As a solid tumor evolves, compressive stresses accumulate within the tumor due to growth. These stresses play important roles on tumor cells phenotype differentiation and tumor microenvironment conditions. Many mathematical models have been developed to represent tumor growth under deformation. From a continuum mechanics point of view, they are usually built by performing a kinematic decomposition, applying the momentum balance equation, and adding constitutive relations. This framework involves a series of assumptions that ultimately impact the prediction of the tumor deformation. A different framework can be pursued by using in vivo data to recover the tumor deformation. Here we investigate the use of a classical optical flow methodology known as the Lucas-Kanade technique to track tumor deformation in a synthetic experimental breast cancer setting. We also perform a model-free sensitivity analysis to study the impact of parameter uncertainties on the tumor evolution in the proposed modeling framework. We focus on the identification of the set of influential parameters with respect to the tumor area evolution, recognized as a meaningful quantity of interest. We show that optical flow techniques may capture deformations appearing in breast cancers, being a useful alternative to integrate in vivo deformation data to mathematical tumor models.

# Contributed Talk Session - CT07

#### Wednesday, June 16 at 02:15pm (PDT)

Wednesday, June 16 at 10:15pm (BST)

Thursday, June 17 06:15am (KST)

# Contributed Talk Session - CT07

##### CT07-CBBS:

CBBS Subgroup Contributed Talks

**Anna Claudia Mello de Resende***Laboratório Nacional de Computação Científica (LNCC)*

"Integrating Image-Driven Deformation with Tumor Growth Models"**Dorsa Mohammadrezaei***Department of Applied Mathematics, University of Waterloo, Waterloo, Canada*

"In-vitro and In-silico Study on a 3D-Bioprinted Breast Cancer Tumor Model"**Noemi Andor***Moffitt Cancer Center*

"Tipping cancer cells over the edge; the context-dependent cost of DNA content variation"**Anna Miller***Department of Integrated Mathematical Oncology, Moffitt Cancer Center*

"An integrated computational model of multiple myeloma-bone dynamics under treatment"

##### CT07-CDEV:

CDEV Subgroup Contributed Talks

**Mikahl Banwarth-Kuhn***University of California Merced*

"Multiscale Modeling of Neurodegenerative Diseases"**Benjamin Brindle***Lehigh University*

"Bifurcation Analysis in a Mathematical Model for Red Blood Cell Dynamics"**Marcos Gouveia***CFisUC-Center of Physics of the University of Coimbra, University of Coimbra*

" * Tip cell migration in sprouting angiogenesis: The role of extracellular matrix mechanics'"**David Hardman***Usher Institute, University of Edinburgh*

"A combined in vitro/agent-based modelling approach for optimising muscle cell culture medium"

##### CT07-ECOP:

ECOP Subgroup Contributed Talks

**Nazanin Zaker***University of Ottawa*

"The effect landscape fragmentation on Turing pattern formation"**Wencel Valega-Mackenzie***University of Tennessee Knoxville*

"Resource Allocation in a PDE Ecosystem Model"**Lucas dos Anjos***National Laboratory for Scientific Computing*

"Rapid spread agents may impair biological control in a tritrophic food web with intraguild predation"**Shadi Sadat Esmaeili-Wellman***University of California Davis*

"Noise-Induced vs. Noisy Intrinsic Oscillations in Ecological Systems"

##### CT07-EVOP:

EVOP Subgroup Contributed Talks

**Renee Dale***Donald Danforth Plant Science Center*

"Describing root structural traits using characteristics of the multivariate normal distribution"**Thomas Tunstall***Living Systems Institute and Physics and Astronomy, University of Exeter, Exeter, United Kingdom*

"Two subcritical processes combine into a supercritical process during range expansion into a heterogeneous environment"**Jody Reimer***University of Utah*

"Beyond the mean: incorporating small scale heterogeneity into algal bloom models using generalized polynomial chaos"**Olivia Chu***Princeton University*

"Opinion dynamics in heterogeneous environments"

##### CT07-MEPI:

MEPI Subgroup Contributed Talks

**Marcelo Eduardo Borges***Observatório COVID-19 BR*

"Impact of school reopening and contact tracing strategies in covid-19 epidemiological dynamics in Brazilian capitals"**Cole Butler***North Carolina State University*

"Density-dependence and the effectiveness of gene drives in controlling prevalence of mosquito-borne infections"**Jonathan Forde***Hobart and William Smith Colleges*

"The tradeoff between sensitivity and frequency in COVID-19 testing"**Iraj Yadegari***Postdoctoral fellow*

"Updating the herd-immunity threshold under multiple-vaccine strategies"

##### CT07-MFBM:

MFBM Subgroup Contributed Talks

**Eli Newby***The Pennsylvania State University*

" Identifying Driver Nodes in Biological Networks using Subsets of the Feedback Vertex Set"**Xiaoyu Duan***University of Pittsburgh*

"Parameter identification of linear-in-parameters systems from a single trajectory"**Katherine Pearce***Department of Mathematics, North Carolina State University*

"Modeling and parameter subset selection for fibrin polymerization kinetics with applications to wound healing"**Yue Liu***University of Oxford*

"Organisation of diffusion-driven stripe formation in expanding domains"

##### CT07-NEUR:

NEUR Subgroup Contributed Talks

**Sishu Shankar Muni***School of Fundamental Sciences, Massey University, New Zealand*

"Dynamics of the discretised Izhikevich neuron model"**Marina Chugunova***University of Waterloo, Canada*

"Calcium dynamics in the gonadotropin-releasing hormone neurons"**John Parker***University of New Hampshire*

"Existence of Cupolets in Chaotic Hindmarsh-Rose Neural Model"**Christina Pospisil***USA*

"Mathematical Models for Living Forms in Medical Physics Submodel 2: Information-Coding and Information-Processing through Nerves"

##### CT07-ONCO:

ONCO Subgroup Contributed Talks

**Pirmin Schlicke***Technical University of Munich, Germany*

"Bringing math into medical clinics: a model framework quantifying treatment outcomes in metastatic cancer"**Daniel Glazar***Moffitt Cancer Center*

"Predicting Advanced Head and Neck Cancer Patients with High Risk of Early Treatment Failure"**Maximilian Strobl***University of Oxford & Moffitt Cancer Center*

"Using eco-evolutionary modelling to improve the management of PARPi resistance in ovarian cancer maintenance therapy"**Ryan Murphy***Queensland University of Technology*

"Looking beneath the surface of tumour spheroids: insights from mathematical models parameterised to experimental data"