The nucleus of a cell plays a pivotal role in regulating cellular function and providing mechanical integrity. We present a three-dimensional discrete particle model of the nucleus that incorporates the nuclear lamina and chromatin-containing nucleoplasm. The exterior, including the lamina, is modeled by a shell of bonded particles that can exhibit elastic, geometrically nonlinear, and buckling characteristics. The interior, comprising the viscous fluid-like nucleoplasm and the elastic chromatin meshwork, is modeled with particles that undergo viscoelastic interactions. Such a particle framework allows for a realistic representation of the discreteness in nuclear structure and heterogeneity in nuclear properties. In addition, contact dynamics between particles is naturally handled within this framework. This is advantageous when considering the dynamic linkages between intranuclear components (chromatin and the lamina) or between the nucleus and the cytoskeleton. The efficacy of this particle model is compared with different experimental assays, and relevant insights are provided.

# Contributed Talk Session - CT09

#### Thursday, June 17 at 06:45am (PDT)

Thursday, June 17 at 02:45pm (BST)

Thursday, June 17 10:45pm (KST)

# Contributed Talk Session - CT09

##### CT09-CBBS:

CBBS Subgroup Contributed Talks

**Prasenjit Ghosh***PhD Candidate, Indian Institute of Science, Bengaluru, India*

"Discrete particulate modeling of cell nuclei"**Benjamin Wölfl***University of Vienna, Vienna Graduate School of Population Genetics*

" On branch length distributions in the coalescent and its application in the i-ton density score"**Diego Samuel Rodrigues***FT-UNICAMP*

"A Bayesian Framework for Mathematical Modeling of In Vivo Pharmacokinetic Profiles of Magnetic Particles"**Jackie Taylor***University of Minnesota, Twin Cities*

" An advection-diffusion-aggregation model for the colony formation and vertical motility of Microcystis aeruginosa"

##### CT09-CDEV:

CDEV Subgroup Contributed Talks

**William Martinson***University of Oxford*

"Extracellular matrix remodelling by neural crest cells provides a robust signal for collective migration"**Sangita Swapnasrita***Maastricht University*

"Kinetic modeling of toxin transport in a bio-artificial kidney"**Chiara Villa***University of St Andrews*

"A mathematical model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis"**Supriya Krishnamurthy**

"Stochastic chemical reaction networks"

##### CT09-ECOP:

ECOP Subgroup Contributed Talks

**Eduardo Colombo***Princeton Univeristy*

"Taxis-induced mesoscale patchiness in plankton communities"**Paulo Amorim***Federal University of Rio de Janeiro*

"Predator-prey models with hunger structure"**Anna Sisk***University of Tennessee*

"Linking Immuno-Epidemiology Principles to Violence"**Adam Lampert***Arizona State University, Tempe, AZ, USA*

"Combining multiple tactics over time for cost-effective eradication of invading insect populations"

##### CT09-EVOP:

EVOP Subgroup Contributed Talks

**Hong Duong***University of Birmingham*

"Statistics of the number of equilibria: Evolutionary Game Theory meets Random Polynomial Theory"**Enrico Di Gaspero***Bielefeld University*

"Phylogeny and population genetics: The mutation process on the ancestral line"**Yuriy Pichugin***Max Planck Institute for Evolutionary Biology*

"Mass conservation restricts the possible modes of microbial reproduction"**Max Schmid***University of Lausanne, Switzerland*

"Spatial heterogeneity and frequency-dependent selection under limited dispersal: Where kin, divergent and disruptive selection meet"

##### CT09-IMMU:

IMMU Subgroup Contributed Talks

**Macauley Locke***University of Leeds*

"Novel Stochastic Models of type 1 interferon inhibition by Ebola Virus VP35"**Christopher Rowlatt***University of St Andrews*

"Modelling the within-host spread of SARS-CoV-2 infection, and immune response, using a multi-scale individual-based model"**Giulia Belluccini***University of Leeds*

"Multi-stage model of cell proliferation and death"**Daniel Luque Duque***University of Leeds*

"Multivariate competition for survival stimulus of T cell clonotypes in homeostasis"

##### CT09-MEPI:

MEPI Subgroup Contributed Talks

**Andrew Oster***Eastern Washington University*

"A New Model for Rat-Fleaâ€“Driven Plague Transmission"**Katia Vogt-Geisse***Universidad Adolfo Ibáñez*

"An SIR-type model incorporating social distancing dynamics based on point prevalence and socio-behavioral factors"**Edward Hill***University of Warwick*

"A network modelling approach to assess non-pharmaceutical disease controls against SARS-CoV-2 in a worker population"**Jeffery Demers***University of Maryland*

"Optimal allocation of limited testing resources for flattening the COVID-19 curve"

##### CT09-MFBM:

MFBM Subgroup Contributed Talks

**Ivan Borisov***INSYSBIO LLC*

"Constrained Optimization Approach to Predictability Analysis in Bio-Mathematical Modeling"**Anna Molyavko***ICM SB RAS, Krasnoyarsk Mathematical Center*

"Novel alignment-free highly parallel method to compare symbol sequences of an arbitrary length"**Dimitrios Patsatzis***National Technical University of Athens*

"Towards extending the arsenal of cancer immunology modeling with algorithmic asymptotic analysis"**Viktoriia Fedotovskaia***Siberian federal university, Institute of fundamental biology and biotechnology*

"The prevalence of function over taxonomy for triplet composition of mitochondrial and chloroplast plant genes"

##### CT09-NEUR:

NEUR Subgroup Contributed Talks

**Dr Paul A Roberts***University of Sussex*

"What the Zebrafish's Eye Tells the Zebrafish's Brain"**Ana Georgina Flesia***Universidad Nacional de Córdoba*

"boosting confidence in detecting time-dependent ultradian rhythms using wavelet analysis"**Euimin Jeong***KAIST*

"Different oscillatory mechanisms between LN and DN in drosophila clock"

##### CT09-ONCO:

ONCO Subgroup Contributed Talks

**Mohammad Zahid***H. Lee Moffitt Cancer Center & Research Institute*

"In Silico Trial to Estimate Personalized Radiotherapy Dose in Head and Neck Cancer"**Linus Schumacher***University of Edinburgh*

"Mutational fitness in age-related clonal haematopoiesis quantified from longitudinal data"**Adam Malik***Uppsala University*

"Using modelling to quantify the diversity of glioblastoma"**Marek Bodnar***Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland*

"On the optimal use of bevacizumab in unresected glioblastoma: An evidence-based mathematical approach"