Simulation study of Hemodynamic in Bifurcations for Cerebral Arteriovenous Malformation using Electrical Analogy

Background and Objective: Cerebral Arteriovenous Malformation (CAVM) hemodynamic is disease condition, results changes in the flow and pressure level in cerebral blood vessels. Measuring flow and pressure without catheter intervention along the vessel is big challenge due to vessel bifurcations/complex bifurcations in Arteriovenous Malformation patients. The vessel geometry in CAVM patients are complex, composed of varying diameters, lengths, and bifurcations of various angles. The variations in the vessel diameter and bifurcation angle complicate the measurement and analysis of blood flow features invasively or non-invasively. Methods: In this paper, we proposed a lumped model for the bifurcation for symmetrical and asymmetrical networks in CAVM patients. The models are created using MATLAB Simulation software for various bifurcation angles. Each bifurcation angle created using electrical network- RLC. The segmentation and pre-processing of bifurcation vessels are implemented using adaptive segmentation. The proposed network address clinicians problem by measuring hemodynamic non-invasively. The method is applicable for any types of bifurcation networks with different bifurcation angles in CAVM patients. Results: In this work, we constructed a mathematical model, measured hemodynamic for 23 patients (actual and simulated cases) with 60 vessel bifurcation angles variations. The results indicate that comparisons evidenced highly significant correlations between values computed by the lumped model and simulated mechanical model for both networks with p < 0.0001. A P value of less than 0.05 considered statistically significant. Conclusion: In this paper, we have modelled different bifurcation types and automatically display pressure and flow non-invasively at different node and at different angles of bifurcation in the complex vessel with help of bifurcation parameters, using lumped parameter model. We have simulated for different bifurcation angles and diameters of vessel for various imaging modality and model extend for different organs. This will help clinicians to measure haemodynamic parameters noninvasively at various bifurcations, where even catheter cannot be reached.

[1]  L. Goubergrits,et al.  INVESTIGATION OF GEOMETRY AND ATHEROSCLEROSIS IN THE HUMAN CAROTID BIFURCATIONS , 2003 .

[2]  Julyan H. E. Cartwright,et al.  THE DYNAMICS OF RUNGE–KUTTA METHODS , 1992 .

[3]  C. D. Murray THE PHYSIOLOGICAL PRINCIPLE OF MINIMUM WORK APPLIED TO THE ANGLE OF BRANCHING OF ARTERIES , 1926, The Journal of general physiology.

[4]  Ghassan S Kassab,et al.  Bifurcation asymmetry of the porcine coronary vasculature and its implications on coronary flow heterogeneity. , 2004, American journal of physiology. Heart and circulatory physiology.

[5]  G. Arfken Mathematical Methods for Physicists , 1967 .

[6]  Nicolas Peter Smith Coronary flow mechanics: an anatomically based mathematical model of coronary blood flow coupled to cardiac contraction , 1999 .

[7]  Bülent Sankur,et al.  Survey over image thresholding techniques and quantitative performance evaluation , 2004, J. Electronic Imaging.

[8]  M Doblaré,et al.  CFD analysis of the human airways under impedance-based boundary conditions: application to healthy, diseased and stented trachea , 2013, Computer methods in biomechanics and biomedical engineering.

[10]  N. Otsu A threshold selection method from gray level histograms , 1979 .

[11]  Soniya Naresh Bhojwani Simulation of Physiological Signals using Wavelets , 2007 .

[12]  A. Avolio,et al.  Effect of Bifurcation Angle Configuration and Ratio of Daughter Diameters on Hemodynamics of Bifurcation Aneurysms , 2013, American Journal of Neuroradiology.

[13]  Sumei Zhang,et al.  Fast Fourier transform option pricing with stochastic interest rate, stochastic volatility and double jumps , 2013, Appl. Math. Comput..

[14]  B Hillen,et al.  Numerical simulation of blood flow in an artery with two successive bends. , 1996, Journal of biomechanics.

[15]  Pau-Choo Chung,et al.  A Fast Algorithm for Multilevel Thresholding , 2001, J. Inf. Sci. Eng..

[16]  F. Smith,et al.  Multi-branching flows from one mother tube to many daughters or to a network , 2005, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[17]  G Ferrari,et al.  Computer simulation of coronary flow waveforms during caval occlusion. , 2009, Methods of information in medicine.

[18]  Michele Conti,et al.  A simple framework to generate 3D patient-specific model of coronary artery bifurcation from single-plane angiographic images , 2014, Comput. Biol. Medicine.

[19]  Glenn D. Bergland,et al.  Numerical Analysis: A fast fourier transform algorithm for real-valued series , 1968, CACM.

[20]  Bahar Firoozabadi,et al.  Exact Simulating of Human Arteries using Lumped Model and Probing Constriction in Femoral and Carotid Arteries , 2009 .

[21]  Link,et al.  Diagnostic Accuracy of CT Angiography with Matched Mask Bone Elimination for Detection of Intracranial Aneurysms: Comparison with Digital Subtraction Angiography and 3D Rotational Angiography , 2008, American Journal of Neuroradiology.

[22]  Manjunath Ramachandra,et al.  Vascular Segmentation of Cerebral AVM , 2014 .

[23]  P. Serruys,et al.  A new imaging technique to study 3-D plaque and shear stress distribution in human coronary artery bifurcations in vivo. , 2007, Journal of biomechanics.

[24]  W. Young,et al.  Can induction of systemic hypotension help prevent nidus rupture complicating arteriovenous malformation embolization?: analysis of underlying mechanism achieved using a theoretical model. , 2000, AJNR. American journal of neuroradiology.

[25]  A. Pries,et al.  Structural adaptation and stability of microvascular networks: theory and simulations. , 1998, American journal of physiology. Heart and circulatory physiology.

[26]  K. Behbehani,et al.  Efficacy of Using Mean Arterial Blood Pressure Sequence for Three-Element Windkessel Model Estimation , 2006, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society.

[27]  M. Zivkovic,et al.  A novel framework for fluid/structure interaction in rapid subject-specific simulations of blood flow in coronary artery bifurcations. , 2014, Vojnosanitetski pregled.