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We investigate models of the mitogenactivated protein kinases (MAPK) network,with the aim of determining where in parameter space there exist multiplepositive steady states. We build on recent progress which combines varioussymbolic computation methods for mixed systems of equalities and inequalities.We demonstrate that those techniques benefit tremendously from a newlyimplemented graph theoretical symbolic preprocessing method. We comparecomputation times and quality of results of numerical continuation methods withour symbolic approach before and after the application of our preprocessing.

Symbolic Versus Numerical Computation and Visualization of Parameter Regions for Multistationarity of Biological Networks