Mathematical Sciences
Mathematical research at MSU is focused primarily on related topics in pure and applied mathematics. Research programs complement each other and are often applied to problems in science and engineering. Research in statistics encompasses a broad range of theoretical and applied topics. Because the statisticians are actively engaged in interdisciplinary work, much of the statistical research is directed toward practical problems. Mathematics education faculty are active in both qualitative and quantitative experimental research areas. These include teacher preparation, coaching and mentoring for in-service teachers, online learning and curriculum development.
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Recent Submissions
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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 ... -
Modeling Transport Regulation in Gene Regulatory Networks
(Springer Science and Business Media LLC, 2022-07)A gene regulatory network summarizes the interactions between a set of genes and regulatory gene products. These interactions include transcriptional regulation, protein activity regulation, and regulation of the transport ... -
Statistical assessment on determining local presence of rare bat species
(Wiley, 2022-06)Surveying cryptic, sparsely distributed taxa using autonomous recording units,although cost-effective, provides imperfect knowledge about species presence.Summertime bat acoustic surveys in North America exemplify the ... -
Imaging and plate counting to quantify the effect of an antimicrobial: A case study of a photo‐activated chlorine dioxide treatment
(Wiley, 2022-09)Aim. To assess removal versus kill efficacies of antimicrobial treatments against thick biofilms with statistical confidence. Methods and results. A photo-activated chlorine dioxide treatment (Photo ClO2) was tested in two ... -
Improved quantitative unique continuation for complex-valued drift equations in the plane
(Walter de Gruyter GmbH, 2022-11)In this article, we investigate the quantitative unique continuation properties of complex-valued solutions to drift equations in the plane. We consider equations of the form Δu+W⋅∇u=0 in R2 , where W=W1+iW2 with each Wj ... -
Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
(MyJove Corporation, 2021-12)Developing gene regulatory network models is a major challenge in systems biology. Several computational tools and pipelines have been developed to tackle this challenge, including the newly developed Inherent Dynamics ... -
Joint realizability of monotone Boolean functions
(Elsevier BV, 2022-06)The study of monotone Boolean functions (MBFs) has a long history. We explore a connection between MBFs and ordinary differential equation (ODE) models of gene regulation, and, in particular, a problem of the realization ... -
Coupling validation effort with in situ bioacoustic data improves estimating relative activity and occupancy for multiple species with cross‐species misclassifications
(Wiley, 2022-03)The increasing complexity and pace of ecological change requires natural resource managers to consider entire species assemblages. Acoustic recording units (ARUs) require minimal cost and effort to deploy and inform relative ... -
Operon dynamics with state dependent transcription and/or translation delays
(Springer Science and Business Media LLC, 2022-01)Transcription and translation retrieve and operationalize gene encoded information in cells. These processes are not instantaneous and incur significant delays. In this paper we study Goodwin models of both inducible and ... -
Performance of a Genetic Algorithm for Estimating DeGroot Opinion Diffusion Model Parameters for Health Behavior Interventions
(MDPI AG, 2021-12)Leveraging social influence is an increasingly common strategy to change population behavior or acceptance of public health policies and interventions; however, assessing the effectiveness of these social network interventions ...
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