Mathematical modeling of molecular motors:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2012
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | II, 116 S. graph. Darst. |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV040628849 | ||
| 003 | DE-604 | ||
| 005 | 20140930 | ||
| 007 | t | ||
| 008 | 121212s2012 d||| m||| 00||| eng d | ||
| 035 | |a (OCoLC)835278709 | ||
| 035 | |a (DE-599)GBV730678113 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-188 |a DE-12 | ||
| 082 | 0 | |a 571.65401519233 |2 22/ger | |
| 084 | |a 570 |2 sdnb | ||
| 100 | 1 | |a Keller, Peter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical modeling of molecular motors |c von Peter Keller |
| 264 | 1 | |c 2012 | |
| 300 | |a II, 116 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Potsdam, Univ., Diss., 2012 | ||
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 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=025456172&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-025456172 | ||
Datensatz im Suchindex
| _version_ | 1804149738824531968 |
|---|---|
| adam_text | IMAGE 1
C O N T E N T S
INTRODUCTION 1
1 M A R K O V C H A I N S IN D I S C R E T E A N D C O N T I N U O U S T
I M E W I T H C O U N T A B L E S T A T E S P A C E 5
1.1 O N NOTATION 5
1.2 BASIC FACTS 6
1.2.1 MARKOV CHAINS IN DISCRETE TIME 6
1.2.2 CONTINUOUS TIME 9
1.3 REVERSIBILITY, PERMUTED BALANCE AND EXTENDED KOLMOGOROFF CRITERION
11
1.4 LOCAL TIME 21
1.5 P A T T E R N MATCHING 22
2 A B S O R P T I O N I N M A R K O V C H A I N S 2 5
2.1 P H A S E T Y P E DISTRIBUTIONS 25
2.1.1 PH-TYPE DISTRIBUTION AS ABSORPTION TIME DISTRIBUTION 25
2.1.2 BASIC PROPERTIES 27
2.1.3 TYPICAL EXAMPLES OF P H - T Y P E DISTRIBUTIONS 28
2.1.4 EXAMPLES FOR DISCRETE DISTRIBUTIONS 28
2.1.4.1 T H E GEOMETRIC DISTRIBUTION 28
2.1.4.2 GENERALIZED GEOMETRIC DISTRIBUTIONS 29
2.1.5 EXAMPLES FOR CONTINUOUS DISTRIBUTIONS 30
2.1.5.1 EXPONENTIAL DISTRIBUTION 30
2.1.5.2 ERLANG DISTRIBUTION 30
2.1.5.3 HYPO EXPONENTIAL O R GENERALIZED ERLANG DISTRIBUTION 31
2.1.5.4 COX DISTRIBUTION 32
2.2 EXTENSIONS TO SEVERAL ABSORBING STATES 32
2.2.1 ABSORPTION IN A GIVEN SUBSET OF ABSORBING STATES 33
2.2.2 ABSORPTION LAW AS MIXTURE OF P H - T Y P E DISTRIBUTIONS 3 8
2.2.3 ROLE OF PSEUDO INVERSES AND CONDITIONAL ABSORBING STATES 40
3 T I M E D U A L I T Y I N M A R K O V C H A I N S 4 3
3.1 DEFINITIONS A N D PRELIMINARIES 43
3.2 SUFFICIENT CONDITIONS FOR T I M E DUALITY IN CASE OF SIMPLE
NEIGHBOURHOOD 4 8
3.2.1 A CONDITION BASED ON M O M E N T GENERATING FUNCTIONS 4 8
3.2.2 T I M E DUALITY VIA PERMUTED BALANCE 49
3.2.3 FURTHER RESULTS BASED ON THE S T R U C T U R E OF T H E TRANSITION
G R A P H 50
3.3 EXTENSION TO NON-SIMPLE B O U N D A R Y 55
3.4 SOME EXAMPLES 57
3.4.1 T I M E DUALITY WITHOUT P E R M U T E D BALANCE 57
HTTP://D-NB.INFO/1030278458
IMAGE 2
C O N T E N T S
3.4.2 BIRTH-AND-DEATH PROCESSES WITH REFLECTING B O U N D A R Y A N D
PROCESSES ON TREES 59
4 K I L L E D Q U A S I - R A N D O M - W A L K 6 1
4.1 DEFINITIONS A N D PRELIMINARIES 6 1
4.2 LIFETIME 6 5
4.3 T H E NOTION OF FORWARD A N D BACKWARD STEPS A N D THEIR
DISTRIBUTION 66
4.4 T H E LAST VISITED LEVEL A N D T H E MINIMAL A N D MAXIMAL LEVEL
ATTAINED BEFORE KILLING . 73
5 M O D E L L I N G O F M O L E C U L A R M O T O R S A N D A P P L I C
A T I O N S T O K I N E S I N V 7 7
5.1 LIFETIME 79
5.2 T H E STEP-PROCESS AND DERIVED QUANTITIES 80
6 P E R S P E C T I V E S A N D O U T L O O K 8 7
6.1 TIME DUALITY IN SEMI-MARKOV CHAINS 87
6.2 EXTENSION TO COUPLING OF KILLED QUASI RANDOM-WALKS IN T H E MODELING
OF MOLECULAR MOTORS 89
A M A T R I X T H E O R Y 9 1
A . L O N T H E INVERTIBILITY OF SUBGENERATORS A N D SUBSTOCHASTIC MAT
RICES 91
A.2 T H E FROBENIUS FORMULA FOR BLOCK MATRICES 92
B O N P H - T Y P E D I S T R I B U T I O N S 9 3
B . L DISCRETE TIME 93
B . L . L DISTRIBUTION A N D DISTRIBUTION FUNCTION 93
B . L . 2 GENERATING FUNCTION A N D FACTORIAL MOMENTS 95
B.2 CONTINUOUS TIME 96
B.2.1 DISTRIBUTION A N D DISTRIBUTION FUNCTION 96
B.2.2 CHARACTERISTIC A N D M O M E N T GENERATING FUNCTION, MOMENTS 97
C T H E S I M P L E KILLED R A N D O M W A L K 9 9
N O M E N C L A T U R E 1 0 7
E I D E S S T A T T L I C H E E R K L A R U N G 1 1 1
B I B L I O G R A P H Y 1 1 3
I I
|
| any_adam_object | 1 |
| author | Keller, Peter |
| author_facet | Keller, Peter |
| author_role | aut |
| author_sort | Keller, Peter |
| author_variant | p k pk |
| building | Verbundindex |
| bvnumber | BV040628849 |
| ctrlnum | (OCoLC)835278709 (DE-599)GBV730678113 |
| dewey-full | 571.65401519233 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 571 - Physiology & related subjects |
| dewey-raw | 571.65401519233 |
| dewey-search | 571.65401519233 |
| dewey-sort | 3571.65401519233 |
| dewey-tens | 570 - Biology |
| discipline | Biologie |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01062nam a2200301 c 4500</leader><controlfield tag="001">BV040628849</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140930 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">121212s2012 d||| m||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)835278709</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBV730678113</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-188</subfield><subfield code="a">DE-12</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">571.65401519233</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">570</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Keller, Peter</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematical modeling of molecular motors</subfield><subfield code="c">von Peter Keller</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">II, 116 S.</subfield><subfield code="b">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">Potsdam, Univ., Diss., 2012</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="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=025456172&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-025456172</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV040628849 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:27:48Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025456172 |
| oclc_num | 835278709 |
| open_access_boolean | |
| owner | DE-188 DE-12 |
| owner_facet | DE-188 DE-12 |
| physical | II, 116 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| record_format | marc |
| spelling | Keller, Peter Verfasser aut Mathematical modeling of molecular motors von Peter Keller 2012 II, 116 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Potsdam, Univ., Diss., 2012 (DE-588)4113937-9 Hochschulschrift gnd-content DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025456172&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Keller, Peter Mathematical modeling of molecular motors |
| subject_GND | (DE-588)4113937-9 |
| title | Mathematical modeling of molecular motors |
| title_auth | Mathematical modeling of molecular motors |
| title_exact_search | Mathematical modeling of molecular motors |
| title_full | Mathematical modeling of molecular motors von Peter Keller |
| title_fullStr | Mathematical modeling of molecular motors von Peter Keller |
| title_full_unstemmed | Mathematical modeling of molecular motors von Peter Keller |
| title_short | Mathematical modeling of molecular motors |
| title_sort | mathematical modeling of molecular motors |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025456172&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kellerpeter mathematicalmodelingofmolecularmotors |