ANGIODEL

Influence of delays on the models of angiogenesis process and immunotherapy of cancer

Coordinatore	UNIWERSYTET WARSZAWSKI    more  Organization address address: Krakowskie Przedmiescie 26/28 city: WARSAW postcode: 927 contact info Titolo: Dr. Nome: Urszula Cognome: Forys Email: send email Telefono: +48 22 5544567 Fax: +48 22 5544301
Nazionalità Coordinatore	Poland [PL]
Totale costo	45˙000 €
EC contributo	45˙000 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-ERG-2008
Funding Scheme	MC-ERG
Anno di inizio	2008
Periodo (anno-mese-giorno)	2008-11-01   -   2011-10-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	UNIWERSYTET WARSZAWSKI  Organization address address: Krakowskie Przedmiescie 26/28 city: WARSAW postcode: 927 contact info Titolo: Dr. Nome: Urszula Cognome: Forys Email: send email Telefono: +48 22 5544567 Fax: +48 22 5544301	PL (WARSAW)	coordinator	0.00

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 Obiettivo del progetto (Objective)

'Tumour growth, dynamics and interactions with an immune system are very important processes from medical point of view and can be also considered as a topic of mathematical modelling and analysis. We would like to focus on the models of tumour angiogenesis process and immunotherapy of cancer known from the literature and study the influence of time delays on the dynamics of these models solutions. It is well-known that the signaling pathways can be modelled using time delays. Therefore, the models described by systems of ordinary differential equations can be modified to the systems of delay differential equations. Such modifications have been considered for example in the case of Hahnfeldt et al. model of angiogenesis process which is the most accepted model of this process. Immune processes are also considered as delayed with respect to the stimuli. The first model which reflects this effect was proposed by G.I. Marchuk (1980). At present there arises many models describing different aspects of anti-tumour immunity and immunotherapy of cancer. Within the project we will study the influence of time delays on the dynamics of solutions to mathematical systems of differential equations describing tumour angiogenesis and immunotherapy of cancer focusing on the models with at least two delays. From the mathematical point of view the dynamics of systems with several delays is not as well-known as in the case of one discrete delay and such analysis is a challenging problem and can bring also some insight to the medical knowledge and treatment of cancer.'