Accurate modelling of intracellular calcium ion ([Formula: see text]) concentration evolution is valuable as it is known to rapidly increase during a Traumatic Brain Injury. In the work presented here, our older non-spatial model dealing with the effect of mechanical stress upon the [Formula: see text] transportation in a neuron is spatialized by considering the brain tissue as a solid continuum with the [Formula: see text] activity occurring at every material point. Starting with one-dimensional representation, the brain tissue geometry is progressively made realistic and under the action of pressure or kinematic impulses, the effect of dimensionality and material behaviour on the correlation between the stress and concomitant [Formula: see text] concentration is investigated. The spatial calcium kinetics model faithfully captures the experimental observations concerning the [Formula: see text] concentration, load rate, magnitude and duration and most importantly shows that the critical location for primary injury may not be the most important location as far as secondary injury is concerned.

中文翻译：

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脑外伤后的空间钙动力学。

精确建模细胞内钙离子（[公式：请参见文本]）浓度的变化是有价值的，因为已知它在颅脑外伤期间会迅速增加。在此处介绍的工作中，我们通过将脑组织视为与[公式：参见正文]的固体连续体，来处理空间较旧的非空间模型，该模型处理了机械应力对神经元中[公式：参见正文]的运输的影响。活动发生在每个实质点上。从一维表示开始，逐渐使大脑组织的几何形状变得逼真，并在压力或运动冲动的作用下，研究了尺寸和物质行为对压力与伴随浓度之间关系的影响。