title: Analysis of cytokine dynamics in corneal allograft rejection.
abstract: Motivated by the discovery of oscillations in tumour necrosis factor-alpha (TNF-alpha) concentration in the aqueous humour of rabbits undergoing corneal allograft rejection, a simple mathematical model is developed for the regulation of TNF-alpha, which incorporates both negative feedback and amplification pathways. Mathematical analysis reveals a surprisingly rich behavioural repertoire for this simple cytokine pathway, including excitability, threshold behaviour, hysteresis, oscillations and bistability. This suggests new possibilities for experimental demonstration, and reveals the potential contributions of nonlinear dynamics to understanding cytokine regulation.
authors.affiliation: Centre for Nonlinear Dynamics and its Applications, University College London, UK.
authors.forename: C C
authors.initials: CC
authors.lastname: Chan
authors.forename: J
authors.initials: J
authors.lastname: Stark
authors.forename: A J
authors.initials: AJ
authors.lastname: George
mesh_terms: D000818:Animals; D016039:Corneal Transplantation / Q000276:immunology*; D006084:Graft Rejection / Q000276:immunology*; D018448:Models, Immunological; D008962:Models, Theoretical; D011817:Rabbits; D013997:Time Factors; D014184:Transplantation, Homologous; D014409:Tumor Necrosis Factor-alpha / Q000096:biosynthesis / Q000502:physiology*
chemical_list: D014409:Tumor Necrosis Factor-alpha