Index
A
Acceleration, 56–58
Actin, 6
Actomyosin contraction, 405
Actomyosin fibers, 464
Adherens junctions, 403
AIP, see Anterior intestinal portal (AIP)
AIS, see Anterior intraencephalic sulcus (AIS)
Alternative remodeling theory
recruitment stretch, 383
Aneurysm, 233, 344, 371, 379–383
Angiogenesis, 503
Angular momentum, 114–117
Anterior intestinal portal (AIP), 444–448, 451
Anterior intraencephalic sulcus (AIS), 465,
466
Apical constriction, 406, 436, 438, 459, 488,
489
Apical contraction, 433, 434, 437, 456, 461,
490, 498
Apoptosis, 462, 463, 493
Archenteron, 436
Arteries, functional adaptation
contraction law, 332
fluid shear stress, 322
growth laws, 317–318
homeostatic state, 328
opening angles, 329–331
perturbed pressure and flow, 329
Poiseuille formula, 315
residual stress, 329–331
smooth muscle, 316
Arteries growth and remodeling
aneurysm, 379–383
residual stress and opening angles, 371–378
Axons, 11
Axon tension hypothesis, 479
B
Balance laws
angular momentum, 114–117
balance of mass, 104–109
energy (see Energy balance)
entropy, 126–129
linear momentum, 109–114
Balance of mass
continuity equation
1D, 104–105
3D, 105–109
Basal expansion, 406, 456, 489
Base vectors, 22–23, 28–30, 34–42, 47, 435
Beam theory
bending, 410
boundary conditions, 413–414
equilibrium, 412–413
force and moment resultants, 411–412
fourth-order beam equation, 413
growing beam, 409
growth force, 412
growth moment, 412
kinematics, 410–411
Bending morphogenesis
apical constriction, 406
basal expansion, 406
cell wedging, 406
differential expansion, 406
Biaxial extension, 163–166
Bifurcation, 471, 474, 503
Biomechanics, 1–2
© Springer Nature Switzerland AG 2020
L. A. Taber, Continuum Modeling in Mechanobiology,
https://doi.org/10.1007/978-3-030-43209-6
527
A
Acceleration, 56–58
Actin, 6
Actomyosin contraction, 405
Actomyosin fibers, 464
Adherens junctions, 403
AIP, see Anterior intestinal portal (AIP)
AIS, see Anterior intraencephalic sulcus (AIS)
Alternative remodeling theory
recruitment stretch, 383
Aneurysm, 233, 344, 371, 379–383
Angiogenesis, 503
Angular momentum, 114–117
Anterior intestinal portal (AIP), 444–448, 451
Anterior intraencephalic sulcus (AIS), 465,
466
Apical constriction, 406, 436, 438, 459, 488,
489
Apical contraction, 433, 434, 437, 456, 461,
490, 498
Apoptosis, 462, 463, 493
Archenteron, 436
Arteries, functional adaptation
contraction law, 332
fluid shear stress, 322
growth laws, 317–318
homeostatic state, 328
opening angles, 329–331
perturbed pressure and flow, 329
Poiseuille formula, 315
residual stress, 329–331
smooth muscle, 316
Arteries growth and remodeling
aneurysm, 379–383
residual stress and opening angles, 371–378
Axons, 11
Axon tension hypothesis, 479
B
Balance laws
angular momentum, 114–117
balance of mass, 104–109
energy (see Energy balance)
entropy, 126–129
linear momentum, 109–114
Balance of mass
continuity equation
1D, 104–105
3D, 105–109
Basal expansion, 406, 456, 489
Base vectors, 22–23, 28–30, 34–42, 47, 435
Beam theory
bending, 410
boundary conditions, 413–414
equilibrium, 412–413
force and moment resultants, 411–412
fourth-order beam equation, 413
growing beam, 409
growth force, 412
growth moment, 412
kinematics, 410–411
Bending morphogenesis
apical constriction, 406
basal expansion, 406
cell wedging, 406
differential expansion, 406
Biaxial extension, 163–166
Bifurcation, 471, 474, 503
Biomechanics, 1–2
© Springer Nature Switzerland AG 2020
L. A. Taber, Continuum Modeling in Mechanobiology,
https://doi.org/10.1007/978-3-030-43209-6
527