Finding the center of a phyllotactic pattern

The calculation of divergence angles between primordia in a plant apex depends on the point used as the center of the apex. In mathematically ideal phyllotactic patterns, the center is well defined but there has not been a precise definition for the center of naturally occurring phyllotactic pattern...

Full description

Saved in:
Bibliographic Details
Published inJournal of theoretical biology Vol. 225; no. 1; pp. 15 - 32
Main Author Hotton, Scott
Format Journal Article
LanguageEnglish
Published England Elsevier Ltd 07.11.2003
Subjects
Online AccessGet full text

Cover

Loading…
Abstract The calculation of divergence angles between primordia in a plant apex depends on the point used as the center of the apex. In mathematically ideal phyllotactic patterns, the center is well defined but there has not been a precise definition for the center of naturally occurring phyllotactic patterns. A few techniques have been proposed for estimating the location of the center but without a precise definition for the center the accuracy of these methods cannot be known. This paper provides a precise definition that can be used as the center of a phyllotactic pattern and a numerical method which can accurately find it. These tools will make it easier to compare theory against experiment in phyllotaxis.
AbstractList The calculation of divergence angles between primordia in a plant apex depends on the point used as the center of the apex. In mathematically ideal phyllotactic patterns, the center is well defined but there has not been a precise definition for the center of naturally occurring phyllotactic patterns. A few techniques have been proposed for estimating the location of the center but without a precise definition for the center the accuracy of these methods cannot be known. This paper provides a precise definition that can be used as the center of a phyllotactic pattern and a numerical method which can accurately find it. These tools will make it easier to compare theory against experiment in phyllotaxis.
Author Hotton, Scott
Author_xml – sequence: 1
  givenname: Scott
  surname: Hotton
  fullname: Hotton, Scott
  email: zeno@math.smith.edu
  organization: Department of Mathematics and Statistics, Miami University, Oxford, OH 45056, UK
BackLink https://www.ncbi.nlm.nih.gov/pubmed/14559056$$D View this record in MEDLINE/PubMed
BookMark eNqFkE1LAzEQhoNU7If-BGVPouBqsvnY5iRSrAoFD-o5bJNZG9lm1yQr9N-b2qJHITAJ88y85BmjgWsdIHRK8DXBRNy8YFwUOSeSXmB6mR6kzPEBGhEseT7ljAzQ6BcZonEIHxhjyag4QkPCOJeYixG6mltnrHvP4goyDS6Cz9o6q7JutWmaNlY6Wp11VUwNd4wO66oJcLKvE_Q2v3-dPeaL54en2d0i11SQmEuzrDUFSZishVxymEohixqoLhjTXEhNaGFoRaWRpZlSURumWSk5EWms1HSCznd7O99-9hCiWtugoWkqB20fVEmKUmJME8h3oPZtCB5q1Xm7rvxGEay2mtSPJrV1oHA6W03pMkFn-4B-uQbzN7X3koDbHQDpm18WvAragtNgrAcdlWntPxHfAXB3OQ
CitedBy_id crossref_primary_10_1038_nature12791
crossref_primary_10_1016_j_jtbi_2012_08_007
Cites_doi 10.5586/asbp.1998.017
10.2307/2444231
10.1086/319576
10.1007/BF00194054
10.1007/BF01403879
10.1007/s00332-002-0513-1
10.1006/jtbi.1996.0024
10.1046/j.1365-313X.2001.01350.x
10.2307/2441873
ContentType Journal Article
Copyright 2003 Elsevier Ltd
Copyright_xml – notice: 2003 Elsevier Ltd
DBID CGR
CUY
CVF
ECM
EIF
NPM
AAYXX
CITATION
7X8
DOI 10.1016/S0022-5193(03)00217-0
DatabaseName Medline
MEDLINE
MEDLINE (Ovid)
MEDLINE
MEDLINE
PubMed
CrossRef
MEDLINE - Academic
DatabaseTitle MEDLINE
Medline Complete
MEDLINE with Full Text
PubMed
MEDLINE (Ovid)
CrossRef
MEDLINE - Academic
DatabaseTitleList MEDLINE - Academic
MEDLINE

Database_xml – sequence: 1
  dbid: NPM
  name: PubMed
  url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed
  sourceTypes: Index Database
– sequence: 2
  dbid: EIF
  name: MEDLINE
  url: https://proxy.k.utb.cz/login?url=https://www.webofscience.com/wos/medline/basic-search
  sourceTypes: Index Database
DeliveryMethod fulltext_linktorsrc
Discipline Biology
EISSN 1095-8541
EndPage 32
ExternalDocumentID 10_1016_S0022_5193_03_00217_0
14559056
S0022519303002170
Genre Journal Article
GroupedDBID ---
--K
--M
-DZ
-~X
.GJ
.~1
0R~
1B1
1RT
1~.
1~5
29L
3O-
4.4
457
4G.
53G
5GY
5RE
5VS
7-5
71M
8P~
9JM
AABNK
AABVA
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALCJ
AALRI
AAOAW
AAQFI
AAQXK
AATLK
AAXUO
ABFNM
ABFRF
ABGRD
ABJNI
ABMAC
ABTAH
ABXDB
ABYKQ
ACDAQ
ACGFO
ACGFS
ACNCT
ACRLP
ADBBV
ADEZE
ADFGL
ADMUD
ADQTV
AEBSH
AEFWE
AEKER
AENEX
AEQOU
AETEA
AFFNX
AFKWA
AFTJW
AFXIZ
AGHFR
AGUBO
AGYEJ
AHHHB
AI.
AIEXJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ASPBG
AVWKF
AXJTR
AZFZN
BKOJK
BLXMC
CAG
CBWCG
COF
CS3
DM4
DU5
EBS
EFBJH
EFLBG
EJD
EO8
EO9
EP2
EP3
F5P
FA8
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
HLV
HVGLF
HZ~
H~9
IHE
J1W
KOM
LG5
LW8
M41
MO0
MVM
N9A
O-L
O9-
OAUVE
OHT
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
SAB
SCC
SDF
SDG
SDP
SES
SEW
SPCBC
SSA
SSZ
T5K
TN5
UQL
VH1
WUQ
XPP
YQT
ZGI
ZMT
ZU3
ZXP
ZY4
~02
~G-
~KM
AAXKI
AKRWK
CGR
CUY
CVF
ECM
EIF
NPM
AAYXX
AFJKZ
CITATION
7X8
ID FETCH-LOGICAL-c361t-9dbfc3e9149f69b5e89692fe3c244c569c132d3a39d97d836fd4c479516c3e7c3
IEDL.DBID AIKHN
ISSN 0022-5193
IngestDate Fri Oct 25 00:51:04 EDT 2024
Thu Sep 26 16:24:49 EDT 2024
Sat Sep 28 08:37:04 EDT 2024
Fri Feb 23 02:27:16 EST 2024
IsPeerReviewed true
IsScholarly true
Issue 1
Keywords Morphogenesis
Pattern formation
Morphometries
Phyllotaxis
Meristem development
Organogenesis
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c361t-9dbfc3e9149f69b5e89692fe3c244c569c132d3a39d97d836fd4c479516c3e7c3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
PMID 14559056
PQID 71279003
PQPubID 23479
PageCount 18
ParticipantIDs proquest_miscellaneous_71279003
crossref_primary_10_1016_S0022_5193_03_00217_0
pubmed_primary_14559056
elsevier_sciencedirect_doi_10_1016_S0022_5193_03_00217_0
PublicationCentury 2000
PublicationDate 2003-11-07
PublicationDateYYYYMMDD 2003-11-07
PublicationDate_xml – month: 11
  year: 2003
  text: 2003-11-07
  day: 07
PublicationDecade 2000
PublicationPlace England
PublicationPlace_xml – name: England
PublicationTitle Journal of theoretical biology
PublicationTitleAlternate J Theor Biol
PublicationYear 2003
Publisher Elsevier Ltd
Publisher_xml – name: Elsevier Ltd
References Atela, Golé, Hotton (BIB1) 2002; 12
Bravais, Bravais (BIB4) 1837; 8
Williams, Green (BIB15) 1988; 147
Hofmeister, W., 1868. Allgemeine Morphologie der Gewachse. In: Handbuch der Physiologischen Botanik, Vol. 1. Engelmann, Leipzig, pp. 405–664.
Bravais, Bravais (BIB2) 1837; 7
Douady, Couder (BIB6) 1996; 178
Maksymowych, Erickson (BIB11) 1977; 64
Meicenheimer (BIB13) 1986; 12
Hill (BIB9) 2001; 162
Sattler (BIB14) 1973
Williams (BIB16) 1975
Dumais, Kwiatkowska (BIB7) 2002; 31
Matkowski, Karwowski, Zagórska-Marek (BIB12) 1998; 67
Devaney (BIB5) 1989
Bravais, Bravais (BIB3) 1837; 7
Hernandez, Havelange, Bernier, Green (BIB8) 1991; 185
Devaney (10.1016/S0022-5193(03)00217-0_BIB5) 1989
Matkowski (10.1016/S0022-5193(03)00217-0_BIB12) 1998; 67
Atela (10.1016/S0022-5193(03)00217-0_BIB1) 2002; 12
Maksymowych (10.1016/S0022-5193(03)00217-0_BIB11) 1977; 64
Bravais (10.1016/S0022-5193(03)00217-0_BIB4) 1837; 8
Hill (10.1016/S0022-5193(03)00217-0_BIB9) 2001; 162
10.1016/S0022-5193(03)00217-0_BIB10
Bravais (10.1016/S0022-5193(03)00217-0_BIB3) 1837; 7
Williams (10.1016/S0022-5193(03)00217-0_BIB16) 1975
Williams (10.1016/S0022-5193(03)00217-0_BIB15) 1988; 147
Dumais (10.1016/S0022-5193(03)00217-0_BIB7) 2002; 31
Hernandez (10.1016/S0022-5193(03)00217-0_BIB8) 1991; 185
Meicenheimer (10.1016/S0022-5193(03)00217-0_BIB13) 1986; 12
Sattler (10.1016/S0022-5193(03)00217-0_BIB14) 1973
Douady (10.1016/S0022-5193(03)00217-0_BIB6) 1996; 178
Bravais (10.1016/S0022-5193(03)00217-0_BIB2) 1837; 7
References_xml – year: 1975
  ident: BIB16
  publication-title: The Shoot Apex and Leaf Growth
  contributor:
    fullname: Williams
– volume: 147
  start-page: 77
  year: 1988
  end-page: 79
  ident: BIB15
  article-title: Sequential scanning electron microscopy of a growing plant meristem
  publication-title: Protoplasma
  contributor:
    fullname: Green
– volume: 178
  start-page: 255
  year: 1996
  end-page: 274
  ident: BIB6
  article-title: Phyllotaxis as a self organizing iterative process, Part I
  publication-title: J. Theor. Biol.
  contributor:
    fullname: Couder
– volume: 12
  start-page: 641
  year: 2002
  end-page: 676
  ident: BIB1
  article-title: A dynamical system for plant pattern formation: a rigorous analysis
  publication-title: J. Nonlinear Sci.
  contributor:
    fullname: Hotton
– volume: 7
  start-page: 42
  year: 1837
  end-page: 110
  ident: BIB2
  article-title: Essai sur la disposition des feuilles curvisériées
  publication-title: Ann. Sci. Nat.
  contributor:
    fullname: Bravais
– volume: 7
  start-page: 193
  year: 1837
  end-page: 221, 291–348
  ident: BIB3
  article-title: Essai sur la disposition symmétrique des inflorescences
  publication-title: Ann. Sci. Nat.
  contributor:
    fullname: Bravais
– year: 1989
  ident: BIB5
  publication-title: An Introduction Chaotic Dynamical Systems
  contributor:
    fullname: Devaney
– volume: 185
  start-page: 139
  year: 1991
  end-page: 147
  ident: BIB8
  article-title: Growth behavior of single epidermal cells during flower formation: sequential scanning electron micrographs provide kinematic patterns for Anagallis
  publication-title: Planta
  contributor:
    fullname: Green
– volume: 67
  start-page: 151
  year: 1998
  end-page: 159
  ident: BIB12
  article-title: Two algorithms of determining the middle point of the shoot apex by surrounding organ primordia positions and their usage for computer measurements of divergence angles
  publication-title: Acta Soc. Bot. Pol.
  contributor:
    fullname: Zagórska-Marek
– volume: 8
  start-page: 11
  year: 1837
  end-page: 42
  ident: BIB4
  publication-title: Ann. Sci. Nat.
  contributor:
    fullname: Bravais
– year: 1973
  ident: BIB14
  publication-title: Organogenesis of Flowers; A Photographic Text-Atlas
  contributor:
    fullname: Sattler
– volume: 64
  start-page: 33
  year: 1977
  end-page: 44
  ident: BIB11
  article-title: Phyllotactic change induced by gibberellic acid in
  publication-title: Am. J. Bot.
  contributor:
    fullname: Erickson
– volume: 162
  start-page: 235
  year: 2001
  end-page: 247
  ident: BIB9
  article-title: Meristem development at the sporophyll pinna apex in
  publication-title: Int. J. Plant Sci.
  contributor:
    fullname: Hill
– volume: 31
  start-page: 229
  year: 2002
  end-page: 241
  ident: BIB7
  article-title: Analysis of surface growth in shoot apices
  publication-title: Plant J.
  contributor:
    fullname: Kwiatkowska
– volume: 12
  start-page: 1649
  year: 1986
  end-page: 1664
  ident: BIB13
  article-title: Role of parenchyma in linum usitatissimum leaf trace pattern
  publication-title: Am. J. Bot.
  contributor:
    fullname: Meicenheimer
– volume: 67
  start-page: 151
  issue: 2
  year: 1998
  ident: 10.1016/S0022-5193(03)00217-0_BIB12
  article-title: Two algorithms of determining the middle point of the shoot apex by surrounding organ primordia positions and their usage for computer measurements of divergence angles
  publication-title: Acta Soc. Bot. Pol.
  doi: 10.5586/asbp.1998.017
  contributor:
    fullname: Matkowski
– volume: 12
  start-page: 1649
  year: 1986
  ident: 10.1016/S0022-5193(03)00217-0_BIB13
  article-title: Role of parenchyma in linum usitatissimum leaf trace pattern
  publication-title: Am. J. Bot.
  doi: 10.2307/2444231
  contributor:
    fullname: Meicenheimer
– year: 1973
  ident: 10.1016/S0022-5193(03)00217-0_BIB14
  contributor:
    fullname: Sattler
– volume: 162
  start-page: 235
  year: 2001
  ident: 10.1016/S0022-5193(03)00217-0_BIB9
  article-title: Meristem development at the sporophyll pinna apex in Ceratopteris richardii
  publication-title: Int. J. Plant Sci.
  doi: 10.1086/319576
  contributor:
    fullname: Hill
– volume: 185
  start-page: 139
  year: 1991
  ident: 10.1016/S0022-5193(03)00217-0_BIB8
  article-title: Growth behavior of single epidermal cells during flower formation: sequential scanning electron micrographs provide kinematic patterns for Anagallis
  publication-title: Planta
  doi: 10.1007/BF00194054
  contributor:
    fullname: Hernandez
– ident: 10.1016/S0022-5193(03)00217-0_BIB10
– volume: 147
  start-page: 77
  year: 1988
  ident: 10.1016/S0022-5193(03)00217-0_BIB15
  article-title: Sequential scanning electron microscopy of a growing plant meristem
  publication-title: Protoplasma
  doi: 10.1007/BF01403879
  contributor:
    fullname: Williams
– volume: 12
  start-page: 641
  issue: 6
  year: 2002
  ident: 10.1016/S0022-5193(03)00217-0_BIB1
  article-title: A dynamical system for plant pattern formation: a rigorous analysis
  publication-title: J. Nonlinear Sci.
  doi: 10.1007/s00332-002-0513-1
  contributor:
    fullname: Atela
– year: 1975
  ident: 10.1016/S0022-5193(03)00217-0_BIB16
  contributor:
    fullname: Williams
– volume: 178
  start-page: 255
  year: 1996
  ident: 10.1016/S0022-5193(03)00217-0_BIB6
  article-title: Phyllotaxis as a self organizing iterative process, Part I
  publication-title: J. Theor. Biol.
  doi: 10.1006/jtbi.1996.0024
  contributor:
    fullname: Douady
– volume: 31
  start-page: 229
  year: 2002
  ident: 10.1016/S0022-5193(03)00217-0_BIB7
  article-title: Analysis of surface growth in shoot apices
  publication-title: Plant J.
  doi: 10.1046/j.1365-313X.2001.01350.x
  contributor:
    fullname: Dumais
– year: 1989
  ident: 10.1016/S0022-5193(03)00217-0_BIB5
  contributor:
    fullname: Devaney
– volume: 64
  start-page: 33
  year: 1977
  ident: 10.1016/S0022-5193(03)00217-0_BIB11
  article-title: Phyllotactic change induced by gibberellic acid in Xanthium shoot apices
  publication-title: Am. J. Bot.
  doi: 10.2307/2441873
  contributor:
    fullname: Maksymowych
– volume: 7
  start-page: 42
  year: 1837
  ident: 10.1016/S0022-5193(03)00217-0_BIB2
  article-title: Essai sur la disposition des feuilles curvisériées
  publication-title: Ann. Sci. Nat.
  contributor:
    fullname: Bravais
– volume: 7
  start-page: 193
  year: 1837
  ident: 10.1016/S0022-5193(03)00217-0_BIB3
  article-title: Essai sur la disposition symmétrique des inflorescences
  publication-title: Ann. Sci. Nat.
  contributor:
    fullname: Bravais
– volume: 8
  start-page: 11
  year: 1837
  ident: 10.1016/S0022-5193(03)00217-0_BIB4
  publication-title: Ann. Sci. Nat.
  contributor:
    fullname: Bravais
SSID ssj0009436
Score 1.756709
Snippet The calculation of divergence angles between primordia in a plant apex depends on the point used as the center of the apex. In mathematically ideal...
SourceID proquest
crossref
pubmed
elsevier
SourceType Aggregation Database
Index Database
Publisher
StartPage 15
SubjectTerms Algorithms
Biomechanical Phenomena
Meristem development
Methods
Morphogenesis
Morphometries
Organogenesis
Pattern formation
Phyllotaxis
Plant Development
Plants - anatomy & histology
Title Finding the center of a phyllotactic pattern
URI https://dx.doi.org/10.1016/S0022-5193(03)00217-0
https://www.ncbi.nlm.nih.gov/pubmed/14559056
https://search.proquest.com/docview/71279003
Volume 225
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3PS8MwFH7MDcGL-Nv5Y_bgQcFsTdOmzXEMx1TcycFuIU1TGIxuzO3gxb_dl7RleBiC0FMgafiSvve95n0vAPdRnmidKUqUFglBD62J8kNFKE-pSZBwZKHVDr-P-WgSvk6jaQMGtRbGplVWtr-06c5aVy29Cs3ecjazGt_Ayi7RBjtijXF7yx0SNaHVf3kbjbe1d0N3U6BLXLcdtkKechDX-OCzRzcO8Xe5qF0U1Lmi4REcVhzS65fTPIaGKU5gv7xV8usUnoYzJ1XxkNt5NvnSrLxF7ikPEZ3PF2sni_KWrrBmcQaT4fPHYESqSxGIZpyuicjSXDMjMLLJuUgjBJSLIDdMo6PWERca48uMKSYyEWcJ43kW6jBGIsWxW6zZOTSLRWEuwdNxkDM_yNI0SEOleUINFcqnRguq8NtsQ7fGQS7L2hdymxSGwEkLnPTxscBJvw1JjZb8tYgS7fNfXe9qdCVucHtqoQqz2HzKmAax_d3ahosS9O1cQgyHkMBd_f-113BQZudR4sc30FyvNuYWWcY67cBe95t2qr30A3NHyTg
link.rule.ids 315,783,787,4511,24130,27938,27939,45599,45693
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3PS8MwFA5jInoRfzt_rQcPCmZrmjZtjjIcU7edNtgtpGkKg9GO2R28-Lf7krYUD0MQegpNGr6k732vfV8eQg9BGimVSIKl4hEGD62wdH2JCYuJjoBwJL7RDk-mbDT33xfBooUGtRbGpFVWtr-06dZaVy39Cs3-erk0Gl_PyC7BBltiDXH7nm_Oz4JN3ftu8jy4b-sE2rR1c3sj4ymHsI2PLn2yo2B3l4PaRUCtIxoeo6OKQTov5SRPUEtnp2i_rCn5dYaeh0srVHGA2Tkm9VJvnDx1pAN4rlZ5YUVRztoeq5mdo_nwdTYY4aokAlaUkQLzJE4V1RzimpTxOAA4GfdSTRW4aRUwriC6TKikPOFhElGWJr7yQ6BRDLqFil6gdpZn-go5KvRS6npJHHuxLxWLiCZcukQrTiS8mR3Uq3EQ6_LkC9GkhAFwwgAnXLgMcMLtoKhGS_xaQgHW-a-u3RpdAdvb_LOQmc63nyIkXmg-tnbQZQl6Mxez2EDfrv__2C46GM0mYzF-m37coMMyT49gN7xF7WKz1XfAN4r43u6nH0jbyho
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Finding+the+center+of+a+phyllotactic+pattern&rft.jtitle=Journal+of+theoretical+biology&rft.au=Hotton%2C+Scott&rft.date=2003-11-07&rft.issn=0022-5193&rft.volume=225&rft.issue=1&rft.spage=15&rft_id=info:doi/10.1016%2FS0022-5193%2803%2900217-0&rft_id=info%3Apmid%2F14559056&rft.externalDocID=14559056
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-5193&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-5193&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-5193&client=summon