title: Mathematics in modern immunology.
abstract: Mathematical and statistical methods enable multidisciplinary approaches that catalyse discovery. Together with experimental methods, they identify key hypotheses, define measurable observables and reconcile disparate results. We collect a representative sample of studies in T-cell biology that illustrate the benefits of modelling-experimental collaborations and that have proven valuable or even groundbreaking. We conclude that it is possible to find excellent examples of synergy between mathematical modelling and experiment in immunology, which have brought significant insight that would not be available without these collaborations, but that much remains to be discovered.
authors.affiliation: Universidad Pontificia Comillas , E28015 Madrid , Spain.
authors.forename: Mario
authors.initials: M
authors.lastname: Castro
authors.affiliation: Department of Applied Mathematics, School of Mathematics , University of Leeds , Leeds LS2 9JT , UK.
authors.forename: Grant
authors.initials: G
authors.lastname: Lythe
authors.affiliation: Department of Applied Mathematics, School of Mathematics , University of Leeds , Leeds LS2 9JT , UK.
authors.forename: Carmen
authors.initials: C
authors.lastname: Molina-París
authors.affiliation: Los Alamos National Laboratory , Theoretical Biology and Biophysics , Los Alamos, NM 87545 , USA.
authors.forename: Ruy M
authors.initials: RM
authors.lastname: Ribeiro
keywords: T cell; T-cell receptor; diversity; immunology; mathematical modelling; two-photon microscopy