Preface
Notations
Abbreviations
Introduction
Chapter 1. Biological Preliminaries
1.1 Anatomy and physiological background
1.2 Smooth muscle syncytia 1.3 Regulatory system
1.4 Electrophysiology of the stomach
1.5 Neuroendocrine modulators
1.6 Coupling phenomenon
1.7 Biomechanics of the human stomach
Chapter 2. Biomechanics of the Human Stomach
2.1 Constitutive relations for the tissue 2.2 Models of the human stomach
2.3 Models of myoelectrical activity
Chapter 3. Geometry of the Surface
3.1 Intrinsic geometry
3.2 Extrinsic geometry 3.3 Equations of Gauss and Codazzi
3.4 General curvilinear coordinates
3.5 Deformation of the surface
3.6 Equations of compatibility
Chapter 4. Parameterization of Shells of Complex Geometry
4.1 Fictitious deformations
4.2 Parameterization of the equidistant surface
4.3 A single function variant of the method of fictitious deformation
4.4 Parameterization of a complex surface in preferred coordinates
4.5 Parameterization of complex surfaces on plane
Chapter 5. Nonlinear Theory of Thin Shells
5.1 Deformation of the shell 5.2 Forces and moments
5.3 Equations of equilibrium
Chapter 6. Continuum Model of the Biological Tissue
6.1 Biocomposite as a mechanochemical continuum
6.2 Biological factor
6.3 Mechanical properties of the human stomach
6.3.1 Uniaxial loading
6.3.2 Biaxial loading
6.3.3 Histomorphological changes in the tissue under loading
6.3.4 Active forces
Chapter 7. Boundary Conditions
7.1 Geometry of the boundary
7.2 Stresses on the boundary
7.3 Static boundary conditions
7.4 Deformations of the edge
7.5 Equations of Gauss-Codazzi for the boundary
Chapter 8. Soft Shells
8.1 Deformations of soft shell
8.2
About the Author: Professor Dr. Roustem Miftahof, MD, PhD, DSc is the Chair of Computational Biology and Medicine Centre in the College of Medicine and Medical Sciences at Arabian Gulf University in Manama, Bahrain. He earned the Doctor of Medicine degree with Honors in 1980 and the degree in Applied Mathematics with Honors in 1981. His PhD in Mathematical and Physical Sciences was related to Numerical simulation of stress-strain distribution in the human stomach and his DSc in Technical Sciences (post-habilitation dissertation) was on Peristaltic waves in biological shells.
