A seminar to give anyone interested in mathematical biology research the opportunity to get engaged with the literature. Each week, one member will lead an informal group discussion on an interesting paper of their choice.

]]>**Speaker:** Alexander Rolle (TU Graz - Austria)

**Speaker:** Reza Ramezan (University of Waterloo)

**Title:** Bridging the Gap : Statistics, Neuroscience, and Spike Trains

**Abstract:** A scientific model is a conceptual/physical representation of a phenomenon while a statistical model is a probabilistic object which is usually derived based on the collected data from a phenomenon. While the adage “all models are wrong but some are useful’’ applies, it is still possible to combine the two approaches to improve model performance and model justification. This talk explains why it is important to do so, and introduces the Skellam Process with Resetting (SPR): a simple yet powerful and flexible model for neural spike trains which is biologically justified. Within a point-process framework, the SPR model is motivated by neural integration: a biological process through which nerve cells combine the information they receive from other nerve cells. It will be shown that certain parametrizations of the SPR result in popular models for inter-spike intervals (inter-arrival times) such as Gamma, Inverse Gaussian, etc. Most importantly, SPR has a flexible multivariate generalization for the analysis of simultaneously recorded spike trains and population coding. The model strengths and weaknesses will be highlighted through real data analysis and simulations.

**Speaker:** Caterina Consani (Johns Hopkins University)

**Title:** On absolute geometry

**Abstract:** I will present some recent constructions aiming to define the notion of the absolute geometric point and the universal arithmetic over it (joint with A. Connes).

**Speaker:** Sergio Ceballos (Western University)

**Title:** Average behavior of the p-torsion of Jacobian groups in families of graphs

**Abstract:** The Jacobian group of a graph can be thought as a discrete analogue of the Jacobian of a Riemann Surface. We know very little about the structure of this group. In this talk, I will present some results concerning the distribution of Jacobian groups with nontrivial p-torsion in certain families of graphs.

**Speaker:** Christin Bibby (Louisiana State University)

**Title:** TBA

A seminar to give anyone interested in mathematical biology research the opportunity to get engaged with the literature. Each week, one member will lead an informal group discussion on an interesting paper of their choice.

]]>**Speaker:** Katharine Adamyk (Western University)

**Speaker: **Vianey Leos Barajas (University of Toronto)

**Title:** Spatially-coupled hidden Markov models for short-term wind speed forecasting

**Abstract:** Using wind speed time series data collected from meteorological stations, we will show how to use hidden Markov models to describe the multiple patterns we see in the data over time. We will also show how to extend this model to show that locations close to one another are likely to exhibit similar patterns over time.

A seminar to give anyone interested in mathematical biology research the opportunity to get engaged with the literature. Each week, one member will lead an informal group discussion on an interesting paper of their choice.

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