From 6c9ec4f093ecfa48fe3a4a3fa99de16c5676d7dc Mon Sep 17 00:00:00 2001
From: bnewbold <bnewbold@robocracy.org>
Date: Mon, 16 Jan 2017 16:24:09 -0800
Subject: update remaining models

---
 .../von_bertalanffy_organism_growth/model.modelica |  8 ++++++++
 examples/von_bertalanffy_organism_growth/page.md   | 22 ++++++++++++++++++++++
 2 files changed, 30 insertions(+)
 create mode 100644 examples/von_bertalanffy_organism_growth/model.modelica
 create mode 100644 examples/von_bertalanffy_organism_growth/page.md

(limited to 'examples/von_bertalanffy_organism_growth')

diff --git a/examples/von_bertalanffy_organism_growth/model.modelica b/examples/von_bertalanffy_organism_growth/model.modelica
new file mode 100644
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+++ b/examples/von_bertalanffy_organism_growth/model.modelica
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+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
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+
+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
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