Research

Books

2012 – C. Gutiérrez. Two-Sex Branching Processes in a Genetic Context. PHd Thesis, volume 52, Department of Mathematics, University of Extremadura.


Book chapters

2017 – M. González, C. Gutiérrez, R. Martínez, M. Mota. Extinction Probability of Some Recessive Alleles of X-Linked Genes in the Context of Two-Sex Branching Processes. In I. del Puerto, M. González, C. Gutiérrez, R. Martínez, C. Minuesa, M. Molina, M. Mota, A. Ramos (editors). Branching Processes and their Applications, volume 219 oLecture Notes in Statistics, Springer-Verlag, pp. 287-305.

2016 – M. González, C. Gutiérrez, R. Martínez, C. Minuesa, I. del Puerto. Bayesian analysis for controlled branching processes. In I. del Puerto, M. González, C. Gutiérrez, R. Martínez, C. Minuesa, M. Molina, M. Mota, A. Ramos (editors). Branching Processes and their Applications, volume 219 of Lecture Notes in Statistics, Springer-Verlag, pp. 185-205.

2015 – M. González, C. Gutiérrez, R. Martínez. Two-sex branching models in Genetics. In Proceedings of the 60th World Statistics Congress of the International Statistical Institute, ISI, pp. 0-5. 2013 – M. González, C. Gutiérrez, R. Martínez, del Puerto, I. Controlled branching processes: applications in Biology. In Proceedings of the 59th World Statistics Congress of the International Statistical Institute, ISI, pp. 1750-1755.

2012 – M. González, C. Gutiérrez, R. Martínez. Non parametric Bayesian inference through MCMC method for Y-linked two-sex branching processes with blind choice. In International Conference on Computational and Mathematical Methods in Science and Engineering v.II, CMMSE, pp. 650-657.

2010 – M. González, C. Gutiérrez, R. Martínez. Parametric inference for Y-linked gene branching models: Expectation-maximization method. In I. del Puerto, M. González, C. Gutiérrez, R. Martínez, M. Molina, M. Mota, A. Ramos (editors). Branching Processes and their Applications, volume 197 of Lecture Notes in Statistics, Springer-Verlag, pp. 191-204.


Papers in JCR

2023 – C. Gutiérrez and C. Minuesa. Predator-prey density-dependent branching processes. Stochastic Models, 39(1), 265-292. DOI 10.1080/15326349.2022.2032755

2021 – M. González, C. Gutiérrez and R. Martínez. Bayesian inference in Y-linked two-sex branching processes with mutations: ABC approach. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 18(2), 525-538. DOI 10.1109/TCBB.2019.2921308

2021 – E. Pérez-Calderon, P. Milanés-Montero and C. Gutiérrez-Pérez. Climate change, where do we come from and where are we going? European aviation sector behaviour. Transport Policy, 114, 40-48. DOI 10.1016/j.tranpol.2021.09.003.

2021 – M. González, C. Gutiérrez and R. Martínez. Limiting genotype frequencies of Y-linked genes with a mutant allele in a two-sex population. Mathematics 9(2), 131. Open Access. DOI 10.3390/math9020131.

2020 – C. Gutiérrez and C. Minuesa. A Predator-prey two-sex branching process. Mathematics 8(9), 1408. Open Access. DOI 10.3390/math8091408.

2020 – M. González, C. Gutiérrez and R. Martínez. Modeling Y-linked pedigrees through branching processes. Mathematics 8(2) 256. Open Access. DOI 10.3390/math8020256.

2018 – M. González, C. Gutiérrez and R. Martínez. Non-parametric Bayesian inference through MCMC method for Y-linked two-sex branching processes with blind choice. Journal of Statistical Computation and Simulation, 88(18), 3565-3587. DOI 10.1080/00949655.2018.1526284.

2013 – M. González, C. Gutiérrez and R. Martínez. Parametric Bayesian inference for Y-linked two-sex branching models. Statistics and Computing, 23(6), 727-741. DOI 10.1007/s11222-012-9342-8.

2013 – M. González, C. Gutiérrez and R. Martínez. Bayesian inference for controlled branching processes through MCMC and ABC methodologies. RACSAM, 107, 459-473. DOI 10.1007/s13398-012-0072-8.

2012 – M. González, C. Gutiérrez and R. Martínez. Expectation-Maximization Algorithm for Determining Natural Selection of Y-linked genes thorugh two-sex branching processes. Journal of Computational Biology, 19(9), 1015-1026. DOI 10.1089/cmb.2010.0242.

2012 – M. González, C. Gutiérrez and R. Martínez. Extinction conditions for Y-linked mutant-alleles through two-sex branching processes with blind mating structure. Journal of Theoretical Biology, 307, 104-116. DOI 10.1016/j.jtbi.2012.05.005.

2011 – G. Alsmeyer, C. Gutiérrez and R. Martínez. Limiting gentoype frequencies of Y-linked genes through bisexual branching processes with blind choice. Journal of Theoretical Biology, 275, 42-51. DOI 10.1016/j.jtbi.2011.01.024.


Other papers

2015 – M. González, C. Gutiérrez and R. Martínez. Asymptotic behaviour of Y-linked genes thorugh bisexual branching processes for genetic balanced sex determination. Pliska Stud. Math. Bulgar, 24, 21-34.

2009 – M. González, C. Gutiérrez and R. Martínez. On Y-linked genes and bisexual branching processes. Pliska Stud. Math. Bulgar, 19, 111-120.