|
|
||
|
|
|
|
Using the mathematical foundations of thin shell theory, the authors patiently and comprehensively guide the reader through the fundamental theoretical concepts, via step-by-step derivations and mathematical exercises, from basic theory to complex physiological models. Applications to nonlinear problems related to the biomechanics of abdominal viscera and the theoretical limitations are discussed. Special attention is given to questions of complex geometry of organs, effects of boundary conditions on pellet propulsion, as well as to clinical conditions, e.g. functional dyspepsia, intestinal dysrhythmias and the effect of drugs to treat motility disorders.
Table of contents:
1. The geometry of the surface
2. Parameterization of shells of complex geometry
3. Nonlinear theory of thin shells
4. The continuum model of the biological tissue
5. Boundary conditions
6. Soft shells
7. Biomechanics of the stomach
8. Biomechanics of the small intestine
9. Biomechanics of the large intestine
10. Biological applications of mathematical modeling
Page 143 / 155