- Email: gustavoc@athabascau.ca
- Phone: (780) 421-5065 or 1-800-788-9041 Ext. 5065
- Fax: (780) 497-3416

- Bachelor in Mathematics, 1996

Departamento de Matemáticas, Universidad Simón Bolívar - Master's Degree in Mathematics, 1998

Departamento de Matemáticas, Facultad de Ciencias, Universidad de Los Andes - Doctor of Philosophy in Applied Mathematics, 2005

Department of Mathematical & Statistical Sciences, University of Alberta

I joined Athabasca University in 2007. My main responsibilities as an Assistant Professor include the coordination and tutoring of undergraduate mathematics courses, and research in the area of Mathematical Biology.

I obtained both my Bachelor and Masters in Science in Mathematics in Venezuela, from Universidad Simón Bolívar and Universidad de Los Andes, respectively. I received my Ph.D. in Applied Mathematics from University of Alberta, and worked as a postdoctoral fellow at the Cross Cancer Institute in Edmonton.

My main interest in the field of Mathematical Biology is the study of mathematical models that describe the spatio-temporal dynamics of regulatory proteins within the cell nucleus and proteins on the cell membrane.

V. Rajani, G. Carrero, D.E. Golan, G. de Vries, and C.W. Cairo. Analysis of molecular diffusion by first-passage time variance identifies the size of confinement zones Biophysical Journal, 100 (2011), pp. 1463-1472.

N. Raghuram, G. Carrero, T.J. Stasevich, J.G. McNally, J. Th'ng, M.J. Hendzel. Core Histone Hyperacetylation Impacts Cooperative Behavior and High-Affinity Binding of Histone H1 to Chromatin, Biochemistry, 49 (2010), pp. 4420-4431.

N. Raghuram, G. Carrero, J. Th'ng, and M.J. Hendzel, Molecular dynamics of histone H1, Biochem. Cell Biol., 87 (2009), pp. 189-206.

D. McDonald, G. Carrero, C. Andrin, G. de Vries, and M.J. Hendzel, *Nucleoplasmic beta-actin exists in a dynamic equilibrium between low mobility polymeric species and rapidly diffusing populations*, J. Cell Biology, 172 (2006), pp. 541-552.

G. Carrero, M.J. Hendzel, and G. de Vries, *Modelling the compartmentalization of splicing factors*, J. Theor. Biol., 239 (2006), pp. 298-312.

G. Carrero, E. Crawford, M.J. Hendzel, and G. de Vries, *Characterizing fluorescence recovery curves for nuclear proteins undergoing binding events*, Bull. Math. Biol., 66 (2004), pp. 1515-1545.

G. Carrero, E. Crawford, J. Th'ng, G. de Vries, and M.J. Hendzel, *Quantification of protein-protein and protein-DNA interactions in vivo using fluorescence recovery after photobleaching*, Methods Enzymol., 375 (2004), pp. 415-442.

G. Carrero, D. McDonald, E. Crawford, G. de Vries, and M.J. Hendzel, *Using FRAP and mathematical modeling to determine the in vivo kinetics of nuclear proteins*, Methods, 29 (2003), pp. 14-28.

G. Carrero, and M. Lizana, *Pattern Formation in a SIS Epidemiological Mocel*, Canadian Applied Mathematics Quarterly, 11(2003), pp. 1-22.

G. Carrero, *Quantifying and Modelling the Spatio-Temporal
Dynamics of Nuclear Proteins*, Ph.D. Thesis, University of Alberta, 2005.

My particular interests in the field of Mathematical Biology are the development of mathematical models that describe the spatio-temporal dynamics of regulatory proteins within the cell nucleus and proteins on the cell membrane, the quantification of these dynamics using fluorescecence microscopy techniques, and the mathematical analysis of individual- and population-based models to interpret fluorescence microscopy data.

Research related to nuclear proteins is in collaboration with Dr. Michael Hendzel, Cross Cancer Institute and Department of Oncology, University of Alberta.

Cell membrane proteins research is in collaboration with Dr. Gerda de Vries, Deparment of Mathematics and Statistical Sciences, University of Alberta, and Dr. Christopher Cairo, Department of Chemistry, Univesity of Alberta

V. Rajani, G. Carrero, D.E. Golan, G. de Vries, and C.W. Cairo. *Analysis of molecular diffusion by first-passage time variance identifies the size of confinement zones*. Biophysical Journal, 100 (2011), pp. 1463-1472.

N. Raghuram, G. Carrero, T.J. Stasevich, J.G. McNally, J. Th'ng, M.J. Hendzel. *Core Histone Hyperacetylation Impacts Cooperative Behavior and High-Affinity Binding of Histone H1 to Chromatin*, Biochemistry, 49 (2010), pp. 4420-4431.

N. Raghuram, G. Carrero, J. Th'ng, and M.J. Hendzel, *Molecular dynamics of histone H1*, Biochem. Cell Biol., 87 (2009), pp. 189-206.

D. McDonald, G. Carrero, C. Andrin, G. de Vries, and M.J. Hendzel, *Nucleoplasmic beta-actin exists in a dynamic equilibrium between low mobility polymeric species and rapidly diffusing populations*, J. Cell Biology, 172 (2006), pp. 541-552.

G. Carrero, M.J. Hendzel, and G. de Vries, *Modelling the compartmentalization of splicing factors*, J. Theor. Biol., 239 (2006), pp. 298-312.

G. Carrero, E. Crawford, M.J. Hendzel, and G. de Vries, *Characterizing fluorescence recovery curves for nuclear proteins undergoing binding events*, Bull. Math. Biol., 66 (2004), pp. 1515-1545.

G. Carrero, E. Crawford, J. Th'ng, G. de Vries, and M.J. Hendzel, *Quantification of protein-protein and protein-DNA interactions in vivo using fluorescence recovery after photobleaching*, Methods Enzymol., 375 (2004), pp. 415-442.

G. Carrero, D. McDonald, E. Crawford, G. de Vries, and M.J. Hendzel, *Using FRAP and mathematical modeling to determine the in vivo kinetics of nuclear proteins*, Methods, 29 (2003), pp. 14-28.

G. Carrero, and M. Lizana, *Pattern Formation in a SIS Epidemiological Mocel*, Canadian Applied Mathematics Quarterly, 11 (2003), pp. 1-22.

*Quantifying and Modelling the Spatio-Temporal Dynamics of Nuclear Proteins*, Ph.D. Thesis, University of Alberta, 2005.

**M.Sc. Student, University of Alberta (Sept. 2008 – present)
Research Assistant, Athabasca University (Fall 2007, Winter 2008)**

Vishaal is M.Sc. student at the University of Alberta. His research topic is the mathematical analysis of Single-Particle Tracking (SPT) trajectories of cell membrane proteins (Research in collaboration with Dr. Gerda de Vries, Department of Mathematics and Statistical Sciences, University of Alberta, and Dr. Christopher Cairo, Department of Chemistry, Univesity of Alberta).

Updated December 11 2014 by Student & Academic Services

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