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Research interests:
- Mathematical Methods in
Biomedical Problems.
- Differential equations:
Theory and Applications.
- Mathematical Models in Social
Sciences.
Main recent publications:
- J.C.L. Alfonso, G. Buttazzo, B.García-Archilla, M.A.Herrero
and L. Núñez (2012). A class of
optimization problems in Radiotherapy dosimetry
planning. Discr. Cont. Dyn. Systems B 17, 6; 1651-1672.
- R. Cuerno,
C. Escudero, J.M. García-Ruiz
and M. A. Herrero (2012). Pattern formation
in stromatolites : insights from mathematical modelling.
J. Roy. Soc. Interface doi:
10.1098/rsif.2011.0516.
- M.A. Herrero
(2011). 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.
- A. Köhn-Luque, W. De Back,
J. Starrruss, A. Mattiotti,
A. Deutsch, J.M. Pérez-Pomares and M. A.
Herrero (2011). Early
embryonic vascular patterning by matrix-mediated paracrine signalling: a mathematical model study. PLoS ONE 6(9):
e24175.doi:10.371/Journal.pne.0024175.
- M. A. Herrero
(2011). Through a glass, darkly: Biology seen from Mathematics. Physics of Life Reviews vol. 8 (1), doi:
10.1016/j. plrev 2010.12.001.
- J. C. Nuño,
M. A. Herrero and M. Primicerio.
A mathematical model of a criminal-prone society (2011). Discrete
and Continuous Dynamical Systems S 4,; 193-207.
- G. Th. Guria,
M. A. Herrero and K. Zlobina.
Ultrasound detection of externally induced microthrombi
cloud formation : a theoretical study, Journal of Engineering
Mathematics, Vol. 66, 1-3; (2010), 293-310
- A.Fasano, M. A. Herrero, J.M. López
and E. Medina. On
the dynamics of the growth plate in primary ossification, Revista Journal of Theoretical
biology, Vol. 265; (2010), 543-553
- J. C. Nuño,
M. A. Herrero and M. Primicerio.
Fighting cheaters: how and how much to invest, Revista European journal of Applied Mathematics,
Vol.21, 4-5; (2010), 459-478
- A. Cappuccio, M. A. Herrero
and L. Núñez. Tumour radiotherapy and its
mathematical modelling. Contemporary Mathematics, vol. 492 ( 2009),
77-102.
- M. A. Herrero, A. Köhn
and J. M. Pérez-Pomares. Modelling vascular morphogenesis:
current views on blood vessels development. Mathematical Models and Methods in Applied Sciences , vol.19, Suppl. (2009),
1-55.
- G.Th.Guria, M.
A. Herrero and K.E. Zlobina.
A mathematical model of blood coagulation induced by activation
sources. Discrete and Cont. Dyn. Systems A , vol. 25, 1 ( 2009 ), 175-194.
- A. Fasano, M. A. Herrero;
M. R. Rodrigo. Slow
and fast invasion waves in a model of
acid - mediated tumour growth. Mathematical Biosciences, vol.220 (2009),45-56.
- A. Cappuccio, M. A. Herrero
and L. Núñez. Biological
optimization of tumour radiosurgery. Medical Physics 36,1
(2009), 97-104.
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