Parallel and sequential methods for ordinary differential equations
Parallel and sequential methods for ordinary differential equations
ICS '90 Proceedings of the 4th international conference on Supercomputing
The Mathematics of Infectious Diseases
SIAM Review
An integrative approach to high-performance biomedical problem solving environments on the Grid
Parallel Computing - Special issue: High-performance parallel bio-computing
PsyGrid: Applying e-Science to Epidemiology
CBMS '06 Proceedings of the 19th IEEE Symposium on Computer-Based Medical Systems
Future Generation Computer Systems
ANSS '07 Proceedings of the 40th Annual Simulation Symposium
RLadyBug-An R package for stochastic epidemic models
Computational Statistics & Data Analysis
MATH'07 Proceedings of the 12th WSEAS International Conference on Applied Mathematics
Spatial correlations in SIR epidemic models
MATH'05 Proceedings of the 7th WSEAS International Conference on Applied Mathematics
eMicrob: a grid-based spatial epidemiology application
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part III
Parallelization of implicit-explicit runge-kutta methods for cluster of PCs
Euro-Par'05 Proceedings of the 11th international Euro-Par conference on Parallel Processing
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The compartmental models using differential equations are basic models in epidemiology. The temporal evolution of spatial models for epidemic spreading is suitable for parallelization and GRID services are solutions for speeding the algorithms used in these models. We investigate several computational aspects of parallel algorithms used in cellular automata model and small world networks model. The four compartmental small world network model of disease propagation (SEIR) is parallelized. In the second application, we have found an asymptotic solution of zero degree for a nonlinear differential parabolic equations system with a unique, small parameter, in a cancerous disease model. We got a cancerous cells density using simulation in three stages according with some system parameter value. Grid service has been constructed for these numeric simulations.