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A linear code parameter search algorithm with applications to immunology |
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| Authors: | Gregory M Constantine John Bartels Carson C Chow Gilles Clermont Yoram Vodovotz |
| Institution: | (1) Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA;(2) Immunetrics, Inc., Pittsburgh, PA 15260, USA;(3) Department of Critical Care Medicine, University of Pittsburgh Medical Center, Pittsburgh, PA 15260, USA;(4) Department of Surgery, University of Pittsburgh Medical Center, Pittsburgh, PA 15260, USA |
| 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. This work was funded under the NIH grant GM67240. |
| Keywords: | Optimization Differential equations Immune system Dynamical system modeling |
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