GompertzCurve Class

public class GompertzCurve : NonlinearCurve

Public Class GompertzCurve
	Inherits NonlinearCurve

public ref class GompertzCurve : public NonlinearCurve

type GompertzCurve = 
    class
        inherit NonlinearCurve
    end

Inheritance

Object  →  Curve  →  NonlinearCurve  →  GompertzCurve

Use the GompertzCurve class to represent a four-parameter Gompertz curve commonly used to model growth processes, particularly where the growth rate decreases exponentially over time.

The Gompertz curve is named after Benjamin Gompertz who proposed it in 1825 for modeling human mortality. It has since found applications in modeling tumor growth, population dynamics, and epidemic spread. Unlike the logistic curve, the Gompertz curve is asymmetric, with the point of inflection occurring at approximately 37% of the maximum value rather than 50%.

The equation is:

Parameters:

• A – Asymptotic amplitude (maximum value minus baseline). See Amplitude.
• b – Displacement along the x-axis. See Displacement.
• c – Growth rate (controls the steepness). See GrowthRate.
• C – Baseline offset (lower asymptote). See Offset.

Applications:

• Tumor growth modeling
• Population growth with saturation
• Epidemic modeling
• Cell culture growth
• Market saturation curves
• Mortality modeling

For details on how to fit a curve of this type, see the NonlinearCurveFitter class.

Reference