Theoretical models of skeletal muscle: biological and mathematical considerations
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester [u.a.]
Wiley
1998
|
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 238 S. graph. Darst. |
| ISBN: | 0471969559 |
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MARC
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Contents
Preface ix
Introduction xi
Part One
Foundations
1 Basic introduction to skeletal muscle 3
1.1 General considerations 3
1.2 Muscle structure 3
1.3 Muscle force control 9
1.4 Energy considerations 16
1.5 Types of contractions 18
1.6 How does a muscle produce force? 19
Problems 20
References 21
2 Modelling skeletal muscle using simple geometric shapes: 23
biological considerations
2.1 Introduction 23
2.2 Shapes 24
2.3 Contractile element properties 25
2.4 Angle of pinnation 48
2.5 Passive element properties 52
Problems 57
References 64
3 Hill and Huxley type models: biological considerations 70
3.1 Introduction 70
3.2 Hill type models 70
3.3 Huxley (cross-bridge) type models 75
Problems 84
References 84
li 1
}
vi Contents
4 Rheological and structural models: mathematical considerations 87
4.1 Rheological models 87
4.2 Structural models 101
Problems 109 i
References 110 j
s
Part Two
Applications I
5 Fundamentals of mechanics 115
5.1 Introduction 115
5.2 Coordinates, displacement, and elongation 118
5.3 Rates and virtual displacements 123
5.4 External and internal forces 124
5.5 The constitutive equation 127
5.6 The principle of virtual work 128
5.7 Example: a one-degreee-of-freedom system 131
5.8 A more general example 134
5.9 Geometric constraints 136
5.10 Example: preservation of area 138
Problems 144
References 144
6 Towards a complete muscle model 145
6.1 Introduction 145
6.2 A program for static analysis of skeletal muscle 146
6.3 Example: static deformation of a cat medial gastrocnemius muscle 148
6.4 Time-dependent modelling 150
6.5 A program for time-dependent analysis of skeletal muscle 151
6.6 Example: time-dependent deformation of a cat medial 152
gastrocnemius muscle
References 152
7 Movement control 153
7.1 Introduction 153
7.2 The neurophysiology of movement control 153
7.3 The anatomy of movement control 157
7.4 Theoretical and experimental considerations on movement control 160
7.5 Future research in the area of mechanics in movement control 171
References 172
Appendix A: Topics in time-independent modelling 174
A.I Solving nonlinear problems 174
A.2 A code for the Newton-Raphson technique 176
Contents vii
! A.3 Obtaining the residuals and derivatives directly from virtual work 177
} A.4 A linear solver 179
; A.5 Coding the virtual work 181
I A.6 Coding the equilibrium and constraint equations directly 184
j A.7 Putting it all together: a program for static analysis of 187
j skeletal muscle
I A.8 Example: static deformation of a cat medial gastrocnemius muscle 195
A.9 A variant of the previous example 199
Appendix B: Topics in time-dependent modelling 202
B.I The finite-difference method 202
B.2 Example: dynamics of a one-degree-of-freedom system by 204
central differences
B.3 Time-dependent problems: implicit methods 206
B.4 Example: a two-degrees-of-freedom system 212
B.5 A program for time-dependent analysis of skeletal muscle 215
B.6 Example: time-dependent deformation of a cat medial 225
gastrocnemius muscle
References 233
Index 235
|
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| dewey-ones | 611 - Human anatomy, cytology, histology |
| dewey-raw | 611.0186 |
| dewey-search | 611.0186 |
| dewey-sort | 3611.0186 |
| dewey-tens | 610 - Medicine and health |
| discipline | Biologie Medizin |
| format | Book |
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| indexdate | 2024-07-09T22:28:14Z |
| institution | BVB |
| isbn | 0471969559 |
| language | English |
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| spelling | Epstein, Marcelo Verfasser aut Theoretical models of skeletal muscle biological and mathematical considerations Marcelo Epstein and Walter Herzog Chichester [u.a.] Wiley 1998 XIV, 238 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Herzog, Walter Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019812259&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Epstein, Marcelo Herzog, Walter Theoretical models of skeletal muscle biological and mathematical considerations |
| title | Theoretical models of skeletal muscle biological and mathematical considerations |
| title_auth | Theoretical models of skeletal muscle biological and mathematical considerations |
| title_exact_search | Theoretical models of skeletal muscle biological and mathematical considerations |
| title_full | Theoretical models of skeletal muscle biological and mathematical considerations Marcelo Epstein and Walter Herzog |
| title_fullStr | Theoretical models of skeletal muscle biological and mathematical considerations Marcelo Epstein and Walter Herzog |
| title_full_unstemmed | Theoretical models of skeletal muscle biological and mathematical considerations Marcelo Epstein and Walter Herzog |
| title_short | Theoretical models of skeletal muscle |
| title_sort | theoretical models of skeletal muscle biological and mathematical considerations |
| title_sub | biological and mathematical considerations |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019812259&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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