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	<id>https://wiki.santafe.edu/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Gespinoz</id>
	<title>Santa Fe Institute Events Wiki - User contributions [en]</title>
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	<updated>2026-04-15T15:56:49Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://wiki.santafe.edu/index.php?title=Guillermo_Espinoza&amp;diff=16284</id>
		<title>Guillermo Espinoza</title>
		<link rel="alternate" type="text/html" href="https://wiki.santafe.edu/index.php?title=Guillermo_Espinoza&amp;diff=16284"/>
		<updated>2008-10-02T14:43:37Z</updated>

		<summary type="html">&lt;p&gt;Gespinoz: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello people&lt;br /&gt;
&lt;br /&gt;
I am currently writing my Ph.D. thesis in Applied Mathematics&lt;br /&gt;
between University of Chili (Chile) and &lt;br /&gt;
University of Nice Sophia-Antipolis (France).&lt;br /&gt;
&lt;br /&gt;
===Researh Interests===&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
My Research Interests are Dynamical Systems, Systems Biology, &lt;br /&gt;
Bifurcation &amp;amp; Chaos, Regulatory Networks and Computational Complexity.&lt;br /&gt;
&lt;br /&gt;
Specifically I have been working in my PhD thesis in four problems: &lt;br /&gt;
&lt;br /&gt;
* The study of circuits in boolean regulatory networks and the Thomas&lt;br /&gt;
conjecture between dynamic and topological graph structures. I&lt;br /&gt;
&lt;br /&gt;
* A mathematical model for metal stress response in Halobacterium where &lt;br /&gt;
we have constructed a model using differential equations and power law &lt;br /&gt;
formalism, and we have proved that the system is near to be monotone and presents homeostasis behavior. &lt;br /&gt;
&lt;br /&gt;
* I have studied stochastic modeling and simulations &lt;br /&gt;
of quorum sensing or cellular communication problem in P. aeruginosa, working in the stochastic simulation&lt;br /&gt;
algorithm proposed by Gillespie with fast and slow variables. &lt;br /&gt;
&lt;br /&gt;
* Finally I have worked in the desynchronization of stables systems, using homoclinic orbits, particularly in &lt;br /&gt;
applications to the Goodwin model involved in the circadian rhythm, moreover we have designed a program &lt;br /&gt;
and we have proved stability conditions of the Silnikov type.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Information===&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
My papers and practical information can be found in my webpage&lt;br /&gt;
&lt;br /&gt;
http://www-math.unice.fr/~gespinoz/&lt;br /&gt;
&lt;br /&gt;
I hope to see you soon in Bariloche&lt;/div&gt;</summary>
		<author><name>Gespinoz</name></author>
	</entry>
	<entry>
		<id>https://wiki.santafe.edu/index.php?title=Guillermo_Espinoza&amp;diff=16283</id>
		<title>Guillermo Espinoza</title>
		<link rel="alternate" type="text/html" href="https://wiki.santafe.edu/index.php?title=Guillermo_Espinoza&amp;diff=16283"/>
		<updated>2008-10-02T14:37:12Z</updated>

		<summary type="html">&lt;p&gt;Gespinoz: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello people&lt;br /&gt;
&lt;br /&gt;
I am currently writing my Ph.D. thesis in Applied Mathematics&lt;br /&gt;
between University of Chili (Chile) and &lt;br /&gt;
University of Nice Sophia-Antipolis (France).&lt;br /&gt;
&lt;br /&gt;
===Researh Interests===&lt;br /&gt;
&lt;br /&gt;
My Research Interests are Dynamical Systems, Systems Biology, &lt;br /&gt;
Bifurcation &amp;amp; Chaos, Regulatory Networks and Computational Complexity.&lt;br /&gt;
&lt;br /&gt;
Specifically I have been working in my thesis in four problems: &lt;br /&gt;
&lt;br /&gt;
* The study of circuits in boolean regulatory networks and the Thomas&lt;br /&gt;
conjecture between dynamic and topological graph structures. I&lt;br /&gt;
&lt;br /&gt;
* A mathematical model for metal stress response in Halobacterium where &lt;br /&gt;
we have constructed a model using differential equations and power law &lt;br /&gt;
formalism, and we have proved that the system is near to be monotone and presents homeostasis behavior. &lt;br /&gt;
&lt;br /&gt;
* I have studied stochastic modeling and simulations &lt;br /&gt;
of quorum sensing or cellular communication problem in P. aeruginosa, working in the stochastic simulation&lt;br /&gt;
algorithm proposed by Gillespie with fast and slow variables. &lt;br /&gt;
&lt;br /&gt;
* Finally I have worked in the desynchronization of stables systems, using homoclinic orbits, particularly in &lt;br /&gt;
applications to the Goodwin model involved in the circadian rhythm, moreover we have designed a program &lt;br /&gt;
and we have proved stability conditions of the Silnikov type.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Information===&lt;br /&gt;
&lt;br /&gt;
My papers and practical information can be found in my webpage&lt;br /&gt;
&lt;br /&gt;
http://www-math.unice.fr/~gespinoz/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
I hope to see you soon in Bariloche&lt;/div&gt;</summary>
		<author><name>Gespinoz</name></author>
	</entry>
	<entry>
		<id>https://wiki.santafe.edu/index.php?title=Guillermo_Espinoza&amp;diff=16156</id>
		<title>Guillermo Espinoza</title>
		<link rel="alternate" type="text/html" href="https://wiki.santafe.edu/index.php?title=Guillermo_Espinoza&amp;diff=16156"/>
		<updated>2008-09-16T18:44:33Z</updated>

		<summary type="html">&lt;p&gt;Gespinoz: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello people&lt;br /&gt;
&lt;br /&gt;
I am currently writing my Ph.D. thesis in Applied Mathematics&lt;br /&gt;
between University of Chili (Chile) and &lt;br /&gt;
University of Nice Sophia-Antipolis (France).&lt;br /&gt;
&lt;br /&gt;
My Research Interests are Dynamical Systems, Systems Biology, &lt;br /&gt;
Bifurcation &amp;amp; Chaos, Regulatory Networks and Computational Complexity.&lt;br /&gt;
&lt;br /&gt;
More information can be found in my webpage&lt;br /&gt;
&lt;br /&gt;
http://www-math.unice.fr/~gespinoz/&lt;br /&gt;
&lt;br /&gt;
I hope to see you soon in Bariloche&lt;/div&gt;</summary>
		<author><name>Gespinoz</name></author>
	</entry>
	<entry>
		<id>https://wiki.santafe.edu/index.php?title=Guillermo_Espinoza&amp;diff=16155</id>
		<title>Guillermo Espinoza</title>
		<link rel="alternate" type="text/html" href="https://wiki.santafe.edu/index.php?title=Guillermo_Espinoza&amp;diff=16155"/>
		<updated>2008-09-16T18:36:26Z</updated>

		<summary type="html">&lt;p&gt;Gespinoz: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello people&lt;br /&gt;
&lt;br /&gt;
I am currently writing my Ph.D. thesis in Applied Mathematics&lt;br /&gt;
between University of Chili (Chile) and &lt;br /&gt;
University of Nice Sophia-Antipolis (France).&lt;br /&gt;
&lt;br /&gt;
My Research Interests are Dynamical Systems, Systems Biology, &lt;br /&gt;
Bifurcation &amp;amp; Chaos, Regulatory Networks and Computational Complexity.&lt;/div&gt;</summary>
		<author><name>Gespinoz</name></author>
	</entry>
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