Published June 26, 2019
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MATHEMATICAL MODEL TO FIND THE HRV WITH GROUNDED & NON GROUNDED GROUPS USING BDP AND GAMMA DISTRIBUTION
Authors/Creators
- 1. Assistant Professor, Department of Mathematics, Srinivasan College of Arts & Science, Perambalur, Tamilnadu
- 2. Associate Professor & Head, Department of Science & Humanities, Dhanalakshmi Srinivasan Engineering College, Perambalur, Tamilnadu
Description
Over the last few years, the utilization of integrative biophysics for medical application has been increasing in popularity. Grounding or earthing is the oldest and most basic form of natural bioelectric potential that supports physiological and electrophysiological changes in the body. Since previous investigations have shown that grounding profoundly affects skin conductance within seconds, we hypothesized that grounding may also improve heart rate variability (HRV). In this paper we estimate the heart rate variability with grounded & non grounded groups using birth death process through gamma distribution.
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References
- 1. Anderson W J, "Continuous-Time Markov Chains", Springer Series in Statistics, Springer, New York, 1991. 2. Anisimov S V, Mareev E A & Bakastov S S, "On the generation and evolution of aero electric structures in the surface layer", Journal of Geophysics, Volume 14, Page Number 359-367, 1999. 3. Callahan P S & Kornberg H, "Inventors; Photonic ionic cloth radio amplifier", United States Patent, Volume 5, Page Number 247-260, 1993. 4. Chen A, Pollett P, Zhang H & Cairns B, "Uniqueness criteria for continuous-time Markov chains with general transition structures", Advances in Applied Probability, Volume 37, Number 4, Page Number 1056-1074, 2005. 5. Chevalier G, Mori K & Oschman J L, "The effect of earthing (grounding) on human physiology", European Biological Management, Volume 2, Page Number 600-621, 2006. 6. Chevalier G, "Changes in pulse rate, respiratory rate, blood oxygenation, perfusion index, skin conductance and their variability induced during and after grounding human subjects for forty minutes", Journal of Alternative Complement Medicine, Volume 16, Page Number 81-87, 2010. 7. Chihara T S, "An Introduction to Orthogonal Polynomials", Gordon and Breach, New York, 1978. 8. Curtis B M, O'Keefe J H, "Autonomic tone as a cardiovascular risk factor: the dangers of chronic fight or flight", Mayo Clinical Proceedings, Volume 77, Page Number 45-54, 2002. 9. Feynman R P, Leighton R B & Sands M L, "The Feynman Lectures on Physics", Addison Wesley Publishing Corporation, 1963. 10. Ghaly M & Teplitz D, "The biological effects of grounding the human body during sleep, as measured by Cortisol levels and subjective reporting of sleep, pain, and stress", Journal of Alternative Complement Medicine, Volume 10, Page Number 767-776, 2004. 11. Karlin S & McGregor J L, "The differential equations of birth and death processes, and the Stieltjes moment problem", Transactions of the American Mathematical Society, Volume 85, Number 2, Page Number 489-546, 1957. 12. Muthaiyan A & Ramesh Kumar R J, "Stochastic Model to Find the Prognostic Ability of NT Pro-BNP in Advanced Heart Failure Patients Using Gamma Distribution", International Journal of Emerging Engineering Research and Technology, Volume 2, Issue 5, August, Page Number 40-50, 2014. 13. Muthaiyan A & Ramesh Kumar R J, "Stochastic Model to Find the Testosterone Therapy on Functional Capacity in Congestive Heart Failure Patients Using Uniform Distribution", Aryabhatta Journal of Mathematics and Informatics, Volume 6, Number 2, Page Number 343-350, 2014. 14. Nair M G & Pollett P K, "On the relationship between μ-invariant measures and quasi stationary distributions for continuous time Markov chains", Advances in Applied Probability, Volume 25, Number 1, Page Number 82-102, 1993. 15. Pollettand P K & Vere Jones D, "A note on Evanescent Processes", The Australian Journal of Statistics, Volume 34, Number 3, Page Number 531-536, 1992. 16. Ramesh Kumar R J & Muthaiyan A, "Stochastic Model to Find the Triiodothyronine Repletion in Infants during Cardiopulmonary Bypass for Congenital Heart Disease Using Normal Distribution", International Journal of Research in Advent Technology, Volume 2, Number 9, September, Page Number 39-43, 2014. 17. Van Doorn E A, "Quasi Stationary distributions and convergence to quasi stationarity of birth death processes", Advances in Applied Probability, Volume 23, Number 4, Page Number 683-700, 1991. 18. Van Doorn E A & Zeifman A I, "Birth Death processes with killing", Statistics & Probability Letters, Volume 72, Number , Page Number 33-42, 2005. 19. Vere Jones D, "Some Limit Theorems for Evanescent Processes", Australian Journal of Statistics, Volume 11, Page Number 67-78, 1969. 20. Williams E R, Boccippio D J, Susskind J, Anyamba E, Sentman D D & Bold R, "What lightning type dominates the excitation of Schumann resonances", IUGG XXI General Assembly, Boulder, Colorado, July 1995.