Branching process models of cancer:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | Mathematical Biosciences Institute Lecture Series
1,1 : Stochastics in biological systems |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (VII, 63 S.) 6 illus., 2 illus. in color |
| ISBN: | 9783319160658 |
| DOI: | 10.1007/978-3-319-16065-8 |
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Record in the Search Index
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| adam_text | BRANCHING PROCESS MODELS OF CANCER
/ DURRETT, RICHARD
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
MULTISTAGE THEORY OF CANCER
MATHEMATICAL OVERVIEW
BRANCHING PROCESS RESULTS
TIME FOR Z_0 TO REACH SIZE M
TIME UNTIL THE FIRST TYPE 1
MUTATION BEFORE DETECTION?
ACCUMULATION OF NEUTRAL MUTATIONS
PROPERTIES OF THE GAMMA FUNCTION
GROWTH OF Z_1(T)
MOVEMENTS OF Z_1(T)
LURIA-DELBRUCK DISTRIBUTIONS
NUMBER OF TYPE 1 S AT TIME T_M
GWOTH OF Z_K(T)
TRANSITIONS BETWEEN WAVES
TIME TO THE FIRST TYPE TAU_K, K GE 2
APPLICATION: METASTASIS
APPLICATION: OVARIAN CANCER
APPLICATION: INTRATUMOR HETEROGENEITY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
BRANCHING PROCESS MODELS OF CANCER
/ DURRETT, RICHARD
: 2015
ABSTRACT / INHALTSTEXT
THIS VOLUME DEVELOPS RESULTS ON CONTINUOUS TIME BRANCHING PROCESSES AND
APPLIES THEM TO STUDY RATE OF TUMOR GROWTH, EXTENDING CLASSIC WORK ON
THE LURIA-DELBRUCK DISTRIBUTION. AS A CONSEQUENCE, THE AUTHORS CALCULATE
THE PROBABILITY THAT MUTATIONS THAT CONFER RESISTANCE TO TREATMENT ARE
PRESENT AT DETECTION AND QUANTIFY THE EXTENT OF TUMOR HETEROGENEITY. AS
APPLICATIONS, THE AUTHORS EVALUATE OVARIAN CANCER SCREENING STRATEGIES
AND GIVE RIGOROUS PROOFS FOR RESULTS OF HEANO AND MICHOR CONCERNING
TUMOR METASTASIS. THESE NOTES SHOULD BE ACCESSIBLE TO STUDENTS WHO ARE
FAMILIAR WITH POISSON PROCESSES AND CONTINUOUS TIME. RICHARD DURRETT IS
MATHEMATICS PROFESSOR AT DUKE UNIVERSITY, USA. HE IS THE AUTHOR OF 8
BOOKS, OVER 200 JOURNAL ARTICLES, AND HAS SUPERVISED MORE THAN 40 PH.D.
STUDENTS. MOST OF HIS CURRENT RESEARCH CONCERNS THE APPLICATIONS OF
PROBABILITY TO BIOLOGY: ECOLOGY, GENETICS, AND MOST RECENTLY CANCER
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| dewey-full | 519.2 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-16065-8 |
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| indexdate | 2024-07-10T07:07:04Z |
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| spelling | Durrett, Richard 1951- Verfasser (DE-588)121396789 aut Branching process models of cancer Richard Durrett Cham [u.a.] Springer 2015 1 Online-Ressource (VII, 63 S.) 6 illus., 2 illus. in color txt rdacontent c rdamedia cr rdacarrier Mathematical Biosciences Institute Lecture Series 1,1 : Stochastics in biological systems Mathematics Oncology Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematical and Computational Biology Cancer Research Mathematik Erscheint auch als Druckausgabe 978-3-319-16064-1 Mathematical Biosciences Institute Lecture Series 1,1 : Stochastics in biological systems (DE-604)BV042604489 1,1 https://doi.org/10.1007/978-3-319-16065-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028101436&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028101436&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Durrett, Richard 1951- Branching process models of cancer Mathematical Biosciences Institute Lecture Series Mathematics Oncology Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematical and Computational Biology Cancer Research Mathematik |
| title | Branching process models of cancer |
| title_auth | Branching process models of cancer |
| title_exact_search | Branching process models of cancer |
| title_full | Branching process models of cancer Richard Durrett |
| title_fullStr | Branching process models of cancer Richard Durrett |
| title_full_unstemmed | Branching process models of cancer Richard Durrett |
| title_short | Branching process models of cancer |
| title_sort | branching process models of cancer |
| topic | Mathematics Oncology Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematical and Computational Biology Cancer Research Mathematik |
| topic_facet | Mathematics Oncology Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematical and Computational Biology Cancer Research Mathematik |
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