Comron Nouri et al 2008 Phys. Biol. 5 015006 doi:10.1088/1478-3975/5/1/015006
Rayleigh instability of the inverted one-cell amphibian embryo
Comron Nouri1,2, Roel Luppes3, Arthur E P Veldman3, Jack A Tuszynski2 and Richard Gordon1,4
Show affiliationsThe one-cell amphibian embryo is modeled as a rigid spherical shell containing equal volumes of two immiscible fluids with different densities and viscosities and a surface tension between them. The fluids represent denser yolk in the bottom hemisphere and clearer cytoplasm and the germinal vesicle in the top hemisphere. The unstable equilibrium configuration of the inverted system (the heavier fluid on top) depends on the value of the contact angle. The theoretically calculated normal modes of perturbation and the instability of each mode are in agreement with the results from ComFlo computational fluid dynamic simulations of the same system. The two dominant types of modes of perturbation give rise to axisymmetric and asymmetric sloshing of the cytoplasm of the inverted embryos, respectively. This work quantifies our hypothesis that the axisymmetric mode corresponds to failure of development, and the asymmetric sloshing mode corresponds to development proceeding normally, but with reversed pigmentation, for inverted embryos.
- PACS
-
87.16.D- Membranes, bilayers, and vesicles
87.10.-e General theory and mathematical aspects
- Subjects
- Dates
-
Issue 1 (March 2008)
Received 11 December 2007, accepted for publication 27 February 2008
Published 9 April 2008
-
-
Rayleigh instability of the inverted one-cell amphibian embryo
Comron Nouri et al 2008 Phys. Biol. 5 015006
-
Multiyear Photometry and a Spectroscopic Orbital Period Search for the VY Sculptoris Type Cataclysmic Variable V794 Aquilae
R. K. Honeycutt and J. W. Robertson 1998 The Astronomical Journal 116 1961
-
Optical and X-Ray Studies of Chromospherically Active Stars: FR Cancri, HD 95559, and LO Pegasi
J. C. Pandey et al. 2005 The Astronomical Journal 130 1231
-
IRAS-Based Whole-Sky Upper Limit on Dyson Spheres
Richard A. Carrigan Jr 2009 ApJ 698 2075
-
Modeling the Ne IX Triplet Spectral Region of Capella with the Chandra and XMM-Newton Gratings
Jan-Uwe Ness et al. 2003 ApJ 598 1277
-
The Mass Accretion Rates of Intermediate-Mass T Tauri Stars
Nuria Calvet et al. 2004 The Astronomical Journal 128 1294
-
The Chamaeleontis Young Stellar Group and the Characterization of Sparse Stellar Clusters
Eric D. Feigelson et al. 2003 ApJ 599 1207
-
Determining radial breathing mode frequencies of single-walled carbon nanotubes with an atomic force microscope
J. Fraxedas et al 2007 EPL 78 16001
-
Fundamental Stellar Parameters of γ2 Velorum from HIPPARCOS Data
Daniel Schaerer et al 1997 ApJ 484 L153
-
A Re-Examination of Observed and Predicted Stellar Ionizing Fluxes in the Large Magellanic Cloud
E. S. Voges et al. 2008 The Astronomical Journal 135 1291
Users also read
What's this?- The chirality of ciliary beats
- Timing the start of division in E. coli: a single-cell study
- Modeling cell rheology with the Subcellular Element Model