# Glenn Lines

External collaborator

## Publications

Simula-affiliated publications listed

### 2023

#### Journal Articles

A. H. Erhardt, K. Tsaneva-Atanasova, G. T. Lines and E. A. Martens

Editorial: Dynamical Systems, PDEs and Networks for Biomedical Applications: Mathematical Modeling, Analysis and Simulations

Frontiers in Applied Mathematics and Statistics

P. Lakrisenko, P. Stapor, S. Grein, L. Paszkowski, D. Pathirana, F. Fröhlich, G. T. Lines, D. Weindl and J. Hasenauer

Efficient computation of adjoint sensitivities at steady-state in ODE models of biochemical reaction networks

PLOS Computational Biology

### 2022

#### Journal Articles

T. R. Karlsen, M. B. Olsen, X. Y. Kong, K. Yang, A. Quiles-Jiménez, P. Kroustallaki, S. Holm, G. T. Lines, P. Aukrust, T. Skarpengland, M. Bjørås, T. B. Dahl, H. Nilsen, I. Gregersen and B. Halvorsen

NEIL3-deficient bone marrow displays decreased hematopoietic capacity and reduced telomere length

Biochemistry and Biophysics Reports

#### Book Chapters

A. M. Bruaset, G. T. Lines and J. Sundnes

Data aggregation and anonymization for mathematical modeling and epidemiological studies

Smittestopp - A Case Study on Digital Contact Tracing

### 2019

#### Journal Articles

J. Skogestad, G. T. Lines, W. E. Louch, O. M. Sejersted, I. Sjaastad and J. M. Aronsen

Evidence for heterogeneous subsarcolemmal Na+ levels in rat ventricular myocytes

AJP-Heart and Circulatory Physiology

#### Proceedings, refereed

C. Jarvis, G. T. Lines, J. Langguth, K. Nakajima and X. Cai

Combining algorithmic rethinking and AVX-512 intrinsics for efficient simulation of subcellular calcium signaling

International Conference on Computational Science (ICCS 2019)

G. T. Lines, L. Paszkowski, L. Schmiester, D. Weindl, P. Stapor and J. Hasenauer

Efficient computation of steady states in large-scale ODE models of biochemical reaction networks

8th IFAC Conference on Foundations of Systems Biology in Engineering

### 2018

#### Journal Articles

A. Tveito, M. Maleckar and G. T. Lines

Computing Optimal Properties of Drugs Using Mathematical Models of Single Channel Dynamics

Computational and Mathematical Biophysics

T. R. Kolstad, J. van den Brink, N. MacQuaide, P. K. Lunde, M. Frisk, J. M. Aronsen, E. S. Norden, A. Cataliotti, I. Sjaastad, O. M. Sejersted, A. G. Edwards, G. T. Lines and W. E. Louch

Ryanodine Receptor Dispersion Disrupts Ca2+-Release in Failing Cardiac Myocytes

eLife

### 2017

#### Journal Articles

A. Tveito, K. H. Jæger, G. T. Lines, Ł. Paszkowski, J. Sundnes, A. G. Edwards, T. Mäki-Marttunen, G. Halnes and G. T. Einevoll

An Evaluation of the Accuracy of Classical Models for Computing the Membrane Potential and Extracellular Potential for Neurons

Frontiers in Computational Neuroscience

T. Mäki-Marttunen, G. T. Lines, A. G. Edwards, A. Tveito, A. M. Dale, G. T. Einevoll and O. A. Andreassen

Pleiotropic effects of schizophrenia-associated genetic variants in neuron firing and cardiac pacemaking revealed by computational modeling

Translational Psychiatry

M. Maleckar, A. G. Edwards, W. Louch and G. T. Lines

Studying dyadic structure-function relationships: a review of current modeling approaches and new insights into Ca2+ (mis)handling

Clinical Medicine Insights: Cardiology

M. Maleckar, A. G. Edwards, W. E. Louch and G. T. Lines

Studying dyadic structure–function relationships: a review of current modeling approaches and new insights into ca2+ (mis) handling

Clinical Medicine Insights: Cardiology

### 2016

#### Journal Articles

A. Tveito, G. T. Lines, A. G. Edwards and A. D. McCulloch

Computing rates of Markov models of voltage-gated ion channels by inverting partial differential equations governing the probability density functions of the conducting and non-conducting states

Mathematical Biosciences

G. T. Lines, B. L. de Oliveira, O. Skavhaug and M. Maleckar

Simple T wave metrics may better predict early ischemia as compared to ST segment

IEEE Transactions on Biomedical Engineering

G. T. Lines, B. L. de Oliveira, O. Skavhaug and M. Maleckar

Simple t-wave metrics may better predict early ischemia as compared to st segment

IEEE Transactions on Biomedical Engineering

#### Books

A. Tveito and G. T. Lines

Computing characterizations of drugs for ion channels and receptors using Markov models

### 2015

#### Journal Articles

J. Langguth, M. Sourouri, G. T. Lines, S. Baden and X. Cai

Scalable heterogeneous CPU-GPU computations for unstructured tetrahedral meshes

IEEE Micro

J. Chai, J. E. Hake, N. Wu, M. Wen, X. Cai, G. T. Lines, J. Yang, H. Su, C. Zhang and X. Liao

Towards Simulation of Subcellular Calcium Dynamics at Nanometre Resolution

International Journal of High Performance Computing Applications

### 2014

#### Journal Articles

M. Maleckar, G. T. Lines, J. Koivumäki, J. M. Cordeiro and K. Calloe

NS5806 Partially Restores Action Potential Duration But Fails to Ameliorate Calcium Transient Dysfunction in a Computational Model of Canine Heart Failure

Europace

#### Public outreach

X. Cai, J. E. Hake and G. T. Lines

Supercomputing-Enabled Study of Subcellular Calcium Dynamics

### 2013

#### Journal Articles

P. Li, G. T. Lines, M. Maleckar and A. Tveito

Mathematical Models of Cardiac Pacemaking Function

Frontiers in Physics

#### Proceedings, refereed

G. T. Lines, O. M. Lysaker and B. F. Nielsen

Observability of Ischemia and the Need for Patient Specific Geometrical Models in Inverse ECG

Computing in Cardiology Conference (CinC)

#### Posters

M. Maleckar, G. T. Lines and J. Koivumäki

Ca2+-Transient Dysfunction and Ion Channel Therapy: What Can We Gather From a Computational Model of Canine Heart Failure?

M. Maleckar, G. T. Lines, J. Koivumäki, K. Calloe and J. Cordeiro

NS5806 Partially Restores APD But Fails to Ameliorate Ca2+ Transient Dysfunction in a Computational Model of Canine Heart Failure

Europace 2014

#### Talks, contributed

G. T. Lines, O. M. Lysaker and B. F. Nielsen

Observability of Ischemia and the Need for Patient Specific Geometrical Models in Inverse ECG

Computing in Cardiology, Zaragoza, Spain

### 2012

#### Journal Articles

A. Tveito, G. T. Lines and M. Maleckar

A Note on a Possible Pro-Arrhythmic Property of Anti-Arrhythmic Drugs Aimed at Improving Gap-Junction Coupling

Biophysical Journal

A. Tveito, G. T. Lines, M. E. Rognes and M. Maleckar

An Analysis of the Shock Strength Needed to Achieve Defibrillation in a Simplified Mathematical Model of Cardiac Tissue

International Journal of Numerical Analysis and Modeling

A. Tveito, G. T. Lines, J. E. Hake and A. G. Edwards

Instabilities of the Resting State in a Mathematical Model of Calcium Handling in Cardiac Myocytes

Mathematical Biosciences

A. Tveito, G. T. Lines, A. G. Edwards, M. Maleckar, A. P. Michailova, J. E. Hake and A. D. McCulloch

Slow Calcium-Depolarization-Calcium Waves May Initiate Fast Local Depolarization Waves in Ventricular Tissue

Progress in Biophysics and Molecular Biology

#### Talks, invited

G. T. Lines and X. Cai

Elements of Scientific Computing

3-day intensive course given at National University of Defence Technology, China, October 16-18

### 2011

#### Journal Articles

A. Tveito, O. Skavhaug, G. T. Lines and R. Artebrant

Computing the Stability of Steady-State Solutions of Mathematical Models of the Electrical Activity in the Heart

Mathematical Biosciences and Engineering

A. Tveito, G. T. Lines, R. Artebrant, O. Skavhaug and M. Maleckar

Existence of Excitation Waves for a Collection of Cardiomyocytes Electrically Coupled to Fibroblasts

Mathematical Biosciences

A. Tveito, G. T. Lines, P. Li and A. D. McCulloch

On Defining Candidate Drug Characteristics for Long-QT

Mathematical Biosciences and Engineering

M. Hanslien, R. Artebrant, A. Tveito, G. T. Lines and X. Cai

Stability of Two Time-Integrators for the Aliev-Panfilov System

International Journal of Numerical Analysis and Modeling

A. Tveito, G. T. Lines, O. Skavhaug and M. Maleckar

Unstable Eigenmodes As Possible Drivers for Cardiac Arrhythmias

Journal of the Royal Society Interface

#### Posters

J. E. Hake, W. E. Louch, K. Haugen, I. Sjaastad, O. M. Sejersted, A. D. McCulloch, A. P. Michailova and G. T. Lines

A Stochastic Model of the Ryanodine Receptor Featuring Coupled Gating and Competitive Binding of Luminal and Cytosolic Ca2+ and Mg2+

### 2010

#### Journal Articles

R. Artebrant, A. Tveito and G. T. Lines

A Method for Analyzing the Stability of the Resting State for a Model of Pacemaker Cells Surrounded by Stable Cells

Mathematical Biosciences and Engineering

W. E. Louch, J. E. Hake, G. F. Jølle, H. K. Mørk, I. Sjaastad, G. T. Lines and O. M. Sejersted

Control of Ca2+ Release by Action Potential Configuration in Normal and Failing Murine Cardiomyocytes

Biophysical Journal

### 2009

#### Journal Articles

A. Tveito and G. T. Lines

A Note on a Method for Determining Advantageous Properties of an Anti-Arrhythmic Drug Based on a Mathematical Model of Cardiac Cells

Mathematical Biosciences

P. Deuflhard, B. Erdmann, R. Roitzsch and G. T. Lines

Adaptive Finite Element Simulation of Ventricular Fibrillation Dynamics

Computing and Visualization in Science

S. Linge, J. Sundnes, M. Hanslien, G. T. Lines and A. Tveito

Numerical Solution of the Bidomain Equations

Philosophical Transactions of the Royal Society A

G. T. Lines, S. Linge, M. C. MacLachlan and A. Tveito

Synchronizing Computer Simulations With Measurement Data for a Case of Atrial Flutter

Annals of Biomedical Engineering

#### Book Chapters

G. T. Lines and J. Sundnes

Computer Simulations of the Heart

Simula Research Laboratory - by thinking constantly about it

#### Talks, contributed

G. T. Lines, A. Tveito and P. Li

Antiarrhythmic Drug Identifaction

Presented at the Bidomain Workshop, Graz, Austria

### 2008

#### Journal Articles

A. Tveito and G. T. Lines

A Condition for Setting Off Ectopic Waves in Computational Models of Excitable Cells

Mathematical Biosciences

S. Linge, G. T. Lines, J. Sundnes and A. Tveito

On the Frequency of Automaticity During Ischemia in Simulations Based on Stochastic Perturbations of the Luo-Rudy 1 Model

Computers in Biology and Medicine

J. E. Hake and G. T. Lines

Stochastic Binding of Ca2+ in the Dyadic Cleft: Continuous Vs. Random-Walk Description of Diffusion.

Biophysical Journal

#### Talks, contributed

J. E. Hake and G. T. Lines

Modelling the Mesoscopic Length Scale of EC Coupling: the Diadic Cleft

Invited talk at 'European Conference on Mathematical and Theoretical Biology'

### 2007

#### Journal Articles

A. Schroll, G. T. Lines and A. Tveito

On the Accuracy of Operator Splitting As Applied to Discretized Reaction Diffusion Systems

International Journal of Computer Mathematics

B. F. Nielsen, T. S. Ruud, G. T. Lines and A. Tveito

Optimal Monodomain Approximations of the Bidomain Equations

Applied Mathematics and Computation

K. Mardal, O. Skavhaug, G. T. Lines, G. A. Staff and Å. Ødegård

Using Python to Solve Partial Differential Equations

Computing in Science & Engineering

#### Talks, contributed

G. T. Lines

Cardiac Computing at Simula

Talk at CBC Workshop on Biomedical Computing

G. T. Lines

Overview of the Cardiac Computations Project

Talk at CBC, Seminar on Electrophysiology Modeling

J. E. Hake and G. T. Lines

Stochastic Binding of Ca2+ Ions in the Dyadic Cleft Continuous Vs Random Walk Description of Diffusion

Presentation at ICIAM 07

J. E. Hake and G. T. Lines

Stochastic Binding of Ca2+ Ions in the Dyadic Cleft Continuous Vs Random Walk Description of Diffusion

Poster presentation at 5th Annual CHFR Symposium

### 2006

#### Journal Articles

G. T. Lines, J. B. Sande, W. E. Louch, H. K. Mørk, P. Grøttum and O. M. Sejersted

Contribution of the Na/Ca Exchanger to Rapid Ca Release in Cardiomyocytes

Biophysical Journal

J. Sundnes, B. F. Nielsen, K. Mardal, X. Cai, G. T. Lines and A. Tveito

On the Computational Complexity of the Bidomain and the Monodomain Models of Electrophysiology

Annals of Biomedical Engineering

#### Books

J. Sundnes, G. T. Lines, X. Cai, B. F. Nielsen, K. Mardal and A. Tveito

Computing the Electrical Activity in the Heart

#### Book Chapters

X. Cai and G. T. Lines

Full-Scale Simulation of Cardiac Electrophysiology on Parallel Computers

Numerical Solution of Partial Differential Equations on Parallel Computers

#### Talks, contributed

B. F. Nielsen, O. M. Lysaker, X. Cai, K. Mardal, C. Tarrou, M. C. MacLachlan, J. Sundnes, G. T. Lines and A. Tveito

Computational Issues in Heart Modeling

Presented at the Johann Radon Institute for Computational and Applied Mathematics, Linz, Austria

M. Hanslien, J. Sundnes, G. T. Lines and A. Tveito

Simulating Electrical Activity in the Heart

Presented at St Jude Medical, Stockholm, Sweeden

### 2005

#### Journal Articles

J. Sundnes, G. T. Lines and A. Tveito

An Operator Splitting Method for Solving the Bidomain Equations Coupled to a Volume Conductor Model for the Torso

Mathematical Biosciences

M. C. MacLachlan, J. Sundnes and G. T. Lines

Simulation of ST Segment Changes During Subendocardial Ischemia Using a Realistic 3-D Cardiac Geometry

IEEE Transactions on Biomedical Engineering

S. Linge, G. T. Lines and J. Sundnes

Solving the Heart Mechanics Equations With Newton and Quasi Newton Methods - a Comparison

Computer Methods in Biomechanics and Biomedical Engineering

#### Proceedings, refereed

M. Hanslien, J. Sundnes and G. T. Lines

Numerical Simulations of Cardiac Arrhythmias and Defibrillation

MekIT'05 - Third national conference on Computational Mechanics, Trondheim, Norway May 11-12

#### Technical reports

B. F. Nielsen, T. S. Ruud, G. T. Lines and A. Tveito

Optimal Monodomain Approximations of the Bidomain Equations

#### Talks, contributed

O. M. Lysaker, B. F. Nielsen, A. Tveito, G. T. Lines, J. Sundnes and C. Tarrou

Kan Man Simulere Et Hjerteslag?

LAMIS - SOMMERKURS Matematikk - med røtter og vinger, Asker

### 2004

#### Book Chapters

X. Cai, G. T. Lines and A. Tveito

Parallel Solution of the Bidomain Equations With High Resolutions

Parallel Computing: Software Technology, Algorithms, Architectures & Applications

#### Technical reports

T. K. Nilssen, L. Ingebrigtsen, M. Hanslien, G. T. Lines and A. Tveito

Resolution Requirements for a 1D Monodomain Model for Simulating

#### Talks, contributed

J. Sundnes, G. T. Lines and A. Tveito

Challenges in Mathematical Models of the Heart

Presented at the SIAM Annual meeting, Portland, Oregon

M. C. MacLachlan, J. Sundnes and G. T. Lines

Modelling ST Segment Changes During Myocardial Ischemia

Presented at the SIAM Conference on the Life Sciences: Portland, Oregon

B. F. Nielsen, O. M. Lysaker, G. T. Lines and A. Tveito

Parameter Identification Problems for Infarction Modelling

Presented at the 2004 SIAM Conference on the Life Sciences, Portland, Oregon, USA

### 2003

#### Journal Articles

G. T. Lines, J. B. Sande, P. Grøttum, T. A. Strømme and O. M. Sejersted

Co-Localization of Sodium Transporters in Isolated Cardiac Cell Membrane; a Model Study

International Journal of Bioelectromagnetism

G. T. Lines, M. L. Buist, P. Grøttum, A. J. Pullan, J. Sundnes and A. Tveito

Mathematical Models and Numerical Methods for the Forward Problem in Cardiac Electrophysiology

Computing and Visualization in Science

G. T. Lines, P. Grøttum and A. Tveito

Modeling the Electrical Activity of the Heart -A Bidomain Model of the Ventricles Embedded in a Torso

Computing and Visualization in Science

#### Proceedings, refereed

J. Sundnes and G. T. Lines

Modeling the Electro-Mechanical Behavior of an Infarcted Heart

Proceedings from MekIT'03, Second national conference on Computational Mechanics

#### Book Chapters

J. Sundnes, G. T. Lines, P. Grøttum and A. Tveito

Electrical Activity in the Human Heart

Advanced Topics in Computational Partial Differential Equations - Numerical Methods and Diffpack Programming

X. Cai, A. M. Bruaset, H. P. Langtangen, G. T. Lines, K. Samuelsson, W. Shen, A. Tveito and G. Zumbusch

Performance Modeling of PDE Solvers

Advanced Topics in Computational Partial Differential Equations - Numerical Methods and Diffpack Programming

#### Talks, contributed

G. T. Lines, B. F. Nielsen, A. Tveito, J. Sundnes, P. Grøttum, X. Cai and K. Mardal

Computing the Electrical Activity in the Human Heart

Presented at the Centre of Mathematics for Applications, Oslo

A. Tveito, G. T. Lines, J. Sundnes, B. F. Nielsen, P. Grøttum, X. Cai and K. Mardal

Computing the Electrical Activity in the Human Heart

Presented at the European Conference on Numerical Mathematics and Advanced Applications, Prague, Czech Republic

A. Tveito, G. T. Lines, B. F. Nielsen, J. Sundnes, P. Grøttum, X. Cai and K. Mardal

Computing the Heart

Presented at the 21st CAD-FEM users' meeting 2003 - International congress on FEM technology, Potsdam, Germany

B. F. Nielsen, G. T. Lines and A. Tveito

Determining the Size and Location of a Myocardial Infarction; a Scientific Computing Framework

Presented at the European Conference on Numerical Mathematics and Advanced Applications, Prague, Czech Republic

G. T. Lines, X. Cai and J. Sundnes

Parallel Algorithms for Simulating the Electrical Activity of the Heart

Presented at the Dagstuhl seminar Challenges in computational science and engineering

X. Cai, G. T. Lines and A. Tveito

Toward Extremely High-Resolution Simulation of Human Heart

Talk at the ParCo 2003 Conference, 2 - 5 September 2003, Dresden, Germany

### 2002

#### Journal Articles

G. T. Lines, J. Sundnes and A. Tveito

A Domain Embedding Strategy for Solving the Bidomain Equations on Complicated Geometries

International Journal of Bioelectromagnetism

J. Sundnes, G. T. Lines and A. Tveito

A Second Order Scheme for Solving the Bidomain and Forward Problem

International Journal of Bioelectromagnetism

J. Sundnes, G. T. Lines, K. Mardal and A. Tveito

Multigrid Block Preconditioning for a Coupled System of Partial Differential Equations Modeling the Electrical Activity in the Heart

Computer Methods in Biomechanics and Biomedical Engineering

J. Sundnes, G. T. Lines and A. Tveito

ODE Solvers for a Stiff System Arising in the Modeling of the Electrical Activity of the Heart

International Journal of Nonlinear Sciences and Numerical Simulation

#### Proceedings, refereed

X. Cai and G. T. Lines

Enabling Numerical and Software Technologies for Studying the Electrical Activity in Human Heart

Applied Parallel Computing - Advanced Scientific Computing, 6th International Conference, PARA 2002

#### Talks, contributed

G. T. Lines, J. Sundnes, A. Tveito, X. Cai, K. Mardal and A. M. Bruaset

Diffpack Simulation of the Electrical Activity in the Heart

Invited minisymposium talk at the 20th CAD-FEM User's Meeting, Friedrichshafen, Germany

### 2001

#### Journal Articles

J. Sundnes, G. T. Lines and A. Tveito

Efficient Solution of Ordinary Differential Equations Modeling Electrical Activity in Cardiac Cells

Mathematical Biosciences

#### Technical reports

G. T. Lines, X. Cai and A. Tveito

A Parallel Solution of the Bidomain Equations Modeling the Electrical Activity of the Heart

#### Talks, contributed

J. Sundnes, G. T. Lines, K. Mardal and A. Tveito

On Numerical Techniques for the Bidomain Model

Presented at the SIAM Annual meeting, San Diego, California

### 2000

#### Technical reports

J. Sundnes, G. T. Lines and A. Tveito

An Investigation of Different Solvers for Stiff ODE Systems

#### Talks, contributed

J. Sundnes, G. T. Lines and A. Tveito

Efficient Solution of ODEs Modeling Electrical Activity in Cardiac Cells

DIFTA seminar, Norwegian University of Science and Technology

### 1999

#### PhD Thesis

G. T. Lines

Simulating the Electrical Activity in the Heart - a Bidomain Model of the Ventrciles Embedded in a Torso

### 1998

#### Proceedings, refereed

G. T. Lines, P. Grøttum and A. Tveito

A Coupled Torso and Myocardium Simulator Using the Luo-Rudy Cell Model - Implementation and Results

Proceedings of the XXVth International Congress on Electrocardiology

#### Technical reports

X. Cai, A. M. Bruaset, H. P. Langtangen, G. T. Lines, K. Samuelsson, W. Shen, A. Tveito and G. Zumbusch

Performance Modeling of PDE Solvers

### 1997

#### Journal Articles

I. Johansen, G. T. Lines, A. Honne and T. Midtgaard

Calibration of an FT-IR Spectrometer for Ambient Air Monitoring Using PLS

Applied Spectroscopy

### 1996

#### Book Chapters

G. T. Lines and T. Kavli

The Equivalence of Spline Models and Fuzzy Logic Applied to Model Construction and Interpretation

Neural Adaptive Control Theory