Background: For the study of gestational diabetes mellitus one of the types of diabetes mellitus a refined model is developed by considering different parameters which plays an important role in the field of gestational diabetes mellitus. Motherhood and a journey of having a child is a blessing of God and a significant occasion for every woman. This disease is associated with the pregnant women and now a day either its global or Indian scenario it is increasing and becoming a risk for women as well for fetus. It sometimes does not go with pregnancy but its effects can be seen afterwards. Many patents have been granted and filed in past two decades related to gestational diabetes mellitus.
Method: A differential equations based model of different parameters are taken into account for gestational diabetes i.e. glucose concentration, insulin concentration, placental volume, beta-cell mass and haemoglobin alc. Further in this work the stability of model is discussed by routh-hurwitz stability criterion.
Results: Different parameters are taken into account for gestational diabetes i.e. glucose concentration, insulin concentration, placental volume, beta-cell mass and haemoglobin alc. Further in this chapter the stability of model is discussed by routh-hurwitz stability criterion. MATlab simulation is used for graphical representation.
Conclusion: In this work, different parameters associated with diabetes mellitus has been taken into consideration for the mathematical model which shows the effects on glucose level and thus helpful in understanding the role of these parameters in the diabetes. In future by understanding the role of these parameters necessary action can be taken as precautions to avoid/treat gestational diabetes mellitus.
Haemoglobin A1c, β-cell mass, placental volume, Gestational Diabetes Mellitus (GDM), Routh-Hurwitz (RH) stability criterion, equations based model.