How determinate parameters for thermal-model battery (Advanced question about battery modelling)
Just a long comment....not an answer..
I don't have the patience to follow the thermal-chemical model when the author completely ignores the electric properties of all batteries and supercaps  electrical double layer  effects.
In the simple electrical model the battery has a  low ESR1 capacitance, C1 in xx kFarads that is responsible for short term load voltage drops with high current e.g. CCA test which resumes to the previous voltage with charge transfer from the higher C2 value ( and higher ESR2) for slow 10h load tests (Ah rating)

The more complex model has more layers of n charge layers C not just 2 but usually adequate with expected tolerances of results.




simulate this circuit &ndash; Schematic created using CircuitLab
The battery  rises in ESR rapidly as SoC &lt; 10% and increases &gt;100x when dead with &lt;1% of the Capacitance. ( which is why the battery voltage drops quickly when load on a dead cell, then restores back quickly after load removed)
Yet it is well known that batteries reduce ESR with rising temperature and deliver more current, at the expense of significantly more rapid aging which has also significant effects on plate sulphation at high temp or low SoC for extended periods causing &gt;10X rise in ESR and leakage across cell.
It is also well known that SLA cells require a temperature compensated CV level after CC due to the thermal voltage coefficient, which you may look up.
Furthermore when 6x 2V cells in series come out of manufacturing with &lt;&lt;1% cell electrical properties, it can be measured in flooded cells by individual cell voltage under pulse and static load and also  specific gravity , s.g.which correlates well with low s.g. and high ESR and low capacitance (Ah)
The effect of aging follows the weak link theory that the weakest cell reaches 0% and 100% Soc first and this ages the cell further.  However brief   high current pulses , low Pavg resonates plate suplation crystals to break down and flood cell short term cavitation of acid  is used to rejuvenate plates from sulphation if the damage is short term.
SO knowing the above from personal experience of analysis and testing, I didn't have the patience to look at Electro-thermal only potentials.  sawwie
Maxwell Supercap tests account for the above model in test plan to get equiv C using &quot;rest times between discharges&quot;
http://www.maxwell.com/images/documents/1007239-EN_test_procedures_technote.pdf
p.s. electrolytics and high Dk ceramics also have the &quot;memory effect&quot; from  electrical double layers which is why non-NP0 ceramic caps should never be used in S&amp;H circuits.