A study on modeling of rat tumours with the discrete-time Gompertz model

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dc.contributor.authorÖzbek, Levent
dc.contributor.departmentİstatistiktr_TR
dc.contributor.facultyFen Fakültesitr_TR
dc.date.accessioned2022-12-29T11:39:39Z
dc.date.available2022-12-29T11:39:39Z
dc.date.issued2022
dc.description.abstractCancer formation is one of the pathologies whose frequency has increased in the recent years. In the literature, the compartment models, which are non-linear, are used for such problems. In nonlinear compartment models, nonlinear state space models and the extended Kalman filter (EKF) are used to estimate the parameter and the state vector. This paper presents a discrete-time Gompertz model (DTGM) for the transfer of optical contrast agent, namely indocyanine green (ICG), in the presence of tumors between the plasma and extracellular extravascular space (EES) compartments. The DTGM, which is proposed for ICG and the estimation of ICG densities used in the vascular invasion of tumor cells of the compartments and in the measurement of migration from the intravascular area to the tissues, is obtained from the experimental data of the study. The ICG values are estimated online (recursive) using the DTGM and the adaptive Kalman filter (AKF) based on the experimental data. By employing the data, the results show that the DTGM in conjunction with the AKF provides a good analysis tool for modeling the ICG in terms of mean square error (MSE), mean absolute percentage error (MAPE), and . When the results obtained from the compartment model used in the reference [9] are compared with the results obtained with the DTGM, the DTGM gives better results in terms of MSE, MAPE and R 2 criteria. The DTGM and the AKF compartment model require less numerical processing when compared to the EKF, which indicates that DTGM is a less complicated model. In the literature, EKF is used for such problems.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage1179tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue4tr_TR
dc.identifier.startpage1169tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.914887tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86628
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.914887tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıtr_TR
dc.subjectIndocyanine green, tumor cell, discrete time Gompertz models, adaptive Kalman filter, estimationtr_TR
dc.titleA study on modeling of rat tumours with the discrete-time Gompertz modeltr_TR
dc.typeArticletr_TR

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