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  • https://doi.org/10.1109/itab.2008.4570602Copy DOI Icon

Stability robust analysis of calcium in neuron

  • May 1, 2008
  • Yin Lei +4 more
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Abstract

In this paper, the calcium system in a neuron is a highly non-linear system. It could be delineated by unknown bounded model that is a subject of robustness analysis. We view a neural cell as a biological system and glutamate as a kind of chemical effect that disturbs the calcium homeostasis of the neural cell. Then we use robustness analysis to study the stable robustness of Ca <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2+</sup> in neurons after disturbed by glutamate in five concentrations. So the conclusion is that calcium system in a neuron is a dynamic system and its stable robustness reflects the persistence of structure, state and behavior of the system. If the deviation from the steady-state caused by larger perturbations is small enough, the stable robustness of the system is strong. Otherwise, it is weak.

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