Mathematical modeling of human brain physiological data:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2011
|
| Schlagworte: | |
| Online-Zugang: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-250284 Inhaltsverzeichnis |
| Beschreibung: | III, 167 S. Ill., graph. Darst. |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV040999625 | ||
| 003 | DE-604 | ||
| 005 | 20180914 | ||
| 007 | t | ||
| 008 | 130516s2011 ad|| m||| 00||| eng d | ||
| 035 | |a (OCoLC)844109774 | ||
| 035 | |a (DE-599)BVBBV040999625 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-473 |a DE-703 |a DE-1051 |a DE-824 |a DE-29 |a DE-12 |a DE-91 |a DE-19 |a DE-1049 |a DE-92 |a DE-739 |a DE-898 |a DE-355 |a DE-706 |a DE-20 |a DE-1102 | ||
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 100 | 1 | |a Böhm, Matthias |e Verfasser |0 (DE-588)1037274458 |4 aut | |
| 245 | 1 | 0 | |a Mathematical modeling of human brain physiological data |c vorgelegt von Matthias Böhm |
| 264 | 1 | |c 2011 | |
| 300 | |a III, 167 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Regensburg, Univ., Diss., 2012 | ||
| 650 | 0 | 7 | |a Mathematische Modellierung |0 (DE-588)7651795-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hirnfunktion |0 (DE-588)4159930-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Hirnfunktion |0 (DE-588)4159930-5 |D s |
| 689 | 0 | 1 | |a Mathematische Modellierung |0 (DE-588)7651795-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |o urn:nbn:de:bvb:355-epub-250284 |
| 856 | 4 | 1 | |u http://epub.uni-regensburg.de/25028/ |x Verlag |z kostenfrei |3 Volltext |
| 856 | 4 | |u https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-250284 |x Resolving-System | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025977252&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 912 | |a ebook | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-025977252 | ||
Datensatz im Suchindex
| _version_ | 1804150325880291328 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 1
2 A N A T O M Y O F T H E HUMAN BRAIN 5
2.1 OVERVIEW 5
2.2 BLOOD VESSELS 6
2.2.1 ARTERIES 6
2.2.2 CAPILLARIES 10
2.2.3 VEINS 10
2.2.4 SINUSES 10
2.3 BRAIN TISSUE 11
2.4 CEREBROSPINAL FLUID 12
3 MATHEMATICAL MODEL 15
3.1 FIRST PART: CEREBRAL CIRCULATION 16
3.1.1 CONSERVATION OF MASS 17
3.1.2 BLOOD VESSELS 18
3.1.3 CEREBROSPINAL FLUID (CSF) 20
3.1.4 BRAIN TISSUE 21
3.1.5 EXTRA COMPARTMENT 21
3.1.6 SET OF DIFFERENTIAL EQUATIONS 22
3.2 SECOND PART: OXYGEN TRANSPORT 22
3.2.1 OXYGEN DISSOCIATION CURVE 22
3.2.2 KROGH CYLINDER 24
3.2.3 THEORY OF OXYGEN TRANSPORT 25
3.3 CONNECTING PART 1 AND PART 2 28
3.4 EXTENSIONS AND MODIFICATIONS 29
3.4.1 STARLING B.ESISTOR 29
3.4.2 ADJUSTING THE MODEL 29
4 DEFAULT VALUES O F T H E MODEL 3 3
4.1 FIXED PARAMETERS 34
4.1.1 VOLUME 34
4.1.2 PRESSURES 34
I
HTTP://D-NB.INFO/1037274539
IMAGE 2
II CONTENTS
4.1.3 FLUXES 34
4.1.4 CONSTANTS 35
4.1.5 CAPACITANCE 35
4.2 CALCULATED PARAMETERS 36
4.2.1 BRAIN COMPARTMENT 36
4.2.2 CSF COMPARTMENT 36
4.2.3 ARTERY COMPARTMENT 36
4.2.4 CAPILLARY COMPARTMENT 37
4.2.5 VEIN COMPARTMENT 37
4.3 BOUNDARY CONDITIONS FOR BHOM MODEL 38
4.4 ADJUSTMENTS FOR TWO HEMISPHERES 38
4.4.1 ADJUSTED VALUES 38
4.4.2 BOUNDARY CONDITIONS (TWO HEMISPHERES) 39
4.5 PARAMETERS FOR AUTOREGULATION 40
4.5.1 BEHAVIOR OF AUTOREGULATION 40
4.6 OXYGEN TRANSPORT 45
4.6.1 PARTIAL OXYGEN PRESSURE IN BLOOD 45
4.6.2 PROPERTIES OF KROGH CYLINDER 46
4.6.3 PARTIAL OXYGEN PRESSURE IN TISSUE 46
4.7 SUMMARY 46
5 GENERAL BEHAVIOR O F T H E B H O M M O D E L 4 7
5.1 OVERVIEW 47
5.2 NO SWELLING 48
5.2.1 CASE 1: NO SWELLING, NO AUTOREGULATION 48
5.2.2 CASE 2: NO SWELLING, AUTOREGULATION 58
5.3 SWELLING 69
5.3.1 CASE 3: SWELLING, NO AUTOREGULATION 69
5.3.2 CASE 4: SWELLING, AUTOREGULATION 75
5.4 SUMMARY 80
6 GENERAL BEHAVIOR O F T H E S H O M MODEL 8 3
6.1 NO SWELLING 83
6.1.1 CASE 1: NO SWELLING, NO AUTOREGULATION 83
6.1.2 CASE 2: NO SWELLING, AUTOREGULATION 89
6.2 SWELLING 94
6.2.1 CASE 3: SWELLING, NO AUTOREGULATION 94
6.2.2 CASE 4: SWELLING, AUTOREGULATION 100
6.3 SUMMARY 108
7 GENERAL BEHAVIOR O F E S H O M MODEL 109
7.1 INTRODUCTORY REMARK 110
7.2 NO SWELLING 110
7.2.1 CASE 1: NO SWELLING, NO AUTOREGULATION 110
IMAGE 3
CONTENTS III
7.2.2 CASE 2: NO SWELLING, AUTOREGULATION 114
7.3 SWELLING 114
7.3.1 CASE 3: SWELLING, NO AUTOREGULATION 115
7.3.2 CASE 4: SWELLING, AUTOREGULATION 120
7.4 MIXED AUTOREGULATION 124
7.4.1 CASE 5: NO SWELLING, MIXED AUTOREGULATION 125
7.4.2 CASE 6: SWELLING, MIXED AUTOREGULATION 133
7.5 SUMMARY 140
8 EVALUATION O F T H E MODELS 143
8.1 SHOM MODEL 144
8.1.1 CASE 1: NO SWELLING, NO AUTOREGULATION 144
8.1.2 CASE 2: NO SWELLING, AUTOREGULATION 145
8.1.3 CASE 3: SWELLING, NO AUTOREGULATION 145
8.1.4 CASE 4: SWELLING, AUTOREGULATION 147
8.2 ESHOM MODEL 147
8.2.1 CASE 3: SWELLING, NO AUTOREGULATION 148
8.2.2 CASE 4: SWELLING, AUTOREGULATION 149
8.2.3 CASE 5: NO SWELLING, MIXED AUTOREGULATION 150
8.2.4 CASE 6: SWELLING, MIXED AUTOREGULATION 150
8.3 PLACEMENT OF MODELS 151
8.3.1 EXPERIMENTAL DATA 152
8.3.2 COMPARISON WITH MODELED DATA 152
8.3.3 CONCLUSION 159
9 SUMMARY AND OUTLOOK 161
|
| any_adam_object | 1 |
| author | Böhm, Matthias |
| author_GND | (DE-588)1037274458 |
| author_facet | Böhm, Matthias |
| author_role | aut |
| author_sort | Böhm, Matthias |
| author_variant | m b mb |
| building | Verbundindex |
| bvnumber | BV040999625 |
| classification_rvk | SK 950 |
| collection | ebook |
| ctrlnum | (OCoLC)844109774 (DE-599)BVBBV040999625 |
| discipline | Mathematik |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01784nam a2200397 c 4500</leader><controlfield tag="001">BV040999625</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20180914 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">130516s2011 ad|| m||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)844109774</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV040999625</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-1051</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-1049</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-1102</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Böhm, Matthias</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1037274458</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematical modeling of human brain physiological data</subfield><subfield code="c">vorgelegt von Matthias Böhm</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">III, 167 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Regensburg, Univ., Diss., 2012</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Modellierung</subfield><subfield code="0">(DE-588)7651795-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hirnfunktion</subfield><subfield code="0">(DE-588)4159930-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Hirnfunktion</subfield><subfield code="0">(DE-588)4159930-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematische Modellierung</subfield><subfield code="0">(DE-588)7651795-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="o">urn:nbn:de:bvb:355-epub-250284</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://epub.uni-regensburg.de/25028/</subfield><subfield code="x">Verlag</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-250284</subfield><subfield code="x">Resolving-System</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025977252&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ebook</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-025977252</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV040999625 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:37:08Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025977252 |
| oclc_num | 844109774 |
| open_access_boolean | 1 |
| owner | DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-29 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-20 DE-1102 |
| owner_facet | DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-29 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-20 DE-1102 |
| physical | III, 167 S. Ill., graph. Darst. |
| psigel | ebook |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| record_format | marc |
| spelling | Böhm, Matthias Verfasser (DE-588)1037274458 aut Mathematical modeling of human brain physiological data vorgelegt von Matthias Böhm 2011 III, 167 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Regensburg, Univ., Diss., 2012 Mathematische Modellierung (DE-588)7651795-0 gnd rswk-swf Hirnfunktion (DE-588)4159930-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Hirnfunktion (DE-588)4159930-5 s Mathematische Modellierung (DE-588)7651795-0 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:355-epub-250284 http://epub.uni-regensburg.de/25028/ Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-250284 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025977252&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Böhm, Matthias Mathematical modeling of human brain physiological data Mathematische Modellierung (DE-588)7651795-0 gnd Hirnfunktion (DE-588)4159930-5 gnd |
| subject_GND | (DE-588)7651795-0 (DE-588)4159930-5 (DE-588)4113937-9 |
| title | Mathematical modeling of human brain physiological data |
| title_auth | Mathematical modeling of human brain physiological data |
| title_exact_search | Mathematical modeling of human brain physiological data |
| title_full | Mathematical modeling of human brain physiological data vorgelegt von Matthias Böhm |
| title_fullStr | Mathematical modeling of human brain physiological data vorgelegt von Matthias Böhm |
| title_full_unstemmed | Mathematical modeling of human brain physiological data vorgelegt von Matthias Böhm |
| title_short | Mathematical modeling of human brain physiological data |
| title_sort | mathematical modeling of human brain physiological data |
| topic | Mathematische Modellierung (DE-588)7651795-0 gnd Hirnfunktion (DE-588)4159930-5 gnd |
| topic_facet | Mathematische Modellierung Hirnfunktion Hochschulschrift |
| url | http://epub.uni-regensburg.de/25028/ https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-250284 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025977252&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bohmmatthias mathematicalmodelingofhumanbrainphysiologicaldata |