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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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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