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European Consortium for Mathematics in Industry

ECMI 2016: Progress in Industrial Mathematics at ECMI 2016 pp 193–200Cite as

Modeling Oxygen Consumption in Germinating Seeds

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Part of the book series: Mathematics in Industry ((TECMI,volume 26))

Abstract

The consumption of oxygen by a germinating seed is assumed to be a good indicator of seed vitality and can potentially be used to predict the germination time. With the current availability of relatively simple single-seed respiration measurement methods and more oxygen consumption data opportunities emerge for detailed analysis of the underlying mechanisms relating respiration to germination processes. Due to the complex (structural and physiological) nature of seeds experimental analysis alone is very difficult. Mathematical modeling may provide an insight into the relationship between the germination of seeds and respiration. We have approached this problem by considering the population dynamics of mitochondria in seeds subject to limited oxygen supply and present a simple but rigorous and easily testable mathematical model that can handle large amounts of data and is interpretable in terms of the effective biological parameters of the seeds.

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Author information

Authors and Affiliations

  1. Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, The Netherlands

    Neil Budko & Fred Vermolen

  2. Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA, Leiden, The Netherlands

    Bert van Duijn & Sander Hille

Authors
  1. Neil Budko
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  2. Bert van Duijn
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  3. Sander Hille
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  4. Fred Vermolen
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Corresponding author

Correspondence to Neil Budko .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Peregrina Quintela

  2. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Patricia Barral

  3. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Dolores Gómez

  4. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Francisco J. Pena

  5. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Jerónimo Rodríguez

  6. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Pilar Salgado

  7. Department of Applied Mathematics, University of Santiago de Compostela, Lugo, Spain, Spain

    Miguel E. Vázquez-Méndez

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Budko, N., Duijn, B.v., Hille, S., Vermolen, F. (2017). Modeling Oxygen Consumption in Germinating Seeds. In: Quintela, P., et al. Progress in Industrial Mathematics at ECMI 2016. ECMI 2016. Mathematics in Industry(), vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-63082-3_29

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