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Population PKPD Mode.. - Pharsight Corporation

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Typical POP PK <strong>Mode</strong>l Development Workflow<br />

Developing the Base PK <strong>Mode</strong>l<br />

Structural <strong>Mode</strong>l<br />

How many compartments<br />

are needed for disposition ?<br />

What input function can<br />

describe the absorption ?<br />

Statistical <strong>Mode</strong>l<br />

Deterministic<br />

Component<br />

⎡θ<br />

⎤<br />

1<br />

Θ=<br />

⎢<br />

θ<br />

⎥<br />

⎢<br />

2 ⎥<br />

⎢θ<br />

⎥<br />

3<br />

⎣<br />

⎦<br />

Disposition function<br />

One-Two-or Three-compartments<br />

Non-linearities, target-mediated…<br />

Input function<br />

What random effects on<br />

parameters are needed or<br />

supported by the data ?<br />

What residual variability<br />

model to use ?<br />

Stochastic<br />

Component<br />

Between subject variability (BSV) matrix<br />

Distributional assumption (Log-normal)<br />

Full Block<br />

Full Diagonal<br />

Reduced<br />

Residual variability model<br />

Additive, proportional, combined<br />

⎡Ω11<br />

Ω=<br />

⎢<br />

⎢<br />

Ω Ω<br />

⎢⎣<br />

0 0<br />

⎡σ<br />

12 22<br />

⎤<br />

11<br />

Σ= ⎢<br />

0 σ ⎥<br />

22<br />

⎣<br />

⎦<br />

⎤<br />

⎥<br />

⎥<br />

Ω ⎥<br />

33 ⎦<br />

slide 29<br />

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