Compartmental Models and Their Application¶
Godfrey, K. (1983). Compartmental Models and Their Application. Academic Press.
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Primes¶
- Identifiability
- Solving the model shows the concentration curve is a sum of two decaying exponentials, \(C(t) = A e^{-\alpha t} + B e^{-\beta t}\), whose four observable parameters \(\{A, B, \alpha, \beta\}\) are fewer than, or related ambiguously to, the underlying rate constants.
This sourceStandard reference showing that a two-compartment model's blood-concentration curve is a sum of exponentials whose observable parameters do not uniquely determine the underlying rate constants — structural non-identifiability and its cures.
- Solving the model shows the concentration curve is a sum of two decaying exponentials, \(C(t) = A e^{-\alpha t} + B e^{-\beta t}\), whose four observable parameters \(\{A, B, \alpha, \beta\}\) are fewer than, or related ambiguously to, the underlying rate constants.
Verification¶
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Registry ID ref:899ca5e87da4 · see in the full table