Constrained Varying-Coefficient Model for Time-Course Experiments in Soft Tissue Fabrication
Constrained Varying-Coefficient Model for Time-Course Experiments in Soft Tissue Fabrication
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DOI：
10.1080/00401706.2020.1731604
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发表时间：
2020-02
期刊：
影响因子：
2.5
通讯作者：
Qian Wu;Xinwei Deng;Shiren Wang;Li Zeng
中科院分区：
文献类型：
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作者：
Qian Wu;Xinwei Deng;Shiren Wang;Li Zeng
摘要 在人造软组织的制造中，通过在材料合成过程中适当调整工艺参数来获得具有所需性能的新型生物材料。寻找所需材料的一个关键步骤是了解工艺参数和材料性能之间的关系，通常为此目的进行时程实验。本文提出了一种针对此类数据的约束变系数建模方法，在模型估计中适当地融入专家知识，使建模具有实际意义。所提出的模型具有半参数结构，并以模型系数约束的形式纳入了专家知识。还提供了基于平滑样条和加权平滑样条的估计算法。最后，在案例研究和数值研究中将所提出的方法与现有方法进行比较。
Abstract In the fabrication of artificial soft tissues, novel biomaterials with the required properties are obtained by appropriately adjusting process parameters during material synthesis. One key step in finding the desired material is understanding the relationship between the process parameters and the material properties, and time-course experiments are typically conducted for this purpose. This article proposes a constrained varying-coefficient modeling method for such data in which expert knowledge is properly accommodated in the model estimation to make the modeling practically meaningful. The proposed model has a semiparametric structure and incorporates expert knowledge in the form of constraints on model coefficients. Estimation algorithms based on a smoothing spline and a weighted smoothing spline are also provided. Finally, the proposed method is compared with existing methods in a case study and a numerical study.