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Does the geometric location of odontoblast differentiation and dentinal tubules depend on a reaction-diffusion system between BMP2 and Noggin? A mathematical model.


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Información de la publicación
Tipo de publicación

Científica

Tipología

Investigación y estudios

Medio de publicación

Impreso: Revista indexada

Resumen

INTRODUCTION: The mesenchymal differentiation to odontoblasts is a complex process that determines the formation of dentinal tubules. This process involves a carefully regulated sequence of changes in the behavior of mesenchymal cells coordinated by the expression of different molecular factors that includes mainly the Noggin and bone morphogenetic protein type 2 (BMP2).

METHODS: We investigated a bioregulatory mathematic model based on a set of equations of reaction-diffusion to predict the geometry of the formation of the dentinal tubules.

RESULTS: We found that odontoblast location and the dentinal tubules formation are determined by the spatial distribution of a set of molecular signals that compete among themselves to maintain places of the greatest concentration of BMP2, which determines the step from mesenchymal cells to odontoblasts and the formation of the dentinal tubulus.

CONCLUSIONS: This mathematic model suggests a regulatory loop between BMP2 and Noggin, which is highly stable and repeatable and determines the right location patterns of the odontoblasts and the formation of dentinal tubules. This mathematic approach allows us to understand biological phenomena and biochemical activity during the period of pulp differentiation.

Autores

Javier L. Niño-Barrera
Diego A. Garzon-Alvarado

Registro ISSN

0099-2399 (Print) 1878-3554 (Electronic)

SNIES Área

Dentistry

SNIES Categoría

Mathematics (miscellaneous)

Fecha de publicación 01 de diciembre de 2012
Fecha de aceptación 20 de junio de 2014
Medio indexado (nombre)

Journal of endodontics. JOE

Bases de datos donde está referenciada

PUBMED

English information
Title

Does the geometric location of odontoblast differentiation and dentinal tubules depend on a reaction-diffusion system between BMP2 and Noggin? A mathematical model.

Abstract

INTRODUCTION: The mesenchymal differentiation to odontoblasts is a complex process that determines the formation of dentinal tubules. This process involves a carefully regulated sequence of changes in the behavior of mesenchymal cells coordinated by the expression of different molecular factors that includes mainly the Noggin and bone morphogenetic protein type 2 (BMP2).
METHODS: We investigated a bioregulatory mathematic model based on a set of equations of reaction-diffusion to predict the geometry of the formation of the dentinal tubules.
RESULTS: We found that odontoblast location and the dentinal tubules formation are determined by the spatial distribution of a set of molecular signals that compete among themselves to maintain places of the greatest concentration of BMP2, which determines the step from mesenchymal cells to odontoblasts and the formation of the dentinal tubulus.
CONCLUSIONS: This mathematic model suggests a regulatory loop between BMP2 and Noggin, which is highly stable and repeatable and determines the right location patterns of the odontoblasts and the formation of dentinal tubules. This mathematic approach allows us to understand biological phenomena and biochemical activity during the period of pulp differentiation.

Keywords

Bone morphogenetic protein type 2, Noggin, mathe- matic models, reaction-diffusion, tubules

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