Mitigation of sickle cell crises using chaos-based analysis
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics.
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Sickle-cell diseased persons suffer finite pain episodes (luring their lifetime, which are termed sickle cell crises. Using a sickle cell blood flow model, we mathematically demonstrate that the onset of a sickle cell crisis is chaotic. We further show that sickle cell crises may be mitigated by manipulating certain physiological parameters, namely the partial pressure of oxygen at 50% hemoglobin ([mathematical formula]%) and the kinetic dissociation rate of hemoglobin (kub) These physiological parameters control the chaotic nature of sickle cell crises and have the ability to transfer a person from a crisis state to a non-crisis state. We determine that sickle cell crises may only be mitigated within a critical time period (0 </- t </- 2.5hrs) after the onset of a sickle cell crisis. Based on our analysis, we classify three stages of a sickle cell crisis as weak chaos, strong chaos, and hyperchaos; which range from light to intense pain. Drugs may be developed, based on our analysis, to target these physiological parameters and mitigate sickle cell crises at its onset.
Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2018.Cataloged from PDF version of thesis.Includes bibliographical references (page 39).
DepartmentMassachusetts Institute of Technology. Department of Aeronautics and Astronautics.
Massachusetts Institute of Technology
Aeronautics and Astronautics.