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Optimal contraception control for a size-structured population model with extra mortality

Applicable Analysis, ISSN 0003-6811, 2018, pp. 1 - 14

Journal Article

The Annals of Applied Probability, ISSN 1050-5164, 8/2007, Volume 17, Issue 4, pp. 1306 - 1346

Importance sampling is a technique that is commonly used to speed up Monte Carlo simulation of rare events. However, little is known regarding the design of...

Saddle points | Heuristics | Boundary conditions | Markov chains | Mathematical moments | Queueing networks | Random variables | Estimators | Consistent estimators | Term weighting | Sub-solutions | Asymptotic optimality | Isaacs equation | Importance sampling | Tandem queueing networks | QUEUES | subsolutions | EXCESSIVE BACKLOGS | STATISTICS & PROBABILITY | asymptotic optimality | importance sampling | SIMULATION | tandem queueing networks | LARGE DEVIATIONS | Mathematics - Probability | 60F10 | 49N90 | 65C05

Saddle points | Heuristics | Boundary conditions | Markov chains | Mathematical moments | Queueing networks | Random variables | Estimators | Consistent estimators | Term weighting | Sub-solutions | Asymptotic optimality | Isaacs equation | Importance sampling | Tandem queueing networks | QUEUES | subsolutions | EXCESSIVE BACKLOGS | STATISTICS & PROBABILITY | asymptotic optimality | importance sampling | SIMULATION | tandem queueing networks | LARGE DEVIATIONS | Mathematics - Probability | 60F10 | 49N90 | 65C05

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 07/2016, Volume 144, Issue 7, pp. 3135 - 3150

G. Parisi predicted an important variational formula for the thermodynamic limit of the intensive free energy for a class of mean field spin glasses. In this...

Parisi formula | Sherrington-Kirkpatrick model | Dynamic programming | MATHEMATICS | dynamic programming | MATHEMATICS, APPLIED | FORMULA

Parisi formula | Sherrington-Kirkpatrick model | Dynamic programming | MATHEMATICS | dynamic programming | MATHEMATICS, APPLIED | FORMULA

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 10/2019, Volume 183, Issue 1, pp. 292 - 316

In this work, we address the fundamental problem of steering the state of a discrete-time linear system to the origin after a given (finite) number of stages...

Sparse control | Iterative least squares algorithm | Mathematics | Theory of Computation | Linearized impulsive minimum fuel control | Optimization | Compressive sensing | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 49N90 | 49N05 | Applications of Mathematics | Engineering, general | Discrete-time linear systems | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | Linear systems | Algorithms | Aerospace engineering | Stability | Steering | Discrete time systems | Controllability | Linear equations | Rendezvous | Linearization

Sparse control | Iterative least squares algorithm | Mathematics | Theory of Computation | Linearized impulsive minimum fuel control | Optimization | Compressive sensing | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 49N90 | 49N05 | Applications of Mathematics | Engineering, general | Discrete-time linear systems | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | Linear systems | Algorithms | Aerospace engineering | Stability | Steering | Discrete time systems | Controllability | Linear equations | Rendezvous | Linearization

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2016, Volume 292, pp. 292 - 306

For a real practical system, a large fluctuation in the control signal is highly undesirable. To address this undesirable situation, we investigate a...

All-time-step constraints | Constraints transcription | Discrete-time optimal control | Smooth transformation | Terminal state constraints | MSC 37N35 | 90C30 | 49N90 | MATHEMATICS, APPLIED | SYSTEMS | Analysis | Business schools | Approximation | Computation | Mathematical analysis | Optimal control | Cost function | Mathematical models | Terminals | Convergence

All-time-step constraints | Constraints transcription | Discrete-time optimal control | Smooth transformation | Terminal state constraints | MSC 37N35 | 90C30 | 49N90 | MATHEMATICS, APPLIED | SYSTEMS | Analysis | Business schools | Approximation | Computation | Mathematical analysis | Optimal control | Cost function | Mathematical models | Terminals | Convergence

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 11/2019, Volume 183, Issue 2, pp. 642 - 670

We revisit the optimal control problem of maximizing biogas production in continuous bio-processes in two directions: 1. over an infinite horizon, 2. with...

Chemostat model | Mathematics | Theory of Computation | Singular arc | Optimization | Sub-optimality | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Optimal control | 49N90 | Applications of Mathematics | Engineering, general | Infinite horizon | 49N35 | 49K15 | 93B52 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FINITE | TURNPIKE PROPERTIES | BIOPROCESS | Models | Biogas | Biomass energy | Analysis | Production processes | Controllers | Feedback

Chemostat model | Mathematics | Theory of Computation | Singular arc | Optimization | Sub-optimality | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Optimal control | 49N90 | Applications of Mathematics | Engineering, general | Infinite horizon | 49N35 | 49K15 | 93B52 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FINITE | TURNPIKE PROPERTIES | BIOPROCESS | Models | Biogas | Biomass energy | Analysis | Production processes | Controllers | Feedback

Journal Article

Quality & Quantity, ISSN 0033-5177, 1/2019, Volume 53, Issue 1, pp. 207 - 220

The Stackelberg approach of the differential game is important to fight terrorism, that is through government tasks such as education improvement, solving the...

91A23 | Fighting the terrorism | Optimal strategy | Social Sciences | Stackelberg | 49N70 | 49N90 | Methodology of the Social Sciences | Social Sciences, general | (I) Game theory | Justice | Studies | Economic models | Terrorism | Games | Religion | Game theory | Unemployment

91A23 | Fighting the terrorism | Optimal strategy | Social Sciences | Stackelberg | 49N70 | 49N90 | Methodology of the Social Sciences | Social Sciences, general | (I) Game theory | Justice | Studies | Economic models | Terrorism | Games | Religion | Game theory | Unemployment

Journal Article

Journal of Mathematical Biology, ISSN 0303-6812, 3/2019, Volume 78, Issue 4, pp. 1089 - 1113

In order to seek the optimal time-profiles of public health systems (PHS) Intervention to favor vaccine propensity, we apply optimal control (OC) to a SIR...

Mathematical and Computational Biology | Vaccination | Mathematics | 92D30 | Public health system | 91A22 | Forward–backward sweep method | Optimal control | Simulated annealing | 49N90 | Applications of Mathematics | 91A80 | Human behavior | 49J15 | Communication | SIR MODEL | BACKWARD BIFURCATION | BEHAVIOR | PREVENTION | CONTROL STRATEGY | TRANSMISSION DYNAMICS | IMPACT | INFECTIOUS-DISEASES | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Forward-backward sweep method | OPTIMIZATION | EPIDEMIC | Prevention | Usage | Mathematical models | Models | Children | Social aspects | Diseases | Intervention | Costs | Immunization | Computer simulation | Health promotion | Parents | Health risks | Oscillations | Risk perception | Vaccines | Algorithms | Stochasticity | Public health

Mathematical and Computational Biology | Vaccination | Mathematics | 92D30 | Public health system | 91A22 | Forward–backward sweep method | Optimal control | Simulated annealing | 49N90 | Applications of Mathematics | 91A80 | Human behavior | 49J15 | Communication | SIR MODEL | BACKWARD BIFURCATION | BEHAVIOR | PREVENTION | CONTROL STRATEGY | TRANSMISSION DYNAMICS | IMPACT | INFECTIOUS-DISEASES | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Forward-backward sweep method | OPTIMIZATION | EPIDEMIC | Prevention | Usage | Mathematical models | Models | Children | Social aspects | Diseases | Intervention | Costs | Immunization | Computer simulation | Health promotion | Parents | Health risks | Oscillations | Risk perception | Vaccines | Algorithms | Stochasticity | Public health

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 6/2019, Volume 79, Issue 3, pp. 1456 - 1476

In Eikonal equations, rarefaction is a common phenomenon known to degrade the rate of convergence of numerical methods. The “factoring” approach alleviates...

Computational Mathematics and Numerical Analysis | 65N12 | Eikonal | Theoretical, Mathematical and Computational Physics | Factoring | Rarefaction fans | Mathematics | 49L20 | Algorithms | Mathematical and Computational Engineering | 49N90 | Robotic navigation | Fast Marching | 49L25 | 65N22 | MATHEMATICS, APPLIED

Computational Mathematics and Numerical Analysis | 65N12 | Eikonal | Theoretical, Mathematical and Computational Physics | Factoring | Rarefaction fans | Mathematics | 49L20 | Algorithms | Mathematical and Computational Engineering | 49N90 | Robotic navigation | Fast Marching | 49L25 | 65N22 | MATHEMATICS, APPLIED

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 10/2018, Volume 179, Issue 1, pp. 240 - 264

In this paper, we address the problem of guiding an aerial or aquatic vehicle to a fixed target point in a partially uncertain flow-field. We assume that the...

Input constraints | Mathematics | Theory of Computation | Minimum-time guidance | Optimization | 91A23 | 49N75 | Pursuit–evasion game | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 49N90 | Time-varying winds | Applications of Mathematics | Engineering, general | WIND | Pursuit-evasion game | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | WINDSHEAR | SYSTEMS | DIFFERENTIAL-GAMES | STRATEGIES | Analysis | Aerospace engineering | Game theory | Optimal control | Pursuit-evasion games

Input constraints | Mathematics | Theory of Computation | Minimum-time guidance | Optimization | 91A23 | 49N75 | Pursuit–evasion game | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 49N90 | Time-varying winds | Applications of Mathematics | Engineering, general | WIND | Pursuit-evasion game | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | WINDSHEAR | SYSTEMS | DIFFERENTIAL-GAMES | STRATEGIES | Analysis | Aerospace engineering | Game theory | Optimal control | Pursuit-evasion games

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 8/2017, Volume 174, Issue 2, pp. 500 - 517

Bang-bang control problems have numerical issues due to discontinuities in the control structure and require smoothing when using optimal control theory that...

Goddard rocket problem | Mathematics | Theory of Computation | Optimization | Trigonomerization | Singular control | Bang-bang control | 49K30 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 49N90 | Applications of Mathematics | Engineering, general | Regularization | 49K15 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SYSTEMS | HOMOTOPIC APPROACH | COMPUTATION | THRUST TRAJECTORY OPTIMIZATION | Problems | Errors | Equations of state | Smoothing | Optimal control | Regularization methods | Control theory | Trigonometric functions

Goddard rocket problem | Mathematics | Theory of Computation | Optimization | Trigonomerization | Singular control | Bang-bang control | 49K30 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 49N90 | Applications of Mathematics | Engineering, general | Regularization | 49K15 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SYSTEMS | HOMOTOPIC APPROACH | COMPUTATION | THRUST TRAJECTORY OPTIMIZATION | Problems | Errors | Equations of state | Smoothing | Optimal control | Regularization methods | Control theory | Trigonometric functions

Journal Article

Optimization Methods and Software, ISSN 1055-6788, 05/2017, Volume 32, Issue 3, pp. 436 - 454

We propose an algorithm for the effective solution of quadratic programming (QP) problems arising from model predictive control (MPC). MPC is a modern...

model predictive control | 90C20 | quadratic programming | active-set strategy | 93C95 | 49N90 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | STABILITY | ALGORITHM | CONSTRAINTS | QUADRATIC FUNCTION | Quadratic programming | Algorithms | Predictive control | Control methods | Solvers | Strategy | Mathematical models | Optimization

model predictive control | 90C20 | quadratic programming | active-set strategy | 93C95 | 49N90 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | STABILITY | ALGORITHM | CONSTRAINTS | QUADRATIC FUNCTION | Quadratic programming | Algorithms | Predictive control | Control methods | Solvers | Strategy | Mathematical models | Optimization

Journal Article

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Wavelets approach for optimal boundary control of cellular uptake in tissue engineering

International Journal of Computer Mathematics, ISSN 0020-7160, 07/2015, Volume 92, Issue 7, pp. 1402 - 1412

The control of the uptake of growth factors in tissue engineering is mathematically modelled by a partial differential equation subject to boundary and initial...

optimal control | tissue engineering | 49J20 | wavelets | 49N90 | MATHEMATICS, APPLIED | NUMERICAL-SOLUTION | Wavelet | Uptakes | Parametrization | Cellular | Algebra | Initial conditions | Tissue engineering | Mathematical models

optimal control | tissue engineering | 49J20 | wavelets | 49N90 | MATHEMATICS, APPLIED | NUMERICAL-SOLUTION | Wavelet | Uptakes | Parametrization | Cellular | Algebra | Initial conditions | Tissue engineering | Mathematical models

Journal Article

Numerische Mathematik, ISSN 0029-599X, 3/2014, Volume 126, Issue 3, pp. 515 - 557

We study the discretization of the escape time problem: find the length of the shortest path joining an arbitrary point $$z$$ z of a domain $$\Omega $$ Ω , to...

65N12 | Theoretical, Mathematical and Computational Physics | 35F30 | Mathematics | Mathematical Methods in Physics | 49L20 | 49J20 | Numerical Analysis | Appl.Mathematics/Computational Methods of Engineering | 49N90 | Numerical and Computational Physics | Mathematics, general | 49L25 | MATHEMATICS, APPLIED | HAMILTON-JACOBI EQUATIONS | Anisotropy | Analysis | Algorithms

65N12 | Theoretical, Mathematical and Computational Physics | 35F30 | Mathematics | Mathematical Methods in Physics | 49L20 | 49J20 | Numerical Analysis | Appl.Mathematics/Computational Methods of Engineering | 49N90 | Numerical and Computational Physics | Mathematics, general | 49L25 | MATHEMATICS, APPLIED | HAMILTON-JACOBI EQUATIONS | Anisotropy | Analysis | Algorithms

Journal Article

Journal of Mathematical Biology, ISSN 0303-6812, 3/2016, Volume 72, Issue 4, pp. 1125 - 1152

This paper should be read as addendum to Dieckmann et al. (J Theor Biol 241:370–389, 2006) and Parvinen et al. (J Math Biol 67: 509–533, 2013). Our goal is,...

Mathematical and Computational Biology | 37N25 | Mathematics | Age-dependent resource allocation | Canonical equation of adaptive dynamics | Evolution in periodic environments | 92D15 | 49N90 | Mendelian take on life history theory | Applications of Mathematics | Function valued traits | Pontryagin’s maximum principle | 92D40 | 49K15

Mathematical and Computational Biology | 37N25 | Mathematics | Age-dependent resource allocation | Canonical equation of adaptive dynamics | Evolution in periodic environments | 92D15 | 49N90 | Mendelian take on life history theory | Applications of Mathematics | Function valued traits | Pontryagin’s maximum principle | 92D40 | 49K15

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 8/2017, Volume 174, Issue 2, pp. 567 - 612

We present a continuous-time generalization of the seminal research and development model of d’Aspremont and Jacquemin (Am Econ Rev 78(5):1133–1137, 1988) to...

Collusion | Spillovers | Bifurcations | R&D cooperatives | Mathematics | Theory of Computation | Antitrust policy | Optimization | Calculus of Variations and Optimal Control; Optimization | 91B38 | Operations Research/Decision Theory | 49N90 | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RESEARCH JOINT VENTURES | COMPETITION | FIRMS | INNOVATION | Industrial research | Economic policy | Cooperatives | Viscosity | Economic models | Market research | Research & development--R&D | Dynamical systems | Marketing

Collusion | Spillovers | Bifurcations | R&D cooperatives | Mathematics | Theory of Computation | Antitrust policy | Optimization | Calculus of Variations and Optimal Control; Optimization | 91B38 | Operations Research/Decision Theory | 49N90 | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RESEARCH JOINT VENTURES | COMPETITION | FIRMS | INNOVATION | Industrial research | Economic policy | Cooperatives | Viscosity | Economic models | Market research | Research & development--R&D | Dynamical systems | Marketing

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 07/2016, Volume 170, Issue 1, pp. 323 - 342

In the literature on marketing models, the assumption of mixed word-of-mouth has been limited to the Bass diffusion model. Yet explicit leveraging of the...

Conformance quality | Mathematics | Theory of Computation | Word-of-mouth | Optimization | Sales | Advertising effort | Calculus of Variations and Optimal Control; Optimization | 49N90 | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 90B60 | 49N10 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | OPERATIONS | INFORMATION | MARKETING PRODUCTIVITY | PROCESS IMPROVEMENT | DYNAMIC GAME | Advertising | Studies | Word of mouth advertising | Diffusion | Mathematical analysis | Attraction | Customers | Tradeoffs | Marketing

Conformance quality | Mathematics | Theory of Computation | Word-of-mouth | Optimization | Sales | Advertising effort | Calculus of Variations and Optimal Control; Optimization | 49N90 | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 90B60 | 49N10 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | OPERATIONS | INFORMATION | MARKETING PRODUCTIVITY | PROCESS IMPROVEMENT | DYNAMIC GAME | Advertising | Studies | Word of mouth advertising | Diffusion | Mathematical analysis | Attraction | Customers | Tradeoffs | Marketing

Journal Article

Finance and Stochastics, ISSN 0949-2984, 4/2017, Volume 21, Issue 2, pp. 331 - 360

In this paper, which is a continuation of the discrete-time paper (Björk and Murgoci in Finance Stoch. 18:545–592, 2004), we study a class of continuous-time...

Probability Theory and Stochastic Processes | Mathematics | Finance, general | 91B02 | 91B25 | Dynamic programming | Mean-variance | 91A80 | 91G80 | C73 | C72 | Bellman equation | 60J70 | G11 | Economic Theory/Quantitative Economics/Mathematical Methods | Time-inconsistency | G12 | Quantitative Finance | Equilibrium | 49L99 | 91A10 | Time-consistency | Statistics for Business/Economics/Mathematical Finance/Insurance | Hyperbolic discounting | Time-inconsistent control | 49N90 | Stochastic control | 91B51 | C61 | STATISTICS & PROBABILITY | MODEL | BUSINESS, FINANCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOCIAL SCIENCES, MATHEMATICAL METHODS | Markov processes | Business schools | Studies | Economic theory | Stochastic models | Markov analysis | Game theory

Probability Theory and Stochastic Processes | Mathematics | Finance, general | 91B02 | 91B25 | Dynamic programming | Mean-variance | 91A80 | 91G80 | C73 | C72 | Bellman equation | 60J70 | G11 | Economic Theory/Quantitative Economics/Mathematical Methods | Time-inconsistency | G12 | Quantitative Finance | Equilibrium | 49L99 | 91A10 | Time-consistency | Statistics for Business/Economics/Mathematical Finance/Insurance | Hyperbolic discounting | Time-inconsistent control | 49N90 | Stochastic control | 91B51 | C61 | STATISTICS & PROBABILITY | MODEL | BUSINESS, FINANCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOCIAL SCIENCES, MATHEMATICAL METHODS | Markov processes | Business schools | Studies | Economic theory | Stochastic models | Markov analysis | Game theory

Journal Article

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 01/2017, Volume 97, Issue 1, pp. 7 - 24

Airborne wind energy systems are capable of extracting energy from higher wind speeds at higher altitudes. The configuration considered in this paper is based...

pumping cycle | airborne wind energy | Quaternions | 49N90 | optimal control | tethered kite | kite power | MATHEMATICS, APPLIED | MECHANICS | FLIGHT | POWER | Wind power | Models | Economics | Wind energy | Pumping | Kites | Optimal control | Tethers | Mathematical models | Optimization

pumping cycle | airborne wind energy | Quaternions | 49N90 | optimal control | tethered kite | kite power | MATHEMATICS, APPLIED | MECHANICS | FLIGHT | POWER | Wind power | Models | Economics | Wind energy | Pumping | Kites | Optimal control | Tethers | Mathematical models | Optimization

Journal Article

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Optimal control approach to termination of re-entry waves in cardiac electrophysiology

Journal of Mathematical Biology, ISSN 0303-6812, 8/2013, Volume 67, Issue 2, pp. 359 - 388

This work proposes an optimal control approach for the termination of re-entry waves in cardiac electrophysiology. The control enters as an extracellular...

Cardiac arrhythmia | Mathematical and Computational Biology | Electrophysiology | Mathematics | 35K57 | 35K65 | Bidomain model | Finite element method | 49J20 | NCG algorithm | 49N90 | PDE constraint optimization | Applications of Mathematics | 92C30 | FIBRILLATION | MONODOMAIN | TISSUE | EQUATIONS | ACTION-POTENTIAL PROPAGATION | HEART | NUMERICAL-SOLUTION | CONDUCTIVITY | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | DEFIBRILLATION | Animals | Numerical Analysis, Computer-Assisted | Models, Cardiovascular | Heart - physiology | Finite Element Analysis | Cardiac Electrophysiology | Arrhythmias, Cardiac - physiopathology | Electrocardiography | Research | Biomathematics | Electrocardiogram | Differential equations | bidomain model | finite element method | electrophysiology | cardiac arrhythmia

Cardiac arrhythmia | Mathematical and Computational Biology | Electrophysiology | Mathematics | 35K57 | 35K65 | Bidomain model | Finite element method | 49J20 | NCG algorithm | 49N90 | PDE constraint optimization | Applications of Mathematics | 92C30 | FIBRILLATION | MONODOMAIN | TISSUE | EQUATIONS | ACTION-POTENTIAL PROPAGATION | HEART | NUMERICAL-SOLUTION | CONDUCTIVITY | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | DEFIBRILLATION | Animals | Numerical Analysis, Computer-Assisted | Models, Cardiovascular | Heart - physiology | Finite Element Analysis | Cardiac Electrophysiology | Arrhythmias, Cardiac - physiopathology | Electrocardiography | Research | Biomathematics | Electrocardiogram | Differential equations | bidomain model | finite element method | electrophysiology | cardiac arrhythmia

Journal Article