The neural origins of shell structure and pattern in aquatic mollusks

Proceedings of the National Academy of Sciences of the United States of America

Volumn 106, Issue 16, 2009, Pages 6837-6842

  Boettiger, Alistair ^a   Ermentrout, Bard ^b   Oster, George ^a  

^a University of California Berkeley   (United States)

^b UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

Bifurcation; Mathematical model; Neurosecretory

Indexed keywords

ACCURACY; AQUATIC SPECIES; ARTICLE; CONTROLLED STUDY; MOLECULAR MODEL; MOLLUSC; NERVE CELL; NEUROSECRETION; NONHUMAN; PIGMENTATION; PREDICTION; PRIORITY JOURNAL; STRUCTURE ANALYSIS; ANIMAL; ANIMAL ANATOMY; BIOLOGICAL MODEL; ENVIRONMENT; EVOLUTION; GROWTH, DEVELOPMENT AND AGING; HISTOLOGY; NERVOUS SYSTEM; TIME; ULTRASTRUCTURE;

MOLLUSCA;

WATER;

ANIMAL STRUCTURES; ANIMALS; ENVIRONMENT; EVOLUTION; MODELS, NEUROLOGICAL; MOLLUSCA; NERVOUS SYSTEM; NEUROSECRETORY SYSTEMS; PIGMENTATION; TIME FACTORS; WATER;

EID: 66149136486     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.0810311106     Document Type: Article

References (52)

1. Saleuddin ASM, Dillaman RM (1976) Direct innervation of the mantle edge gland by neurosecretory axons in helisoma duryi (Mollusca: Pulmonata). Cell Tissue Res 171:397-401.
2. Saleuddin A, Kunigelis S, Khan H, Jones G (1980) Possible control mechanisms in mineralization in Helisoma duryi (mollusca: pulmonata). The Mechanisms of Biomin-eralization in Animals and Plants eds Omori M, Watabe N (Tokai Univ Press, Tokyo).
3. Checa AG, Okamoto T, Ramírez J (2006) Organization pattern of nacre in Pteriidae (Bivalvia: Mollusca) explained by crystal competition. Proc R Soc London Ser B 273:1329-1337.
4. Saleuddin ASM (1979) Pathways in Malacology (Junk, The Hague), pp 47-81.
5. Taylor JD, Kennedy WJ (1969) The influence of the periostracum on the shell structure of bivalve molluscs. Calcif Tissue Int 3:274-283.
6. Dillaman RM, Saleuddin ASM, Jones GM (1976) Neurosecretion and shell regeneration in Helisoma duryi . Can J Zool 54:1771-1778.
7. Saleuddin ASM, Kunigelis SC (1984) Neuroendocrine control mechanisms in shell formation. Am Zool 24:911-916.
8. Saleuddin A (1974) An electron microscopic study of the formation and structure of the periostracum in Astarte (Bivalvia). Can J Zool 52:1463-1471.
9. Westermann B, Beurelein K, Hempelmann G, Shipp R (2002) Localization of putative neurotransmitters in the mantle and siphuncle of the mollusc Nautilus pompilius . Histochem J 34:435-440.
10. Westermann B, Schmidtberg H, Beurelein K (2005) Mantle organization of Nautilus pompilius . J Morphol 264:277-285.
11. Dogterom AA, van Loenhout H, van der Schors RC (1979) The effects of growth hormone of Lymnaea stagnalis on shell calcification. Gen Comp Endocrinol 39:63-68.
12. Wilbur K, Saleuddin ASM (1983) The Mollusca (Academic, New York).
13. Thompson DW (1952) On Growth and Form (Cambridge Univ Press, Cambridge, UK).
14. Raup D (1961) The geometry of coiling in gastropods. Proc Nat Acad Sci USA 47:602-629.
15. Raup D (1962) Computer as aid in describing form in gastropod shells. Science 138:150-152.
16. Raup D (1965) Theoretical morphology of the coiled shell. Science 147:1294-1295.
17. Raup D (1966) Geometric analysis of shell coiling: General problems. J Paleontol 40:1178-1190.
18. Raup DM (1969) Modeling and simulation of morphology by computer. Proc N Am Paleontol Conv B 71-83.
19. Rice S (1998) The bio-geometry of mollusc shells. Paleobiology 24:133-149.
20. Hammer O, Bucher H (2005) Models for the morphogenesis of the molluscan shell. Lethaia 38:111-122.
21. Ubukata T (2005) Theoretical morphology of bivalve shell sculptures. Paleobiology 31:643-655.
22. Waddington CH, Cowe J (1969) Computer simulations of a molluscan pigmentation pattern. J Theor Biol 25:219-225.
23. Kusch I, Markus M (1996) Mollusc shell pigmentation: Cellular automaton simulations and evidence for undecidability. J Theor Biol 178:333-340.
24. Wolfram S (1984) Cellular automata as models of complexity. Nature 311:419-424.
25. Meinhardt H (1984) Models for positional signalling, the threefold subdivision of segments and the pigmentation pattern of molluscs. J Embryol Exp Morphol 83(Suppl):289-311.
26. Meinhardt H, Klingler M (1986) Pattern formation by coupled oscillations: The pigmentation patterns on the shells of molluscs. Lecture Notes in Biomathematics (Springer, Berlin), Vol 7.
27. Meinhardt H, Klingler M (1987) A model for pattern formation on shells of molluscs. J Theor Biol 126:63-89.
28. Meinhardt H, Prusinkiewicz P, Fowler D (2003) The Algorithmic Beauty of Sea Shells (Springer, New York), 3rd Ed.
29. Fowler DR, Meinhardt H, Prusinkiewicz P (1992) Modeling seashells. Comput Graphics 26:379-387.
30. Murray JD (2003) Mathematical Biology (Springer, New York), 3rd Ed, pp 638-655.
31. Mach E (1865) On the effect of the spatial distribution of light stimulus on the retina, I. Sitzungsber Math Nat Klasse Kaiserl Akad Wiss 52:303-332.
32. Turing A (1952) The chemical basis of morphogenesis. Philos Trans R Soc Ser B 237:37-72.
33. Gierer A, Meinhardt H (1972) A theory of biological pattern formation. Kybernetik 12:30-39.
34. Meinhardt H (1982) Models of Biological Pattern Formation (Academic, New York).
35. Meinhardt H, Gierer A (2000) Pattern formation by local self-activation and lateral inhibition. BioEssays 22:753-760.
36. Winfree A (2001) The Geometry of Biological Time (Springer, Berlin), 2nd Ed.
37. Amari S-I (1977) Dynamics of pattern formation in lateral-inhibition type neural field. Biol Cybern 27:77-87.
38. Ellias S, Grossberg S (1975) Pattern formation, contrast control, and oscillations in the short term memory of shunting on-center off-surround networks. Biol Cybern 20:69-98.
39. Wilson H, Cowan J (1973) A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 13:55-80.
40. Berard H, Bourget E, Frechette M (1992) Mollusk shell growth: External microgrowth ridge formation is uncoupled to environmental factors in Mytilus edulis . Can J Fish Aquat Sci 49:1163-1170.
41. Bauchau V (2001) Developmental stability as the primary function of the pigmentation patterns in bivalve shells? Belg J Zool 131(Suppl 2):23-28.
42. Lutz RA, Rhoads DC (1980) Skeletal growth of aquatic organisms; Biological records of environmental changes (Plenum, New York), pp 203-254.
43. Dayan P, Abbott LF (2001) Theoretical neuroscience: Computational and mathematical modeling of neural systems (MIT Press, Cambridge, MA), pp 62.
44. Cowan JD (1968) Neural Networks (Springer, Berlin), pp 181-188.
45. Ermentrout B (1998) Neural networks as spatio-temporal pattern-forming systems. Rep Prog Phys 61:353-430.
46. Checa A (2002) Fabricational morphology of oblique ribs in bivalves. J Morphol 254:195-209.
47. Oster G (1988) Lateral inhibition models of developmental processes. Math Biosci 90:265-286.
48. Xu W, Huang X, Takagaki K, Wu J-Y (2007) Compression and reflection of visually evoked cortical waves. Neuron 55:119-129.
49. Knill DC, Pouget A (2004) The Bayesian brain: The role of uncertainty in neural coding and computation. Trends Neurosci 27:712-719.
50. Doya K, Ishii S, Pouget A, Rajesh PNR, eds (2007) The Bayesian Brain: Probabilistic Approaches to Neural Coding (MIT Press, Cambridge, MA).
51. Huang G (2008) Is this a unified theory of the brain? New Sci 2658:30-33.
52. Oliver APH, Nicholls J (1975) The Larousse Guide to Shells of the World (Larousse, New York).