Stability of genetic oscillators with distributed delayed feedback

Update Item Information
Publication Type honors thesis
School or College College of Science
Department Mathematics
Faculty Mentor Elena Cherkaev
Creator Thomas, J Payton
Title Stability of genetic oscillators with distributed delayed feedback
Date 2023
Description Genetic oscillators govern periodic phenomena in biology including circadian rhythms and are also the basis of biological clocks used in the design of synthetic genetic circuits. Models of genetic oscillators tend to neglect biological detail, however, because biological systems tend to be too complicated to model efficiently. One way to incorporate additional biological detail into models of genetic oscillators is to use distributed delay differential equations. To investigate the utility of distributed delay differential equations for modeling genetic oscillators, we constructed delayed differential equation models of genetic oscillatory motifs. We found that these models are equivalent to higher-dimension models, which are reflective of more granular biological detail. We also characterized the stability of these models. Our findings may inform future modeling efforts in the domains of synthetic and systems biology, where delayed differential equations could pose advantages over ordinary differential equation models.
Type Text
Publisher University of Utah
Language eng
Rights Management (c) Payton J Thomas
Format Medium application/pdf
Permissions Reference URL https://collections.lib.utah.edu/ark:/87278/s6x0p00j
ARK ark:/87278/s66zpdee
Setname ir_htoa
ID 2291866
Reference URL https://collections.lib.utah.edu/ark:/87278/s66zpdee
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