TY - JOUR
T1 - Impact of Variability in Stochastic Models of Bacteria-Phage Dynamics Applicable to Phage Therapy
AU - Vidurupola, Sukhitha W.
AU - Allen, Linda J.S.
PY - 2014/5
Y1 - 2014/5
N2 - Phages are viruses that kill bacteria and are used to treat bacterial infections. We review the biology of phage, discuss models of phage, then formulate new stochastic models with the goal of studying the impact of variability on phage therapy. Two new stochastic models are derived based on an underlying ordinary differential equation model. A continuous-time Markov chain model and a stochastic differential equation model account for variability due to adsorption, reproduction and release of phage particles. A branching process approximation yields an estimate for the probability of phage extinction. Numerical examples highlight the importance of variability in modeling phage.
AB - Phages are viruses that kill bacteria and are used to treat bacterial infections. We review the biology of phage, discuss models of phage, then formulate new stochastic models with the goal of studying the impact of variability on phage therapy. Two new stochastic models are derived based on an underlying ordinary differential equation model. A continuous-time Markov chain model and a stochastic differential equation model account for variability due to adsorption, reproduction and release of phage particles. A branching process approximation yields an estimate for the probability of phage extinction. Numerical examples highlight the importance of variability in modeling phage.
KW - Bacteriophage
KW - Branching process
KW - Lytic cycle
KW - Stochastic differential equation
UR - http://www.scopus.com/inward/record.url?scp=84899624386&partnerID=8YFLogxK
U2 - 10.1080/07362994.2014.889922
DO - 10.1080/07362994.2014.889922
M3 - Article
AN - SCOPUS:84899624386
SN - 0736-2994
VL - 32
SP - 427
EP - 449
JO - Stochastic Analysis and Applications
JF - Stochastic Analysis and Applications
IS - 3
ER -