Title: A mathematical modelling on the effect of high intensity magnetic fields on pulsatile blood flow in human arteries
Authors: K. Gayathri; K. Shailendhra
Addresses: Department of Mathematics, Amrita University, Coimbatore 641 112, Tamil Nadu, India ' Department of Mathematics, Amrita University, Coimbatore 641 112, Tamil Nadu, India
Abstract: An attempt is made to investigate whether the static magnetic field (SMF) employed in magnetic resonance imaging (MRI) have any adverse effect on the hemodynamic wall parameters in large arteries or not. With the intention of addressing the controversy in the safety issues during MRI exposure, haemodynamics and pathology of large arteries, such as brachial, femoral and pulmonary artery, are compared by varying the intensity of SMF from high to ultrahigh. To be more medically accurate physiological pressure gradient waveforms taken from cardiology literature were digitised and adequate number of harmonics were extracted in order to represent them as Fourier series. All the medically relevant parameters related to endothelial functioning are significantly affected during the time of exposure to ultrahigh intensity SMF, irrespective of the fact whether the artery is closer or away from the heart. In such fields, the fluctuation of Wall Shear Stress (WSS) vector in pulmonary artery is too severe as inferred from oscillatory shear index (OSI) values. The common hypothesis that low WSS and high OSI colocate is not acceptable both in the absence and the presence of magnetic field. It is also inferred that relative residence time can be considered as a single robust metric to predict the pathogenesis of vascular diseases when OSI is moderate. It is felt that more research is necessary, especially to clarify many existing contradictory results in this regard. The controversial reports in the literature of SMF motivated us to mathematically investigate the possible adverse effects of ultrahigh SMFs on pulsatile blood flow in large human arteries and find the maximum intensity of SMF up to which the blood flow and other medically relevant parameters are not significantly affected.
Keywords: Haemodynamics; magnetic resonance imaging; oscillatory shear index; relative residence time; ultrahigh intensity magnetic field; wall shear stress.
International Journal of Bioinformatics Research and Applications, 2018 Vol.14 No.1/2, pp.70 - 89
Received: 28 Nov 2016
Accepted: 02 Sep 2017
Published online: 09 Jan 2018 *