Optimization models on management of multiple sclerosis

This paper has discussed the programming problems for optimal management of Multiple Sclerosis (MS) based on stochastic modeling of MS by Tirupathi Rao et al. [9].The proposed problems deal with the objectives of minimizing the expected size of MS, maximizing the expected size of oligodendrocytes and minimizing the variance of oligodendrocytes. The constraints are formulated with the minimum limit on expected size of oligodendrocytes, maximum limit on expected size of MS causing cells and maximum limit on variance of oligodendrocytes. The decision variables like growth and loss rates of MS causing cells; growth and loss rates of oligodendrocytes are obtained from the study. The patterns of the objective functions and decision variables are observed and arrived to the conclusions. This study will useful for provide the indicators of MS so as monitoring of the disease control can be planned.