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Extension of leap condition in approximate stochastic simulation algorithms of biological networks
Date
2020-10-27
Author
Demibüken, Saliha
Purutçuoğlu Gazi, Vilda
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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URI
https://hdl.handle.net/11511/94167
Conference Name
4th International Conference on Mathematics (ICOMATH 2020)
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Department of Statistics, Conference / Seminar
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Extension of Leap Condition in Approximate Stochastic Simulation Algorithms of Biological Networks
Demirbüken, Saliha; Purutçuoğlu Gazi, Vilda; Uğur, Ömür; Department of Scientific Computing (2021-9-08)
The approximate stochastic simulation (ASS) algorithms are the alternative approaches to generate the complex biological systems with a loss in accuracy by gaining from computational demand. There are a number of approximate methods which can successfully simulate the systems, such as poisson tau-leap and approximate Gillespie algorithms. The common property of these approaches is that they are based on the leap conditon which controls the change in hazard functions under a time interval. By means of this i...
Extension of Leap Condition in Approximate Stochastic Simulation Algorithms of Biological Networks
Demirbüken, Saliha; Purutçuoğlu Gazi, Vilda (2022-11-01)
Extension of leap condition in approximate stochastic simulation algorithms of biological networks with 2nd and 3rd order Taylor expansion
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Generation of chaos in response systems is discovered numerically through specially designed unidirectional coupling of two glow discharge-semiconductor systems. By utilizing the auxiliary system approach, [H. D. I. Abarbanel, N. F. Rulkov, and M. M. Sushchik, Phys. Rev. E 53, 4528-4535 (1996)] it is verified that the phenomenon is not a chaos synchronization. Simulations demonstrate various aspects of the chaos appearance in both drive and response systems. Chaotic control is through the external circuit e...
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S. Demibüken and V. Purutçuoğlu Gazi, “Extension of leap condition in approximate stochastic simulation algorithms of biological networks,” presented at the 4th International Conference on Mathematics (ICOMATH 2020), İstanbul, Türkiye, 2020, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94167.
