Mathematical foundations and biomechanics of the digestive system:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2010
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XX, 220 S. zahlr. graph. Darst. |
| ISBN: | 9780521116626 0521116627 |
Internformat
MARC
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| 245 | 1 | 0 | |a Mathematical foundations and biomechanics of the digestive system |c Roustem N. Miftahof ; Hong Gil Nam |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2010 | |
| 300 | |a XX, 220 S. |b zahlr. graph. Darst. | ||
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| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Gastrointestinal system |x Mathematical models | |
| 650 | 4 | |a Biomechanics | |
| 650 | 4 | |a Elastic plates and shells | |
| 650 | 4 | |a Gastrointestinal Tract |x physiology | |
| 650 | 4 | |a Computer Simulation | |
| 650 | 4 | |a Gastrointestinal Motility |x physiology | |
| 650 | 4 | |a Models, Biological | |
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Datensatz im Suchindex
| _version_ | 1806141787411054592 |
|---|---|
| adam_text |
Contents
Preface
page
xi
Notation
XV
Introduction
1
Exercises
4
The geometry of the surface
6
1.1
Intrinsic geometry
6
1.2
Extrinsic geometry
8
1.3
The equations of Gauss and
Codazzi
13
1.4
General curvilinear coordinates
15
1.5
Deformation of the surface
18
1.6
Equations of compatibility
22
Exercises
26
Parameterization of shells of complex geometry
28
2.1
Fictitious deformations
28
2.2
Parameterization of the equidistant surface
31
2.3
A single-function variant of the method of fictitious
deformation
33
2.4
Parameterization of a complex surface in preferred coordinates
37
2.5
Parameterization of complex surfaces on a plane
42
Exercises
46
Nonlinear theory of thin shells
47
3.1
Deformation of the shell
47
3.2
Forces and moments
50
3.3
Equations of equilibrium
55
Exercises
60
The continuum model of the biological tissue
61
4.1
Structure of the tissue
61
4.2
Biocomposite as a
mechanochemical continuum
62
vn
viii Contents
4.3
The biological factor
71
Exercises
74
5
Boundary conditions
76
5.1
The geometry of the boundary
76
5.2
Stresses on the boundary
78
5.3
Static boundary conditions
81
5.4
Deformations of the edge
84
5.5
Gauss-Codazzi
equations for the boundary
87
Exercises
88
6
Soft shells
89
6.1
Deformation of soft shell
89
6.2
Principal deformations
95
6.3
Membrane forces
97
6.4
Principal membrane forces
100
6.5
Corollaries of the fundamental assumptions
101
6.6
Nets
105
6.7
Equations of motion in general curvilinear coordinates
106
6.8
Governing equations in orthogonal Cartesian coordinates
109
6.9
Governing equations in cylindrical coordinates 111
Exercises
113
7
Biomechanics of the stomach
115
7.1
Anatomical and physiological background
115
7.2
Constitutive relations for the tissue
119
7.3
A one-dimensional model of gastric muscle
130
7.3.1
Myoelectrical activity
132
7.3.2
Decrease in external Ca2* concentration
133
7.3.3
Effects of T- and L-type Ca^-channel antagonists
134
7.3.4
Acetylcholine-induced myoelectrical responses
135
7.3.5
Effect of chloride-channel antagonist
136
7.3.6
Effect of selective
K+-channel
antagonist
136
7.4
The stomach as a soft biological shell
137
7.4.1
Inflation of the stomach
140
7.4.2
The electromechanical wave phenomenon
142
7.4.3
The chronaxiae of pacemaker discharges
145
7.4.4
Multiple pacemakers
147
7.4.5
Pharmacology of myoelectrical activity
155
Exercises
255
8
Biomechanics of the small intestine
157
8.1
Anatomical and physiological background
157
8.2
A one-dimensional model of intestinal muscle
158
Contents ix
8.2.1 Myoelectrical
activity
159
8.2.2
Effects of non-selective Ca^-channel agonists
160
8.2.3
Effects of Ca^-activated K+-channel agonist
160
8.2.4
Response to a selective K+-channel agonist
161
8.2.5
Effector selective K+-channel antagonist
163
8.2.6
Conjoint effect of changes in Ca2"1" dynamics and
extracellular K+ concentrations
164
8.3
The small intestine as a soft cylindrical shell
165
8.3.1
Pendular
movements
166
8.3.2
Segmentation
168
8.3.3
Peristaltic movements
173
8.3.4
Self-sustained periodic activity
173
8.3.5
Effect of lidocaine
177
Exercises
180
9
Biomechanics of the large intestine
182
9.1
Anatomical and physiological background
182
9.2
The colon as a soft shell
184
9.2.1
Haustral churning
187
9.2.2
Contractions of the teniae
coli
187
9.2.3
Peristalsis and propulsive movements
192
9.3
Pharmacology of
colonie
motility
192
9.3.1
Effect of Lotronex
192
9.3.2
Effect of Zelnorm
194
Exercises
194
10
Biological applications of mathematical modelling
196
10.1
Biomechanics of hollow abdominal viscera
196
10.2
Future developments and applications
201
Exercises
208
References
210
Index
217
Mathematical
modelling
of physiological systems
promises
to
advance our understanding of complex biological phenomena
and pathophysiologyofdiseases. in this book.theauthors
adopt a mathematical approach to characterize and explain
the functioningofthe gastrointestinal system. Usingthe
mathematical foundations of thin shell theory, the authors
patientlyand comprehensively guide the readerthrough the
fundamental theoretical concepts, via step-by-step derivations
and mathematical exercises,from basictheoryto 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 theeffectofdrugs to
treat motility disorders, with end-of-chapter problems, this book
is ideal for bioengineers and applied mathematicians.
Roustem N.Miftahof is Professor and Head of the Department of
Physiology atthe Arabian Gulf university, Manama, Bahrain. He
is a recognized leaderin the areas of applied mathematics and
gastrointestinal research, and has authored and co-authored
two previous books in these fields. He has worked in both
academia
and industry across Europe, America and Asia.
Hong Gil Nam is Professor at Pohang university of science and
Technology, Pohang, south Korea, Directorofthe National core
Research centre
forsystems
Bio-Dynamics and President ofthe
Association of Asian societies for Bioinformatics. Professor Nam
has received numerous awards for his research contributions and
he has made several media appearances in south Korea. |
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| discipline | Biologie Medizin |
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| id | DE-604.BV036675601 |
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| language | English |
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| spelling | Miftahof, Roustem N. 1957- Verfasser (DE-588)1207473669 aut Mathematical foundations and biomechanics of the digestive system Roustem N. Miftahof ; Hong Gil Nam 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2010 XX, 220 S. zahlr. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Mathematisches Modell Gastrointestinal system Mathematical models Biomechanics Elastic plates and shells Gastrointestinal Tract physiology Computer Simulation Gastrointestinal Motility physiology Models, Biological Biomechanik (DE-588)4006880-8 gnd rswk-swf Gastrointestinaltrakt (DE-588)4074445-0 gnd rswk-swf Biologisches Modell (DE-588)4726968-6 gnd rswk-swf Gastrointestinaltrakt (DE-588)4074445-0 s Biomechanik (DE-588)4006880-8 s Biologisches Modell (DE-588)4726968-6 s b DE-604 Nam, Hong Gil Verfasser aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020594591&sequence=000005&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020594591&sequence=000006&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Miftahof, Roustem N. 1957- Nam, Hong Gil Mathematical foundations and biomechanics of the digestive system Mathematisches Modell Gastrointestinal system Mathematical models Biomechanics Elastic plates and shells Gastrointestinal Tract physiology Computer Simulation Gastrointestinal Motility physiology Models, Biological Biomechanik (DE-588)4006880-8 gnd Gastrointestinaltrakt (DE-588)4074445-0 gnd Biologisches Modell (DE-588)4726968-6 gnd |
| subject_GND | (DE-588)4006880-8 (DE-588)4074445-0 (DE-588)4726968-6 |
| title | Mathematical foundations and biomechanics of the digestive system |
| title_auth | Mathematical foundations and biomechanics of the digestive system |
| title_exact_search | Mathematical foundations and biomechanics of the digestive system |
| title_full | Mathematical foundations and biomechanics of the digestive system Roustem N. Miftahof ; Hong Gil Nam |
| title_fullStr | Mathematical foundations and biomechanics of the digestive system Roustem N. Miftahof ; Hong Gil Nam |
| title_full_unstemmed | Mathematical foundations and biomechanics of the digestive system Roustem N. Miftahof ; Hong Gil Nam |
| title_short | Mathematical foundations and biomechanics of the digestive system |
| title_sort | mathematical foundations and biomechanics of the digestive system |
| topic | Mathematisches Modell Gastrointestinal system Mathematical models Biomechanics Elastic plates and shells Gastrointestinal Tract physiology Computer Simulation Gastrointestinal Motility physiology Models, Biological Biomechanik (DE-588)4006880-8 gnd Gastrointestinaltrakt (DE-588)4074445-0 gnd Biologisches Modell (DE-588)4726968-6 gnd |
| topic_facet | Mathematisches Modell Gastrointestinal system Mathematical models Biomechanics Elastic plates and shells Gastrointestinal Tract physiology Computer Simulation Gastrointestinal Motility physiology Models, Biological Biomechanik Gastrointestinaltrakt Biologisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020594591&sequence=000005&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020594591&sequence=000006&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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