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Preface; Contents; Notations; Abbreviations; Chapter 1: Geometry of the Surface; 1.1 Anatomical and Morphological Considerations; 1.2 Intrinsic Geometry; 1.3 Extrinsic Geometry; 1.4 Equations of Gauss and Codazzi; 1.5 General Curvilinear Coordinates; 1.6 Deformation of the Surface; 1.7 Equations of Compatibility; References; 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 Coordinates2.5 Parameterization of Complex Surfaces on Plane; Reference; Chapter 3: Nonlinear Theory of Thin Shells; 3.1 Deformation of the Shell; 3.2 Forces and Moments; 3.3 Equations of Equilibrium; References; Chapter 4: Soft Shells; 4.1 Deformation of Soft Shell; 4.2 Principal Deformations; 4.3 Membrane Forces; 4.4 Principal Membrane Forces; 4.5 Corollaries of the Fundamental Assumptions; 4.6 Nets; 4.7 Equations of Motion in General Curvilinear Coordinates; 4.8 Governing Equations in Orthogonal Cartesian Coordinates; Reference

Chapter 5: Boundary Conditions5.1 Geometry of the Boundary; 5.2 Stresses on the Boundary; 5.3 Static Boundary Conditions; 5.4 Deformations of the Edge; 5.5 Equations of Gauss-Codazzi for the Boundary; Chapter 6: Continuum Model of the Biological Tissue; 6.1 The Gastric Wall as a Mechanochemical Continuum; 6.2 Biological Factor; 6.3 Constitutive Relations for the Human Gastric Tissue; 6.3.1 Uniaxial Tensile Characteristics; 6.3.2 Histomorphological Analysis of Changes in the Tissue During Uniaxial Loading; 6.3.3 Biaxial Tensile Characteristics; 6.3.4 Active Forces; References

Chapter 7: Signal Transduction Mechanisms7.1 Biological Preliminaries; 7.2 System Compartmentalization; 7.3 cAMP-Dependent Pathway; 7.4 PLC Pathway; 7.5 Co-transmission by Multiple Neurotransmitters; References; Chapter 8: Intrinsic Regulatory and Effector Systems; 8.1 Nervous and Interstitial Cell Plexi; 8.2 Smooth Muscle; 8.3 Modeling of Electrical Activity of Cells; 8.4 Electrical Activity of Neurons and ICC; 8.5 Electrical Activity of SIP; 8.6 Electromyogenic Circuits; 8.6.1 An Inhibitory Neuronal Circuit; 8.6.2 SIP-Mechanosensory-Motor Neuron Circuit; 8.6.3 A Network of Excitable Cells

This book concerns the mathematical modeling and computer simulation of the human stomach. It follows the four modern P's (prevention, prediction, personalization, and precision in medicine) approach in addressing the highly heterogeneous nature of processes underlying gastric motility disorders manifested as gastroparesis, functional dyspepsia, myenteric enteropathy etc. The book comprehensively guides readers through the fundamental theoretical concepts to complex physiological models of the organ. This requires a deep and thorough understanding of driving pathophysiological mechanisms as well as the collaborative effort of specialists working in fundamental and biological science. Such a multidisciplinary partnership is vital because it upholds gnostic capabilities and provides the exchange of thoughts and ideas thus offering broad perspectives into the evolution and management of diseases. The book is a valuable resource for applied mathematicians, computational biologists, bioengineers, physicians, physiologists and researchers working in various fields of biomedicine.

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