Optimisation of Ionic Models to Fit Tissue Action Potentials: Application to 3D Atrial Modelling

Table 1

Constraints imposed on each parameter for each ionic model cell type during model optimisation.

Current	Parameter	cSAN		pSAN		RA, LA, PV
		Lower limit	Upper limit	Lower limit	Upper limit	Lower limit	Upper limit
𝐼1	𝑔1 (μS·cm^−2)	0	20000	10	10000	10	20000
	𝐸rev,1 (mV)	−100	−70	−100	100	−100	−60
	𝑘𝛼𝑝1 (s^−1)	0	5000	0	5000	0	5000
	𝑠𝛼𝑝1 (mV^−1)	−5	0	−5	0	−0.2	0
	𝑘𝛽𝑝1 (s^−1)	0	5000	0	5000	0	5000
	𝑠𝛽𝑝1 (mV^−1)	0	5	0	5	0	0.2
	𝐸50,𝑝1 (mV)	−70	3	−80	20	−80	25
	𝑘𝛼𝑞1 (s^−1)	0	5000	0	5000	0	5000
	𝑠𝛼𝑞1 (mV^−1)	−5	0	−5	0	−0.2	0
	𝑘𝛽𝑞1 (s^−1)	0	5000	0	5000	0	5000
	𝑠𝛽𝑞1 (mV^−1)	0	5	0	5	0	0.2
	𝐸50,𝑞1 (mV)	−70	3	−100	100	−80	25
𝐼2	𝑔2 (μS·cm^−2)	0	20000	10	10000	10	20000
	𝐸rev,2 (mV)	5	100	−100	100	40	100
	𝑘𝛼𝑝2 (s^−1)	0	5000	0	5000	0	5000
	𝑠𝛼𝑝2 (mV^−1)	−5	0	−5	0	−0.2	0
	𝑘𝛽𝑝2 (s^−1)	0	5000	0	5000	0	5000
	𝑠𝛽𝑝2 (mV^−1)	0	5	0	5	0	0
	𝐸50,𝑝2 (mV)	−70	3	−80	20	−80	25
	𝑘𝛼𝑞2 (s^−1)	0	5000	0	5000	0	5000
	𝑠𝛼𝑞2 (mV^−1)	0	5	0	5	0	0.2
	𝑘𝛽𝑞2 (s^−1)	0	5000	0	5000	0	5000
	𝑠𝛽𝑞2 (mV^−1)	−5	0	−5	0	0.2	0
	𝐸50,𝑞2 (mV)	−70	3	−100	100	−80	25
𝐼𝐿	𝑔𝐿 (μS·cm^−2)	0	20000	10	10000	10	20000
	𝐸rev,𝐿 (mV)	5	100	−100	100	−60	0

𝐼₁: outward time-dependent current, 𝐼₂: inward time-dependent current, 𝐼_𝐿: leakage current.