Abstract Litopenaeus vannamei or Pacific white shrimp is one of the main shrimp species cultivated around the world. Despite its easy handling, there is no detailed description of its metabolic performance. This work developed a novel mathematical model for L. vannamei growth based on mass conservation and chemical equations for feed oxidation, allowing to calculate shrimp specific growth rate, specific rate of feed consumption, specific rate of ammonia nitrogen excretion, and oxygen specific consumption rate. Results, when compared to literature data, indicate a correlation higher than 99%, demonstrating that the proposed approach can successfully predict the growth based on the assessed parameters. Through this strategy it is possible to optimize the management of shrimp cultivation, especially in relation to dissolved oxygen, availability of feed and ammonia excretion, according to each stage of shrimp growth. Based on the environmental conditions maintained during the present study, the result of the present mathematical model can be a potential tool for reducing costs and environmental impacts in aquaculture shrimp farm.

中文翻译：

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南美白对虾（Litopenaeus vannamei）生长饲料转化的实证模型

摘要 南美白对虾或太平洋白虾是世界各地养殖的主要虾种之一。尽管它易于处理，但没有对其代谢性能的详细描述。这项工作基于质量守恒和饲料氧化的化学方程式开发了一种新的南美白对虾生长数学模型，可以计算虾的比生长率、比饲料消耗率、比氨氮排泄率和比氧消耗率。与文献数据相比，结果表明相关性高于 99%，表明所提出的方法可以根据评估参数成功预测增长。通过这种策略，可以优化对虾养殖的管理，尤其是与溶解氧有关的管理，根据虾生长的每个阶段，饲料的可用性和氨的排泄量。基于本研究期间保持的环境条件，本数学模型的结果可以成为降低水产养殖虾场成本和环境影响的潜在工具。