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Table 5 Multi-valued models

From: ADAM: Analysis of Discrete Models of Biological Systems Using Computer Algebra

next state of x2

low x2

medium x2

high x2

x1 absent

low x2

medium x2

high x2

x1 present

medium x2

high x2

high x2

extension x1 present

medium x2

high x2

high x2

  1. Updates for variable x2 in a logical model, where x2 depends on x1 and itself. The states 0 and 1 represent absent and present for the Boolean variable x1; 0, 1, and 2 represent low, medium, and high for the multi-valued variable x2. The last row is introduced in the polynomial dynamical system such that all variables are defined over . The extra states (2, 0), (2, 1), (2, 2) in the state space should be ignored when interpreting the dynamics.