Patient Specific Haemodynamic Modeling after Occlusion Treatment in Leg

In this work we propose a method for analysis of postsurgical haemodynamics after femoral artery treatment of occlusive vascular disease. Patient specific reconstruction algorithm of 1D core network based on MRI data is proposed as a tool for such analysis. Along with presurgical ultrasound data fitting it provides effective personalizing predictive method that is validated with clinical observations

MATHEMATICAL MODELLING OF CIRCULATION IN EXTRACRANIAL BRACHOCEPHALIC ARTERIES AT P RE-OPERATION STAGE IN CAROTID ENDARTERECTOMY

Aim. Hemodynamic shifts in the brain, developing due to carotid surgery (carotid endarterectomy or stenting) might be the cause of perioperation strokes. Assessment for hemodynamic shifts is important. The aim of current study was to develop methodics of cerebral hemodynamics assessment at pre-operation and post-operation periods of carotid endarterectomy.Material and methods. The authors propose a mathematical model for preoperation analysis of hemodynamics changes in extracranial regions of brachiocephalic arteries after carotid endarterctomy. The development of mathematical model was based upon the data from pre- and postsurgery duplex scan and CT-angiography.Results. The results showed good prediction capacity for the shifts in cerebral hemodynamics, using the developed mathematical model.Conclusion. Study results make it to assess cerebral hemodynamis without supplementary investigations. The model includes and represents real anatomy and quantitative hemodynamics parameters by the CT-angiography and duplex scan of the vessels

Non-invasive fractional flow reserve: a comparison of one-dimensional and three-dimensional mathematical modeling effectiveness

Aim. Comparative analysis of the diagnostic effectiveness of onedimensional (1-D) and three-dimensional (3-D) non-invasive methods for coronary fractional flow reserve (FFR) assessment based on the coronary computed tomography angiography (CCTA).Material and methods. We carried out a retrospective analysis of CCTA data for 13 patients (men — 9, mean age — 61,07±9,73). In the original research, coronary FFR of those patients was evaluated using the original 3-D HeartFlow® Analysis followed by a standard invasive FFR assessment. We estimated coronary FFR using the 1-D algorithm of the Laboratory of Mathematical Modeling (Sechenov University) and compared the diagnostic effectiveness of these methods.Results. In per-vessel analysis, the sensitivity and specificity of the 3-D approach were 90,91% (95% confidence interval (CI) 62,26-99,53) and 20% (95% CI 0,01026-62,46, p>0,9999), respectively; in per-patient analysis — 90% (95% CI 59,58-99,49) and 0% (95% CI 0-56,15, p>0,9999), respectively; area under the ROC curve was 93,75% (95% CI 80,26-100), p=2,0431e-10. For the 1-D approach, the same parameters in per-patient analysis were 88,89 % (95% CI 56,50-99,43) and 25% (95% CI 0,01282-69,94, p>0,9999), respectively; in per-vessel analysis — 100% (95% CI 72,25-100) and 33,33% (95% CI 0,05923-70, p=0,1250), respectively; area under the ROC curve was 84,54% (95% CI 63,93-100), p=0,001. Spearman’s rank correlation coefficient between the 3-D and 1-D techniques was 0,7326 (95% CI 0,35810,9041), p=0,0017.Conclusion. Although we have obtained lower values of area under the ROC curve, the sensitivity and specificity of experimental approach, as well as the correlation coefficient between models were rather high. However, further studies with higher statistical power are required