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This negative sloping Janoschek-Growth-Curve is simply a modification of the positive version. For more detail see JanoschekPositive.
The function is given by the following equation:
Where l is the lower bound, β is the upper bound, and δ is a parameter that determines the rate of growth (e.g., steepness of the curve). Given the point of inflection (x_ref,y_ref) the parameter k can be obtained in closed form, which is made use of in this implementation.
The following animation shows a growth curve with the following parameters:
| Parameter | Value |
|---|---|
upperBound |
2 |
lowerBound |
0.1 |
(x_ref, y_ref) |
(1,1) |
growthRate |
1, ... ,10 |
lowerBound must be smaller than the upperBound. Also y_ref needs to be in the range [lowerBound, upperBound], while x_ref has to be a positive number larger than zero.strict = true) the component will not generate events.x_ref to InputType in v2.2.