A linear code parameter search algorithm with applications to immunology

  • Authors:

  • Gregory M. Constantine;John Bartels;Carson C. Chow;Gilles Clermont;Yoram Vodovotz

  • Affiliations:

  • Department of Mathematics, University of Pittsburgh, Pittsburgh, USA 15260;Immunetrics, Inc., Pittsburgh, USA 15260;Department of Mathematics, University of Pittsburgh, Pittsburgh, USA 15260;Department of Critical Care Medicine, University of Pittsburgh Medical Center, Pittsburgh, USA 15260;Department of Surgery, University of Pittsburgh Medical Center, Pittsburgh, USA 15260

  • Venue:
  • Computational Optimization and Applications
  • Year:
  • 2009

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Abstract

The immune system is modeled by way of a system of ordinary differential equations involving a large number of parameters, such as growth rates and initial conditions. Key to successful implementation of the model is the estimation of such parameters from available data. A parameter search algorithm based on linear codes is developed having as aim the identification of different regimes of behaviour of the model, the estimation of parameters in a high dimensional space, and the model calibration to data.