Mathematics in medicine and the life sciences:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon
Springer
1996
|
Ausgabe: | Corr. 3. printing |
Schriftenreihe: | Texts in applied mathematics
10 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturangaben. - 2. Aufl. u.d.T.: Hoppensteadt, Frank C.: Modeling and simulation in medicine and the life sciences |
Beschreibung: | XII, 252 S. graph. Darst. |
ISBN: | 3540976396 0387976396 |
Internformat
MARC
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245 | 1 | 0 | |a Mathematics in medicine and the life sciences |c Frank C. Hoppensteadt ; Charles S. Peskin |
250 | |a Corr. 3. printing | ||
264 | 1 | |a New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon |b Springer |c 1996 | |
300 | |a XII, 252 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Texts in applied mathematics |v 10 | |
500 | |a Literaturangaben. - 2. Aufl. u.d.T.: Hoppensteadt, Frank C.: Modeling and simulation in medicine and the life sciences | ||
650 | 4 | |a Mathematik | |
650 | 4 | |a Biology |x methods | |
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Datensatz im Suchindex
_version_ | 1805067738080608256 |
---|---|
adam_text |
CONTENTS
SERIES
PREFACE
.
PREFACE
.
VII
INTRODUCTION
.
I
1
THE
MATHEMATICS
OF
POPULATIONS:
DEMOGRAPHICS
.
5
1.1.
GEOMETRIE
POPULATION
GROWTH
.
7
1.1.1.
GROWTH
OF
BACTERIAL
CULTURES
.
7
1.1.2.
LEAST-SQUARES
ESTIMATION
OF
THE
GROWTH
RATE
.
8
1.1.3.
GROWTH
OF
HUMAN
POPULATIONS
.
9
1.1.4.
INFINITESIMAL
SAMPLING
INTERVALS
AND
DOUBLING
TIMES
.
10
1.2.
GEOMETRIE
GROWTH
IN
A
POPULATION
STRATIFIED
BY
AGE
.
11
1.2.1.
FIBONACCI
'
S
RABBIT
POPULATION
.
11
1.2.2.
EULER
'
S
RENEWAL
EQUATIONS
.
13
1.2.3.
AGE
STRUCTURE
IN
HUMAN
POPULATIONS
.
15
1.3.
THE
LIMITS
OF
GROWTH
.
16
1.3.1.
VERHULST
'
S
MODEL
.
17
1.3.2.
PREDATOR
SATIATION
.
20
1.3.3.
CHAOS
.
21
1.3.4.
INFINITESIMAL
SAMPLING
INTERVALS
IN
A
LIMITING
ENVIRONMENT
.
26
1.4.
AGE
STRUCTURE
OF
POPULATIONS
NEAR
THE
LIMITS
OF
GROWTH
.
28
1.5.
HARVESTING
.
32
1.6.
SUMMARY
.
35
1.7.
ANNOTATED
REFERENCES
.
37
EXERCISES
.
38
2
INHERITANCE
.
45
2.1.
MENDEL
'
S
LAWS
.
46
2.2.
BACTERIAL
GENETICS:
PLASMIDS
.
50
2.3.
GENETICS
IN
SMALL
POPULATIONS
OF
HUMANS
.
53
2.4.
THE
HARDY-WEINBERG
EQUILIBRIUM
.
54
2.5.
SUMMARY
.
60
2.6.
ANNOTATED
REFERENCES
.
62
EXERCISES
.
63
X
CONTENTS
3
A
THEORY
OF
EPIDEMICS
.
67
3.1.
SPREAD
OF
INFECTION
WITHIN
A
FAMILY
.
68
3.2.
THE
THRESHOLD
OF
AN
EPIDEMIE
.
72
3.3.
CALCULATION
OF
THE
SEVERITY
OF
AN
EPIDEMIE
.
73
3.4.
SUMMARY
.
77
3.5.
ANNOTATED
REFERENCES
.
78
EXERCISES
.
79
4
BIOGEOGRAPHY
.
83
4.1.
THE
GAME
OF
LIFE
.
84
4.2.
RANDOM
WALKS
.
88
4.3.
THE
DIFFUSION
APPROXIMATION
.
90
4.4.
THE
GROWTH
OF
BACTERIA
ON
PLATES
.
92
4.5.
ANOTHER
VIEW
OF
RANDOM
WALKS
.
94
4.6.
SUMMARY
.
95
4.7.
ANNOTATED
REFERENCES
.
97
EXERCISES
.
99
5
THE
HEART
AND
CIRCULATION
.
105
5.1.
PLAN
OF
THE
CIRCULATION
.
105
5.2.
VOLUME,
FLOW,
AND
PRESSURE
.
107
5.3.
RESISTANCE
AND
COMPLIANCE
VESSELS
.
108
5.4.
THE
HEART
AS
A
PAIR
OF
PUMPS
.
110
5.5.
MATHEMATICAL
MODEL
OF
THE
UNCONTROLLED
CIRCULATION
.
113
5.6.
BALANCING
THE
TWO
SIDES
OF
THE
HEART
AND
THE
TWO
CIRCULATIONS
.
117
5.7.
CARDIAC
OUTPUT
AND
ARTERIAL
BLOOD
PRESSURE:
THE
NEED
FOR
EXTERNAL
CIRCULATORY
CONTROL
MECHANISMS
.
119
5.8.
NEURAL
CONTROL:
THE
BARORECEPTOR
LOOP
.
121
5.9.
AUTOREGULATION
.
123
5.10.
CHANGES
IN
THE
CIRCULATION
OCCURRING
AT
BIRTH
.
126
5.11.
DYNAMICS
OF
THE
ARTERIAL
PULSE
.
131
5.12.
ANNOTATED
REFERENCES
.
137
EXERCISES
.
139
6
GAS
EXCHANGE
IN
THE
LUNGS
.
147
6.1.
THE
IDEAL
GAS
LAW
AND
THE
SOLUBILITY
OF
GASES
.
147
6.2.
THE
EQUATIONS
OF
GAS
TRANSPORT
IN
ONE
ALVEOLUS
.
149
6.3.
GAS
TRANSPORT
IN
THE
LUNG
.
153
6.4.
OPTIMAL
GAS
TRANSPORT
.
154
6.5.
MEAN
ALVEOLAR
AND
ARTERIAL
PARTIAL
PRESSURES
.
156
6.6.
TRANSPORT
OF
O2
.
158
6.7.
ANNOTATED
REFERENCES
.
162
EXERCISES
.
163
CONTENTS
XI
7
CONTROL
OF
CELL
VOLUME
AND
THE
ELECTRICAL
PROPERTIES
OF
CELL
MEMBRANES
.
165
7.1.
OSMOTIC
PRESSURE
AND
THE
WORK
OF
CONCENTRATION
.
165
7.2.
A
SIMPLE
MODEL
OF
CELL
VOLUME
CONTROL
.
168
7.3.
THE
MOVEMENT
OF
IONS
ACROSS
CELL
MEMBRANES
.
170
7.4.
CONTROL
OF
CELL
VOLUME:
THE
INTERACTION
OF
ELECTRICAL
AND
OSMOTIC
EFFECTS
.
173
7.5.
TRANSIENT
CHANGES
IN
MEMBRANE
POTENTIAL:
A
SIGNALING
MECHANISM
IN
NERVE
AND
MUSCLE
.
178
7.6.
ANNOTATED
REFERENCES
.
180
EXERCISES
.
,
.
181
8
THE
RENAL
COUNTERCURRENT
MECHANISM
.
185
8.1.
THE
NEPHRON
.
185
8.2.
DIFFERENTIAL
EQUATIONS
OF
NA
+
AND
HJO
TRANSPORT
ALONG
THE
RENAL
TUBULES
.
188
8.3.
THE
LOOP
OF
HENLE
.
189
8.4.
THE
JUXTAGLOMERULAER
APPARATUS
AND
THE
RENIN-ANGIOTENSIN
SYSTEM
.
192
8.5.
THE
DISTAL
TUBULE
AND
COLLECTING
DUCT:
CONCENTRATING
AND
DILUTING
MODES
.
194
8.6.
REMARKS
ON
THE
SIGNIFICANCE
OF
THE
JUXTAGLOMERULAER
APPARATUS
.
195
8.7.
ANNOTATED
REFERENCES
.
196
EXERCISES
.
197
9
MUSCLE
MECHANICS
.
199
9.1.
THE
FORCE-VELOCITY
CURVE
.
199
9.2.
CROSS-BRIDGE
DYNAMICS
.
200
9.3.
ANNOTATED
REFERENCES
.
207
EXERCISES
.
208
10
BIOLOGICAL
CLOCKS
AND
MECHANISMS
OF
NEURAL
CONTROL
.
211
10.1.
A
THEORY
OF
CLOCKS
.
212
10.1.1.
THE
CLOCK
ON
THE
WALL
.
212
10.1.2.
PHASE
RESETTING:
A
RUBBER
HANDED
CLOCK
.
213
10.1.3.
MODULATED
CLOCKS
.
216
10.2.
NERVE
CELL
MEMBRANES
.
216
10,2.1.
CELL
MEMBRANE
POTENTIAL
.
217
10.2.2.
GUTTMAN
'
S
EXPERIMENTS
.
220
10.3.
VCON:
A
VOLTAGE
CONTROLLED
OSCILLATOR
NEURON
.
221
10.3.1.
VOLTAGE
CONTROLLED
OSCILLATORS
.
222
10.3.2.
PHASE
COMPARATORS
AND
A
MODEL
SYNAPSE
.
223
10.3.3.
VCON:
A
MODEL
SPIKE
GENERATOR
.
224
XII
CONTENTS
10.3.4.
PHASE
LOCKING
PROPERTIES
OF
A
VCON
.
225
10.4.
NEURAL
CONTROL
NETWORKS
.
226
10.4.1.
NETWORK
NOTATION
.
226
10.4.2.
VON
EULER
'
S
RESPIRATION
CONTROL
MECHANISM
.
227
10.5.
SUMMARY
.
230
10.6.
ANNOTATED
REFERENCES
.
232
EXERCISES
.
234
ANSWERS
FOR
SELECTED
EXERCISES
.
241
INDEX
.
249 |
any_adam_object | 1 |
author | Hoppensteadt, Frank C. 1938- Peskin, Charles S. 1946- |
author_GND | (DE-588)11268792X (DE-588)108882160X |
author_facet | Hoppensteadt, Frank C. 1938- Peskin, Charles S. 1946- |
author_role | aut aut |
author_sort | Hoppensteadt, Frank C. 1938- |
author_variant | f c h fc fch c s p cs csp |
building | Verbundindex |
bvnumber | BV011157801 |
callnumber-first | Q - Science |
callnumber-label | QH323 |
callnumber-raw | QH323.5 |
callnumber-search | QH323.5 |
callnumber-sort | QH 3323.5 |
callnumber-subject | QH - Natural History and Biology |
classification_tum | BIO 105f |
ctrlnum | (OCoLC)37184672 (DE-599)BVBBV011157801 |
discipline | Biologie |
edition | Corr. 3. printing |
format | Book |
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id | DE-604.BV011157801 |
illustrated | Illustrated |
indexdate | 2024-07-20T03:39:00Z |
institution | BVB |
isbn | 3540976396 0387976396 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007480310 |
oclc_num | 37184672 |
open_access_boolean | |
owner | DE-91G DE-BY-TUM |
owner_facet | DE-91G DE-BY-TUM |
physical | XII, 252 S. graph. Darst. |
publishDate | 1996 |
publishDateSearch | 1996 |
publishDateSort | 1996 |
publisher | Springer |
record_format | marc |
series | Texts in applied mathematics |
series2 | Texts in applied mathematics |
spelling | Hoppensteadt, Frank C. 1938- Verfasser (DE-588)11268792X aut Mathematics in medicine and the life sciences Frank C. Hoppensteadt ; Charles S. Peskin Corr. 3. printing New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon Springer 1996 XII, 252 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts in applied mathematics 10 Literaturangaben. - 2. Aufl. u.d.T.: Hoppensteadt, Frank C.: Modeling and simulation in medicine and the life sciences Mathematik Biology methods Biomathematics Mathematics Models, Biological Physiology Mathematics Physiology methods Population biology Mathematics Biomathematik (DE-588)4139408-2 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Physiologie (DE-588)4045981-0 gnd rswk-swf Populationsbiologie (DE-588)4046800-8 gnd rswk-swf Medizin (DE-588)4038243-6 gnd rswk-swf Modellierung (DE-588)4170297-9 gnd rswk-swf Physiologie (DE-588)4045981-0 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Populationsbiologie (DE-588)4046800-8 s Biomathematik (DE-588)4139408-2 s Modellierung (DE-588)4170297-9 s Computersimulation (DE-588)4148259-1 s Medizin (DE-588)4038243-6 s 1\p DE-604 Mathematik (DE-588)4037944-9 s 2\p DE-604 Biologie (DE-588)4006851-1 s 3\p DE-604 Peskin, Charles S. 1946- Verfasser (DE-588)108882160X aut Texts in applied mathematics 10 (DE-604)BV002476038 10 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007480310&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Hoppensteadt, Frank C. 1938- Peskin, Charles S. 1946- Mathematics in medicine and the life sciences Texts in applied mathematics Mathematik Biology methods Biomathematics Mathematics Models, Biological Physiology Mathematics Physiology methods Population biology Mathematics Biomathematik (DE-588)4139408-2 gnd Computersimulation (DE-588)4148259-1 gnd Biologie (DE-588)4006851-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Mathematik (DE-588)4037944-9 gnd Physiologie (DE-588)4045981-0 gnd Populationsbiologie (DE-588)4046800-8 gnd Medizin (DE-588)4038243-6 gnd Modellierung (DE-588)4170297-9 gnd |
subject_GND | (DE-588)4139408-2 (DE-588)4148259-1 (DE-588)4006851-1 (DE-588)4114528-8 (DE-588)4037944-9 (DE-588)4045981-0 (DE-588)4046800-8 (DE-588)4038243-6 (DE-588)4170297-9 |
title | Mathematics in medicine and the life sciences |
title_auth | Mathematics in medicine and the life sciences |
title_exact_search | Mathematics in medicine and the life sciences |
title_full | Mathematics in medicine and the life sciences Frank C. Hoppensteadt ; Charles S. Peskin |
title_fullStr | Mathematics in medicine and the life sciences Frank C. Hoppensteadt ; Charles S. Peskin |
title_full_unstemmed | Mathematics in medicine and the life sciences Frank C. Hoppensteadt ; Charles S. Peskin |
title_short | Mathematics in medicine and the life sciences |
title_sort | mathematics in medicine and the life sciences |
topic | Mathematik Biology methods Biomathematics Mathematics Models, Biological Physiology Mathematics Physiology methods Population biology Mathematics Biomathematik (DE-588)4139408-2 gnd Computersimulation (DE-588)4148259-1 gnd Biologie (DE-588)4006851-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Mathematik (DE-588)4037944-9 gnd Physiologie (DE-588)4045981-0 gnd Populationsbiologie (DE-588)4046800-8 gnd Medizin (DE-588)4038243-6 gnd Modellierung (DE-588)4170297-9 gnd |
topic_facet | Mathematik Biology methods Biomathematics Mathematics Models, Biological Physiology Mathematics Physiology methods Population biology Mathematics Biomathematik Computersimulation Biologie Mathematisches Modell Physiologie Populationsbiologie Medizin Modellierung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007480310&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV002476038 |
work_keys_str_mv | AT hoppensteadtfrankc mathematicsinmedicineandthelifesciences AT peskincharless mathematicsinmedicineandthelifesciences |