NUMERICAL RESULTS VS EXPERIMENTAL DATA Tatiana Dobroserdova INM RAS Moscow Russia A Akulov Institute of Cytology and Genetics SB RAS A Cherevko Lavrentyev Institute of Hydrodynamics SB RAS ID: 807117
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BLOOD FLOWS IN VASCULAR NETWORKS: NUMERICAL RESULTS VS EXPERIMENTAL DATA
Tatiana Dobroserdova (INM RAS, Moscow, Russia) A. Akulov (Institute of Cytology and Genetics, SB RAS)A. Cherevko (Lavrentyev Institute of Hydrodynamics SB RAS)A. Khe (Lavrentyev Institute of Hydrodynamics SB RAS)K. Orlov (E. N. Meshalkin Research Institute of circulation pathology)V.Panarin (FEFU Medical Center, Vladivostok)A. Tulupov (International Tomography Center, SB RAS)
BIOMAT 2017
17th International Symposium on Mathematical and Computational
Biology
30th October - 03rd November 2017
Slide2Verification of 1D blood flow models
Slide31. Mass conservation law
2. Momentum conservation law
=
3.
State equation
System of equations for 1D model
Slide4Boundary conditionsMass balance condition:
2. Continuity of total pressure:3. Compatibility conditions
Slide5Modelling of fluid flow in the vascular network
Slide6Hydraulic model
Alastruey, J., Khir, A.W., Matthys, K.S., Segers, P., Sherwin, S.J.,Verdonck, P.R., Parker, K.H. and Peiró, J. (2011, August). Pulse wave propagation in a model human arterial network: Assessment of 1-D visco-elastic simulations against in vitro measurements.
Slide7Hydraulic model
Points of measurements
Slide81
– Experimantal data; 2 – Numerical results by described model; 3 – Numerical results by other research groupsE. Boileau et.al. A benchmark study of numerical schemes for one-dimensional arterial blood flow modellingNumerical experiment. Pressure
Slide9Numerical experiment. Flux
1 – Experimantal data; 2 – Numerical results by described model; 3 – Numerical results by other research groupsE. Boileau et.al. A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling
Slide10Modelling of fluid
flow in bifurcation of silicon carotid arteries
Slide11Measurement system (E. N. Meshalkin Research Institute of circulation pathology
)Pressure and velocity endovascular sensor
Slide12During endovascularneuro surgery
Slide13Clinical input data
data acquired by an endovascular sensor from a real patient velocitypressureMRI-compatibility pump CompuFlow 1000 MR(International Tomography Center, SB RAS )
Slide14Points of experimental measurements
Slide15Numerical results of 1D model vs Experimental measurements
NumericalExperimental
Slide16Speed in the longitudinal section (Ani3D
)
Slide17Numerical results of
3D model (Ani3D)T=0.5 T=0.6 T=0.7T=0.8 T=0.9 T=1
Slide18Bruker BioSpec
117/16 USR 11.7 T(Institute of Cytology and Genetics, SB RAS)Philips Ingenia 3.0 T(International Tomography Center, SB RAS ) MRI-scanners
Slide19stagnation
zonemixing layer
The stagnation zone and the mixing layer at its boundary (Brucker 11.7 T
)
Slide20Flow through cross
sections
(Brucker 12.7 T
)
Slide214D Flow velocity reconstruction
(Philips 3.0 T)
Slide22The fluid flow in the network of silicone tubes was simulated. Numerical pressure and flux correspond to experimental data well.The fluid flow in bifurcation of carotid arteries was modelled. This case is rather
complex. Numerical results of the 3D but not 1D blood flow model correspond to experimental MRI data.The improvement of the 1D blood flow model and especially boundary conditions in the network node is demanded for modelling of complex 3D flows.Conclusions
Slide23Thank you for your attention!