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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  • Statistical methods for detecting groups of patterns in daily step count activity profiles 

    Meyer, Elijah S.; Tran, Tan; Greenwood, Mark (2016)
    The growth of wearable technology is apparent. A total of 2.7 million wearable bands were shipped worldwide in the first quarter of 2014 (Sullivan, 2014). Of this number, Fitbit, a company focused on developing and ...
  • A simple respirogram-based approach for the management of effluent from an activated sludge system 

    Li, Zhi-Hua; Zhu, Yuan-Mo; Yang, Cheng-Jian; Zhang, Tian-Yu; Yu, Han-Qing (2018-08)
    Managing wastewater treatment plant (WWTP) based on respirometric analysis is a new and promising field. In this study, a multi-dimensional respirogram space was constructed, and an important index Res/t (ratio of in-situ ...
  • Advising caution in studying seasonal oscillations in crime rates 

    Dong, Kun; Yunbai, Cao; Wilber, Matthew; McCalla, Scott G. (2017-09)
    Most types of crime are known to exhibit seasonal oscillations, yet the annual variations in the amplitude of this seasonality and their causes are still uncertain. Using a large collection of data from the Houston and Los ...
  • Defining Program Effects: A Distribution-Based Perspective 

    Green, Jennifer L.; Stroup, Walter W.; Fellers, Pamela S. (2017-08)
    In an age of accountability, it is critical to define and estimate the effects of teacher education and professional development programs on student learning in ways that allow stakeholders to explore potential reasons for ...
  • Prokaryotes in the WAIS Divide ice core reflect source and transport changes between Last Glacial Maximum and the early Holocene 

    Santibanez, Pamela A.; Masell, Olivia J.; Greenwood, Mark C.; Grieman, Mackenzie M.; Saltzman, Eric S.; McConnell, Joseph R; Priscu, John C. (2018-05)
    We present the first long-term, highly resolved prokaryotic cell concentration record obtained from a polar ice core. This record, obtained from the West Antarctic Ice Sheet (WAIS) Divide (WD) ice core, spanned from the ...
  • Global dynamics for switching systems and their extensions by linear differential equations 

    Huttinga, Zane; Cummins, Bree; Gedeon, Tomáš; Mischaikow, Konstantin (2018-11)
    Switching systems use piecewise constant nonlinearities to model gene regulatory networks. This choice provides advantages in the analysis of behavior and allows the global description of dynamics in terms of Morse graphs ...
  • Authors and editors assort on gender and geography in high-rank ecological publications 

    Manlove, Kezia R.; Belou, Rebecca M. (2018-02)
    Peer-reviewed publication volume and caliber are widely-recognized proxies for academic merit, and a strong publication record is essential for academic success and advancement. However, recent work suggests that publication ...
  • Meta-analysis of the Age-Dependent Efficacy of Multiple Sclerosis Treatments 

    Weideman, Ann Marie; Tapia-Maltos, Marco Aurelio; Johnson, Kory; Greenwood, Mark; Bielekova, Bibiana (2017-11)
    Objective: To perform a meta-analysis of randomized, blinded, multiple sclerosis (MS) clinical trials, to test the hypothesis that efficacy of immunomodulatory disease-modifying therapies (DMTs) on MS disability progression ...
  • New Multiple Sclerosis Disease Severity Scale Predicts Future Accumulation of Disability 

    Weidman, Ann Marie; Barbour, Christopher; Tapia-Maltos, Marco Aurelio; Tran, Tan; Jackson, Kayla; Kosa, Peter; Komori, Mika; Wichman, Alison; Johnson, Kory; Greenwood, Mark; Bielekova, Bibiana (2017-11)
    The search for the genetic foundation of multiple sclerosis (MS) severity remains elusive. It is, in fact, controversial whether MS severity is a stable feature that predicts future disability progression. If MS severity ...
  • Surface micropattern reduces colonization and medical device-associated infections 

    Xu, Binjie; Wei, Qiuhua; Mettetal, M. Ryan; Han, Jie; Rau, Lindsey; Tie, Jinfeng; May, Rhea M.; Pathe, Eric T.; Reddy, Shravanthi T.; Sullivan, Lauren; Parker, Albert E.; Maul, Donald H.; Brennan, Anthony B.; Mann, Ethan E. (2017-11)
    PURPOSE: Surface microtopography offers a promising approach for infection control. The goal of this study was to provide evidence that micropatterned surfaces significantly reduce the potential risk of medical device-associated ...
  • Modelling radicalization: how small violent fringe sects develop into large indoctrinated societies 

    Short, Martin B.; McCalla, Scott G.; D'Orsogna, Maria R. (2017-08)
    We model radicalization in a society consisting of two competing religious, ethnic or political groups. Each of the \'sects\' is divided into moderate and radical factions, with intra-group transitions occurring either ...
  • Batalin-Vilkovisky quantization and the algebraic index 

    Grady, Ryan E.; Li, Qin; Li, Si (2017-09)
    Into a geometric setting, we import the physical interpretation of index theorems via semi-classical analysis in topological quantum field theory. We develop a direct relationship between Fedosov's deformation quantization ...
  • Accelerated Gibbs sampling of normal distributions using matrix splittings and polynomials 

    Fox, Colin; Parker, Albert E. (2017-11)
    Standard Gibbs sampling applied to a multivariate normal distribution with a specified precision matrix is equivalent in fundamental ways to the Gauss Seidel iterative solution of linear equations in the precision matrix. ...
  • The effects of interleukin-2 on immune response regulation 

    Waters, Ryan S.; Perry, Justin S. A.; Han, SunPil; Bielekova, Bibiana; Gedeon, Tomáš (2017-02)
    The immune system has many adaptive and dynamic components that are regulated to ensure appropriate, precise and rapid response to a foreign pathogen. A delayed or inadequate immune response can lead to prolonged disease, ...
  • Global Dynamics for Steep Nonlinearities in Two Dimensions 

    Gedeon, Tomáš; Harker, Shaun; Kokubu, Hiroshi; Mischaikow, Konstanin; Oka, Hiroe (2017-01)
    This paper discusses a novel approach to obtaining mathematically rigorous results on the global dynamics of ordinary differential equations. We study switching models of regulatory networks. To each switching network we ...
  • Bioenergy and Breast Cancer: A report on tumor growth and metastasis 

    Running, Alice; Greenwood, Mark; Hildreth, Laura; Schmidt, Jade (2016)
    As many as 80% of the 296,000 women and 2,240 men diagnosed with breast cancer in the United States will seek out complementary and alternative medicine (CAM) treatments. One such therapy is Healing Touch (HT), recognized ...
  • A Mechanistic Model for Cooperative Behavior of Co-transcribing RNA Polymerases 

    Davis, Lisa; Gedeon, Tomáš; Heberling, Tamra; Gedeon, Jakub; Morgan, Charles (2016-08)
    In fast-transcribing prokaryotic genes, such as an rrn gene in Escherichia coli, many RNA polymerases (RNAPs) transcribe the DNA simultaneously. Active elongation of RNAPs is often interrupted by pauses, which has been ...
  • On the intrinsic dimensionality of chemical structure space 

    Veith, D.; Greenwood, B.; Hunter, R. S.; Niemi, G. J.; Regal, R. R. (1988-01)
    An important expectation in chemistry and pharmacology is that similar chemical structures have similar properties and behavior. New industrial chemicals, pesticides, and therapeutics are often sublte modifications of ...
  • Considerations for assessing model averaging of regression coefficients 

    Banner, Katharine Michelle; Higgs, Megan D. (2016-08)
    "Model choice is usually an inevitable source of uncertainty in model-based statistical analyses. While the focus of model choice was traditionally on methods for choosing a single model, methods to formally account for ...
  • Micropatterned Endotracheal Tubes Reduce Secretion-Related Lumen Occlusion 

    Mann, Ethan E.; Magin, Chelsea M.; Mettetal, M. Ryan; May, Rhea M.; Henry, MiKayla M.; DeLoid, Heather; Prater, Justin; Sullivan, Lauren; Thomas, John G.; Twite, Mark D.; Parker, Albert E.; Brennan, Anthony B.; Reddy, Shravanthi T. (2016-12)
    Tracheal intubation disrupts physiological homeostasis of secretion production and clearance, resulting in secretion accumulation within endotracheal tubes (ETTs). Novel in vitro and in vivo models were developed to ...

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