Name
Title | ||
|---|---|---|
The importance of grid size and boundary conditions in discrete tumor growth modeling |
Abstract | ||
|---|---|---|
Modeling tumour growth has proven a very challenging problem, mainly due to the fact that cancer is a very complex process that spans multiple scales both in time and space. The desire to describe interactions in multiple scales has given rise to modeling approaches that use both continuous and discrete variables, called hybrid. The biochemical processes occurring in tumour environment are usually described by continuous variables. Cancer cells tend to be described as discrete agents interacting with their local neighborhood, which is comprised of their extracellular environment and nearby cancer cells. These interactions shape the microenvironment, which in turn acts as a selective force on clonal emergence and evolution. In this work, we study the effects of grid size and boundary conditions of the continuous processes on the discrete populations. We perform various tests on a simplified hybrid model with the aim of achieving faster execution runtimes. We conclude that we can reduce the grid size while maintaining the same dynamics of a larger domain by manipulating the boundary conditions. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/IARWISOCI.2014.7034635 | IARWISOI |
Keywords | DocType | Citations |
biochemistry,cancer,cellular biophysics,differential equations,grid computing,hybrid simulation,medical computing,tumours,boundary condition effects,boundary conditions,cancer cells,clonal emergence,continuous variables,discrete agents,discrete populations,discrete tumor growth modeling,discrete variables,evolution,extracellular environment interactions,faster execution runtimes,grid size effects,local neighborhood interactions,microenvironment interactions,selective force,simplified hybrid model,tumour biochemical processes,tumour environment,lattices,accuracy,automata,force,computational modeling | Conference | 0 |
PageRank | References | Authors |
0.34 | 3 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| georgios tzedakis | 1 | 8 | 1.64 |
| giorgos grekas | 2 | 0 | 0.34 |
| Eleftheria Tzamali | 3 | 12 | 2.65 |
| Kostas Marias | 4 | 134 | 28.80 |
| Vangelis Sakkalis | 5 | 110 | 23.68 |