Translating the Three-Dimensional Mathematical Modelling of Plant Growth to Additive Manufacturing

将植物生长的三维数学模型转化为增材制造

• 批准号: 2449766
• 金额: --
• 依托单位: University of Birmingham
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2020
• 资助国家: 英国
• 起止时间: 2020 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2449766
• 关键词: Translating; Three; Dimensional; Mathematical; Modelling

Much like how plants grow via the expansion and multiplication of cells, a 3D printed component is formed via the bonding of material point-by-point from the bottom-up. Exploiting this analogy, this work employs mathematical models of three-dimensional plant growth to further understand and aid implementation of additive manufacturing (AM) technologies (otherwise known as 3D printing). The resolution of these printed structures is of the upmost importance in the fabrication of tissue scaffolds or constructs that mimic the mechanical properties of tissues. As such, the overarching aim is to derive a generalised mathematical model to simulate the extrusion-based bioprinting process via manipulation of the underlying physics of the system. Such a model has the potential to theoretically identify which combinations of printing process parameters generate a successful resolution: the 'window of printability' of a bioink.A hydrogel typically presents a shear-thinning behaviour. In this thesis we begin by considering the simplest case: a Newtonian fluid flow far from any edge effects. We achieve this via derivation of a steady-state model for a viscous thread under extrusion using an arc-length-based coordinate system. This initial model remains an important milestone in our work towards the non-Newtonian model; providing us with a strong framework upon which non-Newtonian extensions can build. With this in place, we intend to iteratively relax assumptions on the viscosity and surface tension, enabling the model to gradually converge towards the real system as well as provide any justification for effects assumed negligible in the modelling process. We plan to employ experimental techniques to provide validation at each milestone.This uniquely transdisciplinary methodology seeks to optimise the comparability and transferability of results across materials and laboratories and, above all, extend the creativity and efficiency of Design for AM by devising a user-friendly, sustainable tool for engineers to visualise AM as a process of growth.

就像植物通过细胞的膨胀和繁殖方式生长一样，通过自下而上的材料逐点键合形成了3D印刷成分。利用此类比，这项工作采用了三维工厂生长的数学模型，以进一步了解和帮助实施增材制造技术（AM）技术（也称为3D打印）。这些印刷结构的分辨率在制造组织支架或模仿组织机械性能的结构中至关重要。因此，总体目的是得出一个广义的数学模型，以通过操纵系统的基础物理学来模拟基于挤出的生物打印过程。这样的模型具有理论上识别打印过程参数的组合产生成功的分辨率的潜力：Bioink.a水凝胶的“可打印性窗口”通常会呈现剪切的行为。在本文中，我们首先考虑最简单的情况：牛顿流体流远远离任何边缘效应。我们通过使用基于ARC长度的坐标系的稳态模型推导稳态模型来实现这一目标。这个最初的模型仍然是我们对非牛顿模型的工作中的重要里程碑。为我们提供一个很强的框架，非牛顿扩展可以建立。有了这一点，我们打算迭代地放宽对粘度和表面张力的假设，从而使模型能够逐渐收敛于真实系统，并为在建模过程中可忽略的效果提供任何理由。我们计划采用实验技术在每个里程碑上提供验证。这种独特的跨学科方法论旨在优化跨材料和实验室跨材料和实验室的结果的可比性和可转移性，最重要的是，通过设计一种用户友好的，可持续的工具来使工程师为AM的生长过程来扩展AM的创造力和效率。