My journey of mathematics started in Venezuela, where I obtained both my Bachelor and Master of Science in Mathematics, 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, Canada. I have had the great fortune to be part of the AU (Athabasca University) family since 2007 as a faculty member in Mathematics for the Centre for Science, Faculty of Science and Technology.
Within the broad discipline of Applied Mathematics my research field has been mainly Mathematical Biology; with focus in the development and analysis of mathematical models to understand processes at the cellular level; specifically, the spatiotemporal dynamics of proteins within the cell nucleus, the mobility of proteins on the cell membrane, and the effect of radiation on the cell cycle.
Recently, I have become very interested in the field of Mathematical Psychology. Specifically, in the development of mathematical models, using differential equations, to understand psychological processes related to well-being.
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
Professional affiliations
Adjunct Professor, Department of Mathematical and Statistical Sciences, University of Alberta
G. Carrero, J. Makin, and P. Malinowski (2022). A mathematical model for the dynamics of happiness. Mathematical Biosciences and Engineering, 19(2), pp. 2002-2029. https://doi.org/10.3934/mbe.2022094
C. Contreras, G. Carrero, and G. de Vries (2021). Carryover of a Saddle-Node Bifurcation After Transforming a Parameter into a Variable. Journal of Dynamics and Differential Equations. https://doi.org/10.1007/s10884-021-10097-z
C. Contreras, G. Carrero, and G. de Vries (2019). A Mathematical Model for the Effect of Low-Dose Radiation on the G2/M Transition. Bulletin of Mathematical Biology, 81(10), pp. 3998-4021. https://doi.org/10.1007/s11538-019-00645-6
C. Contreras, M. Villasana, M.J. Hendzel, and G. Carrero (2018). Using a model comparison approach to describe the assembly pathway for histone H1. PLoS ONE 13(1): e0191562. https://doi.org/10.1371/journal.pone.0191562
V. Rajani, G. Carrero, D.E. Golan, G. de Vries, and C.W. Cairo (2011). Analysis of Molecular Diffusion by First-Passage Time Variance Identifies the Size of Confinement Zones. Biophysical Journal, 100(6), pp. 1463-1472. https://doi.org/10.1016/j.bpj.2011.01.064
N. Raghuram, G. Carrero, T.J. Stasevich, J.G. McNally, J. Th'ng, M.J. Hendzel (2010). Core Histone Hyperacetylation Impacts Cooperative Behavior and High-Affinity Binding of Histone H1 to Chromatin. Biochemistry, 49(21), pp. 4420-4431. https://doi.org/10.1021/bi100296z
N. Raghuram, G. Carrero, J, P Th’ng, and M.J. Hendzel (2009). Molecular dynamics of histone H1. Biochemistry and Cell Biology, 87(1), pp. 189-206. https://doi.org/10.1139/O08-127
D. McDonald, G. Carrero, C. Andrin, G. de Vries, and M.J. Hendzel (2006). Nucleoplasmic β-actin exists in a dynamic equilibrium between low-mobility polymeric species and rapidly diffusing populations. Journal of Cell Biology, 172(4), pp. 541-552. https://doi.org/10.1083/jcb.200507101
G. Carrero, M.J. Hendzel, and G. de Vries (2006). Modelling the compartmentalization of splicing factors. Journal of Theoretical Biology, 239(3), pp. 298-312. https://doi.org/10.1016/j.jtbi.2005.07.019
G. Carrero, E. Crawford, M.J. Hendzel, and G. de Vries (2004). Characterizing Fluorescence Recovery Curves for Nuclear Proteins Undergoing Binding Events. Bulletin of Mathematical Biology, 66, pp. 1515-1545. https://doi.org/10.1016/j.bulm.2004.02.005
G. Carrero, E. Crawford, J. Th’ng, G. de Vries, and M.J. Hendzel (2004). Quantification of Protein-Protein and Protein-DNA Interactions In Vivo, Using Fluorescence Recovery After Photobleaching. Methods in Enzymology, 375, pp. 415-442. https://doi.org/10.1016/S0076-6879(03)75026-5
G. Carrero, D. McDonald, E. Crawford, G. de Vries, and M.J. Hendzel (2003). Using FRAP and mathematical modeling to determine the in vivo kinetics of nuclear proteins. Methods, 29(1), pp. 14-28. https://doi.org/10.1016/S1046-2023(02)00288-8