University of Groningen
Hemodynamic analysis based on biofluid models and MRI velocity measurements
Nolte, David
DOI:
10.33612/diss.95571036
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Publication date: 2019
Link to publication in University of Groningen/UMCG research database
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Nolte, D. (2019). Hemodynamic analysis based on biofluid models and MRI velocity measurements. Rijksuniversiteit Groningen. https://doi.org/10.33612/diss.95571036
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Hemodynamic analysis based on biofluid
models and MRI velocity measurements
The work in this thesis has been carried out at the Faculty of Physical and Math-ematical Sciences, University of Chile and at the Bernoulli Institute, University of Groningen. It was financially supported by the Chilean government through the
Comisión Nacional de Investigación Científica y Tecnológica (CONICYT, grant
num-ber 21151353).
Copyright © 2019 David Nolte
ISBN 978-94-034-1976-3 (printed version) ISBN 978-94-034-1975-6 (electronic version)
Hemodynamic analysis based on
biofluid models and MRI velocity
measurements
PhD thesis
to obtain the degree of PhD at the University of Groningen
on the authority of the Rector Magnificus Prof. C. Wijmenga
and in accordance with the decision by the College of Deans
and
to obtain the degree of PhD at the University of Chile,
Faculty of Physical and Mathematical Sciences. Double PhD degree
This thesis will be defended in public on Monday 23 September 2019 at 11:00 a.m.
by
David Julian Nolte
born on 16 May 1986 in Berlin, Germany
Supervisors Prof. A. Osses Prof. R.W.C.P. Verstappen Co-supervisor Dr. C.A. Bertoglio Assessment committee
Prof. M.A. Fernández Prof. V. John
Prof. P.R. Onck Prof. A. Valencia
UNIVERSIDAD DE CHILE
FACULTAD DE CIENCIAS FÍSICAS Y MATEMÁTICAS ESCUELA DE POSTGRADO
HEMODYNAMIC ANALYSIS BASED ON BIOFLUID MODELS AND MRI VELOCITY MEASUREMENTS
TESIS PARA OPTAR AL GRADO DE
DOCTOR EN CIENCIAS DE LA INGENIERÍA, MENCIÓN FLUIDODINÁMICA EN COTUTELA CON LA UNIVERSIDAD DE GRONINGEN
DAVID JULIAN NOLTE
PROFESOR GUÍA: AXEL OSSES PROFESOR GUÍA 2: ROEL VERSTAPPEN
MIEMBROS DE LA COMISIÓN: M.A. FERNÁNDEZ V. JOHN P.R. ONCK A. VALENCIA SANTIAGO DE CHILE MARZO 2019
Contents
Contents 7
1 Introduction 9
1.1 Clinical motivation . . . 9
1.2 Research questions . . . 11
1.3 Blood flow modelling . . . 11
1.4 Direct pressure gradient estimation . . . 13
1.5 Patient-specific hemodynamics . . . 15
1.6 Thesis overview . . . 22
2 Data assimilation: reducing geometric errors 25 2.1 Introduction . . . 25
2.2 Methodology . . . 26
2.3 Setup of the numerical experiments . . . 33
2.4 Numerical results . . . 38
2.5 Conclusions . . . 48
2.A Slip boundary condition for the Poiseuille flow . . . 51
3 Validation of 4D-flow-based pressure difference estimators 53 3.1 Introduction . . . 53
3.2 Theory . . . 53
3.3 Methods . . . 56
3.4 Results . . . 60
3.5 Discussion . . . 67
4 Multiscale Modeling of Vascular Trees 71 4.1 Introduction . . . 71
4.2 The full dimensional fluid flow problem in a tube structure . . . 72
4.3 MAPDD: the new junction conditions . . . 75
4.4 Numerical examples . . . 77
4.5 Conclusion . . . 82
5 Conclusion 85
8 CONTENTS 5.1 Summary . . . 85 5.2 Perspectives . . . 86 Summary 89 Samenvatting 91 Resumen 93 Acknowledgements 95 Curriculum vitae 97 Bibliography 99
