Epidermal wound closure is a complex process involving the coordination of many mechanisms across multiple spatial scales. In this work we use cell-based modelling to investigate wound closure mechanisms acting on whole-wound and localised scales. We begin by exploring spatial effects on wound closure - specifically tissue compression due to cell division events and individual cellular compression. We then consider two key wound healing mechanisms: purse-string closure and cell crawling. The purse-string mechanism involves contraction of the acto-myosin cables in cells adjacent to the wound edge whereas the cell crawling mechanism describes active cellular migration due to lamellipodial protrusions. Previous cell-based models of wound healing have attempted to describe the purse-string mechanism at a cellular level scale. However, it has been established that purse-string behaviour occurs on a whole-wound scale. In particular, an actomyosin cable forms around the entire wound edge and contracts ‘globally’ during closure. In this work, we formulate a wound-scale model for purse-string closure and compare it to a locally acting model. Finally, we propose two models for cell crawling: one where cells respond to their local environment and another in which cells actively migrate in response to a global cue. We compare the two models and discuss the relative benefits of each. We conclude by summarising the overall differences between globally and locally acting mechanisms and propose more realistic extensions of each model.

# Contributed talk session: CT03

#### Thursday, July 20 at 2:30pm

# Contributed talk session: CT03

##### CT03-CDEV-1:

CDEV Subgroup Contributed Talks

**Adriana Zanca***The University of Melbourne*

"Comparison of locally and globally acting wound closure mechanisms"**Gordon R. McNicol***University of Glasgow*

"A one-dimensional continuum model for focal adhesion and ventral stress fibre formation"**Kaiyun Guan***University of North Carolina at Chapel Hill*

"How do yeast regulate polarity behavior to ensure successful mating?"**Sharon B. Minsuk***Indiana University, Bloomington*

"Modeling the Mechanical Forces Driving Epithelial Morphogenesis and Cell Rearrangement during Zebrafish Epiboly"

##### CT03-ECOP-1:

ECOP Subgroup Contributed Talks

**Anastasios Stefanou***Institute for Algebra, Geometry, Topology and their Applications, University of Bremen*

"Topological Data Analysis and Phylogenetics"**Kristina Wicke***New Jersey Institute of Technology*

"Exploring spaces of semi-directed phylogenetic networks"**Sarah Bogen***Utah State University*

"A trait-based modeling approach to estimate global movement potential for plant populations in a warming planet"

##### CT03-IMMU-1:

IMMU Subgroup Contributed Talks

**Daniel B Reeves***Fred Hutchinson Cancer Center*

"Modeling antibody mediated prevention of HIV to derive in vivo potency of VRC01"**David W. Dick***York University*

"HIV-1 neutralization potential of red blood cells viral traps"**Katherine Owens***Fred Hutchinson Cancer Center*

"Heterogeneous SARS-CoV-2 kinetics and in vitro overestimates of nirmatrelvir potency in humans"**Mohammad Aminul Islam***University at Buffalo, The State University of New York, Buffalo, NY*

"Mathematical Modeling of Impacts of Patient Differences on COVID-19 Lung Fibrosis Outcomes"

##### CT03-MEPI-1:

MEPI Subgroup Contributed Talks

**Alexander Dolnick Meyer***University of Notre Dame*

"Risk and size of Aedes-borne disease outbreaks are poorly predicted by climate-based suitability indices"**Arash Arjmand***University of Missouri Kansas City*

"Incorporating Biosecurity Adherence into a Modeling Framework to Analyze Dynamics of Antimicrobial Resistance in Cattle Farms"**Aurod Ounsinegad***Tarleton State University*

"Dynamics of Eastern Equine Encephalitis Infection Rates: A Mathematical Approach"**Cormac LaPrete***University of Utah*

"Characterizing spatiotemporal variation in transmission heterogeneity during the 2022 Mpox outbreak in the USA"

##### CT03-MFBM-1:

MFBM Subgroup Contributed Talks

**Hyeontae Jo***Institute for Basic Science (IBS)*

"Density Physics-Informed Neural Network infers an arbitrary density distribution for non-Markovian system"**Luigi Frunzo***University of Naples Federico II*

"Mathematical modelling of phototrophic-heterotrophic biofilm system"**Samantha Linn***University of Utah*

"First passage times under frequent stochastic resetting"**Silvia Berra***University of Genova, Italy*

"Drug dosage in cancer: a mathematical approach for computing steady states of chemical reaction networks"

##### CT03-MFBM-2:

MFBM Subgroup Contributed Talks

**Jordan Collignon***University of California, Merced*

"[PSI]-CIC: A Deep-Learning Pipeline for the Annotation of Sectored Saccharomyces cerevisiae Colonies"**Md Masud Rana***University of Kentucky*

"Differential geometry and graph theory-based machine-learning model for drug design"**Theo Loureaux***University of California Merced*

"Automating the Generation of Synthetic Training Data for Biological Image Segmentation"

##### 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"

##### CT03-ONCO-1:

ONCO Subgroup Contributed Talks

**Anna Tang***University of Utah*

"Mathematical Model of Drug Resistance in Cancer with respect to the Cancer Microenvironment"**Pujan Shrestha***Texas A&M University*

"Microenvironmental Modulation of the Cancer-Immune Interaction"**Yijia Fan***Texas A&M University*

"Stochastic modeling of extracellular matrix spatial and geometric cues in the tumor microenvironment: insights into cancer evasion and T-cell dysfunction"**Zahra S. Ghoreyshi***Texas A&M University, College Station, TX, USA*

"Optimal cellular phenotypic adaptation in fluctuating nutrient and drug environments"

##### CT03-OTHE-1:

OTHE Subgroup Contributed Talks

**Chengyue Wu***University of Texas at Austin*

"Optimization of a longitudinal imaging protocol to monitor the response of breast cancer to neoadjuvant therapy via Bayesian-based data assimilation"**Cole Butler***North Carolina State University*

"Partially functional resistance in gene drive control"**Daniel Cooney***University of Pennsylvania*

"A PDE Model for Protocell Evolution and the Origin of Chromosomes via Multilevel Selection"**Hayden Fennell***Indiana University Bloomington*

"Computational Apprenticeship: A Constructivist Approach for Teaching Modeling and Simulation"