Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Andrei HALANAY"'
Publikováno v:
Axioms, Vol 13, Iss 7, p 464 (2024)
This mathematical model delves into the dynamics of the immune system during Chronic Myeloid Leukemia (CML) therapy with imatinib. The focus lies in elucidating the allergic reactions induced by imatinib, specifically its impact on T helper (Th) cell
Externí odkaz:
https://doaj.org/article/9d81e5b6664d45a38d7ba2ae86302187
Publikováno v:
Axioms, Vol 13, Iss 2, p 102 (2024)
We present a mathematical model that captures the dynamics of the immune system during allergic reactions. Using delay differential equations, we depict the evolution of T cells, APCs, and IL6, considering cell migration between various body compartm
Externí odkaz:
https://doaj.org/article/e3fb2344f8ec4d93a8bd190ede04b9d4
Publikováno v:
Mathematics, Vol 11, Iss 14, p 3225 (2023)
We introduce a new model that captures the cellular evolution of patients with chronic lymphocytic leukemia who are receiving chemotherapy. As chemotherapy can induce allergic reactions and tumor lysis syndrome, we took into account the process of de
Externí odkaz:
https://doaj.org/article/a3bbb5d8f49b4288a346e395a5d8a6e0
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1307 (2023)
In this work, we first introduce a class of deterministic epidemic models with varying populations inspired by Arino et al. (2007), the parameterization of two matrices, demography, the waning of immunity, and vaccination parameters. Similar models h
Externí odkaz:
https://doaj.org/article/b0c8ca54d47549079afadc6b5ceb8cb9
Publikováno v:
Symmetry, Vol 14, Iss 5, p 995 (2022)
Our paper presents three new classes of models: SIR-PH, SIR-PH-FA, and SIR-PH-IA, and states two problems we would like to solve about them. Recall that deterministic mathematical epidemiology has one basic general law, the “R0 alternative” of Va
Externí odkaz:
https://doaj.org/article/8c9f3cce8d7f44d78491eb14bdf5f408
Publikováno v:
Mathematics, Vol 10, Iss 3, p 402 (2022)
We revisit here a landmark five-parameter SIR-type model, which is maybe the simplest example where a complete picture of all cases, including non-trivial bistability behavior, may be obtained using simple tools. We also generalize it by adding essen
Externí odkaz:
https://doaj.org/article/45145eb946d143f094e5e0622650eef0
Autor:
Ana-Maria BORDEI, Andrei HALANAY
Publikováno v:
INCAS Bulletin, Vol 9, Iss 4, Pp 21-29 (2017)
The paper presents the stability analysis of the equilibria in a longitudinal flight of an unmanned aircraft with constant forward velocity. The motion of the aircraft is described using delay differential equations with constant delays, the delay be
Externí odkaz:
https://doaj.org/article/e438f37f902c4948a4e2a82ea546df37
Publikováno v:
International Journal of Control. :1-12
Autor:
Andrei Halanay, Daniela Enciu
Publikováno v:
International Journal of Control. 95:1543-1550
In this paper, the stability of an equilibrium of a feedback nonlinear system with time delay and structural switching is studied. The critical case of a zero root of the characteristic equations o...
Publikováno v:
Mathematics, Vol 10, Iss 402, p 402 (2022)
Mathematics; Volume 10; Issue 3; Pages: 402
Mathematics; Volume 10; Issue 3; Pages: 402
We revisit here a landmark five parameter SIR-type model of [DvdD93, Sec. 4], which is maybe the simplest example where a complete picture of all cases, including non-trivial bistability behavior, may be obtained using simple tools. We also generaliz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51f0b4bf03a32828ff0dd49274f55fce