Iterative identification algorithm for tumor model using controlled ARMA model

  • Kiavash Hossein Sadeghi*
  • , Abolhassan Razminia
  • , Arash Marashian
  • *Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

Since system identification of a tumor model is a primary need for controlling tumor model system, accessing suitable and applicable identification methods is a necessary object. In this paper, firstly, for estimating controlled auto-regressive moving average (CARMA) systems, two identification methods, namely generalized projection algorithm (GPA) and two-stage GPA (2S-GPA), are introduced and presented in order to estimate unknown parameters of a specific and vital tumor model. Furthermore, effectiveness of such methods, like convergence rate and estimation error, are discussed and considered. The introduced algorithms are simulated to prove these methods effectiveness, and data derived from the simulations are depicted through tables and figures.

Original languageEnglish
Pages (from-to)69-83
Number of pages15
JournalJournal of Mathematical Modeling
Volume13
Issue number1
DOIs
Publication statusPublished - Mar 2025
MoE publication typeA1 Journal article-refereed

Keywords

  • Generalized projection algorithms
  • parameter estimation
  • system identification
  • two-stage identification

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