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Mathematical Biosciences and Engineering

2013, Volume 10, Issue 3: 913-923. doi: 10.3934/mbe.2013.10.913
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A flexible multivariable model for Phytoplankton growth

  • 1.
    Department of Mathematical Sciences, Cameron University, Lawton, OK 73505
  • 2.
    School of Medicine, University of Alabama at Birmingham, Birmingham AL 35294
  • Received: 01 May 2012 Accepted: 29 June 2018 Published: 01 April 2013

  • MSC : 91B62, 62P10.

  • We introduce a new multivariable model to be used to studythe growth dynamics of phytoplankton as a function of both time and theconcentration of nutrients. This model is applied to a set of experimentaldata which describes the rate of growth as a function of these two variables.The form of the model allows easy extension to additional variables. Thus, themodel can be used to analyze experimental data regarding the effects ofvarious factors on phytoplankton growth rate. Such a model will also be usefulin analysis of the role of concentration of various nutrients or traceelements, temperature, and light intensity, or other important explanatoryvariables, or combinations of such variables, in analyzing phytoplanktongrowth dynamics.

    Citation: Mohammad A. Tabatabai, Wayne M. Eby, Sejong Bae, Karan P. Singh. A flexible multivariable model for Phytoplankton growth[J]. Mathematical Biosciences and Engineering, 2013, 10(3): 913-923. doi: 10.3934/mbe.2013.10.913

    Related Papers:

  • We introduce a new multivariable model to be used to studythe growth dynamics of phytoplankton as a function of both time and theconcentration of nutrients. This model is applied to a set of experimentaldata which describes the rate of growth as a function of these two variables.The form of the model allows easy extension to additional variables. Thus, themodel can be used to analyze experimental data regarding the effects ofvarious factors on phytoplankton growth rate. Such a model will also be usefulin analysis of the role of concentration of various nutrients or traceelements, temperature, and light intensity, or other important explanatoryvariables, or combinations of such variables, in analyzing phytoplanktongrowth dynamics.


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    [1] J. Plankton Research 23, (2001), 840-2001.
    [2] New Phytol., 181 (2009), 295-309.
    [3] in "2005 Proceedings of the American Statistical Association Biometrics Section [CD-ROM]" (V. A. Alexandria), (2006), American Statistical Association, 190-197.
    [4] J. Mar. Biol. Assoc. UK, 54 (1974), 825-855.
    [5] Hydrobiologia, 555 (2006), 3-18.
    [6] BMC Cancer, 10 (2010), pp. 509.
    [7] Mar. Ecol. Prog. Ser., 80 (1992), 285-290.
    [8] J. Plankton Research, 23 (2001), 977-997.
    [9] Plant Physiol, 144 (2007), 54-59.
    [10] Limnol. Oceanogr., 35 (1990), 971-972.
    [11] J. Phycol., 39 (2003), 1145-1159.
    [12] J. Plankton Research, 10 (1991), 163-172.
    [13] Bull. Math. Biol., 55 (1993), 259-275.
    [14] Bioprocess Biosyst. Eng., 27 (2005), 319-327.
    [15] J. Theor. Biol., 259 (2009), 582-588.
    [16] Annales de l'Inst. Pasteur, 79 (1950), 390-410.
    [17] Fourth Edition. Addison Wesley Publishing Company, 1996, Reading, MA.
    [18] J. Plankton Res., 12 (1990), 1207-1221.
    [19] Estuaries, 22 (1999), 92-104.
    [20] New Zealand Journal of Marine and Freshwater Research, 37 (2003), 267-272.
    [21] Limnol. Oceanogr., 34 (1989), 198-205.
    [22] PNAS, 99 (2002), 8101-8105.
    [23] Med. & Biol. Eng. & Comp., 49 (2011), 253-262.
    [24] Mathematical and Computer Modelling, 53 (2011), 755-768.
    [25] Theoretical Biology and Medical Modeling, 2 (2005), 1-13.
    [26] Japan. J. Plankton Res., 8 (1986), 1039-1049.
    [27] Limnology and Oceanography, 28 (1983), 1144-1155.
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  • © 2013 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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