Table 13.

Achieved inference results when inferring the parameters of $I_{\text{Serca}}$ using PINN and PINC. Note that the accuracy of the dynamics is measured on the data set Noise.

Parameter		Unit	Real	Inferred	${𝒜}_{\overrightarrow{p}}$	${𝒜}_{\text{all}}$	${𝒜}_{\text{obs}}$
PINN
${\text{Ca}}^{2+}$ affinity	${\nu }_{ER}$	$\frac{mM}{s}$	0.0045	0.00395	86.7%	67.5%	76.6 %
Max. ${\text{Ca}}^{2+}$ uptake	$K_{ER}$	$mM$	1e-4	8.77e-5	87.7%	67.5%	76.6 %
PINC
${\text{Ca}}^{2+}$ affinity	${\nu }_{ER}$	$\frac{mM}{s}$	0.0045	0.00438	97.3%	66.7%	77.5%
Max. ${\text{Ca}}^{2+}$ uptake	$K_{ER}$	$mM$	1e-4	8.92e-5	89.2%	66.7%	77.5%