Modeling and Visualization of Biological Structures

Rapid progress in the modeling of biological structures and simulation of their development has occurred over the last few years. It has been coupled with the visualization of simulation results, which has lead to a better understanding of morphogenesis and given rise to new procedural techniques for realistic image synthesis. This paper characterizes selected models of morphogenesis with a significant visual component.

[1]  L G Harrison,et al.  Kinetic theory of living pattern. , 1994, Endeavour.

[2]  H. Meinhardt Models of biological pattern formation , 1982 .

[3]  M. E. Gottlieb The VT model: a deterministic model of angiogenesis and biofractals based on physiological rules , 1991, Proceedings of the 1991 IEEE Seventeenth Annual Northeast Bioengineering Conference.

[4]  Tosiyasu L. Kunii,et al.  Botanical Tree Image Generation , 1984, IEEE Computer Graphics and Applications.

[5]  Ricki Blau,et al.  Approximate and probabilistic algorithms for shading and rendering structured particle systems , 1985, SIGGRAPH.

[6]  P. Stevens Patterns in Nature , 1974 .

[7]  N. Rashevsky,et al.  Mathematical biology , 1961, Connecticut medicine.

[8]  H. Honda Description of the form of trees by the parameters of the tree-like body: effects of the branching angle and the branch length on the sample of the tree-like body. , 1971, Journal of theoretical biology.

[9]  A. M. Turing,et al.  The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[10]  A. Lindenmayer,et al.  Developmental models of herbaceous plants , 1990 .

[11]  Przemyslaw Prusinkiewicz,et al.  L-systems: from formalism to programming languages , 1992 .

[12]  Greg Turk,et al.  Generating textures on arbitrary surfaces using reaction-diffusion , 1991, SIGGRAPH.

[13]  Przemyslaw Prusinkiewicz,et al.  Parametric l-systems and their application to the modelling and visualization of plants , 1992 .

[14]  D. A. Young A local activator-inhibitor model of vertebrate skin patterns , 1984 .

[15]  Jakub Wejchert,et al.  Animation aerodynamics , 1991, SIGGRAPH.

[16]  Przemyslaw Prusinkiewicz,et al.  The Algorithmic Beauty of Plants , 1990, The Virtual Laboratory.

[17]  Przemyslaw Prusinkiewicz,et al.  Animation of the development of multicellular structures , 1990 .

[18]  P. Tomlinson,et al.  Tropical Trees and Forests: An Architectural Analysis , 1978 .

[19]  Hans Meinhardt,et al.  Models and Hypotheses , 1976 .

[20]  Przemyslaw Prusinkiewicz,et al.  Modeling seashells , 1992, SIGGRAPH.

[21]  H. Meinhardt,et al.  A model for pattern formation on the shells of molluscs , 1987 .

[22]  Ned Greene,et al.  Voxel space automata: modeling with stochastic growth processes in voxel space , 1989, SIGGRAPH.

[23]  M. Eden A Two-dimensional Growth Process , 1961 .

[24]  Lee A. Segel,et al.  Modeling Dynamic Phenomena in Molecular and Cellular Biology , 1984 .

[25]  T. Vicsek Fractal Growth Phenomena , 1989 .

[26]  L. Sander,et al.  Diffusion-limited aggregation , 1983 .

[27]  Marc Jaeger,et al.  Plant models faithful to botanical structure and development , 1988, SIGGRAPH.

[28]  D'arcy W. Thompson On growth and form i , 1943 .

[29]  A. Lindenmayer Mathematical models for cellular interactions in development. I. Filaments with one-sided inputs. , 1968, Journal of theoretical biology.

[30]  Craig W. Reynolds Flocks, herds, and schools: a distributed behavioral model , 1998 .

[31]  Alvy Ray Smith,et al.  Plants, fractals, and formal languages , 1984, SIGGRAPH.

[32]  Grzegorz Rozenberg,et al.  Parallel Generation of Maps: Developmental Systems for Cell Layers , 1978, Graph-Grammars and Their Application to Computer Science and Biology.

[33]  W. J. Freeman,et al.  Alan Turing: The Chemical Basis of Morphogenesis , 1986 .

[34]  A. Lindenmayer Mathematical models for cellular interactions in development. II. Simple and branching filaments with two-sided inputs. , 1968, Journal of theoretical biology.

[35]  J. Kaandorp Modelling growth forms of sponges with fractal techniques , 1991 .

[36]  Andrew Witkin,et al.  Reaction-diffusion textures , 1991, SIGGRAPH.

[37]  Veva Elwell,et al.  Toxicity and Anti-Inflammatory Activity of Phenolic-Rich Extract from Nopalea cochenillifera (Cactaceae): A Preclinical Study on the Prevention of Inflammatory Bowel Diseases , 2023, Plants.

[38]  Tommaso Toffoli,et al.  Cellular automata machines - a new environment for modeling , 1987, MIT Press series in scientific computation.

[39]  Jules Bloomenthal,et al.  Modeling the mighty maple , 1985, SIGGRAPH.

[40]  H. Swinney,et al.  Transition from a uniform state to hexagonal and striped Turing patterns , 1991, Nature.

[41]  David H. Sharp,et al.  A connectionist model of development. , 1991, Journal of theoretical biology.

[42]  Xavier Gérard Viennot,et al.  Combinatorial analysis of ramified patterns and computer imagery of trees , 1989, SIGGRAPH.

[43]  James Arvo,et al.  Modeling Plants with Environment-Sensitive Automata , 1988 .

[44]  H. Meinhardt Morphogenesis of lines and nets. , 1976, Differentiation; research in biological diversity.

[45]  P. Meakin,et al.  A new model for biological pattern formation. , 1986, Journal of theoretical biology.