Index
349
Dynamic relaxation (DR) algorithm, 252–257
convergence, 252, 253
Gershgorin’s theorem, 254
mass matrix, 252, 254
mass proportional damping, 252
maximum eigenvalue Am, 254
minimum eigenvalue A0, 255–256
Rayleigh’s quotient, 255
steady state computation, 264–266
termination criteria, 256–257
E
Elastance coefficient (E), 190
Elastic jump hypothesis, 229
Electroencephalography (EEG), 49–51
Electrophysiological brain imaging techniques
clinical applications, 60
electroencephalography, 49–51
intracranial EEG, 51–52
magnetoencephalography, 49–51
simultaneous fMRI and EEG, 51
Ellipsoid, deformations of, 265
Endoscopic third ventriculostomy (ETV), 206,
226
Epidural hematoma (EPH), 121
Epilepsy
EEG, 60
intra operative deformation model,
167–168
MRI, 55
neuronavigation surgery, 166–167
PET, 60
See also Biomechanical model
Event-related potentials (ERPs), 50–51
Extent of resection (EOR), 303, 308
External hydrocephalus vs. subdural hygroma,
183–184
F
FDG-PET, 60–61
F-18 flumazenil PET, 61
F-18 fluoroethyl tyrosine, 61
Fibre tractography, 49, 59
Finite element (FE) algorithms, for
computational biomechanics
brain-skull interactions for image-guided
neurosurgery, 258–259
element formulations, 257–258
for injury, 246–249
for neurosurgery modelling, 251–257
non-linear formulation, 244–245
real-time computations without
supercomputers, 259–260
for surgery simulation, 249–347
verification, 260–267
Finite element (FE) meshing, 170–172
Finite element (FE) model, 1
acute subdural hematoma, 121
anatomical feature selection
acute subdural hematoma, 110
axonal tracts, 109, 110
bony skull, 106–107
cerebral ventricular system, 108
cranial meninges, 107–108
diffusion tensor imaging, 109
mechanical property data, 109
MRI, 108–109
neuronal tissue, 109
parasagittal bridging veins, 110
vasculature system, 111
animal experiments, 125
boundary conditions, 117
cavitation-induced injury, 118–119
cerebral contusion, 118
computational human model, 126
diffuse axonal injury, 119–120
financial resources, 124–125
numerical convergence and hourglass
energy, 115–117
open-and closed-head injury, 118
prediction power of model, 125
quality of mesh, 112–115
traditional human head model, 126
traumatic brain injuries
coarse-mesh model, 102
developed and validated model, 102
epidural hematoma, 121
experimental data acquisition, 121–122
human and animal models, 101
injury data for model validations,
104–105
large-scale experimental study, 103
linear and angular kinematic data, 103
numerical models, 101
proven injury mechanism lack,
105–106
subarachnoid hematoma, 121
sufficient biomechanical lack, 104–105
Fluid-attenuated inversion recovery (FLAIR),
55
Fluid-structure interaction (FSI), 226, 230
Flumazenil, 61
Fluorine-18 (F-18), 52
Fourier decomposition, 222
349
Dynamic relaxation (DR) algorithm, 252–257
convergence, 252, 253
Gershgorin’s theorem, 254
mass matrix, 252, 254
mass proportional damping, 252
maximum eigenvalue Am, 254
minimum eigenvalue A0, 255–256
Rayleigh’s quotient, 255
steady state computation, 264–266
termination criteria, 256–257
E
Elastance coefficient (E), 190
Elastic jump hypothesis, 229
Electroencephalography (EEG), 49–51
Electrophysiological brain imaging techniques
clinical applications, 60
electroencephalography, 49–51
intracranial EEG, 51–52
magnetoencephalography, 49–51
simultaneous fMRI and EEG, 51
Ellipsoid, deformations of, 265
Endoscopic third ventriculostomy (ETV), 206,
226
Epidural hematoma (EPH), 121
Epilepsy
EEG, 60
intra operative deformation model,
167–168
MRI, 55
neuronavigation surgery, 166–167
PET, 60
See also Biomechanical model
Event-related potentials (ERPs), 50–51
Extent of resection (EOR), 303, 308
External hydrocephalus vs. subdural hygroma,
183–184
F
FDG-PET, 60–61
F-18 flumazenil PET, 61
F-18 fluoroethyl tyrosine, 61
Fibre tractography, 49, 59
Finite element (FE) algorithms, for
computational biomechanics
brain-skull interactions for image-guided
neurosurgery, 258–259
element formulations, 257–258
for injury, 246–249
for neurosurgery modelling, 251–257
non-linear formulation, 244–245
real-time computations without
supercomputers, 259–260
for surgery simulation, 249–347
verification, 260–267
Finite element (FE) meshing, 170–172
Finite element (FE) model, 1
acute subdural hematoma, 121
anatomical feature selection
acute subdural hematoma, 110
axonal tracts, 109, 110
bony skull, 106–107
cerebral ventricular system, 108
cranial meninges, 107–108
diffusion tensor imaging, 109
mechanical property data, 109
MRI, 108–109
neuronal tissue, 109
parasagittal bridging veins, 110
vasculature system, 111
animal experiments, 125
boundary conditions, 117
cavitation-induced injury, 118–119
cerebral contusion, 118
computational human model, 126
diffuse axonal injury, 119–120
financial resources, 124–125
numerical convergence and hourglass
energy, 115–117
open-and closed-head injury, 118
prediction power of model, 125
quality of mesh, 112–115
traditional human head model, 126
traumatic brain injuries
coarse-mesh model, 102
developed and validated model, 102
epidural hematoma, 121
experimental data acquisition, 121–122
human and animal models, 101
injury data for model validations,
104–105
large-scale experimental study, 103
linear and angular kinematic data, 103
numerical models, 101
proven injury mechanism lack,
105–106
subarachnoid hematoma, 121
sufficient biomechanical lack, 104–105
Fluid-attenuated inversion recovery (FLAIR),
55
Fluid-structure interaction (FSI), 226, 230
Flumazenil, 61
Fluorine-18 (F-18), 52
Fourier decomposition, 222