Guillermo Espinoza: Difference between revisions
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===Researh Interests=== | ===Researh Interests=== | ||
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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 thesis in four problems: | Specifically I have been working in my PhD thesis in four problems: | ||
* The study of circuits in boolean regulatory networks and the Thomas | * The study of circuits in boolean regulatory networks and the Thomas | ||
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===Information=== | ===Information=== | ||
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My papers and practical information can be found in my webpage | My papers and practical information can be found in my webpage | ||
http://www-math.unice.fr/~gespinoz/ | http://www-math.unice.fr/~gespinoz/ | ||
I hope to see you soon in Bariloche | 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