SKELETAL STRUCTURAL ADAPTATIONS TO MECHANICAL USAGE (SATMU) .1. REDEFINING WOLFF LAW - THE BONE MODELING PROBLEM
SKELETAL STRUCTURAL ADAPTATIONS TO MECHANICAL USAGE (SATMU) .1. REDEFINING WOLFF LAW - THE BONE MODELING PROBLEM
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DOI：
10.1002/ar.1092260402
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发表时间：
1990-04-01
影响因子：
--
通讯作者：
FROST, HM
中科院分区：
文献类型：
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作者：
FROST, HM
根据骨的端部载荷及其局部表面应变的性质，该理论计算建模算子Gamma（γ），预测机械因素是否会导致唇骨建模漂移，以及在哪里和什么样的。然后，给定的机械骨应变历史提供单独的建模速率函数M，以将这种建模漂移的速率指定为最大可能漂移的分数。将两个函数相乘，例如，. Gamma.. cntdot.. M，然后定量和定性地预测皮质骨和小梁骨的机械控制的骨建模响应。该理论正确地预测了板层骨的6种已知的“主要适应性”中的每一种，这为该器官的任何此类理论提供了关键的测试。该理论解释了沃尔夫时代所没有的生物学、生物力学和临床病理学知识，也没有被大多数生物力学家解释。现有的证明方法可以提供满足理论的数学方程所需的所有数值数据，并且已经为其中的大多数提出了临时值。它的创始人认为，这个理论是未来更多更好的理论的核心，而不是一部完成的作品，这个核心提出了一个新的、在某些方面新颖的逻辑框架来分析问题，这个核心邀请他人进行批评、改进和/或利用。
From the nature of a bone''s endload and its local surface strains, the theory computes a modeling operator, Gamma (.gamma.), that predicts whether mechanical factors will cause labellar bone modeling drifts, and where and of what kind. A given mechanical bone strain history then provides a separate modeling rate function, .ovrhdot.M, to specify the rate of such modeling drifts as fractions of the largest possible ones. Multiplying the two functions, e.g., .GAMMA..cntdot..ovrhdot.M, then predicts mechanically controlled bone modeling responses for cortical and trabecular bone, both quantitatively and qualitatively. The theory correctly predicts each of the 6 known "principal adaptations" of lamellar bone, which provide a critical test of any such theory for this organ. The theory accounts for biologic, biomechanical, and clinical-pathologic knowledge not available in Wolff''s time nor accounted for by most biomechanicians since. Existing proven methods can provide all numerical data needed to satisfy the theory''s mathematical equations and already suggest provisional values for most of them. Its originator views the theory as the kernel of more and better theories to come rather than a finished work, a kernel that suggests a new and in some respects novel logical framework for analysing the problems and a kernel that invites critique, refinement, and/or exploitation by others.