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-
- Description:
- The simplicity of morphogenesis, manifested as collective shape changes, emerges from complex biophysical regulations within a multicellular embryo. Constructing a spatio-temporal atlas of mechanical stresses is central for understanding the emergence of this simplicity. Developing a new mathematical theory for the static mechanics of three-dimensional multicellular aggregates involving pressures and...
- Keyword:
- Three-dimensional, Morphogenesis, Mathematical model, Ascidian gastrulation, and Force inference
- Subject:
- Applied mathematics
- Creator:
- Liu, Siqi
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 08/23/2023
- Date Created:
- 2023-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_1012636 and http://dissertations.umi.com/northwestern:16728
-
- Description:
- Motivated by rhythms in the brain, we investigate the synchronization of noisy and all-to-all pulse-coupled oscillators. We consider a case where the oscillatory excursions are of varying amplitude and where only sufficiently large excursions result in the output pulses that drive the interactions between the oscillators. In the regime of...
- Keyword:
- Oscillators, Markov Renewal, Events, Mixed-mode, Spiking, and Noise
- Subject:
- Applied mathematics
- Creator:
- Karamchandani, Avinash Jagdish
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 05/31/2023
- Date Created:
- 2023-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:16397 and etdadmin_upload_959050
-
- Description:
- This dissertation is a review of three projects I worked on during my time in the Computational Photography Lab at Northwestern University. First, a source separation problem for the X-Ray Fluorescence images of painted works of art is addressed through the incorporation of Hyperspectral Reflectance data. Following this, a discussion...
- Keyword:
- XRF, Computational Holography, Hypterspectral Imaging, Optical Coherence Tomorgraphy, Computational Imaging, and Cultural Heritage Science
- Subject:
- Applied mathematics
- Creator:
- Fiske, Lionel David
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 05/31/2023
- Date Created:
- 2023-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_961685 and http://dissertations.umi.com/northwestern:16405
-
- Description:
- Motivated by rhythms in the brain, we investigate the synchronization of noisy and all-to-all pulse-coupled oscillators. We consider a case where the oscillatory excursions are of varying amplitude and where only sufficiently large excursions result in the output pulses that drive the interactions between the oscillators. In the regime of...
- Keyword:
- Oscillators, Markov Renewal, Events, Mixed-mode, Spiking, and Noise
- Subject:
- Applied mathematics
- Creator:
- Karamchandani, Avinash Jagdish
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 03/24/2023
- Date Created:
- 2023-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:16397 and etdadmin_upload_959050
-
- Description:
- This dissertation is a review of three projects I worked on during my time in the Computational Photography Lab at Northwestern University. First, a source separation problem for the X-Ray Fluorescence images of painted works of art is addressed through the incorporation of Hyperspectral Reflectance data. Following this, a discussion...
- Keyword:
- XRF, Computational Holography, Hypterspectral Imaging, Optical Coherence Tomorgraphy, Computational Imaging, and Cultural Heritage Science
- Subject:
- Applied mathematics
- Creator:
- Fiske, Lionel David
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 03/24/2023
- Date Created:
- 2023-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_961685 and http://dissertations.umi.com/northwestern:16405
-
Recurrent inhibition within olfactory networks shapes noise correlations and stimulus discrimination
- Description:
- Each second, living organisms take in sensory input from an ever-changing environment and respond appropriately. Identifying and contextualizing stimuli is critical for survival, and it often necessitates distinguishing between sensory experiences that are similar to each other. Pattern separation characterizes the mechanisms by which neuronal networks extract and highlight differences...
- Keyword:
- Sensory processing, Neuroscience, and Olfaction
- Subject:
- Applied mathematics
- Creator:
- Wang, Angelia Feiyang
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/16/2023
- Date Created:
- 2022-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_945895 and http://dissertations.umi.com/northwestern:16353
-
- Description:
- Deterministic models are used to explain and predict the dynamics of ecosystems featuring cyclic competition schemes. The models are systems of reaction-diffusion partialdifferential equations that account for species mobility via Fickian diffusion and interspecies interactions according to the competition scheme. Length and temporal scales are chosen to be appropriate for...
- Keyword:
- cyclic ecosystems, nonlinear dynamics, rock-paper-scissors, traveling waves, exceptional species, and computational ecology
- Subject:
- Ecology and Applied mathematics
- Creator:
- Stiadle, Thomas Isaac
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/16/2023
- Date Created:
- 2022-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_946682 and http://dissertations.umi.com/northwestern:16361
-
- 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:
- Originally motivated by the emergence of networked systems lacking central coordination such as multiprocessors, wireless sensor networks and smart grids, the study of distributed optimization algorithms has been an active field of research spanning multiple decades. More recently, the rapid growth in the availability of high-dimensional datasets has posed the...
- Keyword:
- multi-agent systems, optimization, and distributed optimization
- Subject:
- Electrical engineering and Applied mathematics
- Creator:
- Iakovidou, Charikleia
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 09/22/2022
- Date Created:
- 2022-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:16228 and etdadmin_upload_927521
-
- Description:
- For stochastic simulation optimization in a modern computing era, we introduce a new parallel framework for solving very large-scale problems using a ranking & selection (R&S) approach that simulates all systems or feasible solutions to provide a global statistical guarantee. We propose a parallel adaptive survivor selection (PASS) framework that...
- Keyword:
- master-worker, simulation, parallel, stochastic, large-scale, and optimization
- Subject:
- Applied mathematics, Statistics, and Operations research
- Creator:
- Pei, Linda
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 06/22/2022
- Date Created:
- 2022-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_903888 and http://dissertations.umi.com/northwestern:16108
-
- Description:
- Mixing by cutting-and-shuffling (like that for a deck of cards or a Rubik's cube) is a paradigm that has not been studied in detail even though it can be applied in a variety of situations including the mixing of granular materials. Mathematically, cutting- and-shuffling is described by piecewise isometries (PWIs),...
- Keyword:
- granular materials, mixing, machine learning, piecewise isometries, cutting-and-shuffling, and interval exchange transforms
- Subject:
- Applied mathematics, Chemical engineering, and Mechanical engineering
- Creator:
- Lynn, Thomas Ferguson
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 06/22/2022
- Date Created:
- 2022-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_881325 and http://dissertations.umi.com/northwestern:15951
-
- 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:
- Differential Dynamics Detection, Time-Series Analysis, Dynamical Systems Theory, Circadian Rhythms, Topological Analysis, and Cycle Detection
- Subject:
- Biostatistics, Applied mathematics, and Bioinformatics
- Creator:
- Ness-Cohn, Elan Meir
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 06/22/2022
- Date Created:
- 2022-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_875611 and http://dissertations.umi.com/northwestern:15905
-
- Description:
- Modern data sets are increasingly vast, not only in the number of samples, but also in the number of measurements, or features, that they contain. This high-dimensionality poses a unique set of problems for data analysis due to a set of phenomena known as ``the curse of dimensionality.'' This thesis...
- Keyword:
- Data Visualization, Circular Linear Regression, Dimensionality Reduction, Curse of Dimensionality, and Quality Assessment
- Subject:
- Applied mathematics, Bioinformatics, and Computer science
- Creator:
- Johnson, Eric Mitchell
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 06/22/2022
- Date Created:
- 2022-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_892588 and http://dissertations.umi.com/northwestern:15988
-
- Description:
- Recently, machine learning and deep learning, which have made many theoretical and empir- ical breakthroughs and is widely applied in various fields, attract a great number of researchers and practitioners. They have become one of the most popular research directions and plays a sig- nificant role in many fields, such...
- Keyword:
- Algorithm Design, Deep Learning, Optimization, and Machine Learning
- Subject:
- Applied mathematics and Operations research
- Creator:
- Fang, Biyi
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/02/2022
- Date Created:
- 2021-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:15817 and etdadmin_upload_855647
-
- Description:
- Existing nonlinear optimization methods have proven reliable over the past few decades for a wide range of applications but have critically relied on accurate function and gradient evaluations. Modern nonlinear optimization problems arising from machine learning and scientific computing applications are increasingly complex and large scale, which make accurate evaluations...
- Keyword:
- Finite differences, Nonlinear optimization, Stochastic optimization, Noisy optimization, Quasi-Newton methods, and Derivative-free optimization
- Subject:
- Applied mathematics, Operations research, and Computer science
- Creator:
- Shi, Hao-Jun Michael
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/02/2022
- Date Created:
- 2021-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_848013 and http://dissertations.umi.com/northwestern:15785
-
- Description:
- Processing of sensory information in the brain is a pervasive and fundamental phenomenon across animal species and is involved in both "hard-wired" innate responses as well as learned and adaptive behaviors. Here, I show that the avoidance of hot temperature, a simple innate behavior, contains unexpected plasticity and complex processing...
- Keyword:
- systems neuroscience, sensory navigation, modeling, drosophila, thermosensation, and neural circuits
- Subject:
- Applied mathematics, Biology, and Neurosciences
- Creator:
- Levy, Joshua
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 10/07/2021
- Date Created:
- 2021-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_836701 and http://dissertations.umi.com/northwestern:15663
-
- Description:
- The focus on this thesis is on the dynamics of colloidal particles in an applied electric field in a uniform bulk fluid and on a fluid-fluid interface. In a bulk fluid, the dynamics of an isolated particle, one pair, and a cluster of particles under an applied nonuniform electric field...
- Keyword:
- collective motion, colloidal particle, and electrorotation
- Subject:
- Applied mathematics and Fluid mechanics
- Creator:
- Hu, Yi
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 10/07/2021
- Date Created:
- 2021-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_839430 and http://dissertations.umi.com/northwestern:15683
-
- Description:
- With neurons as its primary computational components, the brain operates at multiple timescales. In this thesis, we focus on two timescales: on a relatively slow timescale on the order of hours to days, the brain adapts to the environment it is exposed to and learns its circuitry by altering the...
- Keyword:
- Neuronal heterogeneity, Synchronization, Computational neuroscience, Binocular matching, Primary visual cortex , and Gamma rhythm
- Subject:
- Applied mathematics
- Creator:
- Xu, Xize
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 10/07/2021
- Date Created:
- 2021-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_845291 and http://dissertations.umi.com/northwestern:15765
-
- Description:
- We present a biophysical model of GCaMP6f calcium fluorescence in CA1 pyramidal neuron dendrites based upon results from imaging and electrophysiology experiments. This work was completed using experimental results from the laboratory of Professor Daniel Dombeck, Department of Neurobiology. Constraining the model to reproduce different objectives --- from in-vitro and...
- Keyword:
- Calcium Model, Dendritic Spines, Computational Neuroscience, Calcium Imaging, and Synaptic Integration
- Subject:
- Applied mathematics and Neurosciences
- Creator:
- Young, Brita Schneiders
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 06/28/2021
- Date Created:
- 2021-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_819855 and http://dissertations.umi.com/northwestern:15589
-
- Description:
- We present two novel, computational models of biofilm growth within an experimental flow cell. First, we use asymptotic approximations to develop a reduced model that captures the large-scale dynamics within an entire flow cell. The reduced model's predicted growth and nutrient distribution are close to the values predicted by previous...
- Subject:
- Applied mathematics
- Creator:
- Ford, Noah
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/01/2021
- Date Created:
- 2020-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_764364 and http://dissertations.umi.com/northwestern:15266
-
- Description:
- Cells are often precisely organized into patterns within developing tissues. This precision must emerge from biochemical processes within, and between cells, that are inherently stochastic. I investigated the impact of stochastic gene expression on self-organized pattern formation, focusing on Senseless (Sens), a key target of Wnt and Notch signaling during...
- Keyword:
- gene expression, microRNA, cell fate, Drosophila, self-organization, and noise
- Subject:
- Applied mathematics, Statistics, and Developmental biology
- Creator:
- Giri, Ritika
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/01/2021
- Date Created:
- 2020-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_763812 and http://dissertations.umi.com/northwestern:15251
-
- Description:
- Soft matter is the field of science concerning soft and deformable materials: such as liquids, gels, and foams. Active matter is a sub-field of soft matter that considers systems that contain active agents or particles that consume energy for self-propulsion or to exert mechanical stress on the surrounding system. In...
- Keyword:
- Spinners, Models, Dynamics, Soft Matter, Cell Motility, and Active Matter
- Subject:
- Applied mathematics
- Creator:
- Reeves, Cody Jordan
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/01/2021
- Date Created:
- 2020-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_772543 and http://dissertations.umi.com/northwestern:15339
-
- 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:
- There is a rich history on the study of the interplay between symmetry and synchronization in networks. At the most fundamental level, many synchronization patterns are induced by underlying network symmetries. However, when stability is taken into account, the relation between symmetry and synchronization is far from monotonic. In this...
- Keyword:
- complex systems, nonlinear dynamics, networks, chimeras, symmetry, and synchronization
- Subject:
- Applied mathematics, Statistical physics, and Systems science
- Creator:
- Zhang, Yuanzhao
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/01/2021
- Date Created:
- 2020-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_764987 and http://dissertations.umi.com/northwestern:15288
-
- Description:
- A series of theories and models are developed and used to investigate the growth of protective oxide films on metal and alloy surfaces for cases in which Wagner's classical model of oxidation does not hold. First, irreversible thermodynamics is applied to formulate a model for the outward growth of rocksalt...
- Keyword:
- corrosion, mathematical modeling, irreversible thermodynamics, and high temperature oxidation
- Subject:
- Materials Science and Applied mathematics
- Creator:
- Ramanathan, Rohit
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/01/2021
- Date Created:
- 2020-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_757043 and http://dissertations.umi.com/northwestern:15201
-
- Description:
- Histone methylation plays an important role as an epigenetic regulator, capable of driving stable, persistent changes in gene expression without changing a cell's genetic code. Previous work has used stable isotope labeling (SILAC) in combination with mass spectrometry to observe the relationship between the methylation of two neighboring lysine sites...
- Keyword:
- mass spectrometry, histone methylation, epigenetics, weighted least squares, and Markov
- Subject:
- Applied mathematics
- Creator:
- Yungster, Nir
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/01/2021
- Date Created:
- 2020-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_780806 and http://dissertations.umi.com/northwestern:15401
-
- Description:
- Optical fibers utilize nonlinear effects to help transmit soliton or near soliton pulses in a variety of contexts including optical communication systems and fiber lasers. Fiber lasers produce ultra-short pulses, down to a few femtoseconds in duration, via a process called mode-locking where modes of the optical cavity are synchronized...
- Keyword:
- Importance sampling, Rare event simulation, Solitons, and Monte Carlo
- Subject:
- Optics and Applied mathematics
- Creator:
- Sanford, Nathan Len
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/01/2021
- Date Created:
- 2020-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_767150 and http://dissertations.umi.com/northwestern:15308
-
- Description:
- While optimization has received much attention in the machine learning community, most of them consider unconstrained supervised learning models such as neural networks and support vector machine. In this dissertation, we introduce a new class of optimization problems called scale invariant problems that include interesting unsupervised learning models such as...
- Keyword:
- Power Iteration, PCA, Optimization, Machine Learning, Scale Invariance, and KL-NMF
- Subject:
- Applied mathematics and Operations research
- Creator:
- Kim, Cheolmin
- 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:15139 and etdadmin_upload_744178
-
- Description:
- This thesis focuses on applications of recurrent neural networks (RNNs) for three aspects of sequential classification. In the first chapter, a novel method to generate synthetic minority data generation to improve imbalanced classification is discussed. Generative Adversarial Networks (GANs) have been used in many different applications to generate realistic synthetic...
- Keyword:
- Explainability, Recurrent Neural Networks, and Machine Learning
- Subject:
- Applied mathematics
- Creator:
- Ger, Stephanie Kwang-Yu
- 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:15394 and etdadmin_upload_780385
-
- Description:
- The ever growing desire for accurate estimation and efficient learning necessitates the efforts to quantitatively characterize uncertainties for models. In this thesis, four problems pertaining to uncertainty quantification are discussed: A sequential stopping framework of constructing fixed-precision confidence regions is proposed for a class of multivariate simulation problems where variance...
- Keyword:
- Ranking and Selection, Reinforcement Learning, Statistical Learning, Stochastic Gradient Descent, and Uncertainty Quantification
- Subject:
- Applied mathematics, Statistics, and Computer science
- Creator:
- Zhu, Yi
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 01/21/2021
- Date Created:
- 2020-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:15080 and etdadmin_upload_741745
-
- Description:
- Forecasting U.S. elections has been a field of interest for many researchers, with various statistical and mathematical models being proposed. In my research, I analyzed a prior election model, the SIS election model. In this model, a system of differential equations traditionally used in epidemiology to study disease transmission (but...
- Keyword:
- Data science , Mathematical model , Statistical analysis , and US elections
- Subject:
- Applied mathematics and Statistics
- Creator:
- Brian Hsu
- Owner:
- Brian Alan Hsu
- Date Uploaded:
- 09/13/2020
- Date Modified:
- 09/13/2020
- Date Created:
- 2020
- Resource Type:
- Conference Proceeding
-
- Description:
- Forecasting the outcomes of U.S. elections is a relevant and complex task that has been approached in many ways, most commonly incorporating statistics or proprietary methods that include some degree of subjectivity. Our approach differs from this convention in that we use multidisciplinary methods from applied mathematics. Specifically, we use...
- Keyword:
- forecast, US elections, mathematical model, elections, and mathematical modeling
- Subject:
- Applied mathematics
- Creator:
- William He and Christopher Lee
- Owner:
- Scholarly Digital Publishing
- Date Uploaded:
- 06/08/2020
- Date Modified:
- 07/23/2020
- Date Created:
- 2020
- Resource Type:
- Conference Proceeding
-
- Description:
- To survive, animals, including human beings, have developed an amazing ability to learn the constantly changing environment. Specifically, detecting specific odorants in a noisy, variable background is crucial for finding food and water, mating, and avoiding potential dangers. For this purpose, rodents have developed an olfactory system that is powerful...
- Keyword:
- Synchronization, Olfactory Bulb, Neuron, Structural Plasticity, Learning, and Rhythms
- Subject:
- Applied mathematics and Neurosciences
- Creator:
- Meng, Hongyu
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 04/28/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:14966 and etdadmin_upload_713722
-
- Description:
- This dissertation considers a periodically-forced 1-D Langevin equation that possesses two stable periodic solutions in the absence of noise. We aim at answering the question: is there a most likely noise-induced transition path between these periodic solutions that allows one to identify a preferred phase of the forcing when the...
- Subject:
- Applied mathematics
- Creator:
- Chen, Yuxin
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:14754 and etdadmin_upload_677031
-
- Description:
- Many industrial fluid flow problems involve the interaction between heavy, rigid objects and one or more fluid phases. For several decades, there has been a vested interest in simulating these fluid-structure interaction (FSI) problems in order to improve engineering design processes. However, numerical simulations of these problems can be challenging...
- Keyword:
- Aquatic locomotion, Adaptive mesh refinement, Fluid-structure interaction, Multiphase flow, Computational fluid dynamics, and Vehicle aerodynamics
- Subject:
- Applied mathematics, Computational physics, and Fluid mechanics
- Creator:
- Nangia, Nishant
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_637421 and http://dissertations.umi.com/northwestern:14506
-
- Description:
- This dissertation presents two projects with the goal of understanding how to quantitatively describe biological data, particularly data that is highly dynamic. The first study presents an improved quantitative tool for the analysis of particulate trajectories. Particulate trajectory data appears in several different biological contexts, and the majority of analyses...
- Keyword:
- Differential Equations Modeling, Quantitative Biology, Data Driven Methods, Jump Distance Distribution, and C. elegans
- Subject:
- Applied mathematics
- Creator:
- Menssen, Rebecca
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_684514 and http://dissertations.umi.com/northwestern:14797
-
- Description:
- Gene regulatory networks (GRNs) are important abstractions of the complex regulatory interplays between genes, proteins, metabolites, and other molecular-level entities. Comprehensive GRNs provide high-level overviews of the topology of gene-gene interactions and their purposes, thereby enabling a comprehensive understanding of their role in phenotypic variation, disease mechanisms, and other biological...
- Subject:
- Applied mathematics and Bioinformatics
- Creator:
- Nguyen, Phan
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2019-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- http://dissertations.umi.com/northwestern:14495 and etdadmin_upload_634566
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- Description:
- This thesis focuses on the application of neural networks to three types of classification tasks, each work with its own chapter. The objective of the first work is to take advantage of deep neural networks in order to make next day crime count predictions in a fine-grain city partition. We...
- Subject:
- Applied mathematics
- Creator:
- Stec, Alexander Anthony
- Owner:
- Scholarly Digital Publishing
- Language:
- en
- Date Uploaded:
- 02/12/2020
- Date Created:
- 2018-01-01
- Resource Type:
- Dissertation
- Alternate Identifier:
- etdadmin_upload_618137 and http://dissertations.umi.com/northwestern:14412