The Algorithmic Beauty of Sea Shells
By H. Meinhardt. The Virtual Laboratory, 2003
491 citations recorded by the source corpus.
Subfields: Biomedical Engineering, Civil and Structural Engineering
View Paper: https://www.semanticscholar.org/paper/5d7f9b5485ce0c1b660cfb2bee336857dba1f46a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Biomedical Engineering
- Michael Jeffrey Ward
- Michael J. Ward
- Juncheng Wei
- Jean-Louis Deneubourg
- Claire Detrain
- M. Rietkerk
- Jun-cheng Wei
- J. van de Koppel
In Civil and Structural Engineering
- Michael Jeffrey Ward
- Michael J. Ward
- Juncheng Wei
- Jean-Louis Deneubourg
- Claire Detrain
- M. Rietkerk
- Jun-cheng Wei
- J. van de Koppel
Citations in the corpus
- Self-Organized Patchiness and Catastrophic Shifts in Ecosystems (2004, unknown): “These ecosystems represent a class of activator-inhibitor system that has been recognized earlier as ‘‘activator-depleted substrate systems’’ ( 32 ).”
- Existence, Classification and Stability Analysis of Multiple-peaked Solutions for the Gierer-Meinhardt System in R 1 (2007, unknown): “One of the most famous models in biological pattern formation is the Gierer-Meinhardt system [11], [16], [17], which in one dimension can be stated as follows:”
- Self-organized structures in a superorganism: do ants "behave" like molecules? (2006, background): “For example, they account for the segmentation of insect embryos [78] or for the formation of complex pigmented cell patterns such as those observed on shells [88,89], butterfly wings or leopard coats [92,93].”
- Hopf bifurcation of spike solutions for the shadow Gierer–Meinhardt model (2003, methodology): “For the typical exponent sets used previously for the GM model [8, 10, 15, 16], we have verified numerically that our monotonicity assumption is satisfied.”
- Regular pattern formation in real ecosystems. (2008, background): “andcoralreefs involveresourceconcentrationinaso-called activator-depleted substrate system [ 14 ].”
- The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model (2002, methodology): “These patterns have been modeled by various reaction-diffusion systems involving various generalizations of the well-known Gierer-Meinhardt (GM) model [12].”