Control of the p53 Protein - mdm2 Inhibitor System using Nonlinear Kalman Filtering

Gerasimos G. Rigatos, Efthymia G. Rigatou

2014

Abstract

A nonlinear feedback control scheme for the p53 protein - mdm2 inhibitor system is developed with the use of differential flatness theory and of nonlinear Kalman Filtering. It is shown that by applying differential flatness theory the protein synthesis model can be transformed into the canonical form. This enables the design of a feedback control law that maintains the concentration of the p53 protein at the desirable levels. To estimate the non-measurable elements of the state vector describing the p53-mdm2 system dynamics and to compensate for modeling uncertainties and external disturbances that affect the p53-mdm2 system, the nonlinear Kalman Filter is re-designed as a disturbance observer. The proposed nonlinear feedback control and perturbations compensation method for the p53-mdm2 system can result in more efficient chemotherapy schemes where the infusion of medication will be better administered.

Paper Citation

in Harvard Style

G. Rigatos G. and G. Rigatou E. (2014). Control of the p53 Protein - mdm2 Inhibitor System using Nonlinear Kalman Filtering . In Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms - Volume 1: BIOINFORMATICS, (BIOSTEC 2014) ISBN 978-989-758-012-3, pages 209-214. DOI: 10.5220/0004866702090214

in Bibtex Style

@conference{bioinformatics14,
author={Gerasimos G. Rigatos and Efthymia G. Rigatou},
title={Control of the p53 Protein - mdm2 Inhibitor System using Nonlinear Kalman Filtering},
booktitle={Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms - Volume 1: BIOINFORMATICS, (BIOSTEC 2014)},
year={2014},
pages={209-214},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004866702090214},
isbn={978-989-758-012-3},
}

in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms - Volume 1: BIOINFORMATICS, (BIOSTEC 2014)
TI - Control of the p53 Protein - mdm2 Inhibitor System using Nonlinear Kalman Filtering
SN - 978-989-758-012-3
AU - G. Rigatos G.
AU - G. Rigatou E.
PY - 2014
SP - 209
EP - 214
DO - 10.5220/0004866702090214