inverse problems

• Distributed parameter identification for the Navier-Stokes equations for obstacle detection. J. Aguayo, C. Bertoglio, A. Osses. Inverse Problems, 2023. OpenAccess.  

• Error analysis of pressure reconstruction from discrete velocities. R. Araya, C. Bertoglio, C. Cárcamo, D. Nolte, S. Uribe. Mathematical Modeling & Numerical Analysis, 57:1839–1861, 2023. OpenAccess

•  Inverse problems in blood flow modeling: a review. D. Nolte, C. Bertoglio. Int. J. Num. Meth. Biomed. Eng., e3613, 2022. OpenAccess

• Assessment of 4D Flow MRI's quality by verifying its Navier-Stokes compatibility.  J.  Garay, H. Mella, J. Sotelo, C. Cárcamo, S. Uribe, C. Bertoglio, J. Mura. Int.J.Num.Meth.Biomed.Eng., e3603, 2022. OpenAccess

• Parameter estimation in fluid flow models from aliased velocity measurements. J. Garay, D. Nolte, M. Löcke, C. Bertoglio. Inverse Problems, 38: 95002, 2022. OpenAccess

• Validation of 4D flow based relative pressure maps in aortic flows. D. Nolte, J. Urbina, J. Sotelo, L. Sok, C. Montalba, I. Valverde, A. Osses, S. Uribe, C. Bertoglio. Medical Image Analysis, 74:102195, 2021. OpenAccess

• A distributed resistance inverse method for flow obstacle identification from internal velocity measurements. J. Aguayo, C. Bertoglio, A. Osses. Inverse Problems, 37:025010, 2021. OpenAccess. 

• Reducing the impact of geometrical errors in flow computations using velocity measurements. D. Nolte, C. Bertoglio. Int.J.Num.Meth.Biomed.Eng., e3203, 2019. OpenAccess 

• Probing Hemodynamic Load – Using Virtual Fields to Estimate Cardiovascular Relative Pressure. D. Marlevi, B. Ruijsink, M. Balmus, D. Dillon, D. Fovargue, K. Pushparajah, C. Bertoglio, M. Colarieti, M. Larsson, P. Lamata, A. Figueroa, R. Razavi, D. Nordsletten. Scientific Reports, 9:1375, 2019. OpenAccess

• Relative pressure estimation from 4D velocity measurements in blood flows: state-of-the-art and new approaches. C. Bertoglio, R. Nuñez, F. Galarce, D. Nordsletten, and A. Osses.  Int.J.Num.Meth.Biomed.Eng., 34:e2925, 2018. DOI

• Identification of artery wall stiffness: in vitro validation and in vivo results of a data assimilation procedure applied to a 3D fluid-structure interaction model. C. Bertoglio, D. Barber, N. Gaddum, I. Valverde, M. Rutten, P. Beerbaum, P. Moireau, R. Hose, and J. Gerbeau. J.Biomechanics, 47, 2014. DOI

• Sequential identification of boundary support parameters in a fluid-structure interaction vascular model using patient image data. P. Moireau, C. Bertoglio, N. Xiao, C. Figueroa, C. Taylor, D. Chapelle, and J. Gerbeau. Biomech.Mod.Mechanobiology, 12:475–496, 2013. DOI

• State observers of a vascular fluid-structure interaction model through measurements in the solid. C. Bertoglio, D. Chapelle, M. Fernández, J. Gerbeau, and P. Moireau. Comp.Meth.Appl.Mech.Eng., 256:149–168, 2013. DOI

• Sequential parameter estimation in fluid-structure problems. Application to hemodynamics. C. Bertoglio, P. Moireau, and J. Gerbeau. Int.J.Num.Meth.Biomed.Eng., 28:434–455, 2012. DOI

forward problems

•  A parametric geometry model of the aortic valve for subject-specific blood flow simulations using a resistive approach. G. Pase, T. de Vries, E. Brinkhuis, J. Kosinka, T. Willems, and C. Bertoglio. Biomech.Mod.Mechanobiology, 2023. OpenAccess

• Analysis of obstacles immersed in viscous fluids using Brinkman's law for steady Stokes and Navier-Stokes equations. J. Aguayo, H. Carrillo. SIAM Journal of Applied Mathematics, 82:4, 2022.  Preprint.

• On monolithic and Chorin-Temam schemes for incompressible flows in moving domains. R. Aróstica, C. Bertoglio. Applied Mathematics Letters,  112: 106830, 2021.  OpenAccess

• Reconstruction of the pressure in the method of asymptotic partial decomposition for the flows in tube structures. C. Bertoglio, D. Nolte, G. Panasenko, K. Pileckas. SIAM J. Applied Mathematics, 81:2083-2110, 2021. DOI.  Preprint

• Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions. C. Bertoglio, C. Conca, D. Nolte, G. Panasenko, K. Pileckas. SIAM J. Applied Mathematics, 79:959-985, 2019. DOI. Preprint 

• Benchmark problems for numerical treatment of backflow at open boundaries.  C. Bertoglio, A. Caiazzo, Y. Bazilevs, M. Braack, V. Gravemaier, A. Marsden, M. Moghadam, O. Pironneau, I. Vignon, and W. Wall.  Int.J.Num.Meth.Biomed.Eng., 34:e2918, 2018. DOI

• A Stokes-residual backflow stabilization applied to physiological flows. C. Bertoglio and A. Caiazzo. J.Computational Physics, 313:260–278, 2016. DOI

• A tangential regularization method for backflow stabilization in hemodynamics. C. Bertoglio and A. Caiazzo. J.Computational Physics, 261:162–171, 2014. DOI

• Fractional-step schemes for the coupling of distributed and lumped models in hemodynamics. C. Bertoglio, A. Caiazzo, and M. Fernández. SIAM J. Scientific Computing, 35:B551–B575, 2013. DOI

phd thesis 

•  An inverse problem in fluid mechanics applied to Biomedicine. J. Aguayo. PhD thesis, Universidad de Chile & University of Groningen, 2022. PDF

• On the analysis of inaccurate Phase-Contrast MRI and its assimilation into blood flow models. J. Garay. PhD thesis, University of Groningen, 2022. PDF

• Numerical analysis of forward and inverse fluid mechanics problems. C. Cárcamo. PhD thesis, Universidad de Concepción & University of Groningen, 2021. PDF

• Hemodynamic analysis based on biofluid models and MRI velocity measurements. D. Nolte. PhD thesis, Universidad de Chile & University of Groningen, 2019. PDF

• Forward & inverse problems in fluid-stucture interaction. Application to hemodynamics. C. Bertoglio. PhD thesis, Université Pierre & Marie Curie, 2012. PDF