Graduate (1991) PhD (Complutense U., Madrid, 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 (UCLM). Director of the department of mathematics (2005-2008, 2012-2016) at the same university.

He has published more than 170 ISI-indexed research papers with 5800 citations and has an H-index of 40 (web of Science). He is editor in chief of "Physica D" and serves in the editorial boards of "Cancers", "European Radiology" and other journals. He is a member of the scientific committees of the Spanish Royal Society of Mathematics, the board of "Mathematical Action against coronavirus". He is a manager of Applied Mathematics at the Spanish National Research Agency. He has been a member of the Marie Curie evaluation committee and of many international project evaluation boards in oncology and/or applied mathematics in France, UK, Poland, Austria, Romania, Cyprus, Latvia, Spain, etc.

His main field of research is the application of mathematical modeling to oncology and more specifically to brain tumors, metastasis, cellular immunotherapies, biomarkers, medical images, lymphomas, leukaemias, prostate cancer, etc. In this field he leads several projects funded by public institutions, private foundations such as the James S. Mc. Donnell Foundation and pharmaceutical companies such as NOVARTIS.