The role of growth factors in avascular tumour growth
Mathematical and Computer Modelling: An International Journal
Dynamics of tumor interaction with the host immune system
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Qualitative analysis of a nonlinear integrodifferential equation modeling tumor-host dynamics
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
A mathematical model of vascular tumour growth and invasion
Mathematical and Computer Modelling: An International Journal
Fractal evaluation of a discrete model for simulation of avascular tumor growth
ACMOS'08 Proceedings of the 10th WSEAS International Conference on Automatic Control, Modelling & Simulation
Computer Methods and Programs in Biomedicine
Optimal therapeutic protocols in cancer immunotherapy
Computers in Biology and Medicine
Parallel system for abnormal cell growth prediction based on fast numerical simulation
MTPP'10 Proceedings of the Second Russia-Taiwan conference on Methods and tools of parallel programming multicomputers
Mathematical modelling of cancer cell invasion of tissue
Mathematical and Computer Modelling: An International Journal
Metamodeling tumor-immune system interaction, tumor evasion and immunotherapy
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Critical analysis and perspectives on kinetic (cellular) theory of immune competition
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
The dynamics of an optimally controlled tumor model: A case study
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Norm conservation for generalized kinetic population models with delay
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Delay-induced oscillatory dynamics of tumour-immune system interaction
Mathematical and Computer Modelling: An International Journal
A mathematical model for single cell cancer-Immune system dynamics
Mathematical and Computer Modelling: An International Journal
Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic Core
Journal of Scientific Computing
Hi-index | 0.98 |
This paper provides a survey of mathematical models and methods dealing with the analysis and simulation of tumor dynamics in competition with the immune system. The characteristic scales of the phenomena are identified and the mathematical literature on models and problems developed on each scale is reviewed and critically analysed. The aim is to provide a general framework towards the development of immuno-mathematical theories and to develop research perspectives in this promising new field of applied mathematics.