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SUBAPICAL L-SYSTEMS

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Author
Prusinkiewicz, Przemyslaw
Kari, Lila
Accessioned
2008-02-26T22:40:58Z
Available
2008-02-26T22:40:58Z
Computerscience
1999-05-27
Issued
1995-03-01
Subject
Computer Science
Type
unknown
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Abstract
This paper characterizes the development of modular branching structures that satisfy three assumptions: (a) subapical branching, meaning that new branches can be created only near the apices of the existing branches, (b) finite number of module types and states, and (c) absence of interactions between coexisting components of the growing structure. These assumptions are captured in the notion of subapical bracketed deterministic L-systems without interactions (sBDOL-systems). We present the biological rationale for sBDOL-systems and prove that it is decidable whether a given BDOL-system is subapical or not. In addition, using the assumption that modules, once created, continue to exist, we show that (propagating) sBDOL-sytems are too weak to generate acrotonic and mesotonic branching structures which are often observed in nature. Their development must therefore be controlled by more involved mechanisms, overriding at least one of the assumptions (a-c) above.
Notes
We are currently acquiring citations for the work deposited into this collection. We recognize the distribution rights of this item may have been assigned to another entity, other than the author(s) of the work.If you can provide the citation for this work or you think you own the distribution rights to this work please contact the Institutional Repository Administrator at digitize@ucalgary.ca
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University of Calgary
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Science
Doi
http://dx.doi.org/10.11575/PRISM/30964
Uri
http://hdl.handle.net/1880/45606
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