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MCS
2011
Springer

The geometry and dynamics of binary trees

8 years 3 months ago
The geometry and dynamics of binary trees
: The modeling of a fully populated 3D tree able to regulate dynamically remains a relatively unexplored field. A non-dimensional representation of “autoregulation” coupled with an asymmetric binary tree algorithm has been developed. The tree has a defined topology as well as a spatial representation in 3D. An analysis using a simple linearization shows the systems dynamics when perturbed away from equilibrium. Results, based on previously published work by Karch and Schreiner are presented for a variety of parameters which provide different shapes of the tree and indicate a possible mechanism for “growing” the tree in specified directions. In addition the tree, through the use of local tagging has the ability to vary it’s size locally via a coupled set of conservation and reverting differential equations.
T. David, Thomas van Kempen, Huaxiong Huang, Phill
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where MCS
Authors T. David, Thomas van Kempen, Huaxiong Huang, Phillip Wilson
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