Mathematical modeling of the interaction between yolk utilization and fish growth in zebrafish, Danio rerio.
Mathematical modeling of the interaction between yolk utilization and fish growth in zebrafish, Danio rerio.
复制标题
DOI：
10.1242/dev.193508
复制
发表时间：
2021-05
期刊：
影响因子：
4.6
通讯作者：
Ashley V. Schwartz;Karilyn E. Sant;Julian M Navarrete;Uduak Z. George
中科院分区：
文献类型：
--
作者：
Ashley V. Schwartz;Karilyn E. Sant;Julian M Navarrete;Uduak Z. George
最佳的胚胎发育在发育阶段之后的个体健康中起着重要作用。发育期间的营养紊乱与以后生活中的心血管和代谢疾病有关。由于营养摄取和整体生长都是最终健康的风险因素，因此不仅需要了解发育过程中的行为，而且还需要了解它们的相互作用。在这项研究中，我们使用微分方程，图像分析，曲线拟合，参数估计和实验室实验来量化蛋黄吸收率及其对脊椎动物模型（Danio rerio）早期发育的影响。这项研究的结果建立了营养吸收和早期鱼类生长之间的非线性函数关系。我们发现，鱼的长度和蛋黄利用率的变化率是逻辑斯蒂，即蛋黄迅速衰减一段时间后才趋于平稳。这项研究的一个有趣的发现是，卵黄利用率在受精后84 h达到最大值。我们根据实验观察验证了我们的数学模型，使其成为复制和未来模拟的强大工具。
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.