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Table 3 Information written in a TecML file

From: A CellML simulation compiler and code generator using ODE solving schemes

Notation Definition
ξ 0 = [ ξ 0 , 1 , ξ 0 , 2 , , ξ 0 , N x ] T Input differential variable vector
ξ N ξ = [ ξ N ξ , 1 , ξ N ξ , 2 , , ξ N ξ , N x ] T Output differential variable vector
ξ i (1 ≤ i ≤ N ξ ) Time differential variable vector
Ξ = [ ξ 0 , ξ 1 , , ξ N ξ ] T Differential variable vector of ξ
t Current time value
δ Time step
ζ = [ ζ 0 , ζ 1 , , ζ N z ] T Constants vector
τ = T i (t,δ) Calculation of variable T i
Φ ( ξ , ι , τ , ζ ) = [ ϕ 1 ( ξ , ι , τ , ζ ) , , ϕ N x ( ξ , ι , t , ζ ) ] T Differential equation vector
Γ ( γ , ι , τ , ζ ) = [ γ 1 ( ξ , ι , τ , ζ ) , , γ N y ( ξ , ι , t , ζ ) ] T Temporal function vector
κi + 1 = Φ(ξ,ι,t,ζ) Derivative variable vector
ι i  = Γ(ξ,ι,t,ζ) Temporal variable derived from ξ
π = [ κ 1 , κ 2 , , κ N ξ ] T Derivative vector of κ
ξ i  = σ(Ξ,K,δ) Relation between ξ i and Ξ,K,δ