Publication date: 11/29/2021

Table 14.1 provides the formulas for the models on the Fit Curve red triangle menu.

Model |
Formula |
---|---|

Polynomials |
where k is the order of the polynomial. These models can also be fit using the Fit Model and Fit Y by X platforms. |

Logistic 2P |
a = Growth Rate b = Inflection Point Available only when all response values are between zero and one. |

Logistic 3P |
a = Growth Rate b = Inflection Point c = Asymptote |

Logistic 4P |
a = Growth Rate b = Inflection Point c = Lower Asymptote d = Upper Asymptote |

Logistic 4P Rodbard |
a = Growth Rate b = Inflection Point c = Lower Asymptote d = Upper Asymptote Available only when the regressor values are positive. |

Logistic 4P Hill |
a = Growth Rate b = Inflection Point c = Lower Asymptote d = Upper Asymptote |

Logistic 5P |
a = Growth Rate b = Inflection Point c = Asymptote 1 d = Asymptote 2 f = Power |

Probit 2P |
a = Growth Rate b = Inflection Point Φ = Normal Distribution CDF Available only when all response values are between zero and one. |

Probit 4P |
a = Growth Rate b = Inflection Point c = Asymptote 1 d = Asymptote 2 Φ = Normal Distribution CDF |

Gompertz 3P |
a = Asymptote b = Growth Rate c = Inflection Point |

Gompertz 4P |
a = Lower Asymptote b = Upper Asymptote c = Growth Rate d = Inflection Point |

Weibull Growth |
a = Upper Asymptote b = Growth Rate c = Inflection Point Available only when both the response values and regressor values are non-negative. |

Exponential 2P |
a = Scale b = Growth Rate |

Exponential 3P |
a = Asymptote b = Scale c = Growth Rate |

Biexponential 4P |
a = Scale 1 b = Decay Rate 1 c = Scale 2 d = Decay Rate 2 Available only when the response values are positive. |

Biexponential 5P |
a = Asymptote b = Scale 1 c = Decay Rate 1 d = Scale 2 f = Decay Rate 2 |

Mechanistic Growth |
a = Asymptote b = Scale c = Growth Rate |

Cell Growth 4P |
a = Peak value if mortality rate, d, is zero b = Response at time zero c = Cell Division Rate d = Cell Mortality Rate Available only when the response values are positive and the regressor values are non-negative. |

Gaussian Peak |
a = Peak Value b = Critical Point c = Growth Rate |

Lorentzian Peak |
a = Peak Value b = Growth Rate c = Critical Point |

One Compartment Oral Dose |
a = Area Under Curve b = Elimination Rate c = Absorption Rate Available only when the response values and the regressor values are all positive. |

Two Compartment IV Bolus Dose |
α = β = a = Initial Concentration b = Transfer Rate In c = Transfer Rate Out d = Elimination Rate Available only when the response values and the regressor values are all positive. |

Michaelis-Menten |
a = Max Reaction Rate b = Inverse Affinity Available only when the response values and the regressor values are all positive. |

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