MODELS FOR THE CONTROL OF BRANCH POSITIONS AND FLOWERING SEQUENCES OF CAPITULA IN <i>MYCELIS MURALIS</i> (L.) DUMONT (COMPOSITAE)

Janssen, Jasmijn; Lindenmayer, Aristid

doi:10.1111/j.1469-8137.1987.tb00859.x

Cited by 32 publications

(25 citation statements)

References 21 publications

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“…In the domain of botanical applications of L-systems, the study Classification of inflorescences has played a particularly visible role [44,45,46,47,77,86]. Unfortunately, the terms used for the various inflorescence types are not uniform in the literature.…”

Section: Models Of Inflorescencesmentioning

confidence: 99%

“…He illustrated this idea by referring to the continuous development of branching structures and diffusion of chemical compounds in a nonbranching filament of Anabaena catenula. Both problems were revisited in later papers [25,77]. A definition of parametric L-systems was formulated by Prusinkiewicz and Hanan [113] and is presented below.…”

Section: Parametric L-systemsmentioning

confidence: 99%

“…servations of the real plant [77]. A diagrammatic developmental sequence of Mycelis muralis simulated using L-system 3.2 is shown in Figure 3.17.…”

Section: Polypodial Inflorescences Paniclementioning

confidence: 99%

“…Both phenomena are in a sense counter-intuitive, since it would seem that the older branches situated near the plant base should start growing and producing flowers before the younger ones at the plant top. To explain these effects, several models were proposed and formally analyzed by Janssen and Lindenmayer [77]. Their model II is restated here as parametric L-system 3.2.…”

Section: Polypodial Inflorescences Paniclementioning

confidence: 99%

See 3 more Smart Citations

The Algorithmic Beauty of Plants

Prusinkiewicz

Lindenmayer²

1990

The Virtual Laboratory

1,947

1,232

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With 150 Illustrations, 48 in ColorThis edition of The Alogirthmic Beauty of Plants is the electronic version of the book that was published by Springer-Verlag, New York, in 1990 and reprinted in 1996. The electronic version has been produced using the original L A T E X files and digital illustrations. Front cover design: The roses in the foreground (Roses by D. R. Fowler, J. Hanan and P. ) were modeled using L-systems. Distributed ray-tracing with one extended light source was used to simulate depth of field. The roses were placed on a background image (photgraphy by G. Rossbach), which was scanned digitally and post-processed. PrefaceThe beauty of plants has attracted the attention of mathematicians for Mathematics and beauty centuries. Conspicuous geometric features such as the bilateral symmetry of leaves, the rotational symmetry of flowers, and the helical arrangements of scales in pine cones have been studied most extensively. This focus is reflected in a quotation from Weyl [159, page 3], "Beauty is bound up with symmetry."This book explores two other factors that organize plant structures and therefore contribute to their beauty. The first is the elegance and relative simplicity of developmental algorithms, that is, the rules which describe plant development in time. The second is self-similarity, characterized by Mandelbrot [95, page 34] as follows:When each piece of a shape is geometrically similar to the whole, both the shape and the cascade that generate it are called self-similar.This corresponds with the biological phenomenon described by Herman, Lindenmayer and Rozenberg [61]:In many growth processes of living organisms, especially of plants, regularly repeated appearances of certain multicellular structures are readily noticeable.... In the case of a compound leaf, for instance, some of the lobes (or leaflets), which are parts of a leaf at an advanced stage, have the same shape as the whole leaf has at an earlier stage.Thus, self-similarity in plants is a result of developmental processes.Growth and form By emphasizing the relationship between growth and form, this book follows a long tradition in biology. D'Arcy Thompson [143] traces its origins to the late seventeenth century, and comments:Organic form itself is found, mathematically speaking, to be a function of time.... We might call the form of an organism an event in space-time, and not merely a configuration in space. This concept is echoed by Hallé, Oldeman and Tomlinson [58]:The idea of the form implicitly contains also the history of such a form. vi PrefaceThe developmental processes are captured using the formalism of L-systems. They were introduced in 1968 by Lindenmayer [82] as a Modeling of plants theoretical framework for studying the development of simple multicellular organisms, and subsequently applied to investigate higher plants and plant organs. After the incorporation of geometric features, plant models expressed using L-systems became detailed enough to allow the use of computer graphics for realistic visualization of p...

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Section: Models Of Inflorescencesmentioning

confidence: 99%

Section: Parametric L-systemsmentioning

confidence: 99%

“…servations of the real plant [77]. A diagrammatic developmental sequence of Mycelis muralis simulated using L-system 3.2 is shown in Figure 3.17.…”

Section: Polypodial Inflorescences Paniclementioning

confidence: 99%

Section: Polypodial Inflorescences Paniclementioning

confidence: 99%

See 2 more Smart Citations

The Algorithmic Beauty of Plants

Prusinkiewicz

Lindenmayer²

1990

The Virtual Laboratory

1,947

1,232

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“…In the context of the original biological applications, developmental computing is the paradigm behind diverse simulation models of plant functioning, which include: growth regulation and long-distance signaling by hormones [9,21]; acquisition, transport and allocation of water, nutrients, and sugars, e.g. [1]; bending of branches due to gravity [2,10,20]; and responses to pathogens or insects [18].…”

Section: Progress Of Ideasmentioning

confidence: 99%

Developmental Computing

Prusinkiewicz

2009

Lecture Notes in Computer Science

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Abstract. Since their inception over forty years ago, L-systems have proven to be a useful conceptual and programming framework for modeling the development of plants at different levels of abstraction and different spatial scales. Formally, L-systems offer a means of defining cell complexes with changing topology and geometry. Associated with these complexes are self-configuring systems of equations that represent functional aspects of the models. The close coupling of topology, geometry and computation constitutes a computing paradigm inspired by nature, termed developmental computing. We analyze distinctive features of this paradigm within and outside the realm of biological models.

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An L‐systems approach to the modelling of fungal growth

Tunbridge

Jones

1995

J. Visual. Comput. Animat.

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A parametric L‐system is developed to model the growth and structure of the fungus Aspergillus nidulans. The model uses biological understanding of the flow of nutrients through the fungus to control the simulation of growth, with L‐systems productions being dependent on the levels of nutrients, stored as parameters, in various parts of the model. This produces a structural model that is consistent with previous observations of the natural fungus. Visual interpretation of the L‐systems string uses a turtle graphics method. When stochastic rules are implemented to model specific features of Aspergillus nidulans, the simulation is convincing both visually and structurally. Other potential applications for the method are suggested.

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MODELS FOR THE CONTROL OF BRANCH POSITIONS AND FLOWERING SEQUENCES OF CAPITULA IN MYCELIS MURALIS (L.) DUMONT (COMPOSITAE)

Cited by 32 publications

References 21 publications

The Algorithmic Beauty of Plants

The Algorithmic Beauty of Plants

Developmental Computing

An L‐systems approach to the modelling of fungal growth

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