Scholarly Work - Mathematical Sciences
Recent Submissions
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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
(The Royal Society, 2023-07)Particle dynamics and multi-agent systems provide accurate dynamical models for studying and forecasting the behaviour of complex interacting systems. They often take the form of a high-dimensional system of differential ... -
Estimating contact network properties by integrating multiple data sources associated with infectious diseases
(Wiley, 2023-07)To effectively mitigate the spread of communicable diseases, it is necessary to understand the interactions that enable disease transmission among individuals in a population; we refer to the set of these interactions as ... -
Resource allocation accounts for the large variability of rate-yield phenotypes across bacterial strains
(eLife Sciences Publications, Ltd, 2023-05)Different strains of a microorganism growing in the same environment display a wide variety of growth rates and growth yields. We developed a coarse-grained model to test the hypothesis that different resource allocation ... -
Adversary decision-making using Markov models
(SPIE, 2023-06)This study conducts three experiments on adversary decision-making modeled as a graph. Each experiment has the overall goal to understand how to exploit an adversary’s decision-making in order to obtain desired outcomes, ... -
Numerical analysis of a time filtered scheme for a linear hyperbolic equation inspired by DNA transcription modeling
(Elsevier BV, 2023-09)The focus of this paper is the development and analysis of a time filtering process for a linear hyperbolic equation motivated by the modeling of the transcription of ribosomal RNA in bacteria Davis et al. (2021). We ... -
The integrated nested Laplace approximation applied to spatial log-Gaussian Cox process models
(Informa UK Limited, 2023-04)Spatial point process models are theoretically useful for mapping discrete events, such as plant or animal presence, across space; however, the computational complexity of fitting these models is often a barrier to their ... -
The Jordan–Chevalley decomposition for 𝐺-bundles on elliptic curves
(American Mathematical Society, 2022-12)We study the moduli stack of degree $0$ semistable $G$-bundles on an irreducible curve $E$ of arithmetic genus $1$, where $G$ is a connected reductive group in arbitrary characteristic. Our main result describes a partition ... -
Combining Dynamic Bayesian Networks and Continuous Time Bayesian Networks for Diagnostic and Prognostic Modeling
(IEEE, 2022-08)The problem of performing general prognostics and health management, especially in electronic systems, continues to present significant challenges. The low availability of failure data, makes learning generalized models ... -
Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation
(Society for Industrial & Applied Mathematics, 2022-09)Understanding how the structure of within-system interactions affects the dynamics of the system is important in many areas of science. We extend a network dynamics modeling platform DSGRN, which combinatorializes both ... -
Quantifying the role of airborne transmission in the spread of COVID-19
(American Institute of Mathematical Sciences, 2022-01)There is an ongoing debate on the different transmission modes of SARS-CoV-2 and their relative contributions to the pandemic. In this paper, we employ a simple mathematical model, which incorporates both the human-to-human ... -
Encountering ideas about teaching and learning mathematics in undergraduate mathematics courses
(Springer Science and Business Media LLC, 2023-01)We study the ideas about teaching and learning mathematics that undergraduate students generate when they encounter tasks designed to embed approximations of teaching practice in mathematics courses taken by a general ... -
Extremal event graphs: A (stable) tool for analyzing noisy time series data
(American Institute of Mathematical Sciences, 2023-01)Local maxima and minima, or extremal events, in experimental time series can be used as a coarse summary to characterize data. However, the discrete sampling in recording experimental measurements suggests uncertainty on ... -
Mapping the number of female sex workers in countries across sub-Saharan Africa
(Proceedings of the National Academy of Sciences, 2023-01)Female sex workers (FSW) are affected by individual, network, and structural risks, making them vulnerable to poor health and well-being. HIV prevention strategies and local community-based programs can rely on estimates ... -
The finiteness conjecture for skein modules
(Springer Science and Business Media LLC, 2022-12)We give a new, algebraically computable formula for skein modules of closed 3-manifolds via Heegaard splittings. As an application, we prove that skein modules of closed 3-manifolds are finite-dimensional, resolving in the ... -
A Correlated Network Scale-up Model: Finding the Connection Between Subpopulations
(Informa UK Limited, 2023-01)Aggregated relational data (ARD), formed from “How many X’s do you know?” questions, is a powerful tool for learning important network characteristics with incomplete network data. Compared to traditional survey methods, ... -
Pathogen spillover driven by rapid changes in bat ecology
(Springer Science and Business Media LLC, 2023-01)During recent decades, pathogens that originated in bats have become an increasing public health concern. A major challenge is to identify how those pathogens spill over into human populations to generate a pandemic threat1. ... -
Experimental guidance for discovering genetic networks through hypothesis reduction on time series
(Public Library of Science, 2022-10)Large programs of dynamic gene expression, like cell cyles and circadian rhythms, are controlled by a relatively small “core” network of transcription factors and post-translational modifiers, working in concerted mutual ... -
Highly-automated, high-throughput replication of yeast-based logic circuit design assessments
(Oxford University Press, 2022-02)We describe an experimental campaign that replicated the performance assessment of logic gates engineered into cells of Saccharomyces cerevisiae by Gander et al. Our experimental campaign used a novel high-throughput ... -
The Effect of Teammate Personality on Team Production
(Elsevier, 2022-10)Many goods and services are produced in teams. We explore how teammate personality traits impact productivity on joint team tasks. Studying student teams at a large university and considering the “Big Five” personality ... -
Trait emotional intelligence in American pilots
(Springer Nature, 2022-09)There is a dearth of trait emotional intelligence (trait EI) research within an aviation context. Using the Trait Emotional Intelligence Questionnaire (TEIQue), the present study investigated potential trait EI differences ...
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