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An inverse modelling study on the local volume changes during early growth of the fetal human brain
bioRxiv - Developmental Biology Pub Date : 2021-03-06 , DOI: 10.1101/2020.10.08.332411
Z. Wang , B. Martin , J. Weickenmeier , K. Garikipati

We take a data-driven approach to deducing the local volume changes accompanying early development of the fetal human brain. Our approach uses fetal brain atlas MRI data for the geometric changes in representative cases. Using a nonlinear continuum mechanics model of morphoelastic growth, we invert the deformation field obtained from MRI registration to arrive at a field for the growth deformation gradient tensor. Our field inversion uses a combination of direct and adjoint methods for computing gradients of the objective function while constraining the optimization by the physics of morphoelastic growth. We thus infer a growth deformation gradient field that obeys the laws of morphoelastic growth. The errors between the MRI data and the forward displacement solution driven by the inverted growth deformation gradient field are found to be smaller than the reference displacement by well over an order of magnitude, and can be driven even lower. The results thus reproduce the three-dimensional growth during the early development of the fetal brain with controllable error.

中文翻译:

胎儿人脑早期生长过程中局部体积变化的逆模型研究

我们采用数据驱动的方法来推断伴随胎儿人脑早期发育的局部体积变化。我们的方法将胎儿脑图谱MRI数据用于代表性病例的几何变化。使用形态弹性增长的非线性连续体力学模型,我们反转了从MRI配准获得的变形场,从而得出了生长变形梯度张量的场。我们的场反演使用直接方法和伴随方法的组合来计算目标函数的梯度,同时通过形态弹性增长的物理方法来约束优化。因此,我们推断出服从形态弹性生长定律的生长变形梯度场。发现MRI数据和由反向生长变形梯度场驱动的前向位移解之间的误差比参考位移小一个数量级,并且可以被驱动得更低。因此,结果可以在胎儿脑的早期发育过程中以可控的误差再现三维生长。
更新日期:2021-03-07
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