植物组织生长的多尺度建模与分析

IF 1.9 4区 数学 Q1 MATHEMATICS, APPLIED
Arezki Boudaoud, Annamaria Kiss, Mariya Ptashnyk
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引用次数: 1

摘要

应用数学学报,第83卷,第6期,2354-2389页,2023年12月。摘要。形态发生如何依赖于细胞性质是一个活跃的研究方向。在这里,我们专注于生长植物组织的力学模型,其中微观(亚)细胞结构被考虑在内。为了建立微观和宏观组织特性之间的联系,我们对生长植物组织的亚细胞分辨率模型进行了多尺度分析。我们使用均匀化严格推导出相应的宏观组织尺度模型。组织尺度的力学性能从微观结构和材料性能计算,考虑了生长场的变形。然后,我们考虑案例研究,并在数值上比较详细的微观模型和组织尺度模型,两者都使用有限元方法实现。我们发现宏观模型可以有效地对几种感兴趣的结构进行预测。我们的工作将有助于在生长组织的微观测量和宏观观察之间建立联系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Multiscale Modeling and Analysis of Growth of Plant Tissues
SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2354-2389, December 2023.
Abstract. How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links between microscopic and macroscopic tissue properties, we perform a multiscale analysis of a model of growing plant tissue with subcellular resolution. We use homogenization to rigorously derive the corresponding macroscopic tissue-scale model. Tissue-scale mechanical properties are computed from microscopic structural and material properties, taking into account deformation by the growth field. We then consider case studies and numerically compare the detailed microscopic model and the tissue-scale model, both implemented using the finite element method. We find that the macroscopic model can be used to efficiently make predictions about several configurations of interest. Our work will help making links between microscopic measurements and macroscopic observations in growing tissues.
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来源期刊
CiteScore
3.60
自引率
0.00%
发文量
79
审稿时长
12 months
期刊介绍: SIAM Journal on Applied Mathematics (SIAP) is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest. Appropriate subject areas include the physical, engineering, financial, and life sciences. Examples are problems in fluid mechanics, including reaction-diffusion problems, sedimentation, combustion, and transport theory; solid mechanics; elasticity; electromagnetic theory and optics; materials science; mathematical biology, including population dynamics, biomechanics, and physiology; linear and nonlinear wave propagation, including scattering theory and wave propagation in random media; inverse problems; nonlinear dynamics; and stochastic processes, including queueing theory. Mathematical techniques of interest include asymptotic methods, bifurcation theory, dynamical systems theory, complex network theory, computational methods, and probabilistic and statistical methods.
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