Disease Modeling Commons^™

A Mathematical Model For Managing Diphtheria Outbreaks In Nigeria Via Vaccination, Enhanced Surveillance, Effective Quarantine, And Social Distancing Measures, Hycienth Ortser Orapine, Nyiutya Cephas Ine, Dekera Jacob Washachi, Ali Audu Baidu, Lubem Matthew Kwaghkor

Mathematical Modelling and Numerical Simulation with Applications

Diphtheria is a highly infectious respiratory and skin disease that poses a significant threat to global public health. In Nigeria, children and adults with low immunity remain at high risk due to recurring annual outbreaks in the last decade, with a death rate of as high as 68.8\%. This paper presents a deterministic compartmental model to evaluate the effectiveness of interventions implemented by the Nigerian government. The model's mathematical and epidemiological validity is established through proofs of non-negativity and boundedness. The basic reproduction number ($R_0$) is derived, and stability analysis confirms that the diphtheria-free equilibrium is locally and globally asymptotically …

Tumor–Immune Dynamics With Memory And Time Delay: A Fractional-Order Model With Ctla-4 Regulation, Mutaz Mohammad, Mohyeedden Sweidan, Alexander Trounev, Fathalla Rihan

Mathematical Modelling and Numerical Simulation with Applications

This study develops a fractional-order tumor-immune interaction model incorporating Caputo memory effects, delayed immune activation, and CTLA-4 checkpoint regulation. The model describes the coupled dynamics of tumor cells, CD4$^{+}$ T cells, IFN-$\gamma$, and CTLA-4, and extends classical integer-order tumor-immune models by accounting for hereditary immune responses and biologically motivated latency effects. Theoretical properties, including positivity, boundedness, equilibrium structure, and fractional-order stability, are examined to establish the biological and mathematical consistency of the model. The delayed fractional system is then investigated computationally by comparing several numerical methods, including finite difference discretization, Daubechies wavelet collocation, Euler wavelet collocation, and a predictor-corrector scheme. …

A Predictive Coding Account Of Spatial Working Memory Following Prophylactic Levetiracetam Administration Prior To Traumatic Brain Injury, Omeima Mutwali

Dissertations, Theses, and Capstone Projects

Traumatic brain injury (TBI) symptom prevention and remediation is an important area of research that would benefit vulnerable groups, including active-duty and veteran soldiers. These patients can sustain penetrative forces in fields of combat or in training, which result in focal lesions that trigger inflammatory and degenerative processes in the brain. Both primary and secondary injuries are associated with changes to cognition, behavior and affective state. This disease poses increased risk of epileptogenesis, as well. Given these outcomes, prior research has evaluated levetiracetam (LEV) as a prophylactic treatment for seizures, cognitive deficits and negative emotionality. LEV acts as a presynaptic …

Rhythms Of Hippocampal Function And Memory After Moderate Prenatal Alcohol Exposure, Lilliana May Sanchez

Psychology ETDs

Fetal Alcohol Spectrum Disorders involve morphologic and neurobiological abnormalities in offspring subjected to prenatal alcohol exposure. Although not as well studied as high exposure, moderate prenatal alcohol exposure represents the most common and undetected form in humans. While learning and memory deficits have been well characterized at the behavioral level in humans with Fetal Alcohol Spectrum Disorders and in animal models of moderate prenatal alcohol exposure, few studies have determined the circuit or systems level mechanisms of the behavioral deficits. A complete understanding of the neural bases of memory deficits after moderate prenatal alcohol exposure is needed to ultimately identify …

Stochastic Invasion And Extinction In Environmentally Transmitted Diseases, Mahmudul Bari Hridoy, Lauren M. Childs

Biology and Medicine Through Mathematics Conference

No abstract provided.

A Mechanistic Model Of Adhesion, Inflammation, Sleep, And Pain In Sickle Cell Patients, Milan Marsh, Rebecca Segal

Biology and Medicine Through Mathematics Conference

No abstract provided.

Determining The Relatedness Of Simian Varicella Virus Strains Using Polymerase Chain Reactions And Delta Herpesvirus-Dervied Primers, Ellyn M. Waits

Honors Theses

This study examines genetic variation among strains of Simian Varicella Virus (SVV) using genomic analysis. The primary goal of this experiment was to observe potential genomic differences among the Liverpool vervet virus (LVV), the Tsukuba herpesvirus, and the Delta herpesvirus (DHV) strains using primer sets developed from the fully sequenced DHV strain. SVV strains were initially cultivated in Vero cell cultures to begin viral propagation. Viral proliferation in these cell cultures enables DNA isolation via standard purification methods. The extracted viral DNA is subjected to polymerase chain reaction (PCR) amplification targeting specific regions of open reading frames (ORFs) in the …

Age And Genotype-Dependent Baseline Characterization Of Spatial Learning And Memory In App/Ps1 Rats Using The Morris Water Maze, Thomas George, Mohammadreza Arbab, Nathanael Ricardo Alicea, Mahdie Kerdari, Christopher Janson

Rowan-Virtua Research Day

Background: Alzheimer’s disease (AD) is characterized by progressive cognitive decline. Transgenic APP/PS1 rat models offer improved translational relevance compared to mouse models due to closer similarity to human neurobiology.

Objective: To establish a baseline profile of spatial learning and memory across age and genotype in rate model.

Methods: The Morris Water Maze (MWM) was used to assess four groups of rats: young Wild Type (WT), young APP/PS1 (AD), middle-aged WT, and middle-aged AD. Spatial learning was evaluated during acquisition (Day 1–4) using cumulative proximity and escape latency. Memory was assessed using probe trials (Day 2–4). Swim velocity …

Determinants Of Hypertension Awareness And Control In Kenya: A Secondary Analysis Of National Survey Data, Alexander K. Davis

Poster Presentations

No abstract provided.

The Epigenetic Effects Of Prenatal Diabetes On The Developing Vascular System- A Gsea Analysis, Daniel I. Telles Orellana

SPARK Symposium Presentations

Prenatal diabetes is a critical medical condition that extensively affects neonatal patients and their families. Numerous previous studies have suggested impairments in vascular development, size, and diversification; however, the molecular and gene regulatory mechanisms underlying these effects remain poorly understood. Understanding these mechanisms is essential for identifying potential therapeutic targets and improving treatment strategies. This study combined experimental zebrafish phenotypic analysis with re-analysis of publicly available RNA-seq data to investigate the effects of elevated glucose on embryonic vascular development. Zebrafish (Danio rerio) embryos were exposed to increasing glucose concentrations (1–3%) during early developmental stages. High glucose exposure showed …

Stimulation Of The Medial Septum Diagonal Band Of Broca Rescues Learning And Memory Deficits In Fmr1 Ko Mice, Mohamed Ouardouz, Amanda E Hernan, J. Matthew Mahoney, Rodney C Scott

SKMC Student Presentations and Publications

Fragile X Syndrome (FXS), the most common inherited cause of intellectual disability and a leading monogenic cause of autism, arises from the loss of Fragile X Messenger Ribonucleoprotein (Fmr protein), leading to synaptic and cognitive dysfunction. Here, we demonstrate that the frequency-specific electrical stimulation of the medial septum/diagonal band of Broca (MSDB) can restore cognitive and synaptic impairments in Fmr1 knockout mice, a validated model of FXS. Thirty minutes of 35 Hz MSDB stimulation significantly improved subsequent recognition memory, sociability, spatial learning, and fear memory, with recognition memory enhancements persisting for up to 7 days after daily 30 min …

Sexually Dimorphic Effects Of Gpnmb Modulation On Vertebral Bone Mass Regulation And Intravertebral Disc Health, Hakem Altawil, Fayez Safadi

Williams Honors College, Honors Research Projects

Osteoporosis and vertebral degeneration are major contributors to musculoskeletal morbidity, yet the molecular mechanisms regulating vertebral bone and intervertebral disc (IVD) homeostasis remain incompletely understood. GPNMB (osteoactivin) has been identified as a regulator of bone remodeling, though its role in spine health is unclear. This study evaluated the effects of GPNMB deficiency on lumbar vertebral bone microarchitecture and IVD integrity in a sex-dependent context.

Six-month-old male and female wild-type (WT) and GPNMB knockout (KO) mice were analyzed using micro–computed tomography (µCT) of lumbar vertebrae (L4–L6) and histological assessment of the L5–L6 IVD. KO males exhibited increased bone volume fraction, bone …

Nutrient-Driven Transcription Factor-Dna Interactions And Their Signaling Mechanisms In Metabolic Disease, Evelyn A. Bates

Theses and Dissertations--Nutritional Sciences

Metabolic homeostasis is maintained through tightly coordinated signaling networks that integrate diverse physiological inputs. Central to this regulation are transcription factors, which sense nutrient, hormonal, and vitamin-derived signals and translate them into coordinated gene expression programs. Transcription factor activity is governed by DNA binding, recruitment of coregulatory proteins, and interactions with specific response elements in gene promoters, which allows them to selectively modulate diverse metabolic pathways. Owing to their multifactorial and tunable nature, transcription factors have emerged as promising targets for the treatment and diagnosis of metabolic diseases, including metabolic dysfunction-associated steatotic liver disease (MASLD). This dissertation explores the molecular …

Oral Pathogens Reprogram Endothelial Barrier And Angiotensin-Converting Enzyme2/Endothelial Nitric Oxide Synthase-Nitric Oxide Signaling To Promote Blood Pressure Dysregulation, Ming-Shou Hsieh, Tung-Nien Hsu, Chin-Sheng Huang, Ting-Yi Renn, Kuang-Tai Kuo, Kuo-Yao Lin, Wei Jen Chang

Journal of Dental Sciences

Background/purpose: Although periodontal disease is associated with an increased risk of hypertension, the endothelial mechanisms linking oral inflammation to vascular dysfunction remain unclear. We investigated whether Porphyromonas gingivalis lipopolysaccharide (Pg-LPS) can directly disturb endothelial homeostasis and whether macrophage–endothelial crosstalk further worsens endothelial injury.

Materials and methods: Human umbilical vein endothelial cells (HUVECs) were exposed to Pg-LPS alone or co-cultured (transwell system) with Pg-LPS-primed human monocytic cells -derived macrophages. Endothelial dysfunction was assessed through nitric oxide (NO) production, endothelial nitric oxide synthase (eNOS) phosphorylation, inflammatory and adhesion molecule expression, as well as junctional and cytoskeletal changes. Macrophage …

Disrupted Circadian Rhythms Affect Hallmark Pathologies In Alzheimer’S Disease-Related Mouse Models, Valeria Buzinova

Theses and Dissertations--Molecular and Cellular Biochemistry

Alzheimer’s Disease (AD) is a complex neurodegenerative disease with two hallmark pathologies: extracellular amyloid-b (Ab) and intracellular neurofibrillary tangles (NFTs). Ab is proteolytically processed from amyloid precursor protein (APP) by b-secretase and g-secretase as a monomeric peptide prone to aggregation. Eventually, the aggregate-prone monomers will form dense plaques that are difficult to break down and remove. These plaques begin to deposit into the cortex decades prior to the formation of NFTs and the onset of cognitive decline. NFTs are comprised of hyper-phosphorylated tau. Tau is a protein that serves to promote and stabilize the formation of microtubules. The formation of …

Oropharyngeal Syphilis Presenting As Tongue Based Ulcer With Lymphadenopathy, Serena F. Pu, Kevin J. Carlson, Jonathan R. Mark, Benjamin J. Rubinstein

Department of Otolaryngology (ENT) Faculty Publications

Within the aerodigestive tract, syphilis presents with varied signs and symptoms, some of which may mimic malignancy or other disease processes. We present the case of a 29-year-old man with otalgia and odynophagia who was found on physical examination and office laryngoscopy to have a 4-cm ulcerative mass of the tongue base and cervical lymphadenopathy. While planning for tissue diagnosis, the patient’s serologies revealed positive treponemal antibody testing and elevated rapid plasma reagin (RPR) titers, confirming syphilitic infection, likely representing secondary syphilis. While awaiting operative biopsy, the patient received intramuscular penicillin with complete resolution of the mass and symptoms, and …

Modeling Inherited Retinal Disease In Zebrafish, Meet Patel

Theses and Dissertations--Biology

Inherited retinal diseases (IRDs) affect millions of people worldwide. Majority of IRDs are caused by degeneration of rod and cone photoreceptor cells (PRCs) due to gene mutations. The overarching goal of my dissertation is to model and evaluate the molecular role of various gene candidates involved in IRDs such as cone rod dystrophy (CRD) and retinitis pigmentosa (RP).

Mutations in CDHR1, a photoreceptor specific cadherin have been associated with CRD and recapitulated in mouse CDHR1 knockouts. However, the molecular function of CDHR1 remains unknown. CDHR1 has been shown to localize at the leading edge of murine rod nascent outer segment …

Paneugenesis: A Regenerative Systems Hypothesis For Advancing Health Promotion, Craig M. Becker, Leslie Hoglund, Beth Chaney, Joseph G. L. Lee, Michael Stellefson, Alex Davis

Epidemiology, Biostatistics, & Environmental Health Faculty Publications

Despite major advances in health promotion science, dominant approaches remain largely prevention-and risk-reduction-oriented. The prevailing orientation creates a substantial opportunity to advance generative, system-design strategies that intentionally produce well-being rather than merely prevent disease. This article proposes paneugenesis as a regenerative systems framework and a testable theoretical model for the intentional creation of net-positive outcomes, thereby extending health promotion beyond its traditional pathogenic emphasis. Paneugenesis integrates systems science, salutogenesis, behavioral science, complexity theory, and quality management principles into a unified four-function process: operationalizing idealized outcomes, identifying key precursors, optimizing processes, and continually plotting progress through feedback mechanisms. The central hypothesis …

A Novel Mathematical Model Of Hiv Transmission Incorporating The Effects Of Treatment And Pre-Exposure Prophylaxis: Sensitivity Analysis And Numerical Simulations, Erick Manuel Delgado Moya

Mathematical Modelling and Numerical Simulation with Applications

Human immunodeficiency virus (HIV) continues to be a public health problem in many countries of the world, and Pre-exposure prophylaxis (PrEP) is a preventive method for HIV, which has shown great efficacy and is in use worldwide. This work presents a new mathematical model for HIV transmission incorporating PrEP use and evaluates the impact of PrEP along with its increasing use in a population. The construction of the model takes into account three forms of diagnosis: diagnosis of individuals in risky sexual contact, diagnosis after risky contact (diagnosis in the undiagnosed infected compartment), and diagnosis associated with attempting to enter …

Shape: Spatial Health And Population Estimator, Emma M. Von Hoene, Aanya Gupta, Hamdi Kavak, Amira Roess, Taylor Anderson

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

A Novel Mathematical Model Of Oropouche Virus Transmission Dynamics, Darsh Gandhi, Carli Peterson, Emma Slack, Elizabeth Rubio, Amira Claxton, Christopher M. Kribs

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Integration Of High-Resolution Behavioral Data Into Mathematical Models For Public Health Applications, Giulia Pullano

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

[Lele] Measles And Mandates– What Will Happen If Florida Repeals The Mmr Vaccine Mandate?, Alice Oveson, Abba Gumel

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Heterogeneity In Malaria: A Pk-Pd Immuno-Epidemiology Model With Non-Exponential Waiting Times, Katharine Gurski

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Parameter Estimation And Simulation In Pollution-Induced Asthma Disease Model Using Physics-Informed Neural Networks, Aadi Gannavaram

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Modeling Sickle Cell Disease Using A Sleep-Pain-Inflammation Cycle, Milan Marsh

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

The Impacts Of Metapopulation Structure On Infectious Disease Dynamics, Éowyn M. Poplawski, David Brown

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Microbial Metabolite Regulation Of Microglial Ahr Signaling In Alzheimer’S Disease, Ghalya E. Alrousan

Dissertations and Theses (Open Access)

Introduction: Alzheimer’s disease (AD) is a progressive neurodegenerative disorder characterized by amyloid-β plaque accumulation, neuroinflammation, and cognitive decline. Recent evidence suggests that systemic factors, particularly the gut microbiota and its metabolites, play a significant role in shaping brain immune responses, including microglial activation. However, the mechanisms linking gut dysbiosis to microglial dysfunction in AD are poorly understood. The aryl hydrocarbon receptor (AHR), a ligand-activated transcription factor responsive to tryptophan metabolites, has recently gained attention as a key regulator of neuroinflammation and microglial function. I hypothesize that the loss of beneficial microbial AHR ligands, specifically indole derivatives, during aging and AD …

Forecasting Influenza Rates Using Machine Learning: A Study Of Chatgpt's Predictive Accuracy, Sara Saleh

University Honors Theses

This study evaluates ChatGPT's ability to forecast influenza rates, such as the number of flu cases, hospitalizations, and death during peak season periods using CDC data, and comparing forecasts against actual results to calculate statistical accuracy and consistency. Influenza forecasting is essential for public health planning, but traditional methods may not always provide timely or accurate predictions. In this research study, ChatGPT was utilized to predict the influenza rates for the following week based on the previous week's data obtained from the FluView surveillance system. The predicted rates were compared to the actual influenza rates to assess the model's overall …

A Modified Sir Model Used To Investigate The Relationship Between Congenital And Adult Syphilis, Kaleesta R. Waysman

Honors Thesis

A complex SIR model integrating the relationship between adult and congenital syphilis was developed. The goal of the project was to determine the specific population(s) or control strategies that should be enforced, altered, or removed to decrease the number of children experiencing clinical sequelae due to congenital syphilis. Early clinical sequelae include hydrops fetalis, preterm birth, central nervous system infection, hepatosplenomegaly, hyperbilirubinemia, cholestasis, hemolytic anemia, snuffles, osteochondritis, and lesions or rashes in the palms and soles. Late clinical sequelae include interstitial keratitis, hearing loss, Hutchinson teeth, saber shins, Clutton joints, mulberry molars, and saddle nose. After implementing real-world data into …