Noninvasive assessment of carotid artery stenoses by the principle of multiscale modelling of non-Newtonian blood flow in patient-specific models

Jonášová, Alena; Vimmr, Jan

doi:10.1016/j.amc.2017.07.032

Cited by 14 publications

(12 citation statements)

References 30 publications

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“…The problem of coronary circulation with its unique haemodynamics was addressed by using the open‐loop multiscale approach, which basically couples a 3D blood flow model with one or several 0D or/and 1D models as a form of outflow boundary condition. This approach was chosen because of the requirement to develop a simple yet physiologically accurate model of bypass haemodynamics that would enable fast parameter tuning for possible patient‐based simulations in the future 55 . For this purpose, three specially developed 0D coronary models (Figure 2B‐D) available in the literature were chosen and their ability to approximate real flow conditions was tested against each other and against two additional reference outlet boundary conditions (the three‐element WM, Figure 2A, and the mean arterial pressure, MAP).…”

Section: Discussionmentioning

confidence: 99%

“…The governing equations of the four 0D blood flow models (Figure 2) coupled to the coronary artery outlets can be easily derived using the hydraulic‐electrical analogue 18,55 . As part of the proposed multiscale modelling approach, their role is to provide the 3D arterial model with physiologically relevant values of outlet pressure p O computed on the basis of the outlet flow rate Q O extrapolated from the computational domain Ω.…”

Section: Multiscale Models Of Bypass Haemodynamicsmentioning

confidence: 99%

“…(A) Three‐element Windkessel model (WM), 56,55 Figure 2A:

\frac{d}{normald t} p_{d} + \frac{1}{C_{a} R_{d}} p_{d} = \frac{1}{C_{a}} Q_{O}, p_{O} = p_{d} + R_{p} Q_{O},

where R p and R d are the proximal and distal resistances, respectively, C a is the arterial compliance of the downstream vasculature and p d is the distal pressure corresponding to the blood pressure in arterioles and capillaries.…”

Section: Multiscale Models Of Bypass Haemodynamicsmentioning

confidence: 99%

“…Due to the unavailability of flow quantities to be matched by a tuning algorithm, 55,58 the present study employs an alternative approach partially inspired by the estimation algorithm described by Sankaran et al, 9 which will help us to avoid possible identifiability problems and also ensure comparability of results computed by the different outflow 0D models. The estimation is carried out under the assumption that the blood flow is split between the aortic and coronary artery outlets in dependence on their cross‐sectional area.…”

Section: Multiscale Models Of Bypass Haemodynamicsmentioning

confidence: 99%

“…In other words, the values of R T and C T are derived from available aortic flow quantities (i.e., p aor and Q aor provided by the 0D model of systemic circulation from Appendix A) and, thus, computed only once. In this case, a principle partially based on the pulse pressure method 59 and a previously described estimation process 55 is applied, yielding the values R T = 1.54 × 10 8 Pa s m −3 and C T = 897.98 × 10 −11 m 3 Pa −1 that are, according to (20), split between all the outlets, see Table 1.…”

Section: Multiscale Models Of Bypass Haemodynamicsmentioning

confidence: 99%

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On the relevance of boundary conditions and viscosity models in blood flow simulations in patient‐specific aorto‐coronary bypass models

Jonášová

Vimmr

2021

Numer Methods Biomed Eng

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Physiologically realistic results are the aim of every blood flow simulation. This is not different in aorto‐coronary bypasses where the properties of the coronary circulation may significantly affect the relevance of the performed simulations. By considering three patient‐specific bypass geometries, the present article focuses on two aspects of the coronary blood flow – its phasic flow pattern and its behaviour affected by blood rheology. For the phasic flow property, a multiscale modelling approach is chosen as a means to assess the ability of five different types of coronary boundary conditions (mean arterial pressure, Windkessel model and three lumped parameter models) to attain realistic coronary haemodynamics. From the analysed variants of boundary conditions, the best option in terms of physiological characteristics and its potential for use in patient‐based simulations, is utilised to account for the effect of shear‐dependent viscosity on the resulting haemodynamics and wall shear stress stimulation. Aside from the Newtonian model, the blood rheology is approximated by two non‐Newtonian models in order to determine whether the choice of a viscosity model is important in simulations involving coronary circulation. A comprehensive analysis of obtained results demonstrated notable superiority of all lumped parameter models, especially in comparison to the constant outlet pressure, which regardless of bypass type gave overestimated and physiologically misleading results. In terms of rheology, it was noted that blood in undamaged coronary arteries behaves as a Newtonian fluid, whereas in vessels with atypical lumen geometry, such as that of anastomosis or stenosis, its shear‐thinning behaviour should not be ignored.

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Section: Discussionmentioning

confidence: 99%

Section: Multiscale Models Of Bypass Haemodynamicsmentioning

confidence: 99%

“…(A) Three‐element Windkessel model (WM), 56,55 Figure 2A:

\frac{d}{normald t} p_{d} + \frac{1}{C_{a} R_{d}} p_{d} = \frac{1}{C_{a}} Q_{O}, p_{O} = p_{d} + R_{p} Q_{O},

Section: Multiscale Models Of Bypass Haemodynamicsmentioning

confidence: 99%

Section: Multiscale Models Of Bypass Haemodynamicsmentioning

confidence: 99%

Section: Multiscale Models Of Bypass Haemodynamicsmentioning

confidence: 99%

See 3 more Smart Citations

On the relevance of boundary conditions and viscosity models in blood flow simulations in patient‐specific aorto‐coronary bypass models

Jonášová

Vimmr

2021

Numer Methods Biomed Eng

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Implementation and Comparison of Non-Newtonian Viscosity Models in Hemodynamic Simulations of Patient Coronary Arteries

Fernandes

Sousa

Castro

et al. 2022

Advanced Structured Materials

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Efficient Cardiovascular Parameters Estimation for Fluid-Structure Simulations Using Gappy Proper Orthogonal Decomposition

Deus,

Martin

2024

Ann Biomed Eng

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As full-scale detailed hemodynamic simulations of the entire vasculature are not feasible, numerical analysis should be focused on specific regions of the cardiovascular system, which requires the identification of lumped parameters to represent the patient behavior outside the simulated computational domain. We present a novel technique for estimating cardiovascular model parameters using gappy Proper Orthogonal Decomposition (g-POD). A POD basis is constructed with FSI simulations for different values of the lumped model parameters, and a linear operator is applied to retain information that can be compared to the available patient measurements. Then, the POD coefficients of the reconstructed solution are computed either by projecting patient measurements or by solving a minimization problem with constraints. The POD reconstruction is then used to estimate the model parameters. In the first test case, the parameter values of a 3-element Windkessel model are approximated using artificial patient measurements, obtaining a relative error of less than 4.2%. In the second case, 4 sets of 3-element Windkessel are approximated in a patient’s aorta geometry, resulting in an error of less than 8% for the flow and less than 5% for the pressure. The method shows accurate results even with noisy patient data. It automatically calculates the delay between measurements and simulations and has flexibility in the types of patient measurements that can handle (at specific points, spatial or time averaged). The method is easy to implement and can be used in simulations performed in general-purpose FSI software.

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Noninvasive assessment of carotid artery stenoses by the principle of multiscale modelling of non-Newtonian blood flow in patient-specific models

Cited by 14 publications

References 30 publications

On the relevance of boundary conditions and viscosity models in blood flow simulations in patient‐specific aorto‐coronary bypass models

On the relevance of boundary conditions and viscosity models in blood flow simulations in patient‐specific aorto‐coronary bypass models

Implementation and Comparison of Non-Newtonian Viscosity Models in Hemodynamic Simulations of Patient Coronary Arteries

Efficient Cardiovascular Parameters Estimation for Fluid-Structure Simulations Using Gappy Proper Orthogonal Decomposition

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