Mathematical modeling of the interaction between yolk utilization and fish growth in zebrafish, Danio rerio.
Embryonic development
Logistic growth
Mathematical modeling
Parameter estimation
Yolk absorption
Zebrafish
Journal
Development (Cambridge, England)
ISSN: 1477-9129
Titre abrégé: Development
Pays: England
ID NLM: 8701744
Informations de publication
Date de publication:
01 05 2021
01 05 2021
Historique:
received:
02
06
2020
accepted:
29
03
2021
entrez:
7
5
2021
pubmed:
8
5
2021
medline:
5
10
2021
Statut:
ppublish
Résumé
Optimal embryonic development plays a major role in the health of an individual beyond the developmental stage. Nutritional perturbation during development is associated with cardiovascular and metabolic disease later in life. With both nutritional uptake and overall growth being risk factors for eventual health, it is necessary to understand not only the behavior of the processes during development but also their interactions. In this study, we used differential equations, image analyses, curve fittings, parameter estimation and laboratory experiments to quantify the rate of yolk absorption and its effect on early development of a vertebrate model (Danio rerio). Findings from this study establish a nonlinear functional relationship between nutrient absorption and early fish growth. We found that the rate of change in fish length and yolk utilization is logistic, that is the yolk decays rapidly for a period of time before leveling out. An interesting finding from this study is that yolk utilization reaches its maximum at 84 h post-fertilization. We validated our mathematical models against experimental observations, making them powerful tools for replication and future simulations.
Identifiants
pubmed: 33960383
pii: 261800
doi: 10.1242/dev.193508
pmc: PMC8126416
pii:
doi:
Types de publication
Journal Article
Research Support, N.I.H., Extramural
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Subventions
Organisme : NIEHS NIH HHS
ID : K01 ES031640
Pays : United States
Informations de copyright
© 2021. Published by The Company of Biologists Ltd.
Déclaration de conflit d'intérêts
Competing interests The authors declare no competing or financial interests.
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