Dr. M. A. Herrero
RECENT PUBLICATIONS:
2024
C. F. Arias, F. Bertocchini, F. J. Acosta, G. E. Oleaga, C. Fernández-Arias and M. A. Herrero. Predicting and Explaining with Models: A Few Remarks on Mathematical Immunology.Problems in Mathematical Biophysics, SEMA SIMAI. Springer Series 38, A. d’Onofrio et al. (eds.) https://doi.org/10.1007/978-3-031-60773-8_2
B. Serrano-Antón, C. Mian, R. Fuente, F. Bertocchini, M. A. Herrero, J. M. López, G. E. Oleaga and C. F. Arias. A Computational Approach to Individual Cell-Based Decision Algorithms Involved in Bone Remodeling. Mathematics 12 (3), 362 https://doi.org/10.3390/math12030362
2022
B. Franchi, M. A. Herrero and V. Tora. Dynamics of a polymerization model on a graph. Le Matematiche, Vol. LXXVII (2022) – Issue I, pp. 173–201 doi: 10.4418/2022.77.1.9
C. F. Arias, F. J. Acosta, F. Bertocchini, M. A. Herrero and C. Fernández-Arias. The coordination of anti-phage immunity mechanisms in bacterial cells. Nature Communications 13 (1), 7412 https://doi.org/10.1038/s41467-022-35203-7
2021
C. F. Arias, M. A. Herrero, F. Bertocchini, F. J. Acosta and C. Fr. Arias. Modeling the dependence of immunodominance in T cell dynamics in prime-boost vaccines. Mathematics 9, 28 // dx.doi.org/10.3390/math 9010028 ; 1-13.
2020
C. F. Arias, F. Bertocchini, M. A. Herrero, J. M. Lopez and G. E : Oleaga. A proposed screening algorithm for bone remodelling. European J. Appl. Math; doi: 10.1017/S0956792520000418 ; 1-14.
2018
M. A. Herrero. Mobility and dominance in social dynamics. Accademia Nazionale dei Lincei. Contributi del Centro Linceo Interdisciplinare Beniamino Segre 136. 59-70.
- C. F. Arias, M.A. Herrero, L. F. Echeverri, G. E. Oleaga and J. M. Lopez. Bone remodeling: a tissue-level process emerging from cell-level molecular algorithms. PLoS ONE 13(9): e0204171.
https://doi.org/10.1371/journal.pone.02041
- C. F. Arias and M. A. Herrero. Emergent behaviour in T cell immune response. Progress in Industrial Mathematics, P. Quintela et al (eds), 17-23.
doi :10.1007/978-3-319-63082-3_2
- C. Fr. Arias, C. F. Arias, M. Zhang, M. A.Herrero, F. J. Acosta and M. Tsuji. Modeling the effect of boost timing in murine sporozoite prime-boost vaccines. PLOS ONE 13 (1): e0190940.
http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0190940
2017
- C. F. Arias, M.A. Herrero, C.D. Stern and F. Bertocchini. A molecular mechanism of symmetry breaking in early chick embryo. Scientific Reports 7(1): 15776. doi:10.138/s41598-017-15881-8.
https://www.nature.com/articles/s41598-017-15883-8
- C. F. Arias, M.A. Herrero, F. J. Acosta and C. Fernandez-Arias. Population mechanics: a mathematical framework to study T cell homeostasis. Scientific Reports 7(1): 9511. doi:10.1038/s41598-017-09049-w.
https://www.nature.com/articles/s41598-017-09949-w.pdf
2016
- T. Alarcón, J. Castillo, B. García-Ponce, M. A. Herrero and P. Padilla. Growth rate and shape as possible control mechanisms for the selection of mode development in optimal biological branching processes. Eur. Phys, J. Special Topics 225, 2581-2589.
https://doi.org/10.1140/epjst/e2016-60032-0
2015
- J. C. L. Alfonso, M. A. Herrero and L. Núñez (2015) A dose-volume histogram based decision-support system for dosimetric comparison of radiotherapy treatment plans. Radiation Oncology 10(1): 1-9. doi:10.1186/s13014-015-0569-3.
http://ro-journal.biomedcentral.com/articles/10.1186/s13014-015-0569-3
- M. A. Herrero and J. Soler (2015). Cooperation, Competition, Organization: The dynamics of interacting populations. Mathematical Models and Methods in the Applied Sciences. doi:10.1142/S0218202515020030.
http://www.worldscientific.com/doi/abs/10.1142/S0218202515020030?journalCode=m3as
- Böttger K, Hatzikirou H, Voss-Böhme A, Cavalcanti-Adam EA, Herrero MA, Deutsch A (2015) An Emerging Allee Effect Is Critical for Tumor Initiation and Persistence. PLOS Comput Biol 11(9): e1004366. doi:10.1371/journal.pcbi.1004366.
http://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1004366
- C. F. Arias, M. A. Herrero, J. A. Cuesta, F. J. Acosta and C. Fernández-Arias. The growth threshold conjecture: a theoretical framework for understanding T-cell tolerance. R. Soc. Open Sci. 2: 150016, 2015. doi: http://dx.doi.org/10.1098/rsos.150016.
http://rsos.royalsocietypublishing.org/content/2/7/150016
- L. F. Echeverri, M. A. Herrero, J. M. Lopez and G. Oleaga. Early stages of bone fracture healing: formation of a fibrin-collagen scaffold in the fracture hematoma. Bull Math Biol. 2015 Jan;77(1):156-83. doi: 10.1007/s11538-014-0055-3.
http://link.springer.com/article/10.1007%2Fs11538-014-0055-3
2014
- J. C. L. Alfonso, G. Buttazzo, B. García-Archilla, M. A. Herrero and L. Núñez. Selecting radiotherapy dose distributions by means of constrained optimization problems. Bulletin of Mathematical Biology doi:10.1007/s11538-014-9945-7.
http://link.springer.com/article/10.1007/s11538-014-9945-7
- J. C. L. Alfonso, N. Jagiella, L. Núñez, M. A. Herrero and D. Drasdo. Estimating dose painting effects in radiotherapy: a mathematical model. PLOS ONE 9 (2) e89380.
http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0089380
- C. F. Arias, M. A. Herrero, F. J. Acosta and C. Fernández-Arias. A mathematical model for a T cell fate decision algorithm during immune response. Journal of Theoretical Biology 349, 109-120. [PDF]
- A. B. Holder, M. R. Rodrigo and M. A.Herrero. A model for acid-mediated tumour growth with nonlinear acid production term. Applied Mathematics and Computation: 227; pp. 176-198.
http://www.sciencedirect.com/science/article/pii/S0096300313011855
2013
- A. Köhn-Luque, W. De Back, Y. Yamaguchi, K. Yoshimura, M. A. Herrero and T. Miura. Dynamics of VEGF matrix retention in vascular network patterning. Phys. Biol.: 10, 066007. doi:10.1088/1478-3975/10/6/066007.
http://iopscience.iop.org/1478-3975/10/6/066007
- N. Bellomo, M. A.Herrero and A. Tosin. On the dynamics of social conflicts: looking for the black swan. Kinetic and Related Models 6; pp. 459-479.
http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=8657
2012
- J. C. L. Alfonso, G. Buttazzo, B. García-Archilla, M. A.Herrero and L. Núñez. A class of optimization problems in Radiotherapy dosimetry planning. Discr. Cont. Dyn. Systems B 17, 6; pp. 1651-1672.
https://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=7351
- R. Cuerno, C. Escudero, J. M. García-Ruiz and M. A. Herrero. Pattern formation in stromatolites: insights from mathematical modelling. J. Roy. Soc. Interface. doi: 10.1098/rsif.2011.0516.
http://rsif.royalsocietypublishing.org/content/early/2011/10/04/rsif.2011.0516.full
2011
- A. Köhn-Luque, W. De Back, J. Starrruss, A. Mattiotti, A. Deutsch, J. M. Pérez-Pomares and M. A. Herrero. Early embryonic vascular patterning by matrix-mediated paracrine signalling: a mathematical model study. PLoS ONE 6(9), e24175. doi:10.371/Journal.pone.0024175.
http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0024175
- M. A. Herrero. Through a glass, darkly: Biology seen from Mathematics. Physics of Life Reviews, 8(1), doi: 10.1016/j. plrev 2010.12.001.
http://www.sciencedirect.com/science/article/pii/S1571064511000078
- M. A.Herrero. Stability properties of biochemical cascades. In Evolution Equations and Materials with Memory, D. Andreucci, S. Carillo et al. ed . La Sapienza (Roma), ISBN: 978-88-95814-51-3; 119-134.
- J. C. Nuño, M. A. Herrero and M. Primicerio. A mathematical model of a criminal-prone society. Discrete and Continuous Dynamical Systems S 4, 1; pp. 193-207.
http://aimsciences.org/journals/displayArticles.jsp?paperID=5534
2010
- J. C. Nuño, M. A. Herrero and M. Primicerio. Fighting cheaters: how and how much to invest. European Journal of Applied Mathematics 21, 4-5; pp. 459-478.
- A. Fasano, M. A. Herrero, J. M. López and E. Medina. On the dynamics of the growth plate in primary ossification. Journal of Theoretical Biology 265; pp. 543-553.
http://www.sciencedirect.com/science/article/pii/S0022519310002730
- G. Th. Guria , M. A. Herrero and K. Zlobina. Ultrasound detection of externally induced microthrombi cloud formation: a theoretical study. Journal of Engineering Mathematics 66, 1-3; pp. 293-310.