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| -rw-r--r-- | examples/von_bertalanffy_organism_growth/model.modelica | 8 | ||||
| -rw-r--r-- | examples/von_bertalanffy_organism_growth/page.md | 22 |
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diff --git a/examples/von_bertalanffy_organism_growth/model.modelica b/examples/von_bertalanffy_organism_growth/model.modelica new file mode 100644 index 0000000..afc6f7f --- /dev/null +++ b/examples/von_bertalanffy_organism_growth/model.modelica @@ -0,0 +1,8 @@ +model VonBertalanffyGrowth + "Rate-of-growth model for biological organisms" + parameter Real K "growth rate"; + parameter Real L "asymptotic final length (L infinity)"; + Real l "length"; +equation + der(l) = K * (L - l); +end VonBertalanffyGrowth; diff --git a/examples/von_bertalanffy_organism_growth/page.md b/examples/von_bertalanffy_organism_growth/page.md new file mode 100644 index 0000000..79a643f --- /dev/null +++ b/examples/von_bertalanffy_organism_growth/page.md @@ -0,0 +1,22 @@ + +The Bertalanffy equation is an equation that describes the rate of growth of a +biological organism. The equation was offered by Ludwig von Bertalanffy in 1969. + +## Solution + +Integrating the equation gives: + + $$ l = L \(1 - e^{-Kt}\) $$ + +## References + +The body of this page comes from Wikipedia. + +* Wikipedia: + [Bertalanffy equation](https://en.wikipedia.org/wiki/Ludwig_von_Bertalanffy#Bertalanffy_equation) +* [The von Bertalanffy growth equation](http://www.pisces-conservation.com/growthhelp/index.html?von_bertalanffy.htm) + +### Papers + +Bertalanffy, L. von, (1969). *General System Theory*. New York: George +Braziller, pp. 136 |