ISTASC'06 Proceedings of the 6th WSEAS International Conference on Systems Theory & Scientific Computation
ISTASC'06 Proceedings of the 6th WSEAS International Conference on Systems Theory & Scientific Computation
WSEAS Transactions on Mathematics
WSEAS Transactions on Mathematics
MACMESE'08 Proceedings of the 10th WSEAS international conference on Mathematical and computational methods in science and engineering
FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
SMO'05 Proceedings of the 5th WSEAS international conference on Simulation, modelling and optimization
EC'05 Proceedings of the 6th WSEAS international conference on Evolutionary computing
A gradient-driven mathematical model of antiangiogenesis
Mathematical and Computer Modelling: An International Journal
Modelling the role of cell-cell adhesion in the growth and development of carcinomas
Mathematical and Computer Modelling: An International Journal
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In the recent years, much mathematical research has been observed in the description of tumors' growth, in the early detection of cancer and in the optimization of cancer treatment planning. In this paper, the Crank-Nicolson method is proposed for the solution of different mathematical models of carcinogenesis and cancer therapy and a Genetic-Algorithms-based method for the optimal cancer therapy is also presented. First we intend to provide the Crank-Nicolson for a tumor-immune system interaction, which describes the early dynamics of cancerous cells, competing with the immune system, potentially leading to either the elimination of tumoral cells or to the viability of a solid tumor. Secondly we provide the Crank-Nicolson method for the brain tumors and a Genetic-Algorithms-based method for the optimal cancer therapy for the brain tumors is also presented.