| Skeletal muscle injury is a common injury,but it will have a serious negative impact on the work and life of patients.At present,the research on the mathematical model of skeletal muscle mainly focuses on three aspects:(1)the biomechanical characteristics of skeletal muscle;(2)The regeneration process of skeletal muscle in specific diseases;(3)Rehabilitation of skeletal muscle after sports injury.These models are difficult to make a general conclusion about the regeneration process of skeletal muscle.This thesis will establish a skeletal muscle regeneration model under vibration based on the influence of these cell communities on the regeneration process of skeletal muscle and the interaction between them,and taking into account the common phenomenon of rehabilitation training.First,the interaction between key cell communities during skeletal muscle regeneration is analyzed without considering the influence of vibration.These cell communities can be divided into six types: type I macrophages,type II macrophages,satellite cells,myoblasts,healthy muscle fibers and dead muscle fibers.Their roles in the process of skeletal muscle regeneration can be broadly divided into two types of reactions:(1)immune response,the process of phagocytosis of damaged and dead muscle cells;(2)Musculogenic reaction,the process of forming and fusing muscle fibers,in which skeletal muscle regeneration is realized.In this thesis,a preliminary mathematical model will be established on this basis.The model will consist of six first-order ordinary differential equations,corresponding to six key cell communities,to analyze their changes in time domain after skeletal muscle injury.Among these six cell communities,the evaluation index of skeletal muscle recovery is the time required for healthy muscle fibers to recover to 90% of the time before damage.Then,based on the influence of vibration on these key cell communities,three vibration terms are introduced into the preliminary model to complete the establishment of skeletal muscle regeneration model under vibration.The effects of vibration on skeletal muscle regeneration are simulated through the regulation of these three vibration terms.Finally,the established vibration model is simulated and analyzed,and compared with the experimental data to verify the accuracy of the model.Then the sensitivity analysis and stability analysis of the model are carried out to determine the impact of the parameters in the model on the whole model.According to the characteristics of the established model itself,the specific process of different skeletal muscle regeneration therapies is simulated through multiple simulation analysis of the model under different parameters/injury conditions,and its efficacy is predicted. |
