This talk will set the scene for those which follow in the Mathematical Ophthalmology minisymposium. I will begin by defining what we mean by the terms Mathematical Ophthalmology (a new term which I have coined) and Computational Ophthalmology (an existing term) and how these fields relate both to each other and to more established experimental and clinical disciplines. I shall give a brief history of these emerging fields, highlighting key case studies, and discuss their future prospects. I will also be announcing and inviting participation in a number of exciting opportunities and initiatives aimed at promoting these fields and supporting those working within them.

# Mathematical Neuroscience Subgroup (NEUR)

**Ad hoc subgroup meeting room(reserved for subgroup activities)**:

Barbie Tootle Room in The Ohio Union

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# Sub-group minisymposia

##### MS01-NEUR-1:

Mathematical Ophthalmology

**Organized by:** Paul A. Roberts, Jessica Crawshaw

Note: this minisymposia has multiple sessions. The other session is **MS02-NEUR-1**.

**Paul A. Roberts***University of Birmingham (Centre for Systems Modelling and Quantitative Biomedicine)*

"Mathematical and Computational Ophthalmology: Coming of Age"**Brendan C. Fry***Metropolitan State University of Denver (Department of Mathematics and Statistics)*

"Modeling metabolic blood flow regulation and oxygenation in the human retinal microcirculation"**Julia Arciero***Indiana University - Purdue University Indianapolis (Mathematical Sciences)*

"Predicting the impact of capillary density on retinal vessel and tissue oxygenation using a theoretical model"**Remi Hernandez***University of Liverpool (Department of Cardiovascular and Metabolic Medicine)*

"Virtual populations of the retina to characterize hypoxia in wet AMD"

##### MS02-NEUR-1:

Mathematical Ophthalmology

**Organized by:** Paul A. Roberts, Jessica Crawshaw

Note: this minisymposia has multiple sessions. The other session is **MS01-NEUR-1**.

**Jessica Crawshaw***University of Oxford (Mathematical Institute)*

"The role of hierarchical Bayesian inference in understanding macular degeneration treatment strategies"**Moussa A. Zouache***University of Utah (John A. Moran Eye Center, Department of Ophthalmology & Visual Sciences)*

"Predicting Physiology from Structure in the Human Choriocapillaris"**Richard Braun***University of Delaware (Department of Mathematical Sciences)*

"Semi-automated Tear Breakup Detection and Modeling on the Ocular Surface"

##### MS06-NEUR-1:

Uncovering activity patterns, oscillations and other key dynamics of neuronal (and other) networks

**Organized by:** Cheng Ly, Janet Best, Pamela Pyzza, Yangyang Wang

Note: this minisymposia has multiple sessions. The other session is **MS07-NEUR-1**.

**Krasimira Tsaneva-Atanasova***University of Exeter (Mathematics and Statistics)*

"Mathematical modelling of GnRH pulse generator frequency modulation through the interaction between kisspeptin and GABA-glutamate in the posterodorsal medial amygdala"**Andrea K. Barreiro***Southern Methodist University (Mathematics)*

"Fluid dynamics as a driver of retronasal olfaction"**Madeline Edwards***University of Pittsburgh (Department of Neuroscience)*

"Exploring the Roles of Interneuron Subtypes in Network Dynamics"**Andrea Welsh***University of Pittsburgh (Department of Mathematics)*

"Modeling Mouse Colon Non-propulsion Dynamics"

##### MS07-NEUR-1:

Uncovering activity patterns, oscillations and other key dynamics of neuronal (and other) networks

**Organized by:** Cheng Ly, Janet Best, Pamela Pyzza, Yangyang Wang

Note: this minisymposia has multiple sessions. The other session is **MS06-NEUR-1**.

**Ngoc Anh Phan***University of Iowa (Department of Mathematics)*

"Robustness of mixed mode oscillations and mixed mode bursting oscillations in three-timescale neuronal systems."**Sushmita John***University of Pittsburgh (Mathematics)*

"Slow negative feedback enhances robustness of square-wave bursting"**Victoria Booth***University of Michigan (Mathematics)*

"Neural rhythms generated by spatially heterogeneous neuromodulation"**Fernando Antoneli***Universidade Federal de Sao Paulo (Centro de Bioinformatica Medica)*

"Network Dynamics: Theory and Examples"

##### MS07-NEUR-2:

Biological Networks Across Scales

**Organized by:** Richard Bertram

**Wilfredo Blanco Figuerola***State University of Rio Grande do Norte (Department of Computer Science)*

"Population Bursting in Modular Neural Networks"**Mehran Fazli***Henry M. Jackson Foundation for the Advancement of Military > Medicine, Inc., Bethesda, MD, USA (Austere Environments Consortium for Enhanced Sepsis Outcomes (ACESO))*

"Gene bundling: a new approach to clustering and reversed engineering of gene expression network"**Bhargav Karamched***Florida State University (Mathematics)*

"How do Heterogeneity and Correlated Information Affect Decision-Making in Social Networks?"**Brad Peercy***University of Maryland, Baltimore County (UMBC) (Mathematics and Statistics)*

"Loss of Synchrony to Silencing in Networks of Excitable Cells: Impact of Cell and Coupling Heterogeneity in Small Network Examples"

# Sub-group contributed talks

##### CT02-NEUR-1:

NEUR Subgroup Contributed Talks

**Allison Cruikshank***Duke University*

"Dynamical Questions in Volume Transmission"**Gurpreet Jagdev***Toronto Metropolitan University*

"The interplay between asymmetric noise and uneven coupling of two coupled neuronal oscillators"**Marina Chugunova***University of Waterloo, Canada*

"Modelling duality of the exocytosis initiation in GnRH neurons"**Zhuo-Cheng Xiao***New York University*

"Efficient models of the cortex via coarse-grained interactions and local response functions"

##### CT03-NEUR-1:

NEUR Subgroup Contributed Talks

**Amy Cochran***University of Wisconsin Madison*

"Multidimensionality in reinforcement learning models of human decision-making"**Seokjoo Chae***KAIST*

"Spatially coordinated collective phosphorylation filters spatiotemporal noises for precise circadian timekeeping"**Shaharina Shoha***Western Kentucky University*

"A Comparison of Computational Perfusion Imaging Techniques."**Iulia Martina Bulai***University of Sassari*

"Wavelet packets and graph neuronal signal processing"

# Sub-group poster presentations

##### NEUR Posters

**NEUR-01**

**Meaghan Parks**

*Case Western Reserve University*

Poster ID: NEUR-01 (Session: PS01)

"Stochastic Model of Alzheimer’s Disease Progression Using Two-State Markov Chains"

**NEUR-01**

**Cheng Ly**

*Virginia Commonwealth University*

Poster ID: NEUR-01 (Session: PS02)

"Odor modality is transmitted to higher brain regions from the olfactory bulb"