Mathematical model of growth and neuronal differentiation of human induced pluripotent stem cells seeded on melt electrospun biomaterial scaffolds

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dc.contributor.authorHall, Meghan
dc.contributor.supervisorEdwards, Roderick
dc.contributor.supervisorWillerth, Stephanie M.
dc.date.accessioned2016-08-18T18:51:59Z
dc.date.available2016-08-18T18:51:59Z
dc.date.copyright2016en_US
dc.date.issued2016-08-18
dc.degree.departmentDepartment of Mathematics and Statisticsen_US
dc.degree.levelMaster of Science M.Sc.en_US
dc.description.abstractHuman induced pluripotent stem cells (hiPSCs) have two main properties: pluripotency and self-renewal. Physical cues presented by biomaterial scaffolds can stimulate differentiation of hiPSCs to neurons. In this work, we develop and analyze a mathematical model of aggregate growth and neural differentiation on melt electrospun biomaterial scaffolds. An ordinary differential equation model of population size of each cell state (stem, progenitor, differentiated) was developed based on experimental results and previous literature. Analysis and numerical simulations of the model successfully capture many of the dynamics observed experimentally. Analysis of the model gives optimal parameter sets, that correspond to experimental procedures, to maximize particular populations. The model indicates that a physiologic oxygen level (~5%) increases population sizes compared to atmospheric oxygen levels (~21%). Model analysis also indicates that the optimal scaffold porosity for maximizing aggregate size is approximately 63%. This model allows for the use of mathematical analysis and numerical simulations to determine the key factors controlling cell behavior when seeded on melt electrospun scaffolds.en_US
dc.description.scholarlevelGraduateen_US
dc.identifier.urihttp://hdl.handle.net/1828/7459
dc.languageEnglisheng
dc.language.isoenen_US
dc.rightsAvailable to the World Wide Weben_US
dc.subjectStem cellen_US
dc.subjectBiomaterial scaffolden_US
dc.subjectTissue engineeringen_US
dc.subjectMathematical modelen_US
dc.subjectOrdinary differential equationen_US
dc.subjectNeuronen_US
dc.subjectSpinal cord injuryen_US
dc.subjectDifferentiationen_US
dc.subjectProgenitor cellen_US
dc.titleMathematical model of growth and neuronal differentiation of human induced pluripotent stem cells seeded on melt electrospun biomaterial scaffoldsen_US
dc.typeThesisen_US

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