Feedback Spreading Control Applied to Immunotherapy

Author: KASSARA, KHALID

Source: Mathematical Population Studies, Volume 12, Number 4, October-December 2005 , pp. 211-221(11)

Publisher: Routledge, part of the Taylor & Francis Group

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Abstract:

How should immunotherapy be controlled so as to eliminate cancer cells from a tissue? The populations of immune cells, tumor cells, chemokine and complexes are governed by four semilinear partial differential equations controlled by both the dosage of effector cells and the therapy zone. The corresponding control problems are formulated in the framework of feedback spreading control (FSC) seeking to expand the zones without tumor cells to the entire tissue. Algorithms for computing FSC laws are used to demonstrate how the dosage of effector cells and the therapy zones are determined in order to provide feedback therapy protocols which keep the patient healthy.

Keywords: Immunotherapy; mathematical modelling; cell population dynamics; spreading control

Document Type: Research article

DOI: http://dx.doi.org/10.1080/08898480500301819

Affiliations: 1: University Hassan II, Morocco

Publication date: 2005-10-01