使用数学模型对髁突颈骨折愈合过程中骨与软骨组织变化的研究  

A Mathematical Model Based Study on Dynamic Changes of Chondrogenesis and Osteogenesis During Condylar Neck Fracture Healing

作　　者：谢春[1,2,3] 邬琼辉 祁峰 沈振宇 Xie Chun;Wu Qionghui;Qi Feng(Department of Stomatology,Union Hospital,Tongji Medical College,Huazhong University of Science and Technology,Wuhan 430022,China;School of Stomatology,Tongji Medical College,Huazhong University of Science and Technology,Wuhan 430030,China;Hubei Province Key Laboratory of Oral and Maxillofacial Development and Regeneration,Union Hospital,Tongji Medical College,Huazhong University of Science and Technology,Wuhan 430022,China;Department of Clinical Laboratory,Union Hospital,Tongji Medical College,Huazhong University of Science and Technology,Wuhan 430022,China)

机构地区：[1]华中科技大学同济医学院附属协和医院口腔医学中心,武汉430022 [2]华中科技大学同济医学院口腔医学院,武汉430030 [3]华中科技大学同济医学院附属协和医院口腔颌面发育与再生湖北省重点实验室,武汉430022 [4]华中科技大学同济医学院附属协和医院检验科,武汉430022

出　　处：《华中科技大学学报（医学版）》2024年第1期86-89,共4页Acta Medicinae Universitatis Scientiae et Technologiae Huazhong

基　　金：湖北省自然科学基金资助项目(No.2022CFB286);湖北省卫生健康委科研基金资助项目(No.WJ2023M031)。

摘　　要：目的 使用数学模型模拟大鼠髁突颈骨折愈合过程中成骨与成软骨的动态变化过程,探索髁突颈骨折的愈合模式。方法 构建模拟大鼠髁突颈骨折愈合的数学模型,并统计该数学模型28 d内不同时间点生成的各参数(mb, mc, cb和cc)的数值,进而拟合骨、软骨、成骨细胞及成软骨细胞的密度云图和生长曲线并推算成骨方式。结果 数学模型模拟的骨面积比与大鼠骨折实验所测接近(P>0.05)。数学模型模拟的密度云图显示,在骨折后第3天至第7天成骨集中在骨膜周围,在第7天至第21天成骨集中在软骨所在区域并逐渐替代软骨。骨生长曲线与软骨生长曲线在骨折后第5至第8天与第21至第28天正相关,与第8至第14天呈负相关。成骨细胞生长曲线和成软骨细胞生长曲线均呈现先升后降的趋势,成软骨细胞在第6天达到最大密度,成骨细胞则在第13天达到最大密度。结论 数学模型能有效模拟大鼠髁突颈骨折愈合过程,可动态展示该过程中成骨与成软骨的动态变化,为研究髁突颈骨折的愈合方法提供了新思路。Objective To explore the healing pattern of condylar neck fractures by using mathematical models to simulate the dynamic changes of osteogenesis and chondrogenesis in the process of rat condylar neck fracture healing.Methods A mathematical model was constructed to simulate the healing process of rat condylar neck fractures.The values of various parameters(mb,mc,cb and cc)generated by the model at different time points within 28days were statistically analyzed.Subsequently,density maps and growth curves of bone,cartilage,osteoblasts,and chondrocytes were fitted and the osteogenesis mode was deduced.Results The bone area ratio simulated by the mathematical model was similar to that measured in rat fracture experiments(P>0.05).The simulated density maps showed that osteogenesis was concentrated around the periosteum from day 3to day 7after fracture,and then concentrated in the cartilage region and gradually replaced cartilage from day 7to day 21.The bone growth curve and cartilage growth curve were positively correlated from day 5to day 8and from day 21to day 28.However,the curves were negatively correlated from day 8to day 14after fracture.The growth curves of osteoblasts and chondrocytes both showed an increasing trend before decreasing,with chondrocyte density peaking at day 6and osteoblast density peaking at day 13.Conclusion The mathematical model can effectively simulate the healing process of rat condylar neck fractures and display the dynamic changes of osteogenesis and chondrogenesis during the whole process.This provides a new idea for studying healing methods of condylar neck fractures.

关 键 词：数学模型 髁突颈骨折 骨折愈合 骨组织 软骨组织 

分 类 号：R782.4[医药卫生—口腔医学]