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Math @ Duke
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Mainak Patel, Visiting Assistant Professor
- Contact Info:
| Office Location: | Mathematics 114 | | Office Phone: | (919) 660-6979 | | Email Address: |   | - Office Hours:
- Monday 4-5pm
Thursday 4:15-5:15pm
- Education:
| PhD | New York University, Courant Institute for Mathematical Sciences | 2011 |
| MD | New York University School of Medicine | 2011 |
- Specialties:
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Applied Math
- Research Interests: Mathematical Biology
Current projects:
dynamics of stimulus selection in the owl optic tectum
The barn owl is exquisitely adapted to be able to accurately pinpoint the spatial location of salient sensory stimuli, and the midbrain isthmotectal circuit is thought to be the major contributor to this remarkable ability. A key player within this circuit is the optic tectum (OT), which receives a topographic map of visual space through direct retinal projections as well as an ordered map of auditory localization cues from the inferior colliculus (IC). A precise alignment of visual and auditory maps exists within the OT, so that a tectal neuron is driven most effectively by salient stimuli within a restricted region of space, independent of sensory modality (with multimodal stimuli actually being the most effective).
The activity of tectal neurons therefore faithfully encodes the spatial location of a stimulus. Moreover, concurrent stimuli at disparate regions of space compete for representation within the OT, and isthmotectal circuit activity leads to the emergence of a dominant stimulus; activity in the OT map is diminished at the location of the defeated stimulus and sustained at the location of the selected stimulus. Thus, the isthmotectal circuit not only functions in precise spatial localization but also aids in the selection of the next stimulus to capture the owl’s attention and gaze. This circuit provides fertile ground for mathematical modeling, and the aim of the project is to elucidate network mechanisms underlying observed physiological behavior and to put forth novel hypotheses about the system.
- Areas of Interest:
- computational neuroscience
mathematical biology insect olfactory networks stimulus selection in the owl optic tectum spike timing precision in the auditory system
- Recent Publications
(search)
- M. Patel, A.V. Rangan, D. Cai, A large-scale model of the locust antennal lobe,
Journal of Computational Neuroscience, vol. 27 no. 3
(2009),
pp. 553-567 [19548077] [abs]
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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