Branching processes in biology:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2015
|
| Schriftenreihe: | Interdisciplinary applied mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Abstract Inhaltsverzeichnis |
| Beschreibung: | 1 Online-Ressource (XX, 280 p. 69 illus., 3 illus. in color) |
| ISBN: | 9781493915590 |
| ISSN: | 0939-6047 |
| DOI: | 10.1007/978-1-4939-1559-0 |
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Datensatz im Suchindex
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| adam_text | BRANCHING PROCESSES IN BIOLOGY
/ KIMMEL, MAREK
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK PROVIDES A THEORETICAL BACKGROUND OF BRANCHING PROCESSES AND
DISCUSSES THEIR BIOLOGICAL APPLICATIONS. BRANCHING PROCESSES ARE A
WELL-DEVELOPED AND POWERFUL SET OF TOOLS IN THE FIELD OF APPLIED
PROBABILITY. THE RANGE OF APPLICATIONS CONSIDERED INCLUDES MOLECULAR
BIOLOGY, CELLULAR BIOLOGY, HUMAN EVOLUTION AND MEDICINE. THE BRANCHING
PROCESSES DISCUSSED INCLUDE GALTON-WATSON, MARKOV, BELLMAN-HARRIS,
MULTITYPE, AND GENERAL PROCESSES. AS AN AID TO UNDERSTANDING SPECIFIC
EXAMPLES, TWO INTRODUCTORY CHAPTERS, AND TWO GLOSSARIES ARE INCLUDED
THAT PROVIDE BACKGROUND MATERIAL IN MATHEMATICS AND IN BIOLOGY. THE BOOK
WILL BE OF INTEREST TO SCIENTISTS WHO WORK IN QUANTITATIVE MODELING OF
BIOLOGICAL SYSTEMS, PARTICULARLY PROBABILISTS, MATHEMATICAL BIOLOGISTS,
BIOSTATISTICIANS, CELL BIOLOGISTS, MOLECULAR BIOLOGISTS, AND
BIOINFORMATICIANS.THE AUTHORS ARE A MATHEMATICIAN AND CELL BIOLOGIST WHO
HAVE COLLABORATED FOR MORE THAN A DECADE IN THE FIELD OF BRANCHING
PROCESSES IN BIOLOGY FOR THIS NEW EDITION. THIS SECOND EXPANDED EDITION
ADDS NEW MATERIAL PUBLISHED DURING THE LAST DECADE, WITH NEARLY 200 NEW
REFERENCES. MORE MATERIAL HAS BEEN ADDED ON INFINITELY-DIMENSIONAL
MULTITYPE PROCESSES, INCLUDING THE INFINITELY-DIMENSIONAL
LINEAR-FRACTIONAL CASE. HYPERGEOMETRIC FUNCTION TREATMENT OF THE SPECIAL
CASE OF THE GRIFFITHS-PAKES INFINITE ALLELE BRANCHING PROCESS HAS ALSO
BEEN ADDED. THERE ARE ADDITIONAL APPLICATIONS OF RECENT MOLECULAR
PROCESSES AND CONNECTIONS WITH SYSTEMS BIOLOGY ARE EXPLORED, AND A NEW
CHAPTER ON GENEALOGIES OF BRANCHING PROCESSES AND THEIR
APPLICATIONS.REVIEWS OF FIRST EDITION: THIS IS A SIGNIFICANT BOOK ON
APPLICATIONS OF BRANCHING PROCESSES IN BIOLOGY, AND IT IS HIGHLY
RECOMMENDED FOR THOSE READERS WHO ARE INTERESTED IN THE APPLICATION AND
DEVELOPMENT OF STOCHASTIC MODELS, PARTICULARLY THOSE WITH INTERESTS IN
CELLULAR AND MOLECULAR BIOLOGY. (SIAM REVIEW, VOL. 45 (2), 2003)
“THIS BOOK WILL BE VERY INTERESTING AND USEFUL FOR MATHEMATICIANS,
STATISTICIANS AND BIOLOGISTS AS WELL, AND ESPECIALLY FOR RESEARCHERS
DEVELOPING MATHEMATICAL METHODS IN BIOLOGY, MEDICINE AND OTHER NATURAL
SCIENCES.” (SHORT BOOK REVIEWS OF THE ISI, VOL. 23 (2), 2003)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
BRANCHING PROCESSES IN BIOLOGY
/ KIMMEL, MAREK
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
MOTIVATING EXAMPLES AND OTHER PRELIMINARIES
BIOLOGICAL BACKGROUND
THE GALTON-WATSON PROCESS
THE AGE-DEPENDENT PROCESS: MARKOV CASE
THE BELLMAN-HARRIS PROCESS
MULTITYPE PROCESSES
BRANCHING PROCESSES WITH INFINITELY MANY TYPES
GENEALOGIES OF BRANCHING PROCESSES AND THEIR APPLICATIONS
REFERENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| discipline | Biologie Mathematik |
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| spelling | Kimmel, Marek 1953- Verfasser (DE-588)1146381581 aut Branching processes in biology Marek Kimmel ; David E. Axelrod New York, NY [u.a.] Springer 2015 1 Online-Ressource (XX, 280 p. 69 illus., 3 illus. in color) txt rdacontent c rdamedia cr rdacarrier Interdisciplinary applied mathematics 0939-6047 Mathematics Bioinformatics Cytology Distribution (Probability theory) Statistics Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Probability Theory and Stochastic Processes Cell Biology Mathematik Statistik Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Biologie (DE-588)4006851-1 s Verzweigung Mathematik (DE-588)4078889-1 s DE-604 Axelrod, David E. Verfasser aut Erscheint auch als Druckausgabe 978-1-4939-1558-3 https://doi.org/10.1007/978-1-4939-1559-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027823001&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027823001&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kimmel, Marek 1953- Axelrod, David E. Branching processes in biology Mathematics Bioinformatics Cytology Distribution (Probability theory) Statistics Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Probability Theory and Stochastic Processes Cell Biology Mathematik Statistik Verzweigung Mathematik (DE-588)4078889-1 gnd Biologie (DE-588)4006851-1 gnd |
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| title | Branching processes in biology |
| title_auth | Branching processes in biology |
| title_exact_search | Branching processes in biology |
| title_full | Branching processes in biology Marek Kimmel ; David E. Axelrod |
| title_fullStr | Branching processes in biology Marek Kimmel ; David E. Axelrod |
| title_full_unstemmed | Branching processes in biology Marek Kimmel ; David E. Axelrod |
| title_short | Branching processes in biology |
| title_sort | branching processes in biology |
| topic | Mathematics Bioinformatics Cytology Distribution (Probability theory) Statistics Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Probability Theory and Stochastic Processes Cell Biology Mathematik Statistik Verzweigung Mathematik (DE-588)4078889-1 gnd Biologie (DE-588)4006851-1 gnd |
| topic_facet | Mathematics Bioinformatics Cytology Distribution (Probability theory) Statistics Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Probability Theory and Stochastic Processes Cell Biology Mathematik Statistik Verzweigung Mathematik Biologie |
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