Mimic therapeutic actions against keloid by thermostatted kinetic theory methods
Laboratoire de Physique Théorique de la Matière Condensée, Sorbonne Universités, UPMC Univ Paris 06, UMR 7600, 4, place Jussieu, case courrier 121, 75252, Paris cedex 05, France
2 CNRS, UMR 7600 LPTMC, Paris, France
* e-mail: firstname.lastname@example.org
Accepted: 10 July 2015
Published online: 5 August 2015
This paper deals with the modeling of a wound-healing disease under a therapeutic action by employing the methods of the thermostatted kinetic theory for active particles. In particular, in order to test therapeutic actions against keloid formation and the possible development of a cancer, an external force field coupled to a Gaussian thermostat is introduced into a mathematical model recently proposed. Specifically the model depicts the competition of the immune system cells with a virus, the mutated fibroblast cells, and the cancer cells. Employing a computational analysis, the effects of three different external forces mimic therapeutic actions are analyzed: A vaccine for the virus, the PUVA therapy for the keloid and a vaccine for the cancer. The results are in agreement with the evidence that the sole action of the immune system is not sufficient to obtain a total depletion of keloid thus requiring the definition of a therapy. Further refinements and developments of the model are also discussed in the paper.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015