IJPAM: Volume 31, No. 1 (2006)
A PARAMETER SEARCH ALGORITHM BASED
ON OPTIMAL LINEAR CODES
ON OPTIMAL LINEAR CODES
Gregory M. Constantine
, John Bartels
, Marius Buliga
,
Gilles Clermont
, Yoram Vodovotz
Department of Mathematics
University of Pittsburgh
Pittsburgh, PA 15260, USA
e-mail: gmc@euler.math.pitt.edu
Immunetrics, Inc.
Pittsburgh, PA 15260, USA
Department of Mathematics
University of Pittsburgh-Bradford
Bradford, PA 16701, USA
e-mail: buliga@pitt.edu
Department of Critical Care Medicine
University of Pittsburgh Medical Center
Pittsburgh, PA 15260, USA
Department of Surgery
University of Pittsburgh Medical Center
Pittsburgh, PA 15260, USA
, John Bartels, Marius Buliga,
Gilles Clermont
, Yoram Vodovotz
Department of Mathematics
University of Pittsburgh
Pittsburgh, PA 15260, USA
e-mail: gmc@euler.math.pitt.edu
Immunetrics, Inc.
Pittsburgh, PA 15260, USA
Department of Mathematics
University of Pittsburgh-Bradford
Bradford, PA 16701, USA
e-mail: buliga@pitt.edu
Department of Critical Care Medicine
University of Pittsburgh Medical Center
Pittsburgh, PA 15260, USA
Department of Surgery
University of Pittsburgh Medical Center
Pittsburgh, PA 15260, USA
Abstract.Modeling by way of dynamical systems often leads to systems of ordinary differential equations involving a large number of parameters, such as growth rates and initial conditions. A parameter search algorithm based on optimal linear codes is developed having as aim the identification of different regimes of behaviour of the model and its calibration to data.
Received: June 7, 2006
AMS Subject Classification: 68R01, 37M05
Key Words and Phrases: optimization, differential equations, immune system, mathematical modeling
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 1
