Paper Info
Title
Bifurcation diagrams for the moments of a kinetic type model of keloid-immune system competition
Abstract
The mathematical modelling of the keloid disease triggered by a virus has been recently investigated by one of the authors, Bianca (2011) [5], where it was shown that the model is able to depict the emerging behaviours which occur during the keloid formation. This paper deals with further numerical investigations of that model related to the bifurcation analysis of the measurable macroscopic variables associated to each functional subsystem. It is shown that there exists a critical value of a bifurcation parameter separating situations where the immune system controls the keloid formation from those where malignant effects are not contrasted.
Year
DOI
Venue
2011
10.1016/j.camwa.2010.11.003
Computers & Mathematics with Applications
Keywords
Field
DocType
immune system,malignant effect,stochastic games,mutations,fibrosis,critical value,bifurcation parameter,keloid disease,bifurcation analysis,functional subsystem,kinetic type model,complexity,kinetic theory,mathematical modelling,keloid formation,bifurcation diagram,measurable macroscopic variable,evolution,keloid-immune system competition,kinetics
Statistical physics,Keloid formation,Bifurcation analysis,Measure (mathematics),Keloid,Mathematical analysis,Bifurcation diagram,Computational mathematics,Theoretical physics,Critical value,Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
61
2
Computers and Mathematics with Applications
Citations 
PageRank 
References 
2
0.42
2
Authors
2
Name
Order
Citations
PageRank
Carlo Bianca1111.99
Luisa Fermo2174.62