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Transfer Function, Stabilizability, and Detectability of Non-autonomous Riesz-spectral Systems Sutrima Sutrima; Christiana Rini Indrati; Lina Aryati
TELKOMNIKA (Telecommunication Computing Electronics and Control) Vol 16, No 6: December 2018
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/telkomnika.v16i6.10112

Abstract

Stability of a state linear system can be identified by controllability, observability, stabilizability, detectability, and transfer function. The approximate controllability and observability of non-autonomous Riesz-spectral systems have been established as well as non-autonomous Sturm-Liouville systems. As a continuation of the establishments, this paper concern on the analysis of the transfer function, stabilizability, and detectability of the non-autonomous Riesz-spectral systems. A strongly continuous quasi semigroup approach is implemented. The results show that the transfer function, stabilizability, and detectability can be established comprehensively in the non-autonomous Riesz-spectral systems. In particular, sufficient and necessary conditions for the stabilizability and detectability can be constructed. These results are parallel with infinite dimensional of autonomous systems.
Link of Nasopharyngeal Carcinoma and Epstein-Barr Virus Sugiyanto Sugiyanto; Lina Aryati; Fajar Adi Kusumo; Mardiah Suci Hardianti
Biology, Medicine, & Natural Product Chemistry Vol 7, No 2 (2018)
Publisher : Sunan Kalijaga State Islamic University & Society for Indonesian Biodiversity

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (468.443 KB) | DOI: 10.14421/biomedich.2018.72.51-55

Abstract

Nasopharyngeal Carcinoma (NPC) is a cancer that occurs in nasopharynx which is associated with Epstein-Barr Virus (EBV). Mutation agents in nasopharyngeal neoplasms occur because of EBV infection. Transformation of B-cells due to EBV causes hormone imbalance in lymphoid cells or nasopharyngeal epithelial tissue. Rates of EBV infection have been shown to be prognostic to NPC. The basic level of EBV DNA can be used for stratification prognosis, with higher titers showing greater disease severity and worse outcomes. With mathematical models, there is a correlation between the increase in Epstein-Barr Virus and the increase in Invasive Carcinoma Cells or increase in Nasopharyngeal Carcinoma Cells.
A Stability Mathematical Model of Nasopharyngeal Carcinoma on Cellular Level Sugiyanto Sugiyanto; Fajar Adi Kusumo; Lina Aryati; Mardiah Suci Hardianti
Biology, Medicine, & Natural Product Chemistry Vol 5, No 2 (2016)
Publisher : Sunan Kalijaga State Islamic University & Society for Indonesian Biodiversity

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (452.355 KB) | DOI: 10.14421/biomedich.2016.52.61-64

Abstract

This paper discussed the stability of “Tumorigenesis Models” to link between EBV and carcinoma of the nasopharyngeal from normal cell to invasive carcinoma. The review on this case accomplished the previous theorem of equilibrium point on “Tumorigenesis Models”.