Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Anael Verdugo"'
Publikováno v:
Memoirs of the Scientific Sections of the Romanian Academy, Vol XLI, Pp 7-20 (2018)
The present work explores the idea that concepts present in Nicole Oresme’s work, and rooted in the medieval revival of Corpus Aristotelicum, are reflected throughout active areas of research today. Nicole Oresme’s volume, titled Tractatus de con
Externí odkaz:
https://doaj.org/article/2441d0ef4863418e9426b06aa735c5bc
Autor:
Anael Verdugo
Publikováno v:
International Journal of Differential Equations, Vol 2018 (2018)
This paper presents a computational study of the stability of the steady state solutions of a biological model with negative feedback and time delay. The motivation behind the construction of our system comes from biological gene networks and the mod
Externí odkaz:
https://doaj.org/article/30051be336f34809a970f62dbfcf88c5
Publikováno v:
Open Biology, Vol 3, Iss 3 (2013)
Progression through the eukaryotic cell cycle is characterized by specific transitions, where cells move irreversibly from stage i−1 of the cycle into stage i. These irreversible cell cycle transitions are regulated by underlying bistable switches,
Externí odkaz:
https://doaj.org/article/e5c3dc20f55c4f7d9adb4514cddb814b
Autor:
Anael Verdugo
Publikováno v:
American Journal of Computational Mathematics. :137-152
The repressilator is a genetic network that exhibits oscillations. The net-work is formed of three genes, each of which represses each other cyclically, creating a negative feedback loop with nonlinear interactions. In this work we present a computat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::43004f7ffa94ff6e1016635c324c768a
https://doi.org/10.4236/ajcm.2018.82011
https://doi.org/10.4236/ajcm.2018.82011
Autor:
Anael Verdugo
Publikováno v:
Journal of Computational and Applied Mathematics. 291:66-75
In this work we analyze a nonlinear delay differential equation (DDE) model with negative feedback and constant time delay. The model is constructed from a previously studied biochemical reaction network of gene transcription and protein synthesis. L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a07cf5454fcff7ae94f78c58253d9e0
https://doi.org/10.1016/j.cam.2015.04.029
https://doi.org/10.1016/j.cam.2015.04.029
Publikováno v:
Open Biology
Open Biology, Vol 3, Iss 3 (2013)
Open Biology, Vol 3, Iss 3 (2013)
Progression through the eukaryotic cell cycle is characterized by specific transitions, where cells move irreversibly from stagei−1 of the cycle into stagei. These irreversible cell cycle transitions are regulated by underlying bistable switches, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27ba4ce5770eea9bcd5685922a4c3bd6
https://doi.org/10.1098/rsob.120179
https://doi.org/10.1098/rsob.120179
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 14:1598-1608
The dynamics of a ring of three identical relaxation oscillators is shown to exhibit a variety of periodic motions, including clockwise and counter-clockwise wave-like modes, and a synchronous mode in which all three oscillators are in phase. The mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9436b627af4bff956ed8cdba93be31c5
https://doi.org/10.1016/j.cnsns.2008.05.012
https://doi.org/10.1016/j.cnsns.2008.05.012
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 14:270-283
We study a system of three limit cycle oscillators which exhibits two stable steady states. The system is modeled by both phase-only oscillators and by van der Pol oscillators. We obtain and compare the existence, stability and bifurcation of the ste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b4ecaece77a8ea5c7b6578033dcfac5
https://doi.org/10.1016/j.cnsns.2007.08.009
https://doi.org/10.1016/j.cnsns.2007.08.009
Autor:
Richard H. Rand, Anael Verdugo
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 13:1112-1120
We use center manifold theory to analyze a model of gene transcription and protein synthesis which consists of an ordinary differential equation (ODE) coupled to a delay differential equation (DDE). The analysis involves reformulating the problem as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42c3273aa5534ba0dd9b869a5bbd5147
https://doi.org/10.1016/j.cnsns.2006.09.011
https://doi.org/10.1016/j.cnsns.2006.09.011
Autor:
Anael Verdugo, Richard H. Rand
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 13:235-242
We analyze a model of gene transcription and protein synthesis which has been previously presented in the biological literature. The model takes the form of an ODE (ordinary differential equation) coupled to a DDE (delay differential equation), the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9db2a85c0ae2276485d1cfae0e727cd
https://doi.org/10.1016/j.cnsns.2006.05.001
https://doi.org/10.1016/j.cnsns.2006.05.001