In the present work the author incorporated the surrounding medium with Hodgkin Huxley model to account the effect of surroundings on the flow of current in cardiac muscles fibers. The Hodgkin Huxley Kelvin like model is developed
here and then the governing equations are solved by appropriate mathematical methods and the obtained results are compared with the previous experimental findings. Through obtained solutions, we check the mechanical properties in actual environment of cardiac muscles fibres and compare our findings with experimental results. Previous Hodgkin Huxley model did not give any idea about the medium, in which the cardiac muscles are immersed. The new developed model accounts the effect of medium efficiently on the current flow along with fiber's stimulation in cardiac muscles.