65 citations · 121 across the 14 of their papers we have counts for
14 papers
A voxelized immersed boundary (VIB) finite element method for accurate and efficient blood flow simulation
G. C. Bourantas, B. F. Zwick, D. S. Lampropoulos +6
We present an efficient and accurate immersed boundary (IB) finite element (FE) method for internal flow problems with complex geometries (e.g., blood flow in the vascular system).…
Random boundaries: quantifying segmentation uncertainty in solutions to boundary-value problems
S. Gerry Gralton, Farah Alkhatib, Ben Zwick +3
Engineering simulations using boundary-value partial differential equations often implicitly assume that the uncertainty in the location of the boundary has a negligible impact on…
Automated modeling of brain bioelectric activity within the 3D Slicer environment
Saima Safdar, Benjamin Zwick, George Bourantas +5
Electrocorticography (ECoG) or intracranial electroencephalography (iEEG) monitors electric potential directly on the surface of the brain and can be used to inform treatment plann…
Generation of Patient-specific Structured Hexahedral Mesh of Aortic Aneurysm Wall
Farah Alkhatib, George C. Bourantas, Adam Wittek +1
Abdominal Aortic Aneurysm (AAA) is an enlargement in the lower part of the main artery Aorta by 1.5 times its normal diameter. AAA can cause death if rupture occurs. Elective surge…
Recovery by discretization corrected particle strength exchange (DC PSE) operators
Benjamin F. Zwick, George C. Bourantas, Farah Alkhatib +2
A new recovery technique based on discretization corrected particle strength exchange (DC PSE) operators is developed in this paper. DC PSE is a collocation method that can be used…
Patient-specific solution of the electrocorticography forward problem in deforming brain
Benjamin F. Zwick, George C. Bourantas, Saima Safdar +5
Invasive intracranial electroencephalography (iEEG) or electrocorticography (ECoG) measures electric potential directly on the surface of the brain and can be used to inform treatm…
Immersed boundary finite element method for blood flow simulation
G. C. Bourantas, D. L. Lampropoulos, B. F. Zwick +3
We present an efficient and accurate immersed boundary (IB) finite element (FE) solver for numerically solving incompressible Navier--Stokes equations. Particular emphasis is given…
Simple and robust element-free Galerkin method with interpolating shape functions for finite deformation elasticity
George Bourantas, Benjamin F. Zwick, Grand Joldes +2
In this paper, we present a meshless method belonging to the family of element-free Galerkin (EFG) methods. The distinguishing feature of the presented meshless method is that it a…
Mathematical Modeling and Computer Simulation of Needle Insertion into Soft Tissue
Adam Wittek, George Bourantas, Benjamin F. Zwick +3
In this study we present a kinematic approach to modeling needle insertion into soft tissues. The kinematic approach allows the presentation of the problem as Dirichlet-type (i.e.…
An explicit meshless point collocation solver for incompressible Navier-Stokes equations
George C. Bourantas, Benjiamin F. Zwick, Grand R. Joldes +4
We present a strong form, meshless point collocation explicit solver for the numerical solution of the transient, incompressible, viscous Navier-Stokes (N-S) equations in two dimen…
Cell-based Maximum Entropy Approximants for Three Dimensional Domains: Application in Large Strain Elastodynamics using the Meshless Total Lagrangian Explicit Dynamics Method
Konstantinos A. Mountris, George C. Bourantas, Daniel Millán +4
We present the Cell-based Maximum Entropy (CME) approximants in E3 space by constructing the smooth approximation distance function to polyhedral surfaces. CME is a meshfree approx…
Wall Stress Distributions in Abdominal Aortic Aneurysms Do Not Correlate With Symptoms
Karol Miller, Hozan Mufty, Alastair Catlin +8
Abdominal aortic aneurysm (AAA) is a permanent and irreversible dilation of the lower region of the aorta. It is typically an asymptomatic condition that if left untreated can expa…
Biomechanical modeling and computer simulation of the brain during neurosurgery
K. Miller, G. R. Joldes, G. Bourantas +4
Computational biomechanics of the brain for neurosurgery is an emerging area of research recently gaining in importance and practical applications. This review paper presents the c…
Suite of Meshless Algorithms for Accurate Computation of Soft Tissue Deformation for Surgical Simulation
Grand Joldes, George Bourantas, Benjamin Zwick +7
The ability to predict patient-specific soft tissue deformations is key for computer-integrated surgery systems and the core enabling technology for a new era of personalized medic…