Guillermo Espinoza: Difference between revisions
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between University of Chili (Chile) and | between University of Chili (Chile) and | ||
University of Nice Sophia-Antipolis (France). | University of Nice Sophia-Antipolis (France). | ||
===Researh Interests=== | |||
---- | |||
My Research Interests are Dynamical Systems, Systems Biology, | My Research Interests are Dynamical Systems, Systems Biology, | ||
Bifurcation & Chaos, Regulatory Networks and Computational Complexity. | Bifurcation & Chaos, Regulatory Networks and Computational Complexity. | ||
Specifically I have been working in my PhD thesis in four problems: | |||
* The study of circuits in boolean regulatory networks and the Thomas | |||
conjecture between dynamic and topological graph structures. I | |||
* A mathematical model for metal stress response in Halobacterium where | |||
we have constructed a model using differential equations and power law | |||
formalism, and we have proved that the system is near to be monotone and presents homeostasis behavior. | |||
* I have studied stochastic modeling and simulations | |||
of quorum sensing or cellular communication problem in P. aeruginosa, working in the stochastic simulation | |||
algorithm proposed by Gillespie with fast and slow variables. | |||
* Finally I have worked in the desynchronization of stables systems, using homoclinic orbits, particularly in | |||
applications to the Goodwin model involved in the circadian rhythm, moreover we have designed a program | |||
and we have proved stability conditions of the Silnikov type. | |||
===Information=== | |||
---- | |||
My papers and practical information can be found in my webpage | |||
http://www-math.unice.fr/~gespinoz/ | |||
I hope to see you soon in Bariloche | |||
Latest revision as of 14:43, 2 October 2008
Hello people
I am currently writing my Ph.D. thesis in Applied Mathematics between University of Chili (Chile) and University of Nice Sophia-Antipolis (France).
Researh Interests
My Research Interests are Dynamical Systems, Systems Biology, Bifurcation & Chaos, Regulatory Networks and Computational Complexity.
Specifically I have been working in my PhD thesis in four problems:
- The study of circuits in boolean regulatory networks and the Thomas
conjecture between dynamic and topological graph structures. I
- A mathematical model for metal stress response in Halobacterium where
we have constructed a model using differential equations and power law formalism, and we have proved that the system is near to be monotone and presents homeostasis behavior.
- I have studied stochastic modeling and simulations
of quorum sensing or cellular communication problem in P. aeruginosa, working in the stochastic simulation algorithm proposed by Gillespie with fast and slow variables.
- Finally I have worked in the desynchronization of stables systems, using homoclinic orbits, particularly in
applications to the Goodwin model involved in the circadian rhythm, moreover we have designed a program and we have proved stability conditions of the Silnikov type.
Information
My papers and practical information can be found in my webpage
http://www-math.unice.fr/~gespinoz/
I hope to see you soon in Bariloche