Identification of mechanical properties of arteries with certification of global optimality

DOI10.1007/s10898-021-01037-8zbMath1484.90085OpenAlexW3170813695MaRDI QIDQ2070372

Jan-Lucas Gade, Jonas Stålhand, Carl-Johan Thore

Publication date: 24 January 2022

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-021-01037-8

zbMATH Keywords

global optimizationbranch-and-boundarteryin vivo

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57) Nonconvex programming, global optimization (90C26)

Uses Software

• BARON
• Maple
• Matlab
• SCIP
• YALMIP
• Ipopt
• ANTIGONE

Cites Work

• Unnamed Item
• Unnamed Item
• Maple
• Jointly constrained bilinear programs and related problems: An overview
• A branch and contract algorithm for problems with concave univariate, bilinear and linear fractional terms
• Global minimum potential energy conformations of small molecules
• On the constitutive modelling of recruitment and damage of collagen fibres in soft biological tissues
• Finding all solutions of nonlinearly constrained systems of equations
• BARON: A general purpose global optimization software package
• Global optimization of nonlinear least-squares problems by branch-and-bound and optimality constraints
• Linearization of McCormick relaxations and hybridization with the auxiliary variable method
• ANTIGONE: algorithms for coNTinuous/Integer global optimization of nonlinear equations
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
• A new constitutive framework for arterial wall mechanics and a comparative study of material models