Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method

Pınar Oral; Mehmet Merdan; Zafer Bekiryazıcı

doi:10.17776/csj.460984

TR EN

Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method

Abstract

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.

Keywords

Zeeman Heartbeat Model,Variance,Random differential equation,Expected value,Padé approximation

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Pınar Oral
0000-0002-6149-437X

Mehmet Merdan ^*
0000-0002-8509-3044
Türkiye

Zafer Bekiryazıcı
0000-0001-5671-9995

Publication Date

June 30, 2019

Submission Date

September 18, 2018

Acceptance Date

May 15, 2019

Published in Issue

Year 2019 Volume: 40 Number: 2

DOI

https://doi.org/10.17776/csj.460984

IZ

https://izlik.org/JA48DB56AM

Cite

RIS / Bibtex

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. https://doi.org/10.17776/csj.460984

Cited By

Application of Formable Transform for Solving Growth and Decay Problems, Logistic Growth Model and Prey-Predator Model

Cumhuriyet Science Journal

https://doi.org/10.17776/csj.1221388

Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method

Diferansiyel Dönüşüm Yöntemi İle Rastgele Kalp Atış Modelinin Analizi

Öz

Anahtar Kelimeler

Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Application of Formable Transform for Solving Growth and Decay Problems, Logistic Growth Model and Prey-Predator Model