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Medical Biomathematics and Biometrics Commons

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A Mathematical Model To Explore The Potential Of Combinations Of Adt And Immunotherapies, Johnna Barnaby 2020 Shippensburg University of Pennsylvania

A Mathematical Model To Explore The Potential Of Combinations Of Adt And Immunotherapies, Johnna Barnaby

Biology and Medicine Through Mathematics Conference

No abstract provided.


452— Potential Impacts Of Basic Reproduction Number On The Covid-19 Epidemic, Marisa Presutto 2020 SUNY Geneseo

452— Potential Impacts Of Basic Reproduction Number On The Covid-19 Epidemic, Marisa Presutto

GREAT Day

The basic reproduction number (R0) of a disease can be thought of as the number of cases that one case will directly generate if the rest of the population is susceptible to infection. The R0 of COVID-19 has recently become clearer; toward the beginning of the outbreak, the Imperial College Group estimated it to be somewhere between 1.5 and 3.5 (Imai et al. 2020), but they have now assumed a value of 2.4 (Ferguson et al. 2020). Using the Watts-Strogatz small-world model, I examined the effects of different R0 values within the original range ...


Mathematical Model Of Atm Activation And Chromatin Relaxation By Ionizing Radiation, Yongfeng Li, Francis A. Cucinotta 2020 USRA

Mathematical Model Of Atm Activation And Chromatin Relaxation By Ionizing Radiation, Yongfeng Li, Francis A. Cucinotta

Health Care Administration & Policy Faculty Publications

International Journal of Molecular Sciences


Connectivity Differences Between Gulf War Illness (Gwi) Phenotypes During A Test Of Attention, Tomas Clarke, Jessie Jamieson, Patrick Malone, Rakib U. Rayhan, Stuart Washington, John W. VanMeter, James N. Baraniuk 2019 Georgetown University

Connectivity Differences Between Gulf War Illness (Gwi) Phenotypes During A Test Of Attention, Tomas Clarke, Jessie Jamieson, Patrick Malone, Rakib U. Rayhan, Stuart Washington, John W. Vanmeter, James N. Baraniuk

Faculty Publications, Department of Mathematics

One quarter of veterans returning from the 1990–1991 Persian Gulf War have developed Gulf War Illness (GWI) with chronic pain, fatigue, cognitive and gastrointestinal dysfunction. Exertion leads to characteristic, delayed onset exacerbations that are not relieved by sleep. We have modeled exertional exhaustion by comparing magnetic resonance images from before and after submaximal exercise. One third of the 27 GWI participants had brain stem atrophy and developed postural tachycardia after exercise (START: Stress Test Activated Reversible Tachycardia). The remainder activated basal ganglia and anterior insulae during a cognitive task (STOPP: Stress Test Originated Phantom Perception). Here, the role of ...


Mathematics Saves Lives: Models And Signals Enabling Medicine And Biology, Raina Robeva 2019 Randolph-Macon College

Mathematics Saves Lives: Models And Signals Enabling Medicine And Biology, Raina Robeva

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Transient Dynamics Of Infection Transmission In An Intensive Care Unit, Christopher Short, Matthew S. Mietchen, Eric T. Lofgren 2019 WSU

Transient Dynamics Of Infection Transmission In An Intensive Care Unit, Christopher Short, Matthew S. Mietchen, Eric T. Lofgren

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Not Just Either/Or: Discrete And Continuous Models Play Nicely Together In A Model Of Hospital Infection, Lester Caudill, Barry Lawson 2019 University of Richmond

Not Just Either/Or: Discrete And Continuous Models Play Nicely Together In A Model Of Hospital Infection, Lester Caudill, Barry Lawson

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Seeing Eye To Eye: A Machine Learning Approach To Automated Saccade Analysis, Maigh Attre 2019 University of Connecticut

Seeing Eye To Eye: A Machine Learning Approach To Automated Saccade Analysis, Maigh Attre

Honors Scholar Theses

Abnormal ocular motility is a common manifestation of many underlying pathologies particularly those that are neurological. Dynamics of saccades, when the eye rapidly changes its point of fixation, have been characterized for many neurological disorders including concussions, traumatic brain injuries (TBI), and Parkinson’s disease. However, widespread saccade analysis for diagnostic and research purposes requires the recognition of certain eye movement parameters. Key information such as velocity and duration must be determined from data based on a wide set of patients’ characteristics that may range in eye shapes and iris, hair and skin pigmentation [36]. Previous work on saccade analysis ...


Parameter Estimation And Optimal Design Techniques To Analyze A Mathematical Model In Wound Healing, Nigar Karimli 2019 Western Kentucky University

Parameter Estimation And Optimal Design Techniques To Analyze A Mathematical Model In Wound Healing, Nigar Karimli

Masters Theses & Specialist Projects

For this project, we use a modified version of a previously developed mathematical model, which describes the relationships among matrix metalloproteinases (MMPs), their tissue inhibitors (TIMPs), and extracellular matrix (ECM). Our ultimate goal is to quantify and understand differences in parameter estimates between patients in order to predict future responses and individualize treatment for each patient. By analyzing parameter confidence intervals and confidence and prediction intervals for the state variables, we develop a parameter space reduction algorithm that results in better future response predictions for each individual patient. Moreover, use of another subset selection method, namely Structured Covariance Analysis, that ...


Supervised Dimension Reduction For Large-Scale "Omics" Data With Censored Survival Outcomes Under Possible Non-Proportional Hazards, Lauren Spirko-Burns, Karthik Devarajan 2019 Temple University

Supervised Dimension Reduction For Large-Scale "Omics" Data With Censored Survival Outcomes Under Possible Non-Proportional Hazards, Lauren Spirko-Burns, Karthik Devarajan

COBRA Preprint Series

The past two decades have witnessed significant advances in high-throughput ``omics" technologies such as genomics, proteomics, metabolomics, transcriptomics and radiomics. These technologies have enabled simultaneous measurement of the expression levels of tens of thousands of features from individual patient samples and have generated enormous amounts of data that require analysis and interpretation. One specific area of interest has been in studying the relationship between these features and patient outcomes, such as overall and recurrence-free survival, with the goal of developing a predictive ``omics" profile. Large-scale studies often suffer from the presence of a large fraction of censored observations and potential ...


Breaking The Paradigm: Dr Insight Empowers Signature-Free, Enhanced Drug Repurposing, Jinyan Chan, Xuan Wang, Jacob A. Turner, Nicole E. Baldwin, Jinghua Gu 2019 Baylor Scott & White Research Institute

Breaking The Paradigm: Dr Insight Empowers Signature-Free, Enhanced Drug Repurposing, Jinyan Chan, Xuan Wang, Jacob A. Turner, Nicole E. Baldwin, Jinghua Gu

Faculty Publications

Motivation: Transcriptome-based computational drug repurposing has attracted considerable interest by bringing about faster and more cost-effective drug discovery. Nevertheless, key limitations of the current drug connectivity-mapping paradigm have been long overlooked, including the lack of effective means to determine optimal query gene signatures. Results: The novel approach Dr Insight implements a frame-breaking statistical model for the ‘hand-shake’ between disease and drug data. The genome-wide screening of concordantly expressed genes (CEGs) eliminates the need for subjective selection of query signatures, added to eliciting better proxy for potential disease-specific drug targets. Extensive comparisons on simulated and real cancer datasets have validated the ...


The Structural Connectome In Traumatic Brain Injury: A Meta-Analysis Of Graph Metrics [Accepted Manuscript], Phoebe Imms, Adam Clemente, Mark Cook, Wendyl D'Souza, Peter H. Wilson, Derek K. Jones, Karen Caeyenberghs 2019 Australian Catholic University

The Structural Connectome In Traumatic Brain Injury: A Meta-Analysis Of Graph Metrics [Accepted Manuscript], Phoebe Imms, Adam Clemente, Mark Cook, Wendyl D'Souza, Peter H. Wilson, Derek K. Jones, Karen Caeyenberghs

Faculty of Health Sciences Publications

Although recent structural connectivity studies of traumatic brain injury (TBI) have used graph theory to evaluate alterations in global integration and functional segregation, pooled analysis is needed to examine the robust patterns of change in graph metrics across studies. Following a systematic search, 15 studies met the inclusion criteria for review. Of these, ten studies were included in a random-effects meta-analysis of global graph metrics, and subgroup analyses examined the confounding effects of severity and time since injury. The meta-analysis revealed significantly higher values of normalised clustering coefficient (gö=ö1.445, CI=[0.512, 2.378], pö=ö0.002) and ...


A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch 2018 University of Richmond

A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Introducing The Fractional Differentiation For Clinical Data-Justified Prostate Cancer Modelling Under Iad Therapy, Ozlem Ozturk Mizrak 2018 Illinois State University

Introducing The Fractional Differentiation For Clinical Data-Justified Prostate Cancer Modelling Under Iad Therapy, Ozlem Ozturk Mizrak

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Vaccination Strategies And Herd Immunity Thresholds In Small World Models, Emily McClung, Sam Rivas, Emma Soriano, Caelan Thomas, Hannah Highlander 2018 University of Portland

Vaccination Strategies And Herd Immunity Thresholds In Small World Models, Emily Mcclung, Sam Rivas, Emma Soriano, Caelan Thomas, Hannah Highlander

Mathematics Undergraduate Publications, Presentations and Projects

Infectious diseases pose a serious threat to humans, plants, and animals. Though vaccines can help control outbreaks of infectious diseases, there is typically not enough vaccine available for the entire population. In this case, certain vaccination strategies can be employed to maximize the benefits for the entire population. Using results from graph theory and the simulation tool lONTW (Infections On NeTWorks), we investigated various vaccination strategies on certain types of so-called contact networks that model the patterns of interactions within a population. In particular, we focused on a certain class of contact networks known as small world models, where individuals ...


The Epidemiology Of Infective Endocarditis Among People Who Inject Drugs In London, Ontario., Brian Hallam 2018 The University of Western Ontario

The Epidemiology Of Infective Endocarditis Among People Who Inject Drugs In London, Ontario., Brian Hallam

Electronic Thesis and Dissertation Repository

Infective endocarditis is an infectious disease that affects the valves of the heart. Injection drug use is currently a leading risk factor among patients with endocarditis. We conducted a prospective study using data from hospital chart records among patients with endocarditis in London, Ontario, which has a relatively high prevalence of people who inject drugs to assess the severity of the issue and the major risk factors of mortality pertaining to this population. This study had a sample size of 353 and included a review of the incidence of admissions of endocarditis, as well as a survival analysis, using both ...


Bayesian Analytical Approaches For Metabolomics : A Novel Method For Molecular Structure-Informed Metabolite Interaction Modeling, A Novel Diagnostic Model For Differentiating Myocardial Infarction Type, And Approaches For Compound Identification Given Mass Spectrometry Data., Patrick J. Trainor 2018 University of Louisville

Bayesian Analytical Approaches For Metabolomics : A Novel Method For Molecular Structure-Informed Metabolite Interaction Modeling, A Novel Diagnostic Model For Differentiating Myocardial Infarction Type, And Approaches For Compound Identification Given Mass Spectrometry Data., Patrick J. Trainor

Electronic Theses and Dissertations

Metabolomics, the study of small molecules in biological systems, has enjoyed great success in enabling researchers to examine disease-associated metabolic dysregulation and has been utilized for the discovery biomarkers of disease and phenotypic states. In spite of recent technological advances in the analytical platforms utilized in metabolomics and the proliferation of tools for the analysis of metabolomics data, significant challenges in metabolomics data analyses remain. In this dissertation, we present three of these challenges and Bayesian methodological solutions for each. In the first part we develop a new methodology to serve a basis for making higher order inferences in metabolomics ...


Effect Of Study Design On Sample Size In Studies Intended To Evaluate Bioequivalence Of Inhaled Short-Acting Β-Agonist Formulations, Yaohui Zeng, Sachinkumar Singh, Kai Wang, Richard C Ahrens 2018 University of Iowa

Effect Of Study Design On Sample Size In Studies Intended To Evaluate Bioequivalence Of Inhaled Short-Acting Β-Agonist Formulations, Yaohui Zeng, Sachinkumar Singh, Kai Wang, Richard C Ahrens

Stead Family Department of Pediatrics Publications

Pharmacodynamic studies that use methacholine challenge to assess bioequivalence of generic and innovator albuterol formulations are generally designed per published Food and Drug Administration guidance, with 3 reference doses and 1 test dose (3-by-1 design). These studies are challenging and expensive to conduct, typically requiring large sample sizes. We proposed 14 modified study designs as alternatives to the Food and Drug Administration-recommended 3-by-1 design, hypothesizing that adding reference and/or test doses would reduce sample size and cost. We used Monte Carlo simulation to estimate sample size. Simulation inputs were selected based on published studies and our own experience with ...


Flexor Dysfunction Following Unilateral Transient Ischemic Brain Injury Is Associated With Impaired Locomotor Rhythmicity, Kiril Tuntevski 2018 West Virginia University

Flexor Dysfunction Following Unilateral Transient Ischemic Brain Injury Is Associated With Impaired Locomotor Rhythmicity, Kiril Tuntevski

Graduate Theses, Dissertations, and Problem Reports

Functional motor deficits in hemiplegia after stroke are predominately associated with flexor muscle impairments in animal models of ischemic brain injury, as well as in clinical findings. Rehabilitative interventions often employ various means of retraining a maladapted central pattern generator for locomotion. Yet, holistic modeling of the central pattern generator, as well as applications of such studies, are currently scarce. Most modeling studies rely on cellular neural models of the intrinsic spinal connectivity governing ipsilateral flexor-extensor, as well as contralateral coupling inherent in the spinal cord. Models that attempt to capture the general behavior of motor neuronal populations, as well ...


Cheating The Cheaters: Spatial Dynamics In The Evolutionary Stability Of Antibiotic Resistance, Devin Akman 2017 University of Illinois at Urbana-Champaign

Cheating The Cheaters: Spatial Dynamics In The Evolutionary Stability Of Antibiotic Resistance, Devin Akman

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


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