Cellulose is one of the natural bio-polymers which have been extensively employed in various fields due to their valuable and remarkable chemical and physical properties. As cellulose is a key ingredient in many products, its applications have been recognized across many industries like pharmaceutical, bio-fuels, textiles, and etc. Since graphs have such a wide range of applications, the study of graphs using chemistry attracts a lot of researchers worldwide. Studying topological indices of a chemical graph, which describe the structure of molecules, is one such application. In this paper, topological indices based on the bond have been used to compute the cellulose chemical structure using the Mostar index, a weighted version of the Mostar index and its polynomial.