T. Alarcón, N. Briñas-Pascual , J. Calvo, P. Guerrero, D. Stepanova,
Hybrid methods in reaction-diffusion equations,
The Mathematics of Movement: an Interdisciplinary Approach to Mutual Challenges in Animal Ecology and Cell Biology. Eds. L. Giuggioli & P.K. Maini. Springer-Verlag. To Appear (2024).
(preprint) arXiv: https://arxiv.org/abs/2409.13911
P. Guerrero, R. Pérez-Carrasco,
Choice of friction coefficient deeply affects tissue behaviour in stochastic epithelial vertex models,
Philosophical Transactions of the Royal Society B: Biological Sciences 379, 20230051 (2024). D.O.I: https://doi.org/10.1098/rstb.2023.0051
(preprint) BioRxiv: https://doi.org/10.1101/2022.11.07.515433
S. Melo, P. Guerrero, M. Moreira Soares, J. R. Bordin, F. Carneiro, P. Carneiro, M. B. Dias, J. Carvalho, J. Figueiredo, R. Seruca and R. D. M. Travasso,
The ECM and tissue architecture are major determinants of early invasion mediated by E-cadherin dysfunction,
Communications Biology 6, 1132 (2023). D.O.I: 10.1038/s42003-023-05482-x
P. Guerrero, R. Perez-Carrasco, M. Zagorski, D. Page, A. Kicheva, J. Briscoe, K. M. Page,
Neuronal differentiation influences progenitor arrangement in the vertebrate neuroepithelium,
Development Vol. 146 (23), dev176297 (2019). D.O.I.: 10.1242/dev.176297
R. de la Cruz, P. Guerrero, R. Perez-Carrasco, T. Alarcón and K. M. Page,
de la Cruz et al. Reply,
Physical Review Letters 122, 059802 (2019). D.O.I.: 10.1103/PhysRevLett.122.059802
R. de la Cruz, P. Guerrero, R. Perez-Carrasco, T. Alarcón and K. Page,
Minimum Action Path Theory Reveals the Details of Stochastic Transitions Out of Oscillatory States,
Physical Review Letters 120, 128102 (2018). D.O.I.: 10.1103/PhysRevLett.120.128102
R. de la Cruz, P. Guerrero, J. Calvo and T. Alarcón,
Coarse-graining and hybrid methods for efficient simulation of stochastic multi-scale models of tumour growth,
Journal of Computational Physics Vol. 350, 974-991 (2017). D.O.I.: 10.1016/j.jcp.2017.09.019
R. Perez-Carrasco, P. Guerrero, J. Briscoe and K. Page,
Intrinsic noise profoundly alters the dynamics and steady state of morphogen-controlled bistable genetic switches,
PLoS Computational Biology 12 (10): e1005154 (2016). D.O.I.: 10.1371/journal.pcbi.1005154
R. de la Cruz, P. Guerrero, F. Spill and T. Alarcón,
Stochastic multi-scale models of competition within heterogeneous cellular populations: Simulation methods and mean-field analysis,
Journal of Theoretical Biology Vol. 407, 161–183 (2016). D.O.I.: 10.1016/j.jtbi.2016.07.028
M. Bodnar, P. Guerrero, R. Perez-Carrasco, M. J. Piotrowska,
Deterministic and Stochastic Study for a Microscopic Angiogenesis Model: Applications to the Lewis Lung Carcinoma,
PLoS ONE 11 (5): e0155553 (2016); D.O.I.: 10.1371/journal.pone.0155553
P. Guerrero, H. Byrne, P.K. Maini and T. Alarcón,
From invasion to latency: intracellular noise and cell motility as key controls of the competition between resource-limited cellular populations,
Journal of Mathematical Biology Vol. 72, 123-156 (2016). D.O.I.: 10.1007/s00285-015-0883-2
R. de la Cruz, P. Guerrero, F. Spill and T. Alarcón,
The effects of intrinsic noise on the behaviour of bistable systems in quasi-steady state conditions,
The Journal of Chemical Physics Vol. 143, 074105 (2015); D.O.I.: 10.1063/1.4928575
F. Spill, P. Guerrero, T. Alarcón, P.K. Maini and H.M. Byrne,
Hybrid approaches for multiple-species stochastic reaction-diffusion models,
Journal of Computational Physics Vol. 299, 429-445 (2015). D.O.I.: 10.1016/j.jcp.2015.07.002
P. Guerrero and T. Alarcón,
Models estocastics multiescala de la dinámica de poblacions cellulars: métodes asimptótics i numérics,
Butlletí de la Societat Catalana de Matemátiques Vol. 30 (2), 125-166 (2015). D.O.I: 10.2436/20.2002.01.61
P. Guerrero and T. Alarcón,
Stochastic multiscale models of cell populations: Asymptotic and numerical methods,
Mathematical Modelling of Natural Phenomena special edition Special issue MMNP on Hybrid Models Vol. 10 (1), 64-93 (2015). D.O.I.: 10.1051/mmnp/201510104
F. Spill, P. Guerrero, T. Alarcón, P.K. Maini and H.M. Byrne,
Mesoscopic and continuum modelling of angiogenesis.
Journal of Mathematical Biology Vol. 70 (3), 485-532 (2015). D.O.I.: 10.1007/s00285-014-0771-1
Corral A, Deluca A, Font-Clos F, Guerrero P, Korobeinikov A, Massucci F.,
Extended Abstracts Spring 2013.
Birkhäuser 14 Dec 2014 (Editor of Book) D.O.I.: 10.1007/978-3-319-08138-0
P. Guerrero, J.L. López and J. Montejo-Gámez,
A wavefunction description of quantum Fokker-Planck dissipation: Derivation, stationary solutions and numerical approximation of transient dynamics,
Journal of Physics A-Mathematical and Theoretical Vol 47, (2014), 035303 (21). D.O.I.: 10.1088/1751-8113/47/3/035303
J. Campos, P. Guerrero, O. Sánchez and J. Soler,
On the analysis of travelling waves to a nonlinear flux-limited reaction-diffusion equation,
Annales de Institut Henri Poincaré Analyse Non Linéaire Vol. 30(1), (2013), 141-155. D.O.I.: 10.1016/j.anihpc.2012.07.001
P. Guerrero, J. Montejo-Gámez, J.L. López and J. Nieto,
Wellposedness of a nonlinear, logarithmic Schrödinger equation of Doebner–Goldin type modelling quantum dissipation,
Journal of Nonlinear Science Vol. 22 (5), (2012), 631–663. D.O.I.: 10.1007/s00332-012-9123-8
P. Guerrero, J.L. López and J. Nieto,
Global H¹ solvability of the 3D logarithmic Schrödinger equation,
Nonlinear Analysis: Real World Applications Vol. 11 (1), (2010), 79–87. D.O.I.: 10.1016/j.nonrwa.2008.10.017