title: Mathematical modeling of cancer radiovirotherapy.
abstract: Cancer virotherapy represents a dynamical system that requires mathematical modeling for complete understanding of the outcomes. The combination of virotherapy with radiation (radiovirotherapy) has been recently shown to successfully eliminate tumors when virotherapy alone failed. However, it introduces a new level of complexity. We have developed a mathematical model, based on population dynamics, that captures the essential elements of radiovirotherapy. The existence of corresponding equilibrium points related to complete cure, partial cure, and therapy failure is proved and discussed. The parameters of the model were estimated by fitting to experimental data. By using simulations we analyzed the influence of parameters that describe the interaction between virus and tumor cell on the outcome of the therapy. Furthermore, we evaluated relevant therapeutic scenarios for radiovirotherapy, and offered elements for optimization.
authors.affiliation: Molecular Medicine Program, Mayo Clinic College of Medicine, Rochester, MN 55905, USA.
authors.forename: David
authors.initials: D
authors.lastname: Dingli
authors.forename: Matthew D
authors.initials: MD
authors.lastname: Cascino
authors.forename: Kresimir
authors.initials: K
authors.lastname: Josić
authors.forename: Stephen J
authors.initials: SJ
authors.lastname: Russell
authors.forename: Zeljko
authors.initials: Z
authors.lastname: Bajzer
mesh_terms: D000465:Algorithms; D000818:Animals; D003131:Combined Modality Therapy; D003198:Computer Simulation; D006801:Humans; D007457:Iodine Radioisotopes / Q000627:therapeutic use; D016018:Least-Squares Analysis; D008459:Measles virus / Q000235:genetics; D051379:Mice; D008954:Models, Biological; D009101:Multiple Myeloma / Q000473:pathology / Q000628:therapy; D009369:Neoplasms / Q000473:pathology / Q000628:therapy*; D050130:Oncolytic Virotherapy / Q000379:methods*; D027981:Symporters / Q000235:genetics; D023041:Xenograft Model Antitumor Assays; D000099209:Sodium-Iodide Symporters
chemical_list: D007457:Iodine Radioisotopes; D027981:Symporters; D000099209:Sodium-Iodide Symporters