Ion transport through biological membranes: an integrated theoretical approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1975
|
| Series: | Lecture notes in biomathematics
7 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 240 S. Ill., graph. Darst. |
| ISBN: | 3540075321 0387075321 |
Staff View
MARC
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| 245 | 1 | 0 | |a Ion transport through biological membranes |b an integrated theoretical approach |c Michael C. Mackey |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1975 | |
| 300 | |a IX, 240 S. |b Ill., graph. Darst. | ||
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| 490 | 1 | |a Lecture notes in biomathematics |v 7 | |
| 650 | 4 | |a Membranes (Biologie) - Modèles mathématiques | |
| 650 | 4 | |a Transport biologique - Modèles mathématiques | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Biological Transport | |
| 650 | 4 | |a Biological transport |x Mathematical models | |
| 650 | 4 | |a Cell Membrane Permeability | |
| 650 | 4 | |a Ions |x metabolism | |
| 650 | 4 | |a Membranes (Biology) |x Mathematical models | |
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Record in the Search Index
| _version_ | 1804116406127558656 |
|---|---|
| adam_text | IMAGE 1
TABLE OF CONTENTS
PART I. INTRODUCTION 1
CHAPTER 1. BASIC MEMBRANE STRUCTURE AND ELECTRICAL PROPERTIES 5
A. SOME SIMPLE CONCEPTS ABOUT MEMBRANE STRUCTURE 5
B. THE GENERAL NATURE OF MEMBRANE ELECTRICAL PROPERTIES 7
CHAPTER 2. PASSIVE ELECTRICAL PROPERTIES OF AXONS 12
A. NON-MYELINATED FIBRES 12
B. MYELINATED FIBRES 18
CHAPTER 3. OVERVIEW OF THE GROSS PROPERTIES OF EXCITABLE CELLS 27
A. THE MEMBRANE THEORY OF EXCITATION AND PROPAGATION 27
B. STRENGTH-DURATION RELATION, ACCOMODATION.. 30 C. REFRACTORY STATES
AND FIRING FREQUENCY.... 34
D. AXONAL CHARACTERISTICS AND ACTION POTENTIAL PROPAGATION 35
CHAPTER 4. THE HODGKIN-HUXLEY AXON 42
A . VOLTAGE CLAMPING 42
B. IONIC CURRENT FLOW AS REVEALED BY THE
VOLTAGE CLAMP 44
C. EMPIRICAL FORMULAE FOR THE CONDUCTANCES... 49
D. RECONSTRUCTION OF THE ACTION POTENTIAL.... 50
CHAPTER 5. CURRENT LEVELS OF KNOWLEDGE ABOUT THE EARLY AND LATE CURRENT
FLOW PATHWAYS 51
A. THE ACTION OF TETRODOTOXIN (TTX) 51
B. THE ACTION OF TETRAETHYLAMMONIUM ION (TEA) 54
C. IONIC STRENGTH EFFECTS ON THE KINETIC PARAMETERS OF EXCITATION 54
D. THE EFFECT OF CALCIUM ON THE MEMBRANE 56
E . THE EFFECTS OF PH CHANGES 57
F. CATION SELECTIVE PROPERTIES OF THE MEM- BRANE AT REST AND DURING
EXCITATION 57
G. KINETIC BEHAVIOUR IN THE K CHANNEL 59
H. HIGH POTASSIUM EFFECTS ON THE K CHANNEL
CURRENT-VOLTAGE CURVE 59
I. THE NATURE OF THE LEAKAGE PATHWAY 60
PART II. CLASSICAL ELECTRODIFFUSION THEORIES OF MEMBRANE ELECTRICAL
PROPERTIES 63
CHAPTER 6. CONSERVATION AND FIELD EQUATIONS 65
IMAGE 2
CHAPTER 7. THE STEADY STATE PROBLEM : APPROXIMATE
SOLUTIONS 72
A. C O N S T A NT F I E LD A P P R O X I M A T I ON 73
B. THE MICROSCOPIC ELECTRONEUTRALITY APPROXIMATION 78
CHAPTER 8. ACTIVE TRANSPORT AND THE MAINTENANCE OF TRANSMEMBRANE IONIC
DISTRIBUTIONS 84 A. GENERAL CHARACTERISTICS OF ACTIVE TRANSPORT SYSTEMS
85
B. THE CONSEQUENCES OF INCLUDING ACTIVE TRANSPORT OF NA +AND K+IN STEADY
STATE ELECTRODIFFUSION 90
C. ACTIVE TRANSPORT AND THE RECOVERY FROM EXCITATION 96
CHAPTER 9. ADMITTANCE PROPERTIES OF THE ELECTRO- DIFFUSION EQUATIONS 103
A . ANA LY S IS 106
B. THE BEHAVIOUR OF THE TRANSFORMED MEMBRANE ADMITTANCE 108
C. QUANTITATIVE COMPARISONS WITH DATA 112
CHAPTER 10. THE STEADY STATE AGAIN: APPROXIMATIONS TO INVESTIGATE THE
ROLE OF MEMBRANE FIXED CHARGE 116
A. VOLUME CHARGE CONSIDERATIONS 116 B . SURFACE CHARGE EFFECTS . 121
PART III. A MOLECULAR TREATMENT OF TRANS MEMBRANE ION MOVEMENT 129
CHAPTER 11. MATHEMATICAL FORMULATION OF THE MODEL 133 A. THE CONCEPT OF
THE DISTRIBUTION FUNCTION. . 133
B. THE RELATION OF SOME MACROSCOPIC QUANTITIES TO THE DISTRIBUTION
FUNCTION.. 134 C. THE DERIVATION OF AN EQUATION OF CHANGE FOR THE
DISTRIBUTION FUNCTION 136 D. THE DYNAMICS OF A BINARY COLLISION 138 E.
EVALUATION OF THE BOLTZMANN EQUATION
COLLISION TERM 141
F. SIMPLIFICATION OF THE BOLTZMANN EQUATION. 143 G. DEPENDENCE OF THE
COLLISION FREQUENCY, 1 , ON V 152
H. EXPRESSIONS FOR MACROSCOPIC QUANTITIES FROM THE EXPANDED DISTRIBUTION
FUNCTION.. 156 I . S UMMARY 157
IMAGE 3
CHAPTER 12. RELATIONSHIP BETWEEN THE MICROSCOPIC AND
MACROSCOPIC FORMULATIONS OF ELECTRO- DIFFUSION THEORY 161
A . CONSERVATION EQUATIONS 161
B. RELATION TO ELECTRODIFFUSION 164
CHAPTER 13. THE MICROSCOPIC MODEL IN A STEADY STATE : NO CONCENTRATION
GRADIENTS 168
A. SPATIAL GRADIENTS IN A STEADY STATE 168 B. SOLUTIONS OF THE KINETIC
EQUATIONS FOR A DC FIELD 169
C. ANALYTIC BEHAVIOUR OF THE CURRENT DENSITY AS A FUNCTION OF ELECTRIC
FIELD STRENGTH 171
D. COMPUTED BEHAVIOUR OF I (E) AND G (IF) 174
E. ESTIMATION OF SOME MEMBRANE RELATED QUANTITIES 193
CHAPTER 14. THE STEADY STATE MICROSCOPIC MODEL WITH SOLUTION ASYMMETRY
199
A. SOLUTION OF THE KINETIC EQUATIONS 199
B. A GENERALIZED GOLDMAN EQUATION 201
C. COMPUTED PROPERTIES OF THE MODEL 204
D. ONE WAY FLUXES AND THE INDEPENDENCE PRINCIPLE 209
CHAPTER 15. STEADY STATE AND DYNAMIC PROPERTIES OF
THE MACROSCOPIC MODEL 217
REFERENCES 229
APPENDIX 1 239
APPENDIX 2 240
|
| any_adam_object | 1 |
| author | Mackey, Michael C. 1942- |
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| dewey-ones | 574 - [Unassigned] |
| dewey-raw | 574.8/75 |
| dewey-search | 574.8/75 |
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| discipline | Biologie Chemie Mathematik |
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| indexdate | 2024-07-09T15:38:00Z |
| institution | BVB |
| isbn | 3540075321 0387075321 |
| language | English |
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| series | Lecture notes in biomathematics |
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| spelling | Mackey, Michael C. 1942- Verfasser (DE-588)170722910 aut Ion transport through biological membranes an integrated theoretical approach Michael C. Mackey Berlin [u.a.] Springer 1975 IX, 240 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in biomathematics 7 Membranes (Biologie) - Modèles mathématiques Transport biologique - Modèles mathématiques Mathematisches Modell Biological Transport Biological transport Mathematical models Cell Membrane Permeability Ions metabolism Membranes (Biology) Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Ionentransport (DE-588)4162351-4 gnd rswk-swf Biomembran (DE-588)4006884-5 gnd rswk-swf Biomembran (DE-588)4006884-5 s Ionentransport (DE-588)4162351-4 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Lecture notes in biomathematics 7 (DE-604)BV005875746 7. SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001280257&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mackey, Michael C. 1942- Ion transport through biological membranes an integrated theoretical approach Lecture notes in biomathematics Membranes (Biologie) - Modèles mathématiques Transport biologique - Modèles mathématiques Mathematisches Modell Biological Transport Biological transport Mathematical models Cell Membrane Permeability Ions metabolism Membranes (Biology) Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Ionentransport (DE-588)4162351-4 gnd Biomembran (DE-588)4006884-5 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4162351-4 (DE-588)4006884-5 |
| title | Ion transport through biological membranes an integrated theoretical approach |
| title_auth | Ion transport through biological membranes an integrated theoretical approach |
| title_exact_search | Ion transport through biological membranes an integrated theoretical approach |
| title_full | Ion transport through biological membranes an integrated theoretical approach Michael C. Mackey |
| title_fullStr | Ion transport through biological membranes an integrated theoretical approach Michael C. Mackey |
| title_full_unstemmed | Ion transport through biological membranes an integrated theoretical approach Michael C. Mackey |
| title_short | Ion transport through biological membranes |
| title_sort | ion transport through biological membranes an integrated theoretical approach |
| title_sub | an integrated theoretical approach |
| topic | Membranes (Biologie) - Modèles mathématiques Transport biologique - Modèles mathématiques Mathematisches Modell Biological Transport Biological transport Mathematical models Cell Membrane Permeability Ions metabolism Membranes (Biology) Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Ionentransport (DE-588)4162351-4 gnd Biomembran (DE-588)4006884-5 gnd |
| topic_facet | Membranes (Biologie) - Modèles mathématiques Transport biologique - Modèles mathématiques Mathematisches Modell Biological Transport Biological transport Mathematical models Cell Membrane Permeability Ions metabolism Membranes (Biology) Mathematical models Ionentransport Biomembran |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001280257&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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