Simulated morphogenesis of developmental folds due to proliferative pressure

Journal of Theoretical Biology

Volumn 242, Issue 3, 2006, Pages 764-773

  Shinbrot, Troy ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Cerebellum; Development; Morphogenesis; Simulation

Indexed keywords

DEVELOPMENTAL BIOLOGY; MORPHOGENESIS; SIMULATION;

ARTICLE; BRAIN DEVELOPMENT; CELL DIFFERENTIATION; CELL MATURATION; CELL MIGRATION; CEREBELLUM; HUMAN; MORPHOGENESIS; PRIORITY JOURNAL; STEM CELL;

ANIMALS; BODY PATTERNING; CELL DIVISION; CELL MOVEMENT; COMPUTER SIMULATION; MODELS, BIOLOGICAL; MORPHOGENESIS; STEM CELLS;

EID: 33747879952     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.04.021     Document Type: Article

References (52)

1. Airey D.C., Lu L., and Williams R.W. Genetic control of the mouse cerebellum: identification of quantitative trait loci modulating size and architecture. J. Neurosci. 21 (2001) 5099-5109
2. Airey D.C., Lu L., Shou S., and Williams R.W. Genetic sources of individual differences in the cerebellum. Cerebellum 1 (2002) 233-240
3. Altman J., and Bayer S.A. Development of the Cerebellar System (1996), CRC Press, Boca Raton
4. Arneodo, A., Couder, Y., Grasseau, G., Hakim, V., Rabaud, M., 1989. Uncovering the analytical Saffman-Taylor finger in unstable viscous fingering and diffusion-limited aggregation. Phys. Rev. Lett. 63, 984-987 (cf: Thompson, D.W., 1917. On Growth and Form. Cambridge University Press, Cambridge, UK).
5. Berg C.A. The Drosophila shell game: patterning genes and morphological change. Trends Genet. 21 (2005) 346-355
6. Cai L., Hayes N.L., and Nowakowski R.S. Local homogeneity of cell cycle length in developing mouse cortex. J. Neurosci. 17 (1997) 2079-2087
7. Cai L., Hayes N.L., Takahashi T., Caviness V.S., and Nowakowski R.S. Size distribution of retrovirally marked lineages matches prediction from population measurements of cell cycle behavior. J. Neurosci. Res. 69 (2002) 731-744
8. Caviness Jr. V.S., Takahashi T., and Nowakowski R.S. Numbers, time and neocortical neuronogenesis: a general developmental and evolutionary model. Trends Neurosci. 18 (1995) 379-383
9. Caviness V.S., Guto T., Tarui T., Takahashi T., Bhide P.G., and Nowakowski R.S. Cell output, cell cycle duration and neuronal specification: a model of integrated mechanisms of the neocortical proliferative process. Cereb. Cortex 13 (2003) 592-598
10. Corrales J.D., Blaess S., Mahoney E.M., and Joyner A.L. The level of sonic hedgehog signaling regulates the complexity of cerebellar foliation. Development 133 (2006) 1811-1821
11. Davidson L.A., Koehl M.A.R., Keller R., and Oster G.F. How do sea urchins invaginate? Using biomechanics to distinguish between the mechanisms of primary invagination. Development 121 (1995) 2005-2018
12. Duguay D., Foty R.A., and Steinberg M.S. Cadherin-mediated cell adhesion and tissue segregation: qualitative and quantitative determinants. Dev. Biol. 253 (2003) 309-323
13. van Essen D.C. A tension-based theory of morphogenesis and compact wiring in the central nervous system. Nature 385 (1997) 313-318
14. Gardner M. The Game of Life, Parts I-III. Wheels, Life, and Other Mathematical Amusements (1983), WH Freeman, New York (Chapters 20-22)
15. Glazier J.A., and Graner F. Simulation of the differential adhesion driven rearrangement of biological cells. Phys. Rev. E 47 (1993) 2128-2154
16. Goldowitz D., and Hamre K. The cells and molecules that make a cerebellum. Trends Neurosci. 21 (1998) 375-382
17. Gracheva M.E., and Othmer H.G. A continuum model of motility in ameboid cells. Bull. Math. Biol. 66 (2004) 167-193
18. Hatschek E. A study of the forms assumed by drops and vortices of a gelatinising liquid in various coagulating solutions. Proc. R. Soc. London A 95 (1919) 303-316
19. Hayashi T., and Carthew R.W. Surface mechanics mediate pattern formation in the developing retina. Nature 431 (2004) 647-652
20. His, W., 1874. Unsere korperform und das physiologische problem ihrer entstehung. (C. W. Vogel, Leipzig. 152 cited in Davidson, L.A., Koehl, M.A.R., Keller, R., Oster, G.F., 1995. How do sea urchins invaginate? Using biomechanics to distinguish between the mechanisms of primary invagination). Development 121, 2005-2018.
21. Hong D.C. Wire perturbations in the Saffman-Taylor problem: pattern selection of asymmetric fingers. Phys. Rev. A 39 (1989) 2042-2049
22. Ito M. The Cerebellum and Neural Control (1984), Raven Press, New York
23. Jansen A., and Andermann E. Genetics of the polymicrogyria syndromes. J. Med. Genet. 42 (2005) 369-378
24. Karlsson L., Lindahl P., Heath J.K., and Betsholtz C. Abnormal gastrointestinal development in PDGF-A and PDGFR-a deficient mice implicates a novel mesenchymal structure with putative instructive properties in villus morphogenesis. Development 127 (2000) 3457-3466
25. Kerszberg M., and Changeux J.-P. A simple molecular model of neurulation. BioEssays 20 (1998) 758-770
26. Lauffenburger D.A. A simple model for the effects of receptor-mediated cellsubstratum adhesion on cell migration. Chem. Eng. Sci. 44 (1989) 1903-1914
27. Lee M.C.S., and Schekman R. Bar domains go on a bender. Science 303 (2004) 479-480
28. Lubarsky B., and Krasnow M.A. Tube morphogenesis: making and shaping biological tubes. Cell 112 (2003) 19-28
29. Mangin J.F., Riviere D., Cachia A., Duchesnay E., Cointepas Y., Papadopoulos-Orfanos D., Scifo P., Ochiai T., Brunelle F., and Regis J. A framework to study the cortical folding patterns. NeuroImage 23 (2004) S129-S138
30. Maskery S., and Shinbrot T. Stochastic and deterministic elements of neuronal outgrowth. Ann. Rev. Biomed. Eng. 7 (2005) 187-221
31. Meilhac S.M., Esner M., Kerszberg M., Moss J.E., and Buckingham M.E. Oriented clonal growth of mouse myocardial cells. J. Cell Biol. 164 (2004) 97-109
32. Meinhardt H. Different strategies for midline formation in bilaterians. Nat. Rev. Neurosci. 5 (2004) 502-510
33. Millen K.J., Wurst W., Herrup K., and Joyner A.L. Abnormal embryonic cerebellar development and patterning of postnatal foliation in two mouse Engrailed-2 mutants. Development 120 (1994) 695-706
34. Monuki E.S., and Walsh C.A. Mechanisms of cerebral cortical patterning in mice and humans. Nat. Neurosci. Suppl. 4 (2001) 1199-1206
35. Munro E.M., and Odell G.M. Polarized basolateral cell motility underlies invagination and convergent extension of the ascidian notochord. Development 129 (2002) 13-24
36. Necchi D., and Scherini E. The malformation of the cerebellar fissura prima: a tool for studying histogenetic processes. Cerebellum 1 (2002) 137-142
37. Nowakowski R.S., Caviness Jr. V.S., Takahashi T., and Hayes N.L. Population dynamics during cell proliferation and neuronogenesis in the developin gmurine neocortex. Res. Prob. Cell Differ. 39 (2002) 1-25
38. Pack M., Solnica-Krezel L., Malicki J., Neuhauss S.C.F., Schier A.F., Stemple D.L., Driever W., and Fishman M.C. Mutations affecting development of zebrafish digestive organs. Development 123 (1996) 321-328
39. Rabaud M., Couder Y., and Gerard N. Dynamics and stability of anomalous Saffman-Taylor fingers. Phys. Rev. A 37 (1988) 935-947
40. Regis J., Mangin J.F., Ociai T., Frouin V., Riviere D., Cachia A., Tamura M., and Samson Y. Sulcal root generic model: a hypothesis to overcome the variability of the human cortex folding patterns. Neurol. Med. Chir. (Tokyo) 45 (2005) 1-17
41. Schoenwolf G.C., and Smith J.L. Mechanisms of neurulation: traditional viewpoint and recent advances. Development 109 (1990) 243-270
42. Sekiguchi M., Shimai K., Moriya M., and Nowakowski R.S. Abnormalities of foliation and neuronal position in the cerebellum of NZB/BINJ mouse. Brain Res. Dev. Brain Res. 64 (1991) 189-195
43. Shen Q., Zhong W., Jan Y.N., and Temple S. Asymmetric Numb distribution is critical for asymmetric cell division of mouse cerebral cortical stem cells and neuroblasts. Development 129 (2002) 4843-4853
44. Shvartsman S.Y., Muratov C.B., and Lauffenburger D.A. Modeling and computational analysis of EGF receptor-mediated cell communication in Drosophila oogenesis. Development 129 (2002) 2577-2589
45. Simson R., Wallraff E., Faix J., Niewohner J., Gerisch G., and Sackmann E. Membrane bending modulus and adhesion energy of wild-type and mutant cells of dictyostelium lacking talin or cortexillins. Biophys. J. 74 (1998) 514-522
46. Steinberg M.S. Reconstruction of tissues by dissociated cells. Science 141 (1963) 401-408
47. Stevens L., Hardin J., Keller R., and Wilt F. The effects of aphidicolin on morphogenesis and differentiation in the sea urchin embryo. Dev. Biol. 118 (1986) 64-69
48. Takahashi T., Nowakowski R.S., and Caviness Jr. V.S. The leaving or Q fraction of the murine cerebral proliferative epithelium: a general model of neocortical neuronogenesis. J. Neurosci. 16 (1996) 6183-6196 (for cerebrum)
49. Walton O.R., and Braun R.L. Viscosity, granular temperature, and stress calculations for shearing assemblies of inelastic, frictional disks. J. Rheol. 30 (1986) 949-980
50. Wells J.M., and Melton D.A. Vertebrate endoderm development. Ann. Rev. Cell Dev. Biol. 15 (1999) 393-410
51. Wolpert L. Positional information and pattern formation. Curr. Top. Dev. Biol. 6 (1971) 183-224
52. Zhu Y., Yu T., and Rao Y. Temporal regulation of cerebellar EGL migration through a switch in cellular responsiveness to the mininges. Devel. Biol. 267 (2004) 153-164