Mathematical models use varying parameter strategies to represent paralyzed muscle force properties: a sensitivity analysis.
Mathematical models use varying parameter strategies to represent paralyzed muscle force properties: a sensitivity analysis.
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DOI：
10.1186/1743-0003-2-12
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发表时间：
2005-05-31
影响因子：
5.1
通讯作者：
Shields, Richard K
中科院分区：
文献类型：
--
作者：
Frey Law, Laura A;Shields, Richard K
背景技术背景：数学肌肉模型可能是有用的，以确定适当的肌肉骨骼应力，将安全地保持肌肉和骨骼的完整性脊髓损伤后。已经提出了几种模型来代表瘫痪的肌肉，但还没有任何系统的比较建模方法，以更好地了解模型参数和肌肉收缩性能之间的关系。这种敏感性分析的模拟肌肉力量，使用三个目前可用的数学模型提供洞察建模策略的差异，以及任何直接的参数关联与模拟肌肉力量properties.METHODS：三个数学肌肉模型进行了比较：一个传统的线性模型与3个参数和两个当代的非线性模型，每个模型有6个参数。在三个频率（5、10和20 Hz）下，计算两种刺激模式（恒定频率和初始双峰序列）的模拟肌肉力量。通过在8个值的范围内改变单个参数，同时将其余参数保持在基线值，对每个模型进行敏感性分析。确定了每个刺激模式和每个参数增量的特定模拟力特性。使用ANOVA和Tukey后续检验（α）确定每个模拟力特性的显著参数影响
BACKGROUND: Mathematical muscle models may be useful for the determination of appropriate musculoskeletal stresses that will safely maintain the integrity of muscle and bone following spinal cord injury. Several models have been proposed to represent paralyzed muscle, but there have not been any systematic comparisons of modelling approaches to better understand the relationships between model parameters and muscle contractile properties. This sensitivity analysis of simulated muscle forces using three currently available mathematical models provides insight into the differences in modelling strategies as well as any direct parameter associations with simulated muscle force properties.METHODS: Three mathematical muscle models were compared: a traditional linear model with 3 parameters and two contemporary nonlinear models each with 6 parameters. Simulated muscle forces were calculated for two stimulation patterns (constant frequency and initial doublet trains) at three frequencies (5, 10, and 20 Hz). A sensitivity analysis of each model was performed by altering a single parameter through a range of 8 values, while the remaining parameters were kept at baseline values. Specific simulated force characteristics were determined for each stimulation pattern and each parameter increment. Significant parameter influences for each simulated force property were determined using ANOVA and Tukey's follow-up tests (alpha