My main research field is in the numerical analysis of differential equations, in particular I am interested in the development of numerical methods that preserve underlying geometrical structures of the equations (geometric integration), like symplecticity or volume preservation.

I am also interested in the application of mathematics to interdisciplinary projects, especially towards medicine. I have established project collaborations with medicine on image processing and image analysis projects, modelling of physiological processes, use of machine learning in image analysis and as a diagnostic tool.

 

MAT121(Lineær algebra/Linear algebra)

MNF130(Diskrete strukturar/Discrete mathematics)

MAT160(Beregningsalgoritmer/Numerical analysis 1)

MAT213(Funkskjonsteori/Complex analysis)

MAT251(Klassisk og beregningsorientert mekanikk/ Classical and computational mechanics)

MAT261(Numerisk lineæralgebra/Numerial linear algebra)

MAT262(Bildebehandling/Image processing)

MNF262(Innføringskurs i bildebehandling og visualisering)

 

Master students:

• Sjur Kvammen (2006) Geometric Integration Methods for Denoising Tensor-valued Images , University of Bergen
• Kristin Eik (2008) Om fluidregistrering for medisinske bilete , University of Bergen
• Eyram Schwinger (2009) Renal Function Estimation using Magnetic Resonance Images, University of Bergen
• Gleb Berdnikov (2011) Image registration with volume constraints, University of Bergen
• Jon Nyfløtt, (2011) "Comparison of distance measures in multimodal image registration", University of Bergen 
• Anna Katharina Trull (2013) "Estimation of parameter stability in some compartment modeling in DCE-MRI", University of Lübeck.
• Milo Viviani (2015), "Geometric integration of the point vortex equation on a rotating sphere", Universita' degli studi di Pavia.
• Andrea Raffo (2016), "Comparmental analysis of 4D MRI data. Application to renal physiology", Universita' degli studi di Genova.
• Will Haugland (2017), "Real-time image based stabilization for Dynamic Contrast Enhanced Ultrasound", Universitetet i Bergen
• Thorstein Rykkje (2018), "Lie groups and the principle of virtual work applied to systems of linked rigid bodies", University of Bergen
• Nikolai Sætran (2018), "Lagrangian dynamics for solid multi-body systems with the Moving Frame formalism", University of Bergen
• Håkon Gimse, (2019), Convolutional Neural Networks for Malaria Detection, University of Bergen
• Fredrick Pfeil, (2019), A higher order IMEX for highly oscillatory differential equations, University of Bergen

PhD Student:

• Are Losnegård (2009- ), co-supervisor
• Xue Huyian (2009-2013), "Volume preserving integrators for ordinary differential equations". UiB
• Eyram Schwinger (2011-2015) Mathematical methods for ship detection from Terra-SAR imaging. University of Ghana, Legon
• Tiril Pedersen Gurholt (2013) "Image processing, filtering and segmentation of data-sets for reservoir simulations", co-supervisor, UiB.
• Ulin Nuha Abdul Qohar (2017-) "Flow-based interpretation of dynamic contrast enhanced data", UiB
• Geir K. Nilsen (November 2018-) UiB

Research associates:

• Åsmund Kjørstad, image segmentation of the kidney
• Erik Hanson, medical image processing
• Aurora Campo, image processing for biology, stereological methods.

Postdocs:

• Ilan Degani (2006-2009), quantum control.
• Erlend Hodneland (2010-2011), image registration.

MAT292projects:

• 2009: Erik Natvig, On the optimal control of quantum systems
• 2009: Børge Garpestad, Applications of differential geometry in computer graphics
• 2010: Steinar Børge, Pharmacokinetic and compartment modelling

Academic article

• Celledoni, Elena; Munthe-Kaas, Hans Zanna; Owren, Brynjulf Rustad et al. (2024). PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART II. (external link)
• Celledoni, Elena; Munthe-Kaas, Hans Zanna; Owren, Brynjulf Rustad et al. (2024). PREFACE SPECIAL ISSUE ON MECHANICS, COMPUTATION AND THEIR MATH FOUNDATIONS. PART I. (external link)
• Lorentzen, Rolf Johan; Nævdal, Geir; Sævareid, Ove et al. (2023). Perfusion estimation using synthetic MRI-based measurements and a porous media flow model. (external link)
• Munthe-Kaas, Antonella Zanna (2022). Symplectic P-stable additive Runge—Kutta methods. (external link)
• Hodneland, Erlend; Dybvik, Julie Andrea; Wagner-Larsen, Kari Strøno et al. (2021). Automated segmentation of endometrial cancer on MR images using deep learning. (external link)
• Qohar, Ulin Nuha Abdul; Munthe-Kaas, Antonella Zanna; Nordbotten, Jan Martin et al. (2021). A nonlinear multi-scale model for blood circulation in a realistic vascular system. (external link)
• Nilsen, Geir Kjetil; Munthe-Kaas, Antonella Zanna; Skaug, Hans Julius et al. (2021). Epistemic uncertainty quantification in deep learning classification by the Delta method. (external link)
• Hanson, Erik Andreas; Hodneland, Erlend; Lorentzen, Rolf Johan et al. (2019). Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments . (external link)
• Sætran, Nicolai; Zanna, Antonella (2019). Chains of rigid bodies and their numerical simulation by local frame methods. (external link)
• Hodneland, Erlend; Hanson, Erik Andreas; Sævareid, Ove et al. (2019). A new framework for assessing subject-specific whole brain circulation and perfusion using MRI-based measurements and a multi-scale continuous flow model. (external link)
• Nilsen, Geir Kjetil; Brun, Morten; Zanna, Antonella et al. (2019). Efficient Computation of Hessian Matrices in TensorFlow . (external link)
• Zanna, Antonella (2017). Some integrability properties of the Kahan method. (external link)
• Verdier, Olivier; Xue, Huiyan; Zanna, Antonella (2016). A classification of volume preserving generating forms in R^3. (external link)
• Hodneland, Erlend; Hanson, Erik Andreas; Zanna, Antonella et al. (2016). Physical models for simulation and reconstruction of human tissue deformation fields in dynamic MRI. (external link)
• Norton, Richard A.; McLaren, David I.; Quispel, Gilles Reinout Willem et al. (2015). Projection methods and discrete gradient methods for preserving first integrals of ODES. (external link)
• Munthe-Kaas, Antonella Zanna (2015). Explicit volume-preserving splitting methods for divergence-free ODEs by tensor-product basis decompositions. (external link)
• Xue, Huiyan; Zanna, Antonella (2014). Generating functions and volume preserving mappings. (external link)
• Hodneland, Erlend; Lundervold, Arvid; Rørvik, Jarle et al. (2014). Normalized gradient fields and mutual information for motion correction of DCE-MRI images. (external link)
• Hodneland, Erlend; Lundervold, Arvid; Rørvik, Jarle et al. (2014). Normalized gradient fields for nonlinear motion correction of DCE-MRI time series. (external link)
• Hodneland, Erlend; Hanson, Erik Andreas; Lundervold, Arvid et al. (2014). Segmentation-driven image registration-application to 4D DCE-MRI recordings of the moving kidneys. (external link)
• Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella (2014). Symmetric spaces and Lie triple systems in numerical analysis of differential equations. (external link)
• Xue, Huiyan; Zanna, Antonella (2013). Explicit volume-preserving splitting methods for polynomial divergence-free vector fields. (external link)
• Schwinger, Eyram; Munthe-Kaas, Antonella Zanna (2013). Comparative analysis of various thresholding techniques on TerraSAR-X images in the presence of speckle noise. (external link)
• Degani, Ilan; Zanna, Antonella (2012). Optimal quantum control by an adapted coordinate Ascent algorithm. (external link)
• Hodneland, Erlend; Ystad, Martin Andreas; Haász, Judit et al. (2012). Automated approaches for analysis of multimodal MRI acquisitions in a study of cognitive aging. (external link)
• Hodneland, Erlend; Kjørstad, Åsmund; Andersen, Erling et al. (2011). In vivo estimation of glomerular filtration in the kidney using DCE-MRI. (external link)
• Celledoni, Elena; Zanna, Antonella (2010). Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions. (external link)
• Anderlik, Andreea Maria; Zanna, Antonella ; Øye, Ola Kristoffer et al. (2009). Quantitative assessment of kidney function using dynamic contrast enhanced MRI – Steps towards an integrated software prototype. (external link)
• Degani, Ilan; Zanna, Antonella ; Sælen, Lene et al. (2009). QUANTUM CONTROL WITH PIECEWISE CONSTANT CONTROL FUNCTIONS. (external link)
• Krogstad, Stein; Munthe-Kaas, Hans; Zanna, Antonella (2009). Generalized polar coordinates on Lie groups and numerical integrators. (external link)
• Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout et al. (2008). Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. (external link)
• Celledoni, Elena; Fasso, Francesco; Säfström, Niklas et al. (2007). The exact computation of the free rigid body motion and its use in splitting methods. (external link)
• Hong, Jialin; Ying, Liu; Munthe-Kaas, Hans et al. (2006). Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. (external link)
• McLachan, Robert I.; Zanna, Antonella (2005). The discrete Moser-Veselov algorithm for the free rigid body, revisited. (external link)
• Iserles, Arieh; Zanna, Antonella (2005). Efficient computation of the matrix exponential by generalized polar decompositions. (external link)
• Zanna, Antonella (2004). Recurrence relations and convergence theory of the generalized polar decomposition on Lie groups. (external link)
• Zanna, Antonella ; Iserles, Arieh (2004). On the Spectra of Certain Matrices Generated by Involutory Automorphisms. (external link)

Feature article

• Munthe-Kaas, Antonella Zanna (2023). Holmboeprisen og Holmboesymposiet 2023. (external link)
• Munthe-Kaas, Antonella Zanna (2022). Holmboeprisen 2022. (external link)
• Munthe-Kaas, Antonella Zanna (2021). Holmboeprisen 2020-2021. (external link)

Academic lecture

• Qohar, Ulin Nuha Abdul; Sourbron, Steven; Munthe-Kaas, Antonella Zanna et al. (2021). A computational fluid dynamics framework to generate digital reference objects for perfusion imaging. (external link)
• Qohar, Ulin Nuha Abdul; Hanson, Erik Andreas; Nordbotten, Jan Martin et al. (2021). Computational Study of Vessel Occlusion using a Nonlinear Multiscale Blood Flow Model. (external link)
• Hodneland, Erlend; Nævdal, Geir; Zanna, Antonella (2020). Nye metoder for distribuert og data-drevet simulering av blodstrøm i hjernen. (external link)
• Zanna, Antonella (2019). On the construction of some symplectic P-stable additive Runge—Kutta methods. (external link)
• Qohar, Ulin Nuha Abdul; Zanna, Antonella; Nordbotten, Jan Martin et al. (2019). A multi-scale flow model for studying blood circulation in the vascular system. (external link)
• Zanna, Antonella (2019). Mathematics and Medicine. Some interdisciplinary projects at the University of Bergen. (external link)
• Qohar, Ulin Nuha Abdul; Zanna, Antonella; Nordbotten, Jan Martin et al. (2019). A study of blood flow regulation on collateral circulation using multiscale flow model. (external link)
• Zanna, Antonella (2018). A family of modified trigonometric integrators for highly oscillatory problems with good geometric properties. (external link)
• Zanna, Antonella (2017). Mathematics & Medicine - how mathematics, modelling and simulation can lead to better diagnosis and treatment. (external link)
• Zanna, Antonella (2017). A modified trigonometric integrator for highly oscillatory problems. (external link)
• Zanna, Antonella (2017). A family of modified trigonometric integrators for highly oscillatory problems with good geometric properties. (external link)
• Zanna, Antonella (2014). Testing explicit volume-preserving methods: Quasi-Geostrophic flows. (external link)
• Zanna, Antonella; Hansen, Jan Petter (2014). On a problem in quantum control. (external link)
• Zanna, Antonella (2014). On a problem in quantum control. (external link)
• Zanna, Antonella; Xue, Huiyan; Verdier, Olivier (2013). Volume preserving numerical methods and generating forms. (external link)
• Zanna, Antonella (2013). Symmetric spaces and Lie triple systems in numerical analysis of differential equations. (external link)
• Zanna, Antonella (2013). Generating forms and volume preserving numerical integrators. (external link)
• Hodneland, Erlend; Lundervold, Arvid; Rørvik, Jarle et al. (2013). Normalized gradient fields and mutual information for motion correction of DCE-MRI images. (external link)
• Munthe-Kaas, Antonella Zanna (2013). An introduction to image registration. (external link)
• Munthe-Kaas, Antonella Zanna (2013). Model based perfusion/filtration of the kidney. (external link)
• Zanna, Antonella (2013). Some new insight in volume preserving forms and divergence free differential equations. (external link)
• Schwinger, Eyram; Munthe-Kaas, Antonella Zanna (2013). Comparative Analysis of Various Thresholding Techniques on TerraSAR-X Images in the Presence of Speckle Noise. (external link)
• Munthe-Kaas, Antonella Zanna (2011). Recent advancements on explicit volume-preserving splitting methods. (external link)
• Hodneland, Erlend; Kjørstad, Åsmund; Andersen, E. et al. (2011). In vivo estimation of glomerular filtration in the kidney using DCE-MRI. (external link)
• Munthe-Kaas, Antonella Zanna (2011). Testing explicit volume-preserving splitting methods: Quasi-Geostrophic equations. (external link)
• Munthe-Kaas, Antonella Zanna (2011). MR perfusion imaging of the kidney. (external link)
• Munthe-Kaas, Antonella Zanna (2011). Recent advancements on explicit volume-preserving splitting methods. (external link)
• Munthe-Kaas, Antonella Zanna (2010). Generalized polar decompositions in control. (external link)
• Munthe-Kaas, Antonella Zanna; Xue, Huiyan (2010). Explicit volume preserving splitting methods for divergence-free vectorfields: Laurent polynomials. (external link)
• Munthe-Kaas, Antonella Zanna; Xue, Huiyan (2010). Explicit volume-preserving methods for divergence-free vector fields: basis tensor product. (external link)
• Munthe-Kaas, Antonella Zanna (2010). Generalized Polar coordinates in Control. (external link)
• Munthe-Kaas, Antonella Zanna (2010). Explicit volume-preserving splitting methods II: the case of trigonometric polynomials and tensor-product bases. (external link)
• Zanna, Antonella (2009). Generalized polar coordinates on Lie groups. (external link)
• Anderlik, Andreea Maria; Zanna, Antonella ; Øye, Ola Kristoffer et al. (2009). Quantitative assessment of kidney function using dynamic contrast enhanced MRI – Steps towards an integrated software prototype. (external link)
• Zanna, Antonella ; Degani, Ilan (2009). Issues in quantum computing. (external link)
• Zanna, Antonella (2008). Image registration by matrix group transformations. (external link)
• Degani, Ilan; Zanna, Antonella (2008). Control and efficient simulation of quantum dynamics. (external link)
• Degani, Ilan; Zanna, Antonella (2008). Control and efficient simulation of quantum dynamics. (external link)
• Degani, Ilan; Zanna, Antonella (2008). Control and efficient simulation of quantum dynamics. (external link)
• Degani, Ilan; Zanna, Antonella (2008). Control and efficient simulation of quantum dynamics. (external link)
• Degani, Ilan; Zanna, Antonella (2008). Control and efficient simulation of quantum dynamics. (external link)
• Degani, Ilan; Zanna, Antonella (2008). Control and efficient simulation of quantum dynamics. (external link)
• Zanna, Antonella ; Anderlik, Andreea Maria; Lundervold, Arvid (2008). A phantom model for testing registration in kidney perfusion analysis. (external link)
• Zanna, Antonella ; Celledoni, Elena; Fasso, Francesco et al. (2007). Exact and approximate methods for the free rigid body. (external link)
• Zanna, Antonella ; Celledoni, Elena (2007). On the exact integration of Rigid Body equations. (external link)
• Zanna, Antonella (2007). Lie group methods: where are we heading next?. (external link)
• Zanna, Antonella (2006). Geometric methods in diffusion tensor imaging of the brain. (external link)
• Zanna, Antonella (2006). On the integration of the attitude matrix for the rigid body. (external link)
• Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout et al. (2006). Volume preserving splitting methods for divergence free vector fields. (external link)
• Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout et al. (2006). Explicit volume preserving methods for divergence-free polynomial vector fields. (external link)
• Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout et al. (2006). Explicit, volume preserving splitting methods for divergence-free polynomial vector fields. (external link)
• Zanna, Antonella (2004). The Moser--Veselov algorithm for the free rigid body, revisited. (external link)
• Zanna, Antonella (2004). The discrete Moser--Veselov algorithm for the rigid body. (external link)

Reader opinion piece

• Dahl, Geir; Munthe-Kaas, Antonella Zanna; Rønquist, Einar et al. (2021). Eksamen i matematikk er på ville veier. (external link)
• Heggernes, Pinar; Munthe-Kaas, Antonella Zanna; Thorseth, Ingunn Hindenes et al. (2021). Trenger Norge flere kvinnelige realister?. (external link)

Popular scientific article

• Zanna, Antonella; Owren, Brynjulf (2019). Holmboeprisen 2018. (external link)

Lecture

• Zanna, Antonella (2019). UHT-MNT Fagorgan i matematikk og Norsk matematikkråd. (external link)
• Zanna, Antonella (2018). Flow based interpretation of dynamical contrast enhanced data. (external link)
• Zanna, Antonella (2017). Experience with Canvas/MittUib and integration with external tools. (external link)
• Zanna, Antonella; Munthe-Kaas, Hans; Quispel, Reinout (2014). Symmetries and reversing symmetries in differential equations and linear algebra. (external link)

Masters thesis

• Zanna, Antonella; Gimse, Håkon (2019). Convolutional Neural Networks for Malaria Detection. (external link)
• Zanna, Antonella; Sætran, Nicolai (2018). Lagrangian dynamics for solid multi-body systems with the Moving Frame formalism. (external link)
• Munthe-Kaas, Antonella Zanna; Berdnikov, Gleb (2011). Image Registration with Volume Constraints. (external link)
• Munthe-Kaas, Antonella Zanna; Nyfløtt, Jon (2011). Comparison of distance measures in Multimodal registration of medical images. (external link)

Article in business/trade/industry journal

• Zanna, Antonella (2019). Symplectic P-stable Additive Runge--Kutta Methods. (external link)

Poster

• Qohar, Ulin Nuha Abdul; Zanna, Antonella; Nordbotten, Jan Martin et al. (2019). Fractal vascular structure optimization based on a multi-scale blood flow model. (external link)
• Hanson, Erik Andreas; Hodneland, Erlend; Zanna, Antonella et al. (2014). Poroelastic regularization of image registration. (external link)
• Losnegård, Are; Munthe-Kaas, Antonella Zanna; Hartveit, Espen et al. (2011). Segmentation and reconstruction of neurons for simulation of signal transmission. (external link)
• Hodneland, Erlend; Munthe-Kaas, Antonella Zanna; Haàsz, Judith et al. (2011). Normalized gradient fields for multimodal image registration between DT-MRI and 3D T1-weighted MRI. (external link)
• Anderlik, Csaba; Anderlik, Andreea Maria; Zanna, Antonella et al. (2009). Integrated software prototype for medical image processing. (external link)
• Øye, Ola Kristoffer; Anderlik, Andreea Maria; Zanna, Antonella et al. (2009). MRI kidney - Quantitative assessment of kidney function using DCE-MRI. (external link)
• Anderlik, Andreea Maria; Rørvik, Jarle; Zöllner, Frank et al. (2008). Functional kidney imaging In silico – a framework for studying motion correction and pharmacokinetics. (external link)

Editorial

• Celledoni, Elena; Sanz-Serna, Jesus Maria; Zanna, Antonella (2014). Guest editors' preface. (external link)
• Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout et al. (2008). Guest Editors' Preface. (external link)

Abstract

• Hodneland, Erlend; Hanson, Erik Andreas; Lundervold, Arvid et al. (2013). Combined motion correction and segmentation of DCE-MRI kidney data. (external link)
• Munthe-Kaas, Antonella Zanna; Xue, Huiyan (2011). Recent advancements on explicit volume-preserving splitting methods. (external link)

Doctoral dissertation

• Xue, Huiyan; Zanna, Antonella (2013). Volume preserving numerical integrators for ordinary differential equations. (external link)

Academic literature review

• Zöllner, Frank Gerrit; Svarstad, Einar; Munthe-Kaas, Antonella Zanna et al. (2012). Assessment of Kidney Volumes From MRI: Acquisition and Segmentation Techniques. (external link)

Academic chapter/article/Conference paper

• Munthe-Kaas, Antonella Zanna (2011). Generalized polar decompositions in control. (external link)
• Hodneland, Erlend; Ystad, Martin Andreas; Haasz, Judit et al. (2010). Automated workflow for spatial alignment of multimodal MR image acquisitions in a longitudinal study of cognitive aging. (external link)

Interview

• Zanna, Antonella ; Gjengdal, Kjerstin (2009). Det digitale mørkerommet. (external link)

Website (informational material)

• Zanna, Antonella (2009). Matematikk i julen: polyedere og stjerner. (external link)

Book review

• Zanna, Antonella (2008). MR2358624 (2008m:70055). (external link)
• Zanna, Antonella (2008). MR2317009 (2008e:37081). (external link)
• Zanna, Antonella (2008). MR2335372 (2008h:37083). (external link)

Programme participation

• Zanna, Antonella (2008). Lønner seg å løpe eller gå i regnet?. (external link)

Popular scientific lecture

• Zanna, Antonella (2008). Image registration by matrix Lie group actions. (external link)

Report

• Zanna, Antonella (2006). Issues in postgraduate supervision : a gender aspect. (external link)

See a complete overview of publications in Cristin.

Retrieve full list from MathSciNet (requires subscription).

 

NFR Frinatek no. 262203 “Flow based interpretation of Dynamic Contrast-Enhanced imaging” (2017-2021)

 

Ended projects:

Cody: Computational Dynamics (2006-2009)

NFR no. 191178/V30, GeNuIn: Geometric Numeric Integration in Applications. (NFR, 2009-2012)

MedViz: From Vision to Decision

CRiSP (EU, 2011-2013)

NFR no. 208081 DAADppp Bergen-Lübeck, "Explicit Modelling in DCE-MRI" (2011-2012)

UiB-Meltzer  "Imagina -- Multimodal image alignment" (2011-2012)

UiB-SPIRE "Modelling and Quantification in DCE-MRI" (2013-2014)