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The plant cell walls play an important role in defining the shape and size of the plant cell, matter flow regulation, mitigation of environmental influences and achievement of homeostasis, as well as in defense and protection against pathogens in plant tissues and organs. This paper presents an original approach to the establishment of the mathematical model based upon the former study dealing with the surface nano-roughness distribution of the model cell wall. The differential equation accompanied with the appropriate additional conditions, which describes such kind of distributions, has been formulated and presented. The developed model was tested using the already reported experimental data of an artificial cell wall, made of polysaccharides based on bacterial cellulose supplemented with xyloglucan and pectin (BCPX) that imitate properties of the natural cell wall. It has been demonstrated that proposed differential equation, has an analytical solution in the form of the normal Gaussian distribution, which describes the surface roughness of cell walls made of this material accurately.