Abstract
This article describes Dr. Andrei Yakovlev’s unique philosophy of mathematical modeling in biomedical sciences. Although he never formulated it in a systematic way, it has always been central to his work and manifested amply in the course of the author’s 22-year research collaboration with this visionary scholar. We address methodological tensions between mathematics and biomedical sciences, epistemological status of mathematical models, and various methodological questions of a more practical nature arising in mathematical modeling and statistical data analysis including model selection, model identifiability, and concordance between the model and the observables.
Dedicated to the memory of Andrei Yakovlev (1944–2008).
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Acknowledgements
I would like to thank my wife Marina and my sons Mark and Boris for numerous suggestions on the substance and style of this paper. Their fond recollections of Andrei Yakovlev served as emotional markers that helped me recreate his thoughts about mathematical modeling. I am also grateful to Jack Hall for his insightful comments.
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Hanin, L. (2020). Principles of Mathematical Modeling in Biomedical Sciences: An Unwritten Gospel of Andrei Yakovlev. In: Almudevar, A., Oakes, D., Hall, J. (eds) Statistical Modeling for Biological Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-34675-1_19
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DOI: https://doi.org/10.1007/978-3-030-34675-1_19
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