Yıl: 2019 Cilt: 40 Sayı: 2 Sayfa Aralığı: 285 - 298 Metin Dili: İngilizce DOI: 10.17776/csj.460984 İndeks Tarihi: 28-01-2020

Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method

Öz:
In this paper, the differential transformation method is used to examine the random Zeeman Heartbeat Model. Some of the parameters and the initial conditions of the model are taken as random variables with Beta and Normal distributions, respectively. The approximate analytical solution of the random Zeeman Model is obtained and used to find the expectation and variance of the model components. The results from the random models including Beta and normal distributed random effects are compared and the approximate numerical characteristics are obtained for these cases. The approximate formulas are also modified by using Laplace-Padé Method to increase the convergence interval of the approximations.
Anahtar Kelime:

Diferansiyel Dönüşüm Yöntemi İle Rastgele Kalp Atış Modelinin Analizi

Öz:
Bu çalışmada, rastgele Zeeman Kalpatış Modelinin incelenmesi için diferansiyel dönüşüm yöntemi kullanılmıştır. Modelin bazı parametreleri ve başlangıç koşulları sırasıyla Beta ve Normal dağılımlara sahip rastgele değişkenler olarak alınmıştır. Rastgele Zeeman Modelinin yaklaşık analitik çözümü elde edilmiş ve model bileşenlerinin beklenen değer ve varyansı elde edilmiştir. Beta ve normal olarak dağılmış rastgele etkiler altında, rastgele modellerin sonuçları karşılaştırılmış ve bu durumlar için elde edilen yaklaşık sayısal karakteristikler karşılaştırılmıştır. Elde edilen yaklaşık formüllere, yaklaşımların yakınsama aralığını artırmak için Laplace-Padé Metodu uygulanarak iyileştirilmiş çözümler bulunmuştur.
Anahtar Kelime:

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APA ORAL P, MERDAN M, Bekiryazıcı Z (2019). Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method. , 285 - 298. 10.17776/csj.460984
Chicago ORAL Pınar,MERDAN Mehmet,Bekiryazıcı Zafer Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method. (2019): 285 - 298. 10.17776/csj.460984
MLA ORAL Pınar,MERDAN Mehmet,Bekiryazıcı Zafer Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method. , 2019, ss.285 - 298. 10.17776/csj.460984
AMA ORAL P,MERDAN M,Bekiryazıcı Z Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method. . 2019; 285 - 298. 10.17776/csj.460984
Vancouver ORAL P,MERDAN M,Bekiryazıcı Z Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method. . 2019; 285 - 298. 10.17776/csj.460984
IEEE ORAL P,MERDAN M,Bekiryazıcı Z "Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method." , ss.285 - 298, 2019. 10.17776/csj.460984
ISNAD ORAL, Pınar vd. "Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method". (2019), 285-298. https://doi.org/10.17776/csj.460984
APA ORAL P, MERDAN M, Bekiryazıcı Z (2019). Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method. Cumhuriyet Science Journal, 40(2), 285 - 298. 10.17776/csj.460984
Chicago ORAL Pınar,MERDAN Mehmet,Bekiryazıcı Zafer Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method. Cumhuriyet Science Journal 40, no.2 (2019): 285 - 298. 10.17776/csj.460984
MLA ORAL Pınar,MERDAN Mehmet,Bekiryazıcı Zafer Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method. Cumhuriyet Science Journal, vol.40, no.2, 2019, ss.285 - 298. 10.17776/csj.460984
AMA ORAL P,MERDAN M,Bekiryazıcı Z Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method. Cumhuriyet Science Journal. 2019; 40(2): 285 - 298. 10.17776/csj.460984
Vancouver ORAL P,MERDAN M,Bekiryazıcı Z Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method. Cumhuriyet Science Journal. 2019; 40(2): 285 - 298. 10.17776/csj.460984
IEEE ORAL P,MERDAN M,Bekiryazıcı Z "Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method." Cumhuriyet Science Journal, 40, ss.285 - 298, 2019. 10.17776/csj.460984
ISNAD ORAL, Pınar vd. "Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method". Cumhuriyet Science Journal 40/2 (2019), 285-298. https://doi.org/10.17776/csj.460984