Graduate (Complutense U., 1991) PhD (Complutense U., 1995). Associate professor (1997) and full professor (2002) in Applied Mathematics at the Mathematics Department of the University of Castilla-La Mancha. Founding (2007-2012) and current (2016-) director of the Institute of Applied Mathematics in Science and Engineering  at University of Castilla-La Mancha. Director of the department of mathematics (2005-2008, 2012-2016) of the same university.

He has published more than 150 ISI-indexed research papers with 5500 citations and has an H-index of 37. He serves in the editorial boards of "Cancers", "European Radiology" and is editor in chief of "Physica D". He is a member of the scientific committees of the Spanish Royal Society of Mathematics and the "Mathematical Action against coronavirus". He has been a member of the Marie Curie evaluation committee and of many international project evaluation boards. His main field of research is the application of mathematical modeling to oncology.