The Duke University
Mathematical Biology Colloquium
Upcoming Seminars:
- Friday, March 29, 2024, 12:00pm, Physics 119, Mathematical Biology Seminar
Modelling G protein-coupled receptors (GPCRs) compartmentalized signaling
Leo Darrigade (INRAE)
- G protein-coupled receptors (GPCRs) are membrane receptors that play a pivotal role in the regulation of reproduction and behavior in humans. Upon binding to specific ligands, they trigger a local cAMP production. Activated receptor are then internalized to different endosomal compartments where they can continue signaling before being recycled or destroyed. Recent studies showed that the different pools of cAMP have different effect on the cell.
In the first part of the talk, I will present a piecewise deterministic Markov process (PDMP) of intracellular signaling. The stochastic part of the model accounts for formation, coagulation, fragmentation and recycling of intracellular vesicles which contain the receptor, whereas the deterministic part of the model represents evolution of chemical reactions due to signaling activity of the receptor. We are interested in the existence of and convergence to a stationary measure. I will present different cases for which we were able to obtain results in this direction.
In the second part of the talk, I will present the numerical workflow (SBML, PEtab and PyPESTO) we use to fit ODEs model of GPCR signaling to longitudinal measure of chemical concentrations (BRET data).
- Friday, April 5, 2024, 12:00pm, Physics 119, Mathematical Biology Seminar
A Mathematical model exploring the role of inhibitory synaptic plasticity on receptive field refinement during development
Jennifer Crodelle (Middlebury College, Mathematics)
- Communication among neurons in the brain underlies all sensory processing and behavior. The bulk of the structure underlying this communication is constructed during development through activity-dependent plasticity of synapses. Neurons in the primary visual cortex (V1), a region of the brain responsible for processing visual signals, preferentially respond to the orientation angle of the leading edge of a visual stimulus, a property called orientation preference. Underlying the formation of orientation preference during development is the plasticity of synaptic connections between V1 cells, together with feedforward synapses into the visual cortex. Thus far, most experimental and computational investigations have focused on the spike timing-dependent plasticity of synapses between excitatory cells (eSTDP). Spike timing-dependent plasticity of inhibitory synapses (iSTDP) is still being actively researched and several different descriptions of iSTDP across the cortex have arisen. This work uses a biologically-motivated mathematical model to investigate the role of iSTDP in the formation of neuronal circuitries into and within V1. Specifically, we characterize the effect of two different iSTDP descriptions on the formation of feedforward synapses onto a single V1 cell, i.e., on the formation of its orientation preference.
- Friday, April 26, 2024, 12:00pm, Physics 119, Mathematical Biology Seminar
TBA
Samuel Isaacson (Boston University, Mathematics and Statistics)
- TBA
- Friday, September 27, 2024, 12:00pm, Physics 119, Mathematical Biology Seminar
TBA
Mansoor Haider (North Carolina State University, Mathematics)
- TBA
- Friday, October 4, 2024, 12:00pm, Physics 119, Mathematical Biology Seminar
TBA
Jeseth Delgado Vela (Duke University, Civil and Environmental Engineering)
- TBA
- Friday, November 1, 2024, 12:00pm, Physics 119, Mathematical Biology Seminar
TBA
Dominic LaBella and Christina Huang (Duke University School of Medicine, Radiation Oncology)
- TBA
Lunch after the talk with the speaker for interested participants.
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