Mathematical models for biological pattern formation:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New York; Berlin [u.a.]
Springer
2001
|
| Schriftenreihe: | Institute for Mathematics and Its Applications <Minneapolis, Minn.>: The IMA volumes in mathematics and its applications
121 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | X, 317 S. Ill., graph. Darst. |
| ISBN: | 0387951032 |
Internformat
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| 245 | 1 | 0 | |a Mathematical models for biological pattern formation |c Philip K. Maini ..., ed. |
| 264 | 1 | |a New York; Berlin [u.a.] |b Springer |c 2001 | |
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| 490 | 1 | |a Institute for Mathematics and Its Applications <Minneapolis, Minn.>: The IMA volumes in mathematics and its applications |v 121 | |
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| 650 | 4 | |a Pattern formation (Biology) |x Mathematical models | |
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Datensatz im Suchindex
| _version_ | 1804128246443278336 |
|---|---|
| adam_text | CONTENTS
Foreword
.............................................................
v
Dedication
..........................................................
vii
Biological pattern formation
-
a marriage of theory
and experiment
....................................................... 1
J.D. Murray
Spatiotemporal
pattern formation in early development:
A review of primitive streak formation and somitogenesis
............. 11
5. Schnell, K.J.
Painter, P.K.
Maini,
and H.G. Othmer
Mathematical modeling of vertebrate limb development
............... 39
Robert H. Dillon
Models for pigment pattern formation in the skin of fishes
............ 59
K.J.
Painter
Generic modelling of vegetation patterns. A case study
of Tiger Bush in sub-Saharian Sahel
.................................. 83
R. Lefever, O. Lejeune, and P. Couteron
Chemical Turing patterns: A model system of a paradigm
for morphogenesis
................................................... 113
David J.
Wollkind
and Laura E. Stephenson
Beyond spots and stripes: Generation of more complex
patterns by modifications and additions of the basic reaction
........ 143
Hans Meinhardt
Spatiotemporal
patterning in models of juxtacrine
intercellular signalling with feedback
................................ 165
Nicholas A.M. Monk, Jonathan A. Sherratt,
and
Markus R. Owen
Modelling Dictyostelium discoideum morphogenesis
.................. 193
Bakhtier Vasiev and Cornelis J. Weijer
X
CONTENTS
Modeling branching and chiral colonial patterning
of lubricating bacteria
.............................................. 211
Eshel Ben-Jacob,
Inon
Cohen,
Ido
Golding,
and Yonathan Kozlovsky
Modeling self-propelled deformable cell motion
in the Dictyostelium mound; a status report
......................... 255
Wouter-Jan Rappel,
Herbert
Levine, Alastair Nicol,
and
William F.
Loomis
A minimal model of locomotion applied to the steady
gliding movement of fish keratocyte cells
............................ 269
A. Mogilner, E. Marland, and D.
Bottino
Computer simulations of mechanochemical coupling
in a deforming domain: Applications to cell motion
.................. 295
Dean C.
Bottino
List of workshop participants
....................................... 315
THE IMA VOLUMES IN MATHEMATICS
AND ITS APPLICATIONS
The formation of patterns in developing biological systems involves the
spatiotemporal
coordination of growth, cell-cell signalling, tissue move¬
ment, gene expression, and cell differentiation. The interactions of these
complex processes are generally nonlinear, and thus mathematical mod¬
elling and analysis are needed to provide the framework in which to com¬
pute the outcome of different hypotheses on modes of interaction and to
make experimentally testable predictions.
This collection contains papers exploring several aspects of the hierarchy
of processes occurring during pattern formation. A number of papers
address the modelling of cell movement and deformation, with applica¬
tion to pattern formation within a collection of cells in response to exter¬
nal signalling cues. The results are considered in the context of pattern
generation in Dictyostelium discoideum and bacterial colonies.
A number of models at the macroscopic level explore the possible mech¬
anisms underlying
spatiotemporal
pattern generation in early develop¬
ment, focussing on primitive streak, somitogenesis, vertebrate limb
development, and pigmentation patterning. The latter two applications
consider in detail the effects of growth on patterning. The potential of
models to generate more complex patterns is considered, and models
involving different modes of cell-cell signalling are investigated. Pattern
selection is analyzed in the context of chemical Turing patterns, which
serve as a paradigm for morphogenesis, and a model for vegetation pat¬
terns is presented.
|
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| dewey-ones | 570 - Biology |
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| discipline | Biologie Mathematik |
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| id | DE-604.BV013453272 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:46:12Z |
| institution | BVB |
| isbn | 0387951032 |
| language | English |
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| physical | X, 317 S. Ill., graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | Springer |
| record_format | marc |
| series | Institute for Mathematics and Its Applications <Minneapolis, Minn.>: The IMA volumes in mathematics and its applications |
| series2 | Institute for Mathematics and Its Applications <Minneapolis, Minn.>: The IMA volumes in mathematics and its applications |
| spelling | Mathematical models for biological pattern formation Philip K. Maini ..., ed. New York; Berlin [u.a.] Springer 2001 X, 317 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Institute for Mathematics and Its Applications <Minneapolis, Minn.>: The IMA volumes in mathematics and its applications 121 Mathematisches Modell Pattern formation (Biology) Mathematical models Musterbildung (DE-588)4137934-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Biologie (DE-588)4006851-1 s Musterbildung (DE-588)4137934-2 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Maini, Philip K. Sonstige oth Institute for Mathematics and Its Applications <Minneapolis, Minn.>: The IMA volumes in mathematics and its applications 121 (DE-604)BV002813070 121 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009184062&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009184062&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Mathematical models for biological pattern formation Institute for Mathematics and Its Applications <Minneapolis, Minn.>: The IMA volumes in mathematics and its applications Mathematisches Modell Pattern formation (Biology) Mathematical models Musterbildung (DE-588)4137934-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Biologie (DE-588)4006851-1 gnd |
| subject_GND | (DE-588)4137934-2 (DE-588)4114528-8 (DE-588)4006851-1 |
| title | Mathematical models for biological pattern formation |
| title_auth | Mathematical models for biological pattern formation |
| title_exact_search | Mathematical models for biological pattern formation |
| title_full | Mathematical models for biological pattern formation Philip K. Maini ..., ed. |
| title_fullStr | Mathematical models for biological pattern formation Philip K. Maini ..., ed. |
| title_full_unstemmed | Mathematical models for biological pattern formation Philip K. Maini ..., ed. |
| title_short | Mathematical models for biological pattern formation |
| title_sort | mathematical models for biological pattern formation |
| topic | Mathematisches Modell Pattern formation (Biology) Mathematical models Musterbildung (DE-588)4137934-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Biologie (DE-588)4006851-1 gnd |
| topic_facet | Mathematisches Modell Pattern formation (Biology) Mathematical models Musterbildung Biologie |
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