Dynamics of anisotropic tissue growth

被引:68
作者
Bittig, Thomas [3 ]
Wartlick, Ortrud [1 ,2 ]
Kicheva, Anna [1 ,2 ]
Gonzalez-Gaitan, Marcos [1 ,2 ]
Juelicher, Frank [3 ]
机构
[1] Univ Geneva, Dept Biochem, CH-1211 Geneva 4, Switzerland
[2] Univ Geneva, Dept Mol Biol, CH-1211 Geneva 4, Switzerland
[3] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
关键词
D O I
10.1088/1367-2630/10/6/063001
中图分类号
O4 [物理学];
学科分类号
0702 [物理学];
摘要
We study the mechanics of tissue growth via cell division and cell death (apoptosis). The rearrangements of cells can on large scales and times be captured by a continuum theory which describes the tissue as an effective viscous material with active stresses generated by cell division. We study the effects of anisotropies of cell division on cell rearrangements and show that average cellular trajectories exhibit anisotropic scaling behaviors. If cell division and apoptosis balance, there is no net growth, but for anisotropic cell division the tissue undergoes spontaneous shear deformations. Our description is relevant for the study of developing tissues such as the imaginal disks of the fruit fly Drosophila melanogaster, which grow anisotropically.
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页数:11
相关论文
共 24 条
[1]
Model for the regulation of size in the wing imaginal disc of Drosophila [J].
Aegerter-Wilmsen, Tinri ;
Aegerter, Christof M. ;
Hafen, Ernst ;
Basler, Konrad .
MECHANISMS OF DEVELOPMENT, 2007, 124 (04) :318-326
[2]
The orientation of cell divisions determines the shape of Drosophila organs [J].
Baena-López, LA ;
Baonza, A ;
García-Bellido, A .
CURRENT BIOLOGY, 2005, 15 (18) :1640-1644
[3]
Robust formation of morphogen gradients -: art. no. 018103 [J].
Bollenbach, T ;
Kruse, K ;
Pantazis, P ;
González-Gaitán, M ;
Jülicher, F .
PHYSICAL REVIEW LETTERS, 2005, 94 (01)
[4]
Computer simulations of mitosis and interdependencies between mitosis orientation, cell shape and epithelia reshaping [J].
Brodland, GW ;
Veldhuis, JH .
JOURNAL OF BIOMECHANICS, 2002, 35 (05) :673-681
[5]
A two-phase model of solid tumour growth [J].
Byrne, HM ;
King, JR ;
MCElwain, DLS ;
Preziosi, L .
APPLIED MATHEMATICS LETTERS, 2003, 16 (04) :567-573
[6]
Cohen S., 1993, DEV DROSOPHILA MELAN, V2
[7]
Day SJ, 2000, DEVELOPMENT, V127, P2977
[8]
Coarse graining in simulated cell populations [J].
Drasdo, D .
ADVANCES IN COMPLEX SYSTEMS, 2005, 8 (2-3) :319-363
[9]
Robustness of the BMP morphogen gradient in Drosophila embryonic patterning [J].
Eldar, A ;
Dorfman, R ;
Weiss, D ;
Ashe, H ;
Shilo, BZ ;
Barkai, N .
NATURE, 2002, 419 (6904) :304-308
[10]
The influence of cell mechanics, cell-cell interactions, and proliferation on epithelial packing [J].
Farhadifar, Reza ;
Roeper, Jens-Christian ;
Algouy, Benoit ;
Eaton, Suzanne ;
Juelicher, Frank .
CURRENT BIOLOGY, 2007, 17 (24) :2095-2104