Soft Biological Shells in Bioengineering

PRELIMS.pdf
Preface
Author biographies
Roustem N Miftahof
Nariman R Akhmadeev
Notations
Acronyms
CH001.pdf
Chapter 1 Geometry of the surface
1.1 Intrinsic geometry
1.2 Extrinsic geometry
1.3 Equations of Gauss and Codazzi
1.4 General curvilinear coordinates
1.5 Deformation of the surface
1.6 Equations of compatibility
Further reading
CH002.pdf
Chapter 2 Parameterization of shells of complex geometry
2.1 Fictitious deformations
2.2 Parameterization of the equidistant surface
2.3 A single function variant of the method of fictitious deformation
2.4 Parameterization of a complex surface in preferred coordinates
2.5 Parameterization of complex surfaces on a plane
Further reading
CH003.pdf
Chapter 3 Nonlinear theory of thin shells
3.1 Deformation of a shell
3.2 Forces and moments
3.3 Equations of equilibrium
Further reading
CH004.pdf
Chapter 4 Boundary conditions
4.1 Geometry of the boundary
4.2 Stresses on the boundary
4.3 Static boundary conditions
4.4 Deformations of the edge
4.5 Equations of Gauss–Codazzi for the boundary
Further reading
CH005.pdf
Chapter 5 Soft shells
5.1 Deformation of a soft shell
5.2 Principal deformations
5.3 Membrane forces
5.4 Principal membrane forces
5.5 Corollaries of the fundamental assumptions
5.6 Nets
5.7 Equations of motion in general curvilinear coordinates
Remarks
5.8 Governing equations in orthogonal Cartesian coordinates
5.9 Governing equations in cylindrical coordinates
Further reading
CH006.pdf
Chapter 6 A continuum model of biological tissue
6.1 Histomorphology of tissue
6.2 A biocomposite as a mechanochemical continuum
6.3 Biofactor Zij
Further reading
CH007.pdf
Chapter 7 Neurons and neuronal assemblies
7.1 The intrinsic regulatory system in the gut
7.2 Interstitial cells of Cajal
7.3 Electrical activity in neurons
7.4 Neuronal circuits
7.4.1 A neuronal network—ICC circuit
7.4.2 An inhibitory neuronal circuit
7.4.3 A neuronal network of excitable cells
Further reading
CH008.pdf
Chapter 8 Chemical synapse
8.1 A mathematical model
8.2 cAMP-dependent pathway
8.3 PLC-dependent pathway
8.4 Co-localization and co-transmission
Further reading
CH009.pdf
Chapter 9 Pharmacological modulations
9.1 Biological preliminaries
9.2 Modeling of competitive antagonist action
9.3 Modeling of allosteric interaction
9.4 Allosteric modulation of competitive agonist/antagonist action
9.5 Modeling of a PDE-5 inhibitor
Further reading
CH010.pdf
Chapter 10 The stomach
10.1 Anatomical considerations
10.2 Mechanical properties
10.3 Electromechanical phenomena
10.4 General model postulates
10.5 A functional unit
10.5.1 Mathematical model of SIP
10.5.2 Mathematical model of the SIP–ganglion unit
10.5.3 Self-oscillatory dynamics of SIP
10.5.4 Dynamics of the SIP–ganglion unit
10.6 Co-transmission in the SIP–ganglion unit
10.6.1 ACh and SP
10.6.2 NO and ACh
10.6.3 VIP, SP, ACh, and NO
10.6.4 ACh, 5-HT, and NO
10.6.5 Motilin, ACh, and NO
10.7 The stomach as a soft biological shell
10.8 Gastric accommodation
10.8.1 Gastric tone
10.8.2 Response to ‘feeding’
10.9 The intrinsic regulatory system
10.9.1 The ICC/PDGFRα+–MY(IM) network
10.9.2 MP–ICC/PDGFRα+–MY(IM) interactions
10.9.3 Slow wave and electromechanical activity
Further reading
CH011.pdf
Chapter 11 The small intestine
11.1 Anatomical and physiological considerations
11.2 General model postulates
11.3 Investigations into intestinal smooth muscle
11.3.1 Myoelectrical phenomena
11.3.2 Effects of a non-selective Ca2+ channel agonist
11.3.3 Effects of a Ca2+–K+ channel agonist
11.3.4 Effects of a selective K+ channel agonist
11.3.5 Effect of a selective K+ channel antagonist
11.3.6 Effects of changes in Ca2+ and K+ dynamics
11.4 The intestine as a soft biological shell
11.4.1 Pendular movements
11.4.2 Segmentation
11.4.3 Peristalsis
11.4.4 Self-sustained periodic activity
11.5 Pharmacology of intestinal motility
11.5.1 Effect of lidocaine
Further reading
CH012.pdf
Chapter 12 The large intestine (colon)
12.1 Anatomical and physiological considerations
12.2 The colon as a soft biological shell
12.2.1 Haustral churning
12.2.2 Contractions of the teniae coli
12.2.3 Peristalsis and propulsive movements
12.3 Pharmacology of colonic motility
12.3.1 Effect of Lotronex® on colonic propulsion
12.3.2 Effect of Zelnorm®
Further reading
CH013.pdf
Chapter 13 The gravid uterus
13.1 Anatomical considerations
13.2 A functional unit
13.3 Electrophysiological properties
13.4 Neuroendocrine modulators
13.5 Coupling phenomena
13.6 Crosstalk phenomena
13.7 Biological changes in the gravid uterus
13.8 Modeling of the gravid uterus
13.8.1 Biomechanical models
13.8.2 Models of myoelectrical activity
13.9 General model postulates
13.10 Investigations into the myometrium
13.10.1 Mathematical model of the myometrium
13.10.2 Physiological responses
13.10.3 Effects of changes in Ca02+
13.10.4 Effects of changes in K0+
13.10.5 Effects of changes in Cl0−
13.10.6 Effects of a T-type Ca2+ channel antagonist
13.10.7 Effects of L-type Ca2+ channel antagonists
13.10.8 Effects of BKCa channel antagonists
13.10.9 Effects of a K+ channel antagonist
13.10.10 Effects of a Cl− channel antagonist
13.11 Co-transmission in the myometrium
13.11.1 ACh and OT
13.11.2 ACh and AD
13.11.3 OT and AD
13.11.4 OT and prostaglandins
13.12 The gravid uterus as a soft biological shell
13.13 Investigations into the gravid human uterus
13.13.1 The uterus close to term
13.13.2 The first stage of labor
13.13.3 The second stage of labor
13.13.4 The third stage of labor
13.13.5 Constriction ring
13.13.6 Uterine dystocia
13.13.7 Hyper- and hypotonic uterine inertia
Further reading
CH014.pdf
Chapter 14 The urinary bladder
14.1 Anatomical considerations
14.2 The detrusor
14.2.1 Morphological consideration
14.2.2 Electromechanical activity
14.2.3 Pacemaker activity
14.3 The neurohormonal regulatory system
14.3.1 Anatomical considerations
14.3.2 Neurotransmission
14.3.3 Electrophysiology of neurons
14.4 Functional states in the bladder
14.4.1 Filling
14.4.2 Voiding
14.5 Biomechanics of the detrusor
14.6 Models of the bladder
14.7 General model postulates
14.8 Investigations into the detrusor
14.8.1 Mathematical model
14.8.2 Physiological responses
14.8.3 Effects of changes in K0+
14.8.4 Effects of L- and T-type Ca2+ channel antagonists
14.8.5 Effects of BKCa channel agonists/antagonists
14.8.6 Effects of K+ channel agonists/antagonists
14.8.7 Effects of Ca2+-ATPase inhibitors
14.9 Pharmacology of detrusor
14.9.1 Therapies of bladder dysfunction
14.9.2 Cholinergic antagonists/agonists
14.9.3 Inhibitors of catechol-O-methyltransferase
14.9.4 β-adrenoceptor antagonists
14.10 The urinary bladder as a soft biological shell
14.11 Investigations into the urinary bladder
14.11.1 Filling state
14.11.2 Voiding state
14.11.3 Pharmacology of voiding
Further reading
CH015.pdf
Chapter 15 Conclusion
Modeling and models in biomedicine