title: The replicability of oncolytic virus: defining conditions in tumor virotherapy.
abstract: The replicability of an oncolytic virus is measured by its burst size. The burst size is the number of new viruses coming out from a lysis of an infected tumor cell. Some clinical evidences show that the burst size of an oncolytic virus is a defining parameter for the success of virotherapy. This article analyzes a basic mathematical model that includes burst size for oncolytic virotherapy. The analysis of the model shows that there are two threshold values of the burst size: below the first threshold, the tumor always grows to its maximum (carrying capacity) size; while passing this threshold, there is a locally stable positive equilibrium solution appearing through transcritical bifurcation; while at or above the second threshold, there exits one or three families of periodic solutions arising from Hopf bifurcations. The study suggests that the tumor load can drop to a undetectable level either during the oscillation or when the burst size is large enough.
authors.affiliation: Department of Mathmatics, The College of William and Mary, Williamsburg, VA 23187, USA. jptian@math.wm.edu
authors.forename: Jianjun Paul
authors.initials: JP
authors.lastname: Tian
mesh_terms: D000818:Animals; D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000503:physiopathology* / Q000821:virology*; D050130:Oncolytic Virotherapy / Q000379:methods*; D050504:Oncolytic Viruses / Q000502:physiology*; D014779:Virus Replication / Q000502:physiology*