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Time Scale Separation In Life-Long Ovarian Follicles Population Dynamics Model, Romain Yvinec, Frédérique Clément, Guillaume Ballif May 2024

Time Scale Separation In Life-Long Ovarian Follicles Population Dynamics Model, Romain Yvinec, Frédérique Clément, Guillaume Ballif

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modeling Of Intracellular Compartmentalized Gpcr Signaling, Léo Darrigade May 2024

Modeling Of Intracellular Compartmentalized Gpcr Signaling, Léo Darrigade

Biology and Medicine Through Mathematics Conference

No abstract provided.


Multi-Type Branching Processes In Time-Varying Environments, Arash Jamshidpey May 2024

Multi-Type Branching Processes In Time-Varying Environments, Arash Jamshidpey

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modeling And Control Of Drug Resistance In Cancer Dynamics, James Greene May 2024

Modeling And Control Of Drug Resistance In Cancer Dynamics, James Greene

Biology and Medicine Through Mathematics Conference

No abstract provided.


Reaction-Diffusions System Simulated On Irregular Shapes And Surfaces Model Petal Spot Patterns In Monkeyflower Hybrids, Emily Simmons, Arielle M. Cooley, Joshua R. Puzey, Gregory D. Conradi Smith May 2024

Reaction-Diffusions System Simulated On Irregular Shapes And Surfaces Model Petal Spot Patterns In Monkeyflower Hybrids, Emily Simmons, Arielle M. Cooley, Joshua R. Puzey, Gregory D. Conradi Smith

Biology and Medicine Through Mathematics Conference

No abstract provided.


Differential Equations For Modeling Pathways Leading To Diabetes Onset, Viktoria Savatorova, Aleksei Talonov May 2024

Differential Equations For Modeling Pathways Leading To Diabetes Onset, Viktoria Savatorova, Aleksei Talonov

CODEE Journal

This paper presents a mathematical model that explains potential pathways leading to diabetes onset. By utilizing a system of nonlinear differential equations to describe the dynamics of the glucose regulatory system, the model can serve as a pedagogical tool for teaching and learning differential equations, dynamical systems, mathematical modeling, and introduction to biomathematics. Within this framework, students can analyze equilibrium solutions, investigate stability, assess parameter sensitivity, and explore the potential for bifurcations. Theoretical analysis is complemented by illustrative numerical examples. Instructors have the flexibility to adapt and incorporate suggested activities according to their teaching preferences and objectives.


Exchangeability And A Model Of Biological Evolution, Renee Haddad May 2024

Exchangeability And A Model Of Biological Evolution, Renee Haddad

Honors Scholar Theses

A sequence of random variables (RVs) is exchangeable if its distribution is invariant under permutations. For example, every sequence of independent and identically distributed (IID) RVs is exchangeable. The main result on exchangeable sequences of random variables is de Finetti's theorem, which identifies exchangeable sequences as conditionally IID. In this thesis, we explore exchangeability, provide an elementary proof of de Finetti's theorem, and present two applications: the classical Polya's urn model and a toy model for biological evolution.


Missing Wedge Completion Via Unsupervised Learning With Coordinate Networks, Dave Van Veen, Jesús G Galaz-Montoya, Liyue Shen, Philip Baldwin, Akshay S Chaudhari, Dmitry Lyumkis, Michael F Schmid, Wah Chiu, John Pauly May 2024

Missing Wedge Completion Via Unsupervised Learning With Coordinate Networks, Dave Van Veen, Jesús G Galaz-Montoya, Liyue Shen, Philip Baldwin, Akshay S Chaudhari, Dmitry Lyumkis, Michael F Schmid, Wah Chiu, John Pauly

Faculty, Staff and Students Publications

Cryogenic electron tomography (cryoET) is a powerful tool in structural biology, enabling detailed 3D imaging of biological specimens at a resolution of nanometers. Despite its potential, cryoET faces challenges such as the missing wedge problem, which limits reconstruction quality due to incomplete data collection angles. Recently, supervised deep learning methods leveraging convolutional neural networks (CNNs) have considerably addressed this issue; however, their pretraining requirements render them susceptible to inaccuracies and artifacts, particularly when representative training data is scarce. To overcome these limitations, we introduce a proof-of-concept unsupervised learning approach using coordinate networks (CNs) that optimizes network weights directly against input …


Exploring The Evolution Of Altruistic Punishment Using A Pde Model For Multilevel Selection, Daniel Cooney May 2024

Exploring The Evolution Of Altruistic Punishment Using A Pde Model For Multilevel Selection, Daniel Cooney

Biology and Medicine Through Mathematics Conference

No abstract provided.


Identifiability Analysis And Model Reduction For Soft Tissue Models, Mansoor A. Haider May 2024

Identifiability Analysis And Model Reduction For Soft Tissue Models, Mansoor A. Haider

Biology and Medicine Through Mathematics Conference

No abstract provided.


Tracking Food Quality In Algae-Daphnia Ecosystems Through Stage Structured Models And Colimitation, Tomas Ascoli May 2024

Tracking Food Quality In Algae-Daphnia Ecosystems Through Stage Structured Models And Colimitation, Tomas Ascoli

Biology and Medicine Through Mathematics Conference

No abstract provided.


Identifiability For Pde Models Of Fluorescence Microscopy Experiments, Veronica Ciocanel May 2024

Identifiability For Pde Models Of Fluorescence Microscopy Experiments, Veronica Ciocanel

Biology and Medicine Through Mathematics Conference

No abstract provided.


Analysis Of Poroelastic Systems Describing Biological Tissues, Ellie Gurvich May 2024

Analysis Of Poroelastic Systems Describing Biological Tissues, Ellie Gurvich

Biology and Medicine Through Mathematics Conference

No abstract provided.


Multiscale Modeling Of Microtubule Polarity Mechanisms Following Neuronal Axotomy, Hannah Scanlon May 2024

Multiscale Modeling Of Microtubule Polarity Mechanisms Following Neuronal Axotomy, Hannah Scanlon

Biology and Medicine Through Mathematics Conference

No abstract provided.


Statistical Mobility Of Aggregated Microswimmers, Yonatan Ashenafi May 2024

Statistical Mobility Of Aggregated Microswimmers, Yonatan Ashenafi

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modeling Human Temporal Eeg Responses To Vr Visual Stimuli, Richard R. Foster, Connor Delaney, Dean J. Krusienski, Cheng Ly May 2024

Modeling Human Temporal Eeg Responses To Vr Visual Stimuli, Richard R. Foster, Connor Delaney, Dean J. Krusienski, Cheng Ly

Biology and Medicine Through Mathematics Conference

No abstract provided.


A Deeper Understanding Of Cell Movement: A Mathematical Perspective On Egg Chamber Architecture, Naghmeh Akhavan May 2024

A Deeper Understanding Of Cell Movement: A Mathematical Perspective On Egg Chamber Architecture, Naghmeh Akhavan

Biology and Medicine Through Mathematics Conference

No abstract provided.


Sustained Ifn Signaling Is Associated With Delayed Development Of Sars-Cov-2-Specific Immunity, Elsa Brunet-Ratnasingham, Sacha Sacha, Haley E. Randolph, Marjorie Labrecque, Justin Bélair, Raphaël Lima-Barbosa, Amélie Pagliuzza, Lorie Marchitto, Michael Hultström, Julia Niessl, Rose Cloutier, Alina M. Flores, Nathalie Brassard, Mehdi Benlarbi, Jérémie Prévost, Shilei Ding, Sai Priya Anand, Gérémy Sannier, Amanda Marks, Dick Wågsäter, Eric Bareke, Hugo Zeberg, Miklos Lipcsey, Robert Frithiof, Anders Larsson, Sirui Zhou, Tomoko Nakanishi, David Morrison, Dani Vezina, Catherine Bourassa, Gabrielle Gendron-Lepage, Halima Medjahed, Floriane Point, Jonathan Richard, Catherine Larochelle, Alexandre Prat, Janet L. Cunningham, Nathalie Arbour, Madeleine Durand, J. Brent Richards, Kevin Moon, Nicolas Chomont, Andrés Finzi, Martine Tétreault, Luis Barreiro, Guy Wolf, Daniel E. Kaufmann May 2024

Sustained Ifn Signaling Is Associated With Delayed Development Of Sars-Cov-2-Specific Immunity, Elsa Brunet-Ratnasingham, Sacha Sacha, Haley E. Randolph, Marjorie Labrecque, Justin Bélair, Raphaël Lima-Barbosa, Amélie Pagliuzza, Lorie Marchitto, Michael Hultström, Julia Niessl, Rose Cloutier, Alina M. Flores, Nathalie Brassard, Mehdi Benlarbi, Jérémie Prévost, Shilei Ding, Sai Priya Anand, Gérémy Sannier, Amanda Marks, Dick Wågsäter, Eric Bareke, Hugo Zeberg, Miklos Lipcsey, Robert Frithiof, Anders Larsson, Sirui Zhou, Tomoko Nakanishi, David Morrison, Dani Vezina, Catherine Bourassa, Gabrielle Gendron-Lepage, Halima Medjahed, Floriane Point, Jonathan Richard, Catherine Larochelle, Alexandre Prat, Janet L. Cunningham, Nathalie Arbour, Madeleine Durand, J. Brent Richards, Kevin Moon, Nicolas Chomont, Andrés Finzi, Martine Tétreault, Luis Barreiro, Guy Wolf, Daniel E. Kaufmann

Mathematics and Statistics Faculty Presentations

Plasma RNAemia, delayed antibody responses and inflammation predict COVID-19 outcomes, but the mechanisms underlying these immunovirological patterns are poorly understood. We profile 782 longitudinal plasma samples from 318 hospitalized patients with COVID-19. Integrated analysis using k-means reveals four patient clusters in a discovery cohort: mechanically ventilated critically-ill cases are subdivided into good prognosis and high-fatality clusters (reproduced in a validation cohort), while non-critical survivors segregate into high and low early antibody responders. Only the high-fatality cluster is enriched for transcriptomic signatures associated with COVID-19 severity, and each cluster has distinct RBD-specific antibody elicitation kinetics. Both critical and non-critical clusters with …


Re-Instatement Of Pell Grants For Incarcerated Students: Implications For Cs Education, E. Hogan, D. J. Mir, A. Cencini, Keith O'Hara, A. G. S. Raj, W. G. Griswold, L. Porter May 2024

Re-Instatement Of Pell Grants For Incarcerated Students: Implications For Cs Education, E. Hogan, D. J. Mir, A. Cencini, Keith O'Hara, A. G. S. Raj, W. G. Griswold, L. Porter

Computer Science Faculty Works

The US incarcerates more people, and at a higher rate, than any other country in the world—predominantly low-income people of color. Higher education in prison (HEP) has a powerful impact on justice-impacted people, improving their quality of life during incarceration and reducing their likelihood of returning to prison post-release. HEP nearly disappeared in 1994 after Pell Grant eligibility was eliminated for incarcerated students, which was recently reinstated. More computing educators can reach incarcerated students with digital literacy skills, core computing content, and critical analyses of the impacts of computing on society. CS education researchers can also support the growth of …


The Structure And Control Of Chaos In Theory And Application, Grayson P. Mcdowell May 2024

The Structure And Control Of Chaos In Theory And Application, Grayson P. Mcdowell

Student Scholarship

Chaos theory is the study of systems that evolve in highly irregular ways due to sensitivity to initial conditions. These include but are not limited to certain physical, biological, chemical, and economic systems. In Section I, we offer a protocol that exposes the structure of chaotic trajectories in the logistic map model, a toy model of chaos, and we offer a method for stabilizing chaotic trajectories. Section I finishes with a discussion of potential pathways forward with these methods. In Section II, we look at a concrete chaotic system: the human heart. One hundred nineteen (N=119) students participated in a …


An Algorithm Of Aesthetics: The Mathematical Beauty Of Type-B Turing Pattern Development In Monkeyflowers, Clara A. Rinker, Emily S.G. Simmons, Joshua R. Puzey, Gregory D. Conradi Smith May 2024

An Algorithm Of Aesthetics: The Mathematical Beauty Of Type-B Turing Pattern Development In Monkeyflowers, Clara A. Rinker, Emily S.G. Simmons, Joshua R. Puzey, Gregory D. Conradi Smith

Biology and Medicine Through Mathematics Conference

No abstract provided.


Impacts Of Hematodinium Infection In A Seasonal Population Model Of The Chesapeake Bay Blue Crab, Gwendolyn R. Sargent, Romuald Lipcius, Leah Shaw, Junping Shi, Jeffrey D. Shields May 2024

Impacts Of Hematodinium Infection In A Seasonal Population Model Of The Chesapeake Bay Blue Crab, Gwendolyn R. Sargent, Romuald Lipcius, Leah Shaw, Junping Shi, Jeffrey D. Shields

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modeling Synergistic Effects Of Integrin And Tgf-Beta Signaling In Epithelial Mesenchymal Transition, Prerak Thakkar May 2024

Modeling Synergistic Effects Of Integrin And Tgf-Beta Signaling In Epithelial Mesenchymal Transition, Prerak Thakkar

Biology and Medicine Through Mathematics Conference

No abstract provided.


Stokes Flow Around Beating Microorganisms, Mckenna A. Witt May 2024

Stokes Flow Around Beating Microorganisms, Mckenna A. Witt

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematically Modeling Stoichiometric Drivers Of Nitrogen Fixation, Rebecca Everett, Corday Selden, Mohamed Hatha Abdulla, Jabir Thajudeen, James Powell, Edwin Cruz-Rivera, Luca Schenone, Renn Schipper, Megan Berberich, Halvor Halvorson, Robinson Fulweiler, Amy Marcarelli, Thad Scott May 2024

Mathematically Modeling Stoichiometric Drivers Of Nitrogen Fixation, Rebecca Everett, Corday Selden, Mohamed Hatha Abdulla, Jabir Thajudeen, James Powell, Edwin Cruz-Rivera, Luca Schenone, Renn Schipper, Megan Berberich, Halvor Halvorson, Robinson Fulweiler, Amy Marcarelli, Thad Scott

Biology and Medicine Through Mathematics Conference

No abstract provided.


Clustering Using Self Organizing Maps In Biology, Olcay Akman May 2024

Clustering Using Self Organizing Maps In Biology, Olcay Akman

Biology and Medicine Through Mathematics Conference

No abstract provided.


Plenary: Mathematics Of Malaria Transmission Dynamics: The Renewed Quest For Eradication, Abba Gumel May 2024

Plenary: Mathematics Of Malaria Transmission Dynamics: The Renewed Quest For Eradication, Abba Gumel

Biology and Medicine Through Mathematics Conference

No abstract provided.


Plenary: Insights Into Depression: Mathematical Approaches, Janet Best May 2024

Plenary: Insights Into Depression: Mathematical Approaches, Janet Best

Biology and Medicine Through Mathematics Conference

No abstract provided.


Youth Interest In Reusable Menstrual Hygiene Products: An Opportunity For Improving Menstruation Management, Makenna R. Eccles May 2024

Youth Interest In Reusable Menstrual Hygiene Products: An Opportunity For Improving Menstruation Management, Makenna R. Eccles

College Honors Program

Adolescents experience inconsistent menstrual hygiene material access that is exacerbated by poverty and results in menstruation management difficulty, health risks, and interruptions to school attendance. The study centered the adolescent menstruation management experience through qualitative interviews to identify management difficulties and to assess knowledge, interest, and perceived feasibility of implementing reusable menstrual hygiene materials such as reusable sanitary pads, period underwear, menstrual cups, and menstrual disks to improve both menstrual hygiene access and menstrual management experiences. Inductive and deductive coding was used to analyze interview data and identify key themes. Adolescents expressed interest in reusable menstrual hygiene materials due to …


Tri-Training Algorithm Based On Density Peaks Clustering, Yuhang Luo, Runxiu Wu, Zhihua Cui, Yiying Zhang, Yeshen He, Jia Zhao May 2024

Tri-Training Algorithm Based On Density Peaks Clustering, Yuhang Luo, Runxiu Wu, Zhihua Cui, Yiying Zhang, Yeshen He, Jia Zhao

Journal of System Simulation

Abstract: Tri-training can effectively improve the generalization ability of classifiers by using unlabeled data for classification, but it is prone to mislabeling unlabeled data, thus forming training noise. Tritraining (Tri-training with density peaks clustering, DPC-TT) algorithm based on density peaks clustering is proposed. The DPC-TT algorithm uses the density peaks clustering algorithm to obtain the class cluster centers and local densities of the training data, and the samples within the truncation distance of the class cluster centers are identified as the samples with better spatial structure, and these samples are labeled as the core data, and the classifier is updated …