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Description:: Circadian rhythms — physiological, behavioral, and metabolic oscillations with an approximate 24-h period — are controlled by an evolutionarily conserved set of core clock genes operating at the transcriptional and protein level. Entrainable by Zeitgebers (external environmental stimuli such as light, temperature, and food) that modulate time-of-day specific functions, the...
Keyword:: Time-Series Analysis, Biostatistics, Topological Data Analysis, Gene Expression Analysis, Dynamical Systems, Computational Biology, Circadian Rhythms., Circadian Biology, and Differential Rhythm Detection
Creator:: Ness-Cohn, Elan
Owner:: Chris Diaz
Publisher:: Northwestern University
Date Uploaded:: 01/20/2022
Date Modified:: 01/20/2022
Date Created:: 2021-01-07
Resource Type:: Dataset

Description:: Dynamical modeling aims to capture the essential mechanics at work in real-world systems while remaining tractable enough to yield mathematical insights for predictions and interventions. The work presented here first takes this approach to the system of political ideology and influence, establishing a model for the continuous-time evolution of individual...
Keyword:: Sociophysics, Opinion Dynamics, Dynamical Systems, Stochastics, Modeling, and Coupled Particles
Subject:: Applied mathematics
Creator:: Sabin-Miller, David Webster
Owner:: Scholarly Digital Publishing
Language:: en
Date Uploaded:: 02/16/2023
Date Created:: 2022-01-01
Resource Type:: Dissertation
Alternate Identifier:: http://dissertations.umi.com/northwestern:16340 and etdadmin_upload_944503

Description:: No two cells in a population are identical to each other. Cell populations are almost universally heterogeneous, with their heterogeneity or variability often underlying complex emergent behavior and phenotypes. Heterogeneity presents a challenge to the discovery, characterization, and control of multicellular systems. Heterogeneity exists across multiple scales, ranging from the...
Keyword:: Circadian Rhythms, Systems Biology, Control Theory, Dynamical Systems, and Mathematical Modeling
Subject:: Bioengineering and Chemical engineering
Creator:: Balakrishnan, Narasimhan
Owner:: Scholarly Digital Publishing
Language:: en
Date Uploaded:: 06/22/2022
Date Created:: 2022-01-01
Resource Type:: Dissertation
Alternate Identifier:: etdadmin_upload_879749 and http://dissertations.umi.com/northwestern:15942

Description:: Perhaps because of the influence of the central limit theorem, it is common for scientists to assume distributions in the real world are singly peaked and unimodal. However, many quantities in nature are actually better represented by multimodal distributions. One must provide an explanation for this disconnect between the central...
Keyword:: Multimodality, Ecology, Economics, Dynamical Systems, Applied Mathematics, and Coupled Oscillators
Subject:: Ecology, Applied mathematics, and Economics
Creator:: Johnson, Joseph Davis
Owner:: Scholarly Digital Publishing
Language:: en
Date Uploaded:: 02/01/2021
Date Created:: 2020-01-01
Resource Type:: Dissertation
Alternate Identifier:: http://dissertations.umi.com/northwestern:15298 and etdadmin_upload_765238

Description:: The behavior of type-II superconductors is modeled using the time-dependent Ginzburg Landau equations (TDGLE). Pinning centers (inclusions) and geometries which maximize the critical current that can be passed through a superconductor are numerically obtained. Previous analytical results are summarized and new results are obtained for the critical current in one...
Keyword:: Phase Slips, Magnetic Vortices, Dynamical Systems, Optimization, and Superconductivity
Subject:: Engineering Sciences and Applied Mathematics
Creator:: Gregory Jonathan Kimmel
Owner:: Scholarly Digital Publishing
Date Uploaded:: 02/12/2018
Date Modified:: 02/13/2018
Date Created:: 2016-01-01
Resource Type:: Dissertation

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