Material Information
- Title:
- FLUCTUATIONS OF THE BETA RHYTHM: MATHEMATICAL MODELING AND PERIODIC FORCING OF A CORTICAL MICROCIRCUIT
- Physical Description:
- Book
- Language:
- English
- Creator:
- Leone, Michael
- Publisher:
- New College of Florida
- Place of Publication:
- Sarasota, Fla.
- Publication Date:
- 2014
Thesis/Dissertation Information
- Degree:
- Bachelor's ( B.A.)
- Degree Grantor:
- New College of Florida
- Degree Divisions:
- Natural Sciences
- Area of Concentration:
- Mathematics
Subjects
- Genre:
- Electronic Thesis or Dissertation
bibliography ( marcgt )
theses ( marcgt )
Notes
- Abstract:
- A network of neurons is, in many aspects, a coupled system of nonlinear oscillators. We adopt this interpretation for the purpose of mathematically modeling a beta-rhythmic, Layer 5 cortical microcircuit which supports selective attention through interlaminar interaction (28). We assume that the foundation of the beta rhythm is the interaction between the intrinsic bursting pyramidal neuron and the low-threshold spike interneuron, where the period of the rhythm is determined by the period of the M-current inherent to both neuron types. We test the robustness of oscillations and circuit response to periodic forcing in the (5-20 Hz) range. Differences between synaptic and gap junction coupling are explored in the context of the synchrony state. Simulations demonstrate that intrinsic bursting neurons respond to coupling
with inhibition-boosted ring. The effects of excitatory forcing depend on the relative frequencies of the forcing current and the network: oscillation coherence may either be weakened, preserved, or strengthened, and in a variety of cases, neuron clustering is induced. We also find that for larger networks with sparse connectivity, gap junction coupling between intrinsic bursting neurons is necessary for a coherent rhythm.
- Thesis:
- Thesis (B.A.) -- New College of Florida, 2014
- General Note:
- Accompanying materials: CD containing source code.
- General Note:
- RESTRICTED TO NCF STUDENTS, STAFF, FACULTY, AND ON-CAMPUS USE
- Bibliography:
- Includes bibliographical references.
- General Note:
- This bibliographic record is available under the Creative Commons CC0 public domain dedication. The New College of Florida Libraries, as creator of this bibliographic record, has waived all rights to it worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
- General Note:
- Faculty Sponsor: McDonald, Patrick
- Statement of Responsibility:
- by Michael Leone
Record Information
- Source Institution:
- New College of Florida
- Holding Location:
- New College of Florida
- Rights Management:
- Applicable rights reserved.
- Resource Identifier:
- Classification:
- S.T. 2014 L46
- System ID:
- AA00024696:00001
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