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Parameter Classification and Analysis of Neuronal Systems with Astrocytic Modulation of Behaviour

Lumpkin, Robert
http://rave.ohiolink.edu/etdc/view?acc_num=osu1563206513875333

Abstract Details

2019, Master of Mathematical Sciences, Ohio State University, Mathematical Sciences.
In this paper, we examine the dynamics of neuronal systems with astrocytes. We use standard conventions for modeling such systems and, use XPP to observe and classify their behaviour according to model parameters. We begin with a short introduction to the biological foundations of neuroscience and to the field of mathematical neuroscience in particular. Then, we move to studying specific models, beginning with a simple system composed of two inhibitory neurons and a population of astrocytes. We use so-called fast/slow analysis and a one-dimensional map to do study the impact of gap-junctional coupling among astrocytes in modulating neuronal firing patterns. Next, we consider a model composed of two excitatory and two inhibitory neurons along with a population of astrocytes. We classify the overall model behaviour and additionally the behaviour of post-inhibitroy rebound, in particular. Next, we consider a model of ten excitatory neurons, ten inhibitory neurons, and a population of astrocytes. Finally, we briefly discuss potential future work.
David Terman (Advisor)
Eben Kenah (Committee Member)
65 p.
Biology; Mathematics; Neurobiology; Neurosciences
biology; mathematics; mathematical biology; neuroscience; biosciences; astrocyte; neuron

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Citations

  • Lumpkin, R. (2019). Parameter Classification and Analysis of Neuronal Systems with Astrocytic Modulation of Behaviour [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1563206513875333

    APA Style (7th edition)

  • Lumpkin, Robert. Parameter Classification and Analysis of Neuronal Systems with Astrocytic Modulation of Behaviour. 2019. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1563206513875333.

    MLA Style (8th edition)

  • Lumpkin, Robert. "Parameter Classification and Analysis of Neuronal Systems with Astrocytic Modulation of Behaviour." Master's thesis, Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1563206513875333

    Chicago Manual of Style (17th edition)

osu1563206513875333
135
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This open access ETD is published by The Ohio State University and OhioLINK.