Stochastic Processes from Batch Crystallization to In-vitro Fertilization

TL;DRAbstract

Around 80 million people all over the world are suffering from infertility issues. The prevalence of infertility has increased worldwide due to modern lifestyle, postponed childbearing, infections, genetic disorders, etc. Most infertile couples resort to medical procedures like assisted reproductive technology (ART) for treatment. In-vitro fertilization (IVF) is the most common technique in ART and is divided into four stages: superovulation, egg retrieval, insemination/fertilization and embryo transfer. The first stage of superovulation is a drug induced method to enable multiple follicle growth to oocytes in a single menstrual cycle. The overall success of IVF is dependent upon the initial success in the superovulation stage, defined by high number of uniformly sized and good quality oocytes/eggs retrieved. The research involves mathematical modeling of this stage in terms of follicle growth and their size distribution as a function of interactions of the hormonal drugs and patient r

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