Barenghi C F, Lakshminarayanan V
Department of Mathematics and Statistics, The University, Newcastle upon Tyne, UK.
Neurol Res. 1992 Jun;14(3):228-32. doi: 10.1080/01616412.1992.11740059.
The Hill length-tension curve of a muscle fibre is not linear. This had led us to investigate the behaviour of a model muscle sarcomere. The muscle is modelled as an oscillator of mass m subject to a nonlinear restoring force, a periodic external driving force and friction. We have found that this simple, idealized model exhibits spontaneous symmetry breaking and transition to chaos via a period doubling sequence. This result suggests that the nonlinearity in the length-tension curve of a muscle fibre could be responsible for irregular temporal behaviour and muscle tremor.
肌纤维的希尔长度-张力曲线并非线性。这促使我们研究一个模型肌肉肌节的行为。该肌肉被建模为一个质量为m的振荡器，受到非线性恢复力、周期性外部驱动力和摩擦力的作用。我们发现，这个简单的理想化模型呈现出自发对称破缺，并通过倍周期序列过渡到混沌状态。这一结果表明，肌纤维长度-张力曲线中的非线性可能是导致不规则时间行为和肌肉震颤的原因。
