Traveling wave formation in vertebrate segmentation

Koichiro Uriu, Yoshihiro Morishita, Yoh Iwasa

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

In vertebrate somitogenesis, "segmentation clock" genes (such as her in zebrafish, hairy in chick, and hes in mouse) show oscillation, synchronized over nearby cells through cell-cell interaction. The locations of high gene expression appear with regular intervals and move like a wave from posterior to anterior with the speed slowing down toward the anterior end. We analyze traveling wave pattern of her gene expression when there is an anterior-posterior gradient of one of the reaction rates in the gene-protein kinetics. We adopt a model which includes the kinetics of mRNA and proteins of her gene in each cell and cell-cell interaction by Delta-Notch system explicitly. We show that the observed spatio-temporal pattern can be explained if mRNA degradation, protein translation, protein transportation to nucleus occurs faster, or mRNA transcription, Delta protein synthesis occurs slower in posterior than in anterior regions. All of these gradients are those that produce longer periodicity of oscillation of clock gene expression in the anterior than in the posterior. Based on this result, we derive a mathematical formula for how the peak of gene expression moves along the pre-somitic mesoderm.

Original languageEnglish
Pages (from-to)385-396
Number of pages12
JournalJournal of Theoretical Biology
Volume257
Issue number3
DOIs
Publication statusPublished - Apr 7 2009

Fingerprint

Gene expression
Traveling Wave
Vertebrates
Segmentation
vertebrates
Proteins
Gene Expression
Cell
Cell Communication
Messenger RNA
Genes
Protein
Clocks
gene expression
cells
Gene
Kinetics
oscillation
RNA Stability
Protein Biosynthesis

All Science Journal Classification (ASJC) codes

  • Medicine(all)
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Modelling and Simulation
  • Statistics and Probability
  • Applied Mathematics

Cite this

Traveling wave formation in vertebrate segmentation. / Uriu, Koichiro; Morishita, Yoshihiro; Iwasa, Yoh.

In: Journal of Theoretical Biology, Vol. 257, No. 3, 07.04.2009, p. 385-396.

Research output: Contribution to journalArticle

Uriu, Koichiro ; Morishita, Yoshihiro ; Iwasa, Yoh. / Traveling wave formation in vertebrate segmentation. In: Journal of Theoretical Biology. 2009 ; Vol. 257, No. 3. pp. 385-396.
@article{d99e0cde8be44dcb933f6f4dcf6a5d63,
title = "Traveling wave formation in vertebrate segmentation",
abstract = "In vertebrate somitogenesis, {"}segmentation clock{"} genes (such as her in zebrafish, hairy in chick, and hes in mouse) show oscillation, synchronized over nearby cells through cell-cell interaction. The locations of high gene expression appear with regular intervals and move like a wave from posterior to anterior with the speed slowing down toward the anterior end. We analyze traveling wave pattern of her gene expression when there is an anterior-posterior gradient of one of the reaction rates in the gene-protein kinetics. We adopt a model which includes the kinetics of mRNA and proteins of her gene in each cell and cell-cell interaction by Delta-Notch system explicitly. We show that the observed spatio-temporal pattern can be explained if mRNA degradation, protein translation, protein transportation to nucleus occurs faster, or mRNA transcription, Delta protein synthesis occurs slower in posterior than in anterior regions. All of these gradients are those that produce longer periodicity of oscillation of clock gene expression in the anterior than in the posterior. Based on this result, we derive a mathematical formula for how the peak of gene expression moves along the pre-somitic mesoderm.",
author = "Koichiro Uriu and Yoshihiro Morishita and Yoh Iwasa",
year = "2009",
month = "4",
day = "7",
doi = "10.1016/j.jtbi.2009.01.003",
language = "English",
volume = "257",
pages = "385--396",
journal = "Journal of Theoretical Biology",
issn = "0022-5193",
publisher = "Academic Press Inc.",
number = "3",

}

TY - JOUR

T1 - Traveling wave formation in vertebrate segmentation

AU - Uriu, Koichiro

AU - Morishita, Yoshihiro

AU - Iwasa, Yoh

PY - 2009/4/7

Y1 - 2009/4/7

N2 - In vertebrate somitogenesis, "segmentation clock" genes (such as her in zebrafish, hairy in chick, and hes in mouse) show oscillation, synchronized over nearby cells through cell-cell interaction. The locations of high gene expression appear with regular intervals and move like a wave from posterior to anterior with the speed slowing down toward the anterior end. We analyze traveling wave pattern of her gene expression when there is an anterior-posterior gradient of one of the reaction rates in the gene-protein kinetics. We adopt a model which includes the kinetics of mRNA and proteins of her gene in each cell and cell-cell interaction by Delta-Notch system explicitly. We show that the observed spatio-temporal pattern can be explained if mRNA degradation, protein translation, protein transportation to nucleus occurs faster, or mRNA transcription, Delta protein synthesis occurs slower in posterior than in anterior regions. All of these gradients are those that produce longer periodicity of oscillation of clock gene expression in the anterior than in the posterior. Based on this result, we derive a mathematical formula for how the peak of gene expression moves along the pre-somitic mesoderm.

AB - In vertebrate somitogenesis, "segmentation clock" genes (such as her in zebrafish, hairy in chick, and hes in mouse) show oscillation, synchronized over nearby cells through cell-cell interaction. The locations of high gene expression appear with regular intervals and move like a wave from posterior to anterior with the speed slowing down toward the anterior end. We analyze traveling wave pattern of her gene expression when there is an anterior-posterior gradient of one of the reaction rates in the gene-protein kinetics. We adopt a model which includes the kinetics of mRNA and proteins of her gene in each cell and cell-cell interaction by Delta-Notch system explicitly. We show that the observed spatio-temporal pattern can be explained if mRNA degradation, protein translation, protein transportation to nucleus occurs faster, or mRNA transcription, Delta protein synthesis occurs slower in posterior than in anterior regions. All of these gradients are those that produce longer periodicity of oscillation of clock gene expression in the anterior than in the posterior. Based on this result, we derive a mathematical formula for how the peak of gene expression moves along the pre-somitic mesoderm.

UR - http://www.scopus.com/inward/record.url?scp=61449136686&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=61449136686&partnerID=8YFLogxK

U2 - 10.1016/j.jtbi.2009.01.003

DO - 10.1016/j.jtbi.2009.01.003

M3 - Article

VL - 257

SP - 385

EP - 396

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

SN - 0022-5193

IS - 3

ER -