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Mathematical Biosciences and Engineering

2006, Volume 3, Issue 4: 635-660. doi: 10.3934/mbe.2006.3.635
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Modeling shrimp biomass and viral infection for production of biological countermeasures

  • 1.
    Center for Research in Scientific Computation, Raleigh, NC 27695-8205
  • 2.
    Advanced Bionutrition Corporation, 6430 Dobbin Road, Columbia, MD 21045
  • 3.
    Marine Resources Research Institute, South Carolina Department of Natural Resources, 217 Ft. Johnson Rd. (P.O. Box 12559), Charleston, SC 29422
  • Received: 01 December 2005 Accepted: 29 June 2018 Published: 01 August 2006

  • MSC : 92D25, 92D30, 35L60, 65M06.

  • In this paper we develop a mathematical model for the rapid production of large quantities of therapeutic and preventive countermeasures. We couple equations for biomass production with those for vaccine production in shrimp that have been infected with a recombinant viral vector expressing a foreign antigen. The model system entails both size and class-age structure.

    Citation: H. Thomas Banks, V. A. Bokil, Shuhua Hu, A. K. Dhar, R. A. Bullis, C. L. Browdy, F.C.T. Allnutt. Modeling shrimp biomass and viral infection for production of biological countermeasures[J]. Mathematical Biosciences and Engineering, 2006, 3(4): 635-660. doi: 10.3934/mbe.2006.3.635

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  • In this paper we develop a mathematical model for the rapid production of large quantities of therapeutic and preventive countermeasures. We couple equations for biomass production with those for vaccine production in shrimp that have been infected with a recombinant viral vector expressing a foreign antigen. The model system entails both size and class-age structure.


  • This article has been cited by:

    1. H T Banks, Jimena L Davis, Stacey L Ernstberger, Shuhua Hu, Elena Artimovich, Arun K Dhar, Experimental design and estimation of growth rate distributions in size-structured shrimp populations, 2009, 25, 0266-5611, 095003, 10.1088/0266-5611/25/9/095003
    2. H. T. Banks, Jimena L. Davis, Shuhua Hu, 2010, Chapter 2, 978-3-642-11277-5, 19, 10.1007/978-3-642-11278-2_2
    3. H. T. Banks, J. L. Davis, S. L. Ernstberger, Shuhua Hu, E. Artimovich, A. K. Dhar, C. L. Browdy, A comparison of probabilistic and stochastic formulations in modelling growth uncertainty and variability, 2009, 3, 1751-3758, 130, 10.1080/17513750802304877
    4. Nonlinear stochastic Markov processes and modeling uncertainty in populations, 2012, 9, 1551-0018, 1, 10.3934/mbe.2012.9.1
    5. H.T. Banks, W. Clayton Thompson, Mathematical Models of Dividing Cell Populations: Application to CFSE Data, 2012, 7, 0973-5348, 24, 10.1051/mmnp/20127504
    6. Áron Fehér, Lőrinc Márton, 2023, Approximation Based H∞ Control of Linear Systems with State Delays, 978-89-93215-27-4, 115, 10.23919/ICCAS59377.2023.10316986
    7. H. Banks, Stacey Ernstberger, Shuhua Hu, Sensitivity equations for a size-structured population model, 2009, 67, 0033-569X, 627, 10.1090/S0033-569X-09-01105-1
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  • © 2006 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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    沈阳化工大学材料科学与工程学院 沈阳 110142

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