2006
DOI: 10.1243/095440605x16965
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Non-linear analysis and modelling of the cellular mechanisms that regulate arterial vasomotion

Abstract: Non-linearity intrinsic to the ion transport systems that regulate intracellular [Ca 2þ ] and smooth muscle tone allows the emergence of fluctuations in vascular diameter and resistance in isolated arteries (vasomotion) that can be classified as chaotic. Correlation analysis suggests an underlying low dimensional system and a four-dimensional model of vasomotion has been formulated to simulate the effects of pharmacological manipulation of smooth muscle tone or nitric oxide (NO) synthesis by the vascular endo… Show more

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Cited by 4 publications
(2 citation statements)
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“…The resilience of Ca 2+ dynamics under CPA was reproduced by the simulations. A noteworthy aspect of the function of CPA is its ability to transform arterial vasomotion in a controlled manner that follows hallmark transition routes out of chaotic behaviour [ 35 , 38 ]. Evidence of this behaviour is shown in figure 11 a , b although detailed investigation of nonlinear oscillatory transitions was not an aim of this work.…”
Section: Discussionmentioning
confidence: 99%
“…The resilience of Ca 2+ dynamics under CPA was reproduced by the simulations. A noteworthy aspect of the function of CPA is its ability to transform arterial vasomotion in a controlled manner that follows hallmark transition routes out of chaotic behaviour [ 35 , 38 ]. Evidence of this behaviour is shown in figure 11 a , b although detailed investigation of nonlinear oscillatory transitions was not an aim of this work.…”
Section: Discussionmentioning
confidence: 99%
“…For example, there is increasing evidence that the internal system behaviour of Homo sapiens is of a chaotic (non-linear dynamic) manner. In this context see [42,43] relating to the cardiovascular system, in a journal special issue on Chaos published in March 2006.Also,Alzheimer's and Parkinson's diseases are being investigated along similar lines [44]. Such behaviour does not so much prove the above model, but rather that the model is consistent with current medical evidence.…”
Section: Introductionmentioning
confidence: 99%