Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML:
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1. Verfasser: | |
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Format: | Abschlussarbeit Buch |
Sprache: | English |
Veröffentlicht: |
Düren
Shaker Verlag
2019
|
Ausgabe: | [1. Auflage] |
Schriftenreihe: | Aachener Informatik-Berichte, Software-Engineering
39 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
Beschreibung: | V, 209 Seiten Illustrationen 24 cm, 320 g |
ISBN: | 9783844066326 3844066322 |
Internformat
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100 | 1 | |a Blundell, Inga |e Verfasser |0 (DE-588)1187866652 |4 aut | |
245 | 1 | 0 | |a Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML |c Inga Blundell |
250 | |a [1. Auflage] | ||
264 | 1 | |a Düren |b Shaker Verlag |c 2019 | |
300 | |a V, 209 Seiten |b Illustrationen |c 24 cm, 320 g | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Aachener Informatik-Berichte, Software-Engineering |v 39 | |
502 | |b Dissertation |c RWTH Aachen University |d 2018 | ||
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653 | |a Paperback / softback | ||
653 | |a Fachpublikum/ Wissenschaft | ||
653 | |a )Unsewn / adhesive bound | ||
653 | |a NESTML | ||
653 | |a ODE | ||
653 | |a brain | ||
653 | |a computational neuroscience | ||
653 | |a neural simulation | ||
653 | |a neuron | ||
653 | |a 1632: Hardcover, Softcover / Informatik, EDV/Informatik | ||
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Datensatz im Suchindex
_version_ | 1804182105486262272 |
---|---|
adam_text | CONTENTS
1
INTRODUCTION
7
1.1
NEURONS
....................................................................................................
7
1.2
BRAIN
REGIONS
...............................................................................................
12
1.3
DECODING
THE
BRAIN
USING
COMPUTER
SIMULATIONS
.....................................
13
1.4
NEURONAL
MODELLING
LANGUAGES
.
.
.
...........................................................
16
1.5
MAIN
RESULTS
OF
THIS
THESIS
..........................................................................
17
1.6
STRUCTURE
OF
THE
THESIS
................................................................................
18
2
MATHEMATICAL
MODELLING
OF
BIOLOGICAL
NEURONS
21
2.1
BIOLOGICAL
NEURONS
.........................................................................................
21
2.2
MATHEMATICAL
MODELS
OF
NEURONS
.................................................................
24
2.2.1
THE
INTEGRATE-AND-FIRE
MODEL
.............................................................
26
2.2.2
CURRENT-BASED
AND
CONDUCTANCE-BASED
INTEGRATE-AND-FIRE
NEU
RONS
..................................................................................................
27
2.2.3
THE
ADAPTIVE
EXPONENTIAL
INTEGRATE-AND-FIRE
MODEL
......................
28
2.2.4
THE
HODGKIN-HUXLEY
MODEL
..........................................................
29
2.2.5
THE
IZHIKEVICH
MODEL
......................................................................
31
2.2.6
MULTI-COMPARTMENT
MODELS
.............................................................
31
3
NEURAL
SIMULATIONS
33
3.1
NEURAL
SIMULATION
.........................................................................................
33
3.2
NEURAL
SIMULATORS
.........................................................................................
34
3.2.1
NEST:
A
NEURAL
SIMULATION
TOOL
......................................................
34
3.3
MODELLING
LANGUAGES
FOR
NEURAL
SIMULATORS
..............................................
36
4
THE
NESTML
LANGUAGE
39
4.1
BASIC
ELEMENTS
OF
THE
LANGUAGE
....................................................................
41
4.1.1
DECLARATIONS
......................................................................................
42
4.1.2
EXPRESSIONS
AND
THEIR
OPERATORS
......................................................
42
4.1.3
ASSIGNMENTS
......................................................................................
42
4.1.4
FUNCTIONS
.........................................................................................
43
V
4.1.5
LOOPS
...............................................................................................
44
4.1.6
CONDITIONALS
......................................................................................
45
4.2
DATA
TYPES
AND
PHYSICAL
UNITS
....................................................................
45
4.2.1
DATA
TYPES
.........................................................................................
45
4.2.2
PHYSICAL
UNITS
...................................................................................
46
4.3
NEURON
MODELLING
WITH
NESTML
..............................................................
47
4.3.1
COMMENTS
.........................................................................................
53
5
SOLVING
DIFFERENTIAL
EQUATIONS
IN
NEURON
MODELS
OPTIMALLY
55
5.1
SOLVING
LINEAR
CONSTANT
COEFFICIENT
(DDES
ANALYTICALLY
............................
55
5.1.1
CHECKING
LINEARITY
.............................................................................
56
5.1.2
AN
ANALYTIC
EVOLUTION
SCHEME
........................................................
68
5.1.3
ADDING
A
CONSTANT
EXTERNAL
INPUT
CURRENT
.......................................
71
5.1.4
HANDLING
SUMS
................................................................................
73
5.2
CHOICE
OF
A
SUITABLE
NUMERIC
INTEGRATION
SCHEME
.....................................
74
5.2.1
COMPARISON
OF
AVERAGE
STEP
SIZES
..............................................
79
5.3
ALTERNATIVE
APPROACHES
................................................................................
82
5.4
EVALUATION
OF
SOLVER
APPROACHES
.................................................................
82
5.4.1
SOLVING
LINEAR
CONSTANT
COEFFICIENT
ODES
ANALYTICALLY
.................
82
5.4.2
CHOICE
OF
A
SUITABLE
NUMERIC
INTEGRATION
SCHEME
...........................
83
6
REFERENCE
IMPLEMENTATION
85
6.1
ANALYSIS
OF
POSTSYNAPTIC
SHAPES
.................................................................
88
6.2
GENERATION
OF
AN
ANALYTICAL
EVOLUTION
SCHEME
...........................................
90
6.3
FINDING
AN
APPROPRIATE
NUMERICAL
SOLVER
.................................................
93
6.4
EXAMPLE
........................................................................................................
93
7
THE
INTEGRATE-AND-FIRE
NEURON
MODEL
WITH
ALPHA-SHAPED
POSTSYNAP
TIC
CURRENTS:
A
CASE
STUDY
97
7.1
THE
BIOPHYSICAL
MODEL
........................
97
7.2
THE
NEST-IMPLEMENTATION
........................................................................
101
7.3
THE
NESTML-IMPLEMENTATION
..................................................................
104
7.4
CODE-GENERATION
.......................................................................................
107
7.5
ADVANTAGES
OF
THE
NEW
APPROACH
...............................................................
114
8
APPLICATION
TO
COMMON
MODELS
117
9
RELATED
WORK
123
9.1
NEURAL
SIMULATORS
.......................................................................................
123
9.1.1
BRIAN
..................................................................................................
123
9.1.2
NMODL
..........................................................................................
124
9.2
SOFTWARE
FOR
SYMBOLIC
COMPUTATION
AND
SCIENTIFIC
COMPUTING
..............
125
9.2.1
CONCEPTUAL
ABILITIES
........................................................................
125
9.2.2
TECHNOLOGY
....................................................................................
130
9.3
ORDINARY
DIFFERENTIAL
EQUATIONS
IN
OTHER
APPLICATIONS
.............................
130
9.3.1
MOLECULAR
SIMULATION
.....................................................................
130
9.3.2
CONTROL
ENGINEERING
........................................................................
132
10
EVALUATION
OF
NESTML
135
11
DISCUSSION
141
11.1
RESTRICTIONS
OF
THE
FRAMEWORK
..................................................................
141
11.1.1
STOCHASTIC
NEURON
MODELS
............................................................
141
11.1.2
ANALYZING
SHAPE
FUNCTIONS
THAT
DO
NOT
OBEY
A
LINEAR
HOMOGE
NEOUS
ODE)
....................................................................................
144
11.2
ALTERNATIVE
METHODS
.................................................................................
144
11.2.1
ODE
SYSTEMS
THAT
CAN
BE
SOLVED
PARTLY
ANALYTICALLY
.................
145
11.3
FUTURE
WORK
........................................................................................
147
REFERENCES
149
APPENDIX:
IMPLEMENTATION
OF
AN
INTEGRATE-AND-FIRE
NEURON
MODEL
WITH
ALPHA-SHAPED
POST
SYNAPTIC
CURRENTS
IN
NEST
159
APPENDIX:
NESTML
IMPLEMENTATIONS
OF
COMMONLY
USED
NEURON
MOD
ELS
176
.1
THE
ADAPTIVE
EXPONENTIAL
INTEGRATE-AND-FIRE
NEURON
WITH
ALPHA-SHAPED
CONDUCTANCES:
AEIF_COND*ALPHA
..................................................................
176
.2
THE
HODGKIN
ITUXLEY
NEURON
MODEL:
HH_PSC_ALPHA
...................................
179
.3
THE
CONDUCTANCE-BASED
INTEGRATE-AND-FIRE
NEURON
WITH
ALPHA-SHAPED
CONDUCTANCES:
IAF_COND_ALPHA
..................................................................
182
.4
THE
CURRENT-BASED
INTEGRATE-AND-FIRE
NEURON
WITH
ALPHA-SHAPED
POST-
SYNAPTIC
CURRENTS:
IAF*PSC_AIPHA
...............................................................
184
.5
THE
IZHIKEVICH
MODEL:
IZHIKEVICH
............................................................
187
LIST
OF
FIGURES
209
|
adam_txt |
CONTENTS
1
INTRODUCTION
7
1.1
NEURONS
.
7
1.2
BRAIN
REGIONS
.
12
1.3
DECODING
THE
BRAIN
USING
COMPUTER
SIMULATIONS
.
13
1.4
NEURONAL
MODELLING
LANGUAGES
.
.
.
.
16
1.5
MAIN
RESULTS
OF
THIS
THESIS
.
17
1.6
STRUCTURE
OF
THE
THESIS
.
18
2
MATHEMATICAL
MODELLING
OF
BIOLOGICAL
NEURONS
21
2.1
BIOLOGICAL
NEURONS
.
21
2.2
MATHEMATICAL
MODELS
OF
NEURONS
.
24
2.2.1
THE
INTEGRATE-AND-FIRE
MODEL
.
26
2.2.2
CURRENT-BASED
AND
CONDUCTANCE-BASED
INTEGRATE-AND-FIRE
NEU
RONS
.
27
2.2.3
THE
ADAPTIVE
EXPONENTIAL
INTEGRATE-AND-FIRE
MODEL
.
28
2.2.4
THE
HODGKIN-HUXLEY
MODEL
.
29
2.2.5
THE
IZHIKEVICH
MODEL
.
31
2.2.6
MULTI-COMPARTMENT
MODELS
.
31
3
NEURAL
SIMULATIONS
33
3.1
NEURAL
SIMULATION
.
33
3.2
NEURAL
SIMULATORS
.
34
3.2.1
NEST:
A
NEURAL
SIMULATION
TOOL
.
34
3.3
MODELLING
LANGUAGES
FOR
NEURAL
SIMULATORS
.
36
4
THE
NESTML
LANGUAGE
39
4.1
BASIC
ELEMENTS
OF
THE
LANGUAGE
.
41
4.1.1
DECLARATIONS
.
42
4.1.2
EXPRESSIONS
AND
THEIR
OPERATORS
.
42
4.1.3
ASSIGNMENTS
.
42
4.1.4
FUNCTIONS
.
43
V
4.1.5
LOOPS
.
44
4.1.6
CONDITIONALS
.
45
4.2
DATA
TYPES
AND
PHYSICAL
UNITS
.
45
4.2.1
DATA
TYPES
.
45
4.2.2
PHYSICAL
UNITS
.
46
4.3
NEURON
MODELLING
WITH
NESTML
.
47
4.3.1
COMMENTS
.
53
5
SOLVING
DIFFERENTIAL
EQUATIONS
IN
NEURON
MODELS
OPTIMALLY
55
5.1
SOLVING
LINEAR
CONSTANT
COEFFICIENT
(DDES
ANALYTICALLY
.
55
5.1.1
CHECKING
LINEARITY
.
56
5.1.2
AN
ANALYTIC
EVOLUTION
SCHEME
.
68
5.1.3
ADDING
A
CONSTANT
EXTERNAL
INPUT
CURRENT
.
71
5.1.4
HANDLING
SUMS
.
73
5.2
CHOICE
OF
A
SUITABLE
NUMERIC
INTEGRATION
SCHEME
.
74
5.2.1
COMPARISON
OF
AVERAGE
STEP
SIZES
.
79
5.3
ALTERNATIVE
APPROACHES
.
82
5.4
EVALUATION
OF
SOLVER
APPROACHES
.
82
5.4.1
SOLVING
LINEAR
CONSTANT
COEFFICIENT
ODES
ANALYTICALLY
.
82
5.4.2
CHOICE
OF
A
SUITABLE
NUMERIC
INTEGRATION
SCHEME
.
83
6
REFERENCE
IMPLEMENTATION
85
6.1
ANALYSIS
OF
POSTSYNAPTIC
SHAPES
.
88
6.2
GENERATION
OF
AN
ANALYTICAL
EVOLUTION
SCHEME
.
90
6.3
FINDING
AN
APPROPRIATE
NUMERICAL
SOLVER
.
93
6.4
EXAMPLE
.
93
7
THE
INTEGRATE-AND-FIRE
NEURON
MODEL
WITH
ALPHA-SHAPED
POSTSYNAP
TIC
CURRENTS:
A
CASE
STUDY
97
7.1
THE
BIOPHYSICAL
MODEL
.
97
7.2
THE
NEST-IMPLEMENTATION
.
101
7.3
THE
NESTML-IMPLEMENTATION
.
104
7.4
CODE-GENERATION
.
107
7.5
ADVANTAGES
OF
THE
NEW
APPROACH
.
114
8
APPLICATION
TO
COMMON
MODELS
117
9
RELATED
WORK
123
9.1
NEURAL
SIMULATORS
.
123
9.1.1
BRIAN
.
123
9.1.2
NMODL
.
124
9.2
SOFTWARE
FOR
SYMBOLIC
COMPUTATION
AND
SCIENTIFIC
COMPUTING
.
125
9.2.1
CONCEPTUAL
ABILITIES
.
125
9.2.2
TECHNOLOGY
.
130
9.3
ORDINARY
DIFFERENTIAL
EQUATIONS
IN
OTHER
APPLICATIONS
.
130
9.3.1
MOLECULAR
SIMULATION
.
130
9.3.2
CONTROL
ENGINEERING
.
132
10
EVALUATION
OF
NESTML
135
11
DISCUSSION
141
11.1
RESTRICTIONS
OF
THE
FRAMEWORK
.
141
11.1.1
STOCHASTIC
NEURON
MODELS
.
141
11.1.2
ANALYZING
SHAPE
FUNCTIONS
THAT
DO
NOT
OBEY
A
LINEAR
HOMOGE
NEOUS
ODE)
.
144
11.2
ALTERNATIVE
METHODS
.
144
11.2.1
ODE
SYSTEMS
THAT
CAN
BE
SOLVED
PARTLY
ANALYTICALLY
.
145
11.3
FUTURE
WORK
.
147
REFERENCES
149
APPENDIX:
IMPLEMENTATION
OF
AN
INTEGRATE-AND-FIRE
NEURON
MODEL
WITH
ALPHA-SHAPED
POST
SYNAPTIC
CURRENTS
IN
NEST
159
APPENDIX:
NESTML
IMPLEMENTATIONS
OF
COMMONLY
USED
NEURON
MOD
ELS
176
.1
THE
ADAPTIVE
EXPONENTIAL
INTEGRATE-AND-FIRE
NEURON
WITH
ALPHA-SHAPED
CONDUCTANCES:
AEIF_COND*ALPHA
.
176
.2
THE
HODGKIN
ITUXLEY
NEURON
MODEL:
HH_PSC_ALPHA
.
179
.3
THE
CONDUCTANCE-BASED
INTEGRATE-AND-FIRE
NEURON
WITH
ALPHA-SHAPED
CONDUCTANCES:
IAF_COND_ALPHA
.
182
.4
THE
CURRENT-BASED
INTEGRATE-AND-FIRE
NEURON
WITH
ALPHA-SHAPED
POST-
SYNAPTIC
CURRENTS:
IAF*PSC_AIPHA
.
184
.5
THE
IZHIKEVICH
MODEL:
IZHIKEVICH
.
187
LIST
OF
FIGURES
209 |
any_adam_object | 1 |
any_adam_object_boolean | 1 |
author | Blundell, Inga |
author_GND | (DE-588)1187866652 |
author_facet | Blundell, Inga |
author_role | aut |
author_sort | Blundell, Inga |
author_variant | i b ib |
building | Verbundindex |
bvnumber | BV047089006 |
ctrlnum | (OCoLC)1090340849 (DE-599)DNB1180518713 |
dewey-full | 006.32 |
dewey-hundreds | 000 - Computer science, information, general works |
dewey-ones | 006 - Special computer methods |
dewey-raw | 006.32 |
dewey-search | 006.32 |
dewey-sort | 16.32 |
dewey-tens | 000 - Computer science, information, general works |
discipline | Biologie Informatik Medizin |
discipline_str_mv | Biologie Informatik Medizin |
edition | [1. Auflage] |
format | Thesis Book |
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genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
genre_facet | Hochschulschrift |
id | DE-604.BV047089006 |
illustrated | Illustrated |
index_date | 2024-07-03T16:18:52Z |
indexdate | 2024-07-10T09:02:16Z |
institution | BVB |
institution_GND | (DE-588)1064118135 |
isbn | 9783844066326 3844066322 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032495609 |
oclc_num | 1090340849 |
open_access_boolean | |
owner | DE-83 |
owner_facet | DE-83 |
physical | V, 209 Seiten Illustrationen 24 cm, 320 g |
publishDate | 2019 |
publishDateSearch | 2019 |
publishDateSort | 2019 |
publisher | Shaker Verlag |
record_format | marc |
series | Aachener Informatik-Berichte, Software-Engineering |
series2 | Aachener Informatik-Berichte, Software-Engineering |
spelling | Blundell, Inga Verfasser (DE-588)1187866652 aut Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML Inga Blundell [1. Auflage] Düren Shaker Verlag 2019 V, 209 Seiten Illustrationen 24 cm, 320 g txt rdacontent n rdamedia nc rdacarrier Aachener Informatik-Berichte, Software-Engineering 39 Dissertation RWTH Aachen University 2018 Differentialgleichungssystem (DE-588)4121137-6 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Elektrophysiologie (DE-588)4138132-4 gnd rswk-swf Ionenkanal (DE-588)4138699-1 gnd rswk-swf Domänenspezifische Programmiersprache (DE-588)7585264-0 gnd rswk-swf Membranpotenzial (DE-588)4128755-1 gnd rswk-swf Nervenzelle (DE-588)4041649-5 gnd rswk-swf Hirnfunktion (DE-588)4159930-5 gnd rswk-swf Pulsverarbeitendes neuronales Netz (DE-588)4529621-2 gnd rswk-swf Paperback / softback Fachpublikum/ Wissenschaft )Unsewn / adhesive bound NESTML ODE brain computational neuroscience neural simulation neuron 1632: Hardcover, Softcover / Informatik, EDV/Informatik (DE-588)4113937-9 Hochschulschrift gnd-content Hirnfunktion (DE-588)4159930-5 s Nervenzelle (DE-588)4041649-5 s Pulsverarbeitendes neuronales Netz (DE-588)4529621-2 s Membranpotenzial (DE-588)4128755-1 s Ionenkanal (DE-588)4138699-1 s Elektrophysiologie (DE-588)4138132-4 s Computersimulation (DE-588)4148259-1 s Domänenspezifische Programmiersprache (DE-588)7585264-0 s Differentialgleichungssystem (DE-588)4121137-6 s DE-604 Shaker Verlag (DE-588)1064118135 pbl Aachener Informatik-Berichte, Software-Engineering 39 (DE-604)BV040516036 39 B:DE-101 application/pdf http://d-nb.info/1180518713/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032495609&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Blundell, Inga Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML Aachener Informatik-Berichte, Software-Engineering Differentialgleichungssystem (DE-588)4121137-6 gnd Computersimulation (DE-588)4148259-1 gnd Elektrophysiologie (DE-588)4138132-4 gnd Ionenkanal (DE-588)4138699-1 gnd Domänenspezifische Programmiersprache (DE-588)7585264-0 gnd Membranpotenzial (DE-588)4128755-1 gnd Nervenzelle (DE-588)4041649-5 gnd Hirnfunktion (DE-588)4159930-5 gnd Pulsverarbeitendes neuronales Netz (DE-588)4529621-2 gnd |
subject_GND | (DE-588)4121137-6 (DE-588)4148259-1 (DE-588)4138132-4 (DE-588)4138699-1 (DE-588)7585264-0 (DE-588)4128755-1 (DE-588)4041649-5 (DE-588)4159930-5 (DE-588)4529621-2 (DE-588)4113937-9 |
title | Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML |
title_auth | Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML |
title_exact_search | Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML |
title_exact_search_txtP | Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML |
title_full | Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML Inga Blundell |
title_fullStr | Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML Inga Blundell |
title_full_unstemmed | Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML Inga Blundell |
title_short | Algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language NESTML |
title_sort | algorithmic solver selection for systems of differential equations in human brain cell models for the domain specifc language nestml |
topic | Differentialgleichungssystem (DE-588)4121137-6 gnd Computersimulation (DE-588)4148259-1 gnd Elektrophysiologie (DE-588)4138132-4 gnd Ionenkanal (DE-588)4138699-1 gnd Domänenspezifische Programmiersprache (DE-588)7585264-0 gnd Membranpotenzial (DE-588)4128755-1 gnd Nervenzelle (DE-588)4041649-5 gnd Hirnfunktion (DE-588)4159930-5 gnd Pulsverarbeitendes neuronales Netz (DE-588)4529621-2 gnd |
topic_facet | Differentialgleichungssystem Computersimulation Elektrophysiologie Ionenkanal Domänenspezifische Programmiersprache Membranpotenzial Nervenzelle Hirnfunktion Pulsverarbeitendes neuronales Netz Hochschulschrift |
url | http://d-nb.info/1180518713/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032495609&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV040516036 |
work_keys_str_mv | AT blundellinga algorithmicsolverselectionforsystemsofdifferentialequationsinhumanbraincellmodelsforthedomainspecifclanguagenestml AT shakerverlag algorithmicsolverselectionforsystemsofdifferentialequationsinhumanbraincellmodelsforthedomainspecifclanguagenestml |
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