Abstract
To analyze the effect of pollution on marine life, it is important to know how exactly the concentration of toxic substances decreases with time. There are several semi-empirical formulas that describe this decrease. In this paper, we provide a theoretical explanation for these empirical formulas.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
V.M. Guillemin, S. Sternberg, An algebraic model of transitive differential geometry. Bull. Am. Math. Soc. 70(1), 16–47 (1964)
M.C. Newman, Quantitative Methods in Aquatic Ecotoxicology (Lewis Publishers, Boca Raton, Ann Arbor, London, and Tolyo, 1995)
H.T. Nguyen, V. Kreinovich, Applications of Continuous Mathematics to Computer Science (Kluwer, Dordrecht, 1997)
J.C. Robinson, An Introduction to Ordinary Differential Equations (Cambridge University Press, Cambridge, UK, 2004)
I. M. Singer, S. Sternberg, Infinite groups of Lie and Cartan, Part 1. J. d’Analyse Mathematique XV, 1–113 (1965)
M. Tenenbaum, H. Pollard, Ordinary Differential Equations (Dover Publications, New York, 2022)
Acknowledgements
This work was supported in part by the National Science Foundation grants:
\(\bullet \) 1623190 (A Model of Change for Preparing a New Generation for Professional Practice in Computer Science), and
\(\bullet \) HRD-1834620 and HRD-2034030 (CAHSI Includes).
It was also supported by the AT &T Fellowship in Information Technology, and by the program of the development of the Scientific-Educational Mathematical Center of Volga Federal District No. 075-02-2020-1478. The authors are thankful to the participants of the 2022 UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Science (El Paso, Texas, November 5, 2022) for valuable discussions.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Hernandez, D.R., M. Molina Holguin, G., Parra, F., Sanchez, V., Kreinovich, V. (2023). Aquatic Ecotoxicology: Theoretical Explanation of Empirical Formulas. In: Ceberio, M., Kreinovich, V. (eds) Uncertainty, Constraints, and Decision Making. Studies in Systems, Decision and Control, vol 484. Springer, Cham. https://doi.org/10.1007/978-3-031-36394-8_3
Download citation
DOI: https://doi.org/10.1007/978-3-031-36394-8_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-36393-1
Online ISBN: 978-3-031-36394-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)