About: Analysis of an improved fractional-order model of boundary formation in the Drosophila large intestine dependent on Delta-Notch pathway

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Analysis of an improved fractional-order model of boundary formation in the Drosophila large intestine dependent on Delta-Notch pathway Goto Sponge NotDistinct Permalink

An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Analysis of an improved fractional-order model of boundary formation in the Drosophila large intestine dependent on Delta-Notch pathway
Creator	Liu, Fei Wang, Daping Duan, Li Lu, Lingyun Sun, Deshun Xiong, Jianyi
Source	Medline; PMC
abstract	In this paper, an improved fractional-order model of boundary formation in the Drosophila large intestine dependent on Delta-Notch pathway is proposed for the first time. The uniqueness, nonnegativity, and boundedness of solutions are studied. In a two cells model, there are two equilibriums (no-expression of Delta and normal expression of Delta). Local asymptotic stability is proved for both cases. Stability analysis shows that the orders of the fractional-order differential equation model can significantly affect the equilibriums in the two cells model. Numerical simulations are presented to illustrate the conclusions. Next, the sensitivity of model parameters is calculated, and the calculation results show that different parameters have different sensitivities. The most and least sensitive parameters in the two cells model and the 60 cells model are verified by numerical simulations. What is more, we compare the fractional-order model with the integer-order model by simulations, and the results show that the orders can significantly affect the dynamic and the phenotypes.
has issue date	2020-07-23(xsd:dateTime)
bibo:doi	10.1186/s13662-020-02836-1
bibo:pmid	32834816
has license	cc-by
sha1sum (hex)	1450c67720b551867968e8972506beb2e2575553
schema:url	https://doi.org/10.1186/s13662-020-02836-1
resource representing a document's title	Analysis of an improved fractional-order model of boundary formation in the Drosophila large intestine dependent on Delta-Notch pathway
has PubMed Central identifier	PMC7376541
has PubMed identifier	32834816
schema:publication	Adv Differ Equ
resource representing a document's body	covid:1450c67720b551867968e8972506beb2e2575553#body_text
is schema:about of	named entity 'model' named entity 'dependent' named entity 'Local' named entity 'cells' named entity 'LOCAL' named entity 'PHENOTYPES' named entity 'DEPENDENT' named entity 'INTEGER' named entity 'NOTCH' named entity 'CONCLUSIONS' named entity 'NUMERICAL SIMULATIONS' named entity 'COMPARE' named entity 'DYNAMIC' covid:arg/1450c67720b551867968e8972506beb2e2575553 named entity 'large intestine' named entity 'cells' named entity 'uniqueness' named entity 'calculation' named entity 'large intestine' named entity 'fractional-order' named entity 'Drosophila' named entity 'integer' named entity 'Delta-Notch' named entity 'fractional-order' named entity 'time' named entity 'differential equation model' named entity 'asymptotically stable' named entity 'sensitivity analysis' named entity 'phenotype' named entity 'fractional order' named entity 'well-posedness' named entity 'COVID-19' named entity 'asymptotic stability' named entity 'differential equation' named entity 'hindgut' named entity 'd 3' named entity 'large intestine' named entity 'SEIR' named entity 'phenotype' named entity 'gamma function' named entity 'Notch signaling pathway' named entity 'phenotype' named entity 'numerical simulations' named entity 'phenotype' named entity 'ordinary differential equation' named entity 'phenotype' named entity 'phenotype' named entity 'phenotype' named entity 'Drosophila' named entity 'large intestine' named entity 'biological systems' named entity 'differential equations' named entity 'blue line' named entity 'Shanghai' named entity 'fractional derivative' named entity 'influenza' named entity 'ith' named entity '0.9' named entity 'differential equations' named entity 'differential equations' named entity 'Notch genes' named entity 'Notch receptor' named entity 'differential equation' named entity 'Notch proteins' named entity 'nonlinear' named entity 'numerical simulations' named entity 'differential equations' named entity 'large intestine' named entity 'evolution' named entity 'Beijing' named entity 'large intestine' named entity 'boundary cells' named entity 'phenotypes' named entity 'wild-type' named entity 'mathematical model' named entity 'wild-type'

Faceted Search & Find service v1.13.91 as of Mar 24 2020

Alternative Linked Data Documents: Sponger | ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3229 as of Jul 10 2020, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (94 GB total memory)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2025 OpenLink Software