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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics mathematical analysis differential equations
- medical and health sciences clinical medicine oncology
- medical and health sciences basic medicine immunology immunotherapy
You need to log in or register to use this function
We are sorry... an unexpected error occurred during execution.
You need to be authenticated. Your session might have expired.
Thank you for your feedback. You will soon receive an email to confirm the submission. If you have selected to be notified about the reporting status, you will also be contacted when the reporting status will change.
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-ERG-2008
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
00-927 WARSZAWA
Poland
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.