Is there a differ­ence between the Batemo Cell Model FMU and the imple­men­ta­tion for MATLAB Simulink?

No. The Batemo Cell Model inputs, parame­ters and outputs are identical. Differ­ences only arise from the fact that the different simula­tion environ­ments integrate the Batemo Cell Model FMU differ­ently resulting in a slightly different graph­ical user inter­face of the Batemo Cell Model.