title: Optimal tumor targeting by antibodies: development of a mathematical model.
abstract: A mathematical model has been developed to optimize tumor targeting with labeled antibodies. The model is compartmental and nonlinear, incorporating saturable binding. Published parameter values have been used in the model, and the resulting stiff differential equations have been solved using FACSIMILE, a computer package that can simulate very stiff differential systems. Results show that successful tumor targeting depends on an optimal combination of antibody dose, affinity, and molecular size. The model has allowed an assessment to be made of the complicated and interrelated dynamic relationships that these factors have on tumor targeting. It has also offered an explanation for previously unsatisfactory results from tumor targeting with labeled antibodies. The structural identifiability of the model parameters is also analyzed and it is shown that, with the prior knowledge of some parameters which is likely in practice, the remaining model parameters are uniquely identifiable.
authors.affiliation: Department of Engineering, University of Warwick, Coventry, England.
authors.forename: M J
authors.initials: MJ
authors.lastname: Chappell
authors.forename: G D
authors.initials: GD
authors.lastname: Thomas
authors.forename: K R
authors.initials: KR
authors.lastname: Godfrey
authors.forename: A R
authors.initials: AR
authors.lastname: Bradwell
mesh_terms: D000465:Algorithms; D000906:Antibodies / Q000627:therapeutic use; D003198:Computer Simulation; D006801:Humans; D007700:Kinetics; D008954:Models, Biological; D009369:Neoplasms / Q000175:diagnosis* / Q000628:therapy
chemical_list: D000906:Antibodies