29/2021 12:35 PM, Justin Wilkins wrote:
> > Hi Bill, all,
> >
> > I do much the same thing - when there's nonlinearity happening, I've found
> > it to be effective to plot concentration-time curves by doses and regimens
> > of interest and mark the times at which the (median?) clinically-defined
> > threshold for "washout" has been reached in each case. Of course this
> > starts getting unwieldy when there are lots of doses or regimens. A less
> > attractive way would be to produce a lookup table.
> >
> > Sounds like everyone's thinking along the same lines...
> >
> > Justin
> >
> >
> > -----Original Message-----
> > From: [email protected] <[email protected]> On
> > Behalf Of Bill Denney
> > Sent: Thursday, April 29, 2021 6:17 PM
> > To: Bonate, Peter <[email protected]>; Leonid Gibiansky
> > <[email protected]>; Niurys.CS <[email protected]>
> > Cc: [email protected]
> > Subject: RE: [NMusers] Assessment of elimination half life of mAb
> >
> > Hi Pete,
> >
> > I agree that it is hard to communicate. I like the general idea of C90 you
> > propose. I tend to choose something in between your and Leonid's answer,
> > when possible. I target an answer of "when is the pharmacodynamic effect
> > <5% of the maximum or therapeutic effect". It does require more than just
> > the PK, though. And for the just PK answer, I agree with Leonid and you,
> > targeting some smallish fraction of Cmax is often reasonable for similar
> > communication.
> >
> > What I find clinicians typically try to understand when the drug has washed
> > out. The answer that many have reasonably latched onto is when 5
> > half-lives have passed, the drug is washed out. That suggests that about
> > 3% (2^-5) effect is generally agreed as being washed out.
> >
> > To Niurys's question about a citation for this, I don't have one either.
> > It's just a rule-of-thumb that I have tended to use.
> >
> > Thanks,
> >
> > Bill
> >
> > -----Original Message-----
> > From: [email protected] <[email protected]> On
> > Behalf Of Bonate, Peter
> > Sent: Thursday, April 29, 2021 12:01 PM
> > To: Leonid Gibiansky <[email protected]>; Niurys.CS
> > <[email protected]>
> > Cc: [email protected]
> > Subject: RE: [NMusers] Assessment of elimination half life of mAb
> >
> > I've never really been happy with this. It's an unsatisfactory solution.
> > You have a nonlinear drug. Let's assume you have an approved drug. It's
> > given at some fixed dose. The clinician wants to know what is the drug's
> > half-life so they can washout their patient and start them on some other
> > therapy. We go back to them and say, we can't give you a half-life because
> > it's a nonlinear drug, but once the kinetics become linear the half-life is
> > X hours. That is a terrible answer. Maybe we need to come up with a new
> > term, call it C90, the time it takes for Cmax to decline by 90%. That we
> > can do. We don't even need an analytical solution, we can eyeball it. We
> > could even get fancy and do it in a population model. C90 - the time it
> > takes for Cmax to decline 90% in 90% of patients. Of course, for nonlinear
> > drugs, C90 only holds for that dose. Change in dose results in a new C90.
> > Just a thought.
> >
> > pete
> >
> >
> >
> > Peter Bonate, PhD
> > Executive Director
> > Pharmacokinetics, Modeling, and Simulation (PKMS) Clinical
> > Pharmacology and Exploratory Development (CPED) Astellas
> > 1 Astellas Way, N3.158
> > Northbrook, IL 60062
> > [email protected]
> > (224) 619-4901
> >
> >
> > It’s been a while since I’ve had something here, but here is a Dad joke.
> >
> > Question: Do you know why the math book was sad?
> > Answer: Because it had so many problems
> >
> >
> > -----Original Message-----
> > From: [email protected] <[email protected]> On
> > Behalf Of Leonid Gibiansky
> > Sent: Thursday, April 29, 2021 9:54 AM
> > To: Niurys.CS <[email protected]>
> > Cc: [email protected]
> > Subject: Re: [NMusers] Assessment of elimination half life of mAb
> >
> > I am not aware of any papers specifically addressing the half-live
> > issue, but there are tons of original papers and tutorials on TMDD,
> > just search the web Thanks Leonid
> >
> > On 4/29/2021 9:48 AM, Niurys.CS wrote:
> >> Dear Leonid,
> >>
> >> Many thanks for clearing up my doubt. Can you suggest me any paper to
> >> go into this topic in any depth.
> >> Best,
> >> Niurys
> >>
> >> El 28/04/2021 19:34, "Leonid Gibiansky" <[email protected]
> >> <mailto:[email protected]>> escribió:
> >>
> >> There is no such thing as half-life of elimination for the nonlinear
> >> drug. But one can compute something like half-life:
> >>
> >> 1. Half-life of the linear part (defined by CL, V1, V2, Q): this
> >> defines the half-life at high doses/high concentrations when
> >> nonlinear elimination is saturated.
> >>
> >> 2. Washout time: for the linear drug, 5 half-lives can be used to
> >> define washout time. During this time, concentrations drop
> >> approximately 2^5=32 times. So one can simulate the desired dosing
> >> (single dose or steady state), find the time from Cmax to Cmax/32
> >> and call it washout time (or time to Cmax/64 to be conservative)
> >>
> >> Thanks
> >> Leonid
> >>
> >>
> >> On 4/28/2021 5:17 PM, Niurys.CS wrote:
> >>
> >> Dear all
> >> I need some help to assess the elimination half life of a
> >> monoclonal antibody.
> >> The model that describes the data is a QSS aproximation of TMDD
> >> with Rmax constant. The model includes two binding process of
> >> mAb to its target: in central and peripheral compartments.
> >> Is there any specific equation to calcule lambda z and the
> >> elimination half life for each of the TMDD aproximations?
> >> Thanks
> >> Niurys
> >>
> >