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The transition of the fetus at birth to extrauterine life is an extremely complex process. As part of the hemodynamic transition, the closure of ductus arteriosus, a fetal shunt, is among the key steps to achieve normal postnatal cardiovascular function. However, significant gaps remain in our knowledge pertaining to the hemodynamics of normal ductal closure, and in case of failure of closure, to the hemodynamic consequences and treatment of the patent ductus arteriosus (PDA) in preterm infants. This thesis presents a mathematical model of a newborn’s cardiovascular system with five peripheral organ systems, the ductus arteriosus, and the baroreceptor reflex. We present the hemodynamic findings during simulation of sudden ductal closure, an event seen in real life when the PDA is closed surgically. The results of our model match the clinical data. We speculate that after appropriate modification of the parameters for the preterm infant and validation based on clinical data, the model could be used for quantitative analysis and prediction of the hemodynamic events associated with PDA ligation as well as pharmacological closure of PDA.