Multi-scale finite element modeling allows the mechanics of amphibian neurulation to be elucidated

被引:55
作者
Chen, Xiaoguang [1 ]
Brodland, G. Wayne [1 ,2 ]
机构
[1] Univ Waterloo, Dept Civil & Environm Engn, Waterloo, ON N2L 3G1, Canada
[2] Univ Waterloo, Dept Biol, Waterloo, ON N2L 3G1, Canada
关键词
D O I
10.1088/1478-3975/5/1/015003
中图分类号
Q5 [生物化学]; Q7 [分子生物学];
学科分类号
071010 ; 081704 ;
摘要
The novel multi-scale computational approach introduced here makes possible a new means for testing hypotheses about the forces that drive specific morphogenetic movements. A 3D model based on this approach is used to investigate neurulation in the axolotl (Ambystoma mexicanum), a type of amphibian. The model is based on geometric data from 3D surface reconstructions of live embryos and from serial sections. Tissue properties are described by a system of cell-based constitutive equations, and parameters in the equations are determined from physical tests. The model includes the effects of Shroom-activated neural ridge reshaping and lamellipodium-driven convergent extension. A typical whole-embryo model consists of 10 239 elements and to run its 100 incremental time steps requires 2 days. The model shows that a normal phenotype does not result if lamellipodium forces are uniform across the width of the neural plate; but it can result if the lamellipodium forces decrease from a maximum value at the mid-sagittal plane to zero at the plate edge. Even the seemingly simple motions of neurulation are found to contain important features that would remain hidden, they were not studied using an advanced computational model. The present model operates in a setting where data are extremely sparse and an important outcome of the study is a better understanding of the role of computational models in such environments.
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页数:15
相关论文
共 84 条
[1]  
Abe H, 1996, DATA BOOK MECH PROPE
[2]  
ALBERTS B, 2003, ESSENTIAL CELL BIOL
[3]  
[Anonymous], 1874, Unsere korperform und das physiologische problem ihrer entstehung
[4]  
[Anonymous], 1983, Theory of Shell Structures
[5]   CELL SORTING OUT - THE SELF-ASSEMBLY OF TISSUES INVITRO [J].
ARMSTRONG, PB .
CRITICAL REVIEWS IN BIOCHEMISTRY AND MOLECULAR BIOLOGY, 1989, 24 (02) :119-149
[6]   The Quickhull algorithm for convex hulls [J].
Barber, CB ;
Dobkin, DP ;
Huhdanpaa, H .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1996, 22 (04) :469-483
[7]  
Belytschko T., 2000, Nonlinear Finite Elements for Continua and Structures
[8]   Measurement of in vivo stress resultants in neurulation-stage amphibian embryos [J].
Benko, Richard ;
Brodland, G. Wayne .
ANNALS OF BIOMEDICAL ENGINEERING, 2007, 35 (04) :672-681
[9]   Automated 3-D reconstruction of the surface of live early-stage amphibian embryos [J].
Bootsma, GJ ;
Brodland, GW .
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2005, 52 (08) :1407-1414
[10]   Three-dimensional microimaging (MRμI and μCT), finite element modeling, and rapid prototyping provide unique insights into bone architecture in osteoporosis [J].
Borah, B ;
Gross, GJ ;
Dufresne, TE ;
Smith, TS ;
Cockman, MD ;
Chmielewski, PA ;
Lundy, MW ;
Hartke, JR ;
Sod, EW .
ANATOMICAL RECORD, 2001, 265 (02) :101-110