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pro vyhledávání: '"Mackey, A. C."'
We present a detailed study of a scalar differential equation with threshold state-dependent delayed feedback. This equation arises as a simplification of a gene regulatory model. There are two monotone nonlinearities in the model: one describes the
Externí odkaz:
http://arxiv.org/abs/2410.13092
We review the behaviour of the Gibbs' and conditional entropies in deterministic and stochastic systems and continue to a formulation appropriate for a stochastically perturbed system with delayed dynamics. The underlying question driving these inves
Externí odkaz:
http://arxiv.org/abs/2311.16800
Autor:
Mackey, Scott C., Morris, Mark R., Ponti, Gabriele, Anastasopoulou, Konstantina, Mondal, Samaresh
Using deep archival observations from the Chandra X-ray Observatory, we present an analysis of linear X-ray-emitting features located within the southern portion of the Galactic center chimney, and oriented orthogonal to the Galactic plane, centered
Externí odkaz:
http://arxiv.org/abs/2310.02892
Publikováno v:
Journal of Aging & Physical Activity; Oct2024, Vol. 32 Issue 5, p624-634, 11p
Autor:
Edwards, Karlyn A. *, Lii, Theresa *, Schouten, Troy D. *, Kearney, Katherine M. *, Ziadni, Maisa S. *, Darnall, Beth D. *, Mackey, Sean C. *, Gilam, Gadi *
Publikováno v:
In The Journal of Pain October 2024 25(10)
Publikováno v:
J. Math. Biol. 84, 2 (2022)
Transcription and translation retrieve and operationalize gene encoded information in cells. These processes are not instantaneous and incur significant delays. In this paper we study Goodwin models of both inducible and repressible operons with stat
Externí odkaz:
http://arxiv.org/abs/2106.06628
Publikováno v:
Chaos 31, 043114 (2021)
Although the theory of density evolution in maps and ordinary differential equations is well developed, the situation is far from satisfactory in continuous time systems with delay. This paper reviews some of the work that has been done numerically a
Externí odkaz:
http://arxiv.org/abs/2011.14643
Autor:
Nakamura, Fumihiko, Mackey, Michael C.
In this paper we give a new sufficient condition for asymptotic periodicity of Frobenius-Perron operator corresponding to two--dimensional maps. The result of the asymptotic periodicity for strictly expanding systems, that is, all eigenvalues of the
Externí odkaz:
http://arxiv.org/abs/2011.10689
Publikováno v:
Nonlinear Analysis: Hybrid Systems 39 (2021) 100948
We present an investigation of stochastic evolution in which a family of evolution equations in $L^1$ are driven by continuous-time Markov processes. These are examples of so-called piecewise deterministic Markov processes (PDMP's) on the space of in
Externí odkaz:
http://arxiv.org/abs/2009.04764
Autor:
Ziadni, Maisa S., Jaros, Sam, Anderson, Steven R., You, Dokyoung S., Darnall, Beth D., Mackey, Sean C.
Publikováno v:
In The Journal of Pain October 2023 24(10):1830-1842