A change in boundary conditions induces a discontinuity of tissue flow in chicken embryos and the formation of the cephalic fold.
نویسنده
چکیده
The morphogenesis of vertebrate body parts remains an open question. It is not clear whether the existence of different structures, such as a head, can be addressed by fundamental laws of tissue movement and deformation, or whether they are only a sequence of stop-and-go genetic instructions. I have filmed by time-lapse microscopy the formation of the presumptive head territory in chicken embryos. I show that the early lateral evagination of the eye cups and of the mesencephalic plate is a consequence of a sudden change in boundary conditions of the initial cell flow occurring in these embryos. Due to tissue flow, and collision of the two halves of the embryo, the tissue sheet movement is first dipolar, and next quadrupolar. In vivo air puff tonometry reveals a simple visco-elastic behaviour of the living material. The jump from a dipolar to a quadrupolar flow changes the topology of the early morphogenetic field which is observed towards a complex vortex winding with a trail (the eye cups and brain folds). The hydrodynamical model accounts for the discontinuity of the vector field at the moment of collision of the left and right halves of the embryo, at a quantitative level. This suggests a possible mechanism for the morphogenesis of the head of amniotes, as compared to cephalochordates and anamniotes.
منابع مشابه
Inverse Sturm-Liouville problem with discontinuity conditions
This paper deals with the boundary value problem involving the differential equation begin{equation*} ell y:=-y''+qy=lambda y, end{equation*} subject to the standard boundary conditions along with the following discontinuity conditions at a point $ain (0,pi)$ begin{equation*} y(a+0)=a_1 y(a-0),quad y'(a+0)=a_1^{-1}y'(a-0)+a_2 y(a-0), end{equation*} where $q(x), a_1 , a_2$ are rea...
متن کاملThe Tween 80 Toxicity in Chicken Embryos and Effect on the Kinetics of Newcastle Disease Virus Replication
Background: Non-ionic surfactant, Tween-80 (TW80) is commonly used for drug delivery due to its effect on the cell membrane permeation. The change in permeability can also increase viral infectivity in cells. This study was undertaken to improve upon Newcastle disease virus (NDV) titer cultivated with embryonic chicken eggs. Methods: The toxicity of TW80 was investigated against chicken embryo...
متن کاملInverse Sturm-Liouville problems with a Spectral Parameter in the Boundary and transmission conditions
In this manuscript, we study the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. By defining a new Hilbert space and using its spectral data of a kind, it is shown that the potential function can be uniquely determined by part of a set of values of eigenfunctions at som...
متن کاملEvaluation of Toxic and Teratogenic Effects of Zinc Sulfide (Zns) Nanoparticles on Chicken Embryos and Fibroblastic Cells Culture
Aims: Nanoparticles (particles with a diameter of 10-500 nm) are currently used in the cosmetics industry, as well as for pharmaceuticals, diagnostic imaging and tissue engineering. Since these nanoparticles are used in industry and drug delivery, it can also be used by pregnant mothers. Hence, the aim of the present study was to investigate the teratogenic and cytotoxic effects of Zinc sulfide...
متن کاملInverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions
This paper deals with the boundary value problem involving the differential equation ell y:=-y''+qy=lambda y, subject to the eigenparameter dependent boundary conditions along with the following discontinuity conditions y(d+0)=a y(d-0), y'(d+0)=ay'(d-0)+b y(d-0). In this problem q(x), d, a , b are real, qin L^2(0,pi), din(0,pi) and lambda is a parameter independent of x. By defining a new...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- The European physical journal. E, Soft matter
دوره 34 7 شماره
صفحات -
تاریخ انتشار 2011