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[(An algorithm for determining values of parameters of the Gompertz growth function)].
Gegenbaurs Morphologisches Jahrbuch
|January 1, 1975
Summary
This study derives differential equations for the Gompertz function, a model for biological growth. It presents numerical methods and ALGOL programs for parameter estimation, improving biological growth modeling reliability.
Area of Science:
- Mathematical Biology
- Biostatistics
Context:
- Biological growth processes are often modeled using the Gompertz function.
- Accurate parameter estimation is crucial for validating these growth models.
Purpose:
- To derive differential equations for the Gompertz function.
- To develop and present numerical procedures and ALGOL programs for nonlinear regression analysis of biological growth data.
- To improve the reliability of growth models through robust parameter estimation.
Summary:
- This paper presents differential equations for which the Gompertz function is a solution, facilitating biological growth analysis.
- It introduces numerical methods, including Internal Least Squares, for estimating Gompertz function parameters.
- Provided ALGOL programs enable iterative adjustment of parameters to measured data, demonstrated with human embryo growth.
Impact:
- Enhances the reliability of biological growth models by providing a verifiable method for parameter estimation.
- Offers practical computational tools (ALGOL programs) for researchers in quantitative biology and biostatistics.
- Improves the accuracy of growth characteristic analysis in biological systems.