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Articles 1 - 8 of 8
Full-Text Articles in Medicine and Health Sciences
Modeling An Infection Outbreak With Quarantine: The Sibkr Model, Mikenna Dew, Amanda Langosch, Theadora Baker-Wallerstein
Modeling An Infection Outbreak With Quarantine: The Sibkr Model, Mikenna Dew, Amanda Langosch, Theadora Baker-Wallerstein
Rose-Hulman Undergraduate Mathematics Journal
Influenza is a respiratory infection that places a substantial burden in the world population each year. In this project, we study and interpret a data set from a flu outbreak in a British boarding school in 1978 with mathematical modeling. First, we propose a generalization of the SIR model based on the quarantine measure in place and establish the long-time behavior of the model. By analyzing the model mathematically, we determine the analytic formulas of the basic reproduction number, the long-time limit of solutions, and the maximum number of infection population. Moreover, we estimate the parameters of the model based …
An Investigation Of The Biomechanics Of Kinesiology Tape, Jessa Ward
An Investigation Of The Biomechanics Of Kinesiology Tape, Jessa Ward
Graduate Theses - Biology & Biomedical Engineering
Kinesiology tape has grown in popularity since its widespread use at the 2012 and 2016 Olympic Games. Manufacturers of these colorful tapes have advertised biomechanical benefits for athletes, including pain relief and muscle support, without much quantitative evidence to support these claims. The purpose of this research study was to evaluate the biomechanical aspects of kinesiology tape and how it affects subjects’ muscle activity. This research study evaluated the muscle activity of subjects’ low back before and after tape application during targeted, bodyweight exercises. Each subject’s muscle activity, measured through electromyography (EMG), was normalized and assessed using nonparametric statistical techniques. …
Equilibrium Testing Of Rat Tail Tendon: An Analysis Of The Viscoelastic Properties Of Collagen Under Different Strain Points, Joshua C. Witt
Equilibrium Testing Of Rat Tail Tendon: An Analysis Of The Viscoelastic Properties Of Collagen Under Different Strain Points, Joshua C. Witt
Graduate Theses - Biology & Biomedical Engineering
Instantaneous tensile testing and stress-relaxation testing are forms of mechanical testing used to determine the elastic and viscoelastic properties of biological tissue. Equilibrium testing is a form of testing that combines both of these testing approaches at different strain points to determine the elastic properties of a material and also assess their viscoelastic properties in the same test. This testing method is commonly used on highly viscoelastic materials such as cartilage but has never been fully described in dense collagenous materials such as tendon or ligament. This analysis utilizes different strain points selected to capture the classic non-linear behavior of …
An Investigation Of The Relationship Between Plantar Weight Distribution And The Condition Of Osteoarthritic Knees During Quiet Standing, Brian Joseph Sutterer
An Investigation Of The Relationship Between Plantar Weight Distribution And The Condition Of Osteoarthritic Knees During Quiet Standing, Brian Joseph Sutterer
Graduate Theses - Biology & Biomedical Engineering
Osteoarthritis (OA) is a damaging disease that commonly affects the knee and can impact function of the lower limb. This study examined how plantar weight distribution is related to the changes in knee alignment and various types of joint damage in patients with OA. A force mat was used to measure plantar weight distribution on 37 patients with knee OA, and the internal condition of the knee was evaluated during surgery. Analysis showed a relationship between medial plantar weight distribution and an increase in knee alignment angle (0.20, p < 0.001). For the damage models, an indirect relationship was found between medial weight distribution and ACL damage (-0.14, p=0.029). No relationship was found for the other types of OA damage. It is reasonable to believe they do exist, however. This study found a connection between weight distribution and alignment, and previous research has shown one between alignment and OA.
Operations Research Methods For Optimization In Radiation Oncology, M Ehrgott, Allen Holder
Operations Research Methods For Optimization In Radiation Oncology, M Ehrgott, Allen Holder
Mathematical Sciences Technical Reports (MSTR)
Operations Research has a successful tradition of applying mathematical analysis to a wide range of applications, with one of the burgeoning areas of growth being in medical physics. The original application was in the optimal design of the influence map for a radiotherapy treatment, a problem that has continued to receive attention. However, operations research has been applied to other clinical problems like patient scheduling, vault design, and image alignment. The overriding theme of this article is to present how techniques in operations research apply to clinical problems, which we accomplish in three parts. First, we present the perspective from …
A Clustering Approach For Optimizing Beam Angles In Imrt Planning, Gino J. Lim, Allen Holder, Josh Reese
A Clustering Approach For Optimizing Beam Angles In Imrt Planning, Gino J. Lim, Allen Holder, Josh Reese
Mathematical Sciences Technical Reports (MSTR)
In this paper we introduce a p-median problem based clustering heuristic for selecting efficient beam angles for intensity-modulated radiation therapy. The essence of the method described here is the clustering of beam angles according to probability that an angle will be observed in the final solution and similarities among different angles and the selection of a representative angle from each of the p resulting cluster cells. We conduct experiments using several combinations of modeling parameters to find the conditions where the heuristic best performs. We found a combination of such parameters that outperformed all other parameters on three of the …
Radiotherapy Optimal Design: An Academic Radiotherapy Treatment Design System, R Acosta, W Brick, A Hanna, Allen Holder, D Lara, G Mcquillen, D Nevin, P Uhlig, B Salter
Radiotherapy Optimal Design: An Academic Radiotherapy Treatment Design System, R Acosta, W Brick, A Hanna, Allen Holder, D Lara, G Mcquillen, D Nevin, P Uhlig, B Salter
Mathematical Sciences Technical Reports (MSTR)
Optimally designing radiotherapy and radiosurgery treatments to increase the likelihood of a successful recovery from cancer is an important application of operations research. Researchers have been hindered by the lack of academic software that supports head-to-head comparisons of different techniques, and this article addresses the inherent difficulties of designing and implementing an academic treatment planning system. In particular, this article details the algorithms and the software design of Radiotherapy optimAl Design (RAD).
Tracking Plasma Lactate Concentration In Vivo With A Catheter-Tip L-Lactate Sensor, Brett T. Weinzapfel, Mark D. Ball, Lee R. Waite, Nacer E. Abrouk, Shun P. Lim
Tracking Plasma Lactate Concentration In Vivo With A Catheter-Tip L-Lactate Sensor, Brett T. Weinzapfel, Mark D. Ball, Lee R. Waite, Nacer E. Abrouk, Shun P. Lim
Mathematical Sciences Technical Reports (MSTR)
To circumvent the problems of repeated blood sampling for in vitro analysis, a catheter-tip L-lactate sensor has been developed. The sensor was tested in anesthetized pigs (n=6). The sensor in vivo tracked the lactate concentration non-linearly, seeming to obey Michaelis-Menten kinetics. Calibration time was short, typically 1.5 min per lactate standard. Furthermore, time drift was small, typically -1.3% to -3.3% per hour of in vivo use.