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Archive : Applied Mathematics and Mathematical Medicine and Biology Seminar

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Dr Bruce Boman, Helen F. Graham Cancer Center and Christiana Health Care SystemsDr Bruce Boman, Helen F. Graham Cancer Center and Christiana Health Care SystemsEwing 336Title: Mathematical Modeling of the Dynamic Organization of Cells in Tissues <br></br> Abstract: Our goal is to identify and apply the fundamental mathematical laws and biological rules associated with the emergence of complex properties in biological systems. The precision and maintenance of tissue organization in living organisms suggests the existence of underlying general principles (“rules”) across the range of all multicellular organisms. We have been using mathematical modeling to explain how living organisms maintain themselves in a highly ordered state despite persistent turnover of cells in their tissues. The discovery of the “biological rules for tissue organization” will not only help us understand how the phenotype of an organism is encoded by its genetic makeup but also how tissue pathology (such as cancer) arises from genetic alterations. This work is in collaboration with Drs Christopher Raymond and Gilberto Schleiniger. 2/14/2018 4:15:00 PM2/14/2018 5:15:00 PMFalse
(Postponed until Spring Semester) Ms Lan Zhong, Mathematical Sciences, UD(Postponed until Spring Semester) Ms Lan Zhong, Mathematical Sciences, UDEWG336Title: Dynamics of Tear Breakup and Its Imaging Abstract: TBA 11/29/2017 7:30:00 PM11/29/2017 8:30:00 PMFalse
Dr Ashutosh Khandha, Delaware Rehabilitation Institute, UD Dr Ashutosh Khandha, Delaware Rehabilitation Institute, UD Ewing 336Title: Knee biomechanical and biochemical variables early after anterior cruciate ligament reconstruction - mathematical modeling and experimentation. <br></br> <p>Abstract: Premature knee osteoarthritis (OA) after anterior cruciate ligament reconstruction (ACLR) is a growing concern in a young population. 30 % of subjects with ACLR have radiographic knee OA 5 years after surgery. Using experimental gait analysis and electromyography-informed mathematical neuromusculoskeletal modeling, we have seen that those with OA at 5 years can show inter-limb differences in “biomechanical” knee gait variables (joint loading and kinematics) as early as 6 months after surgery. Also, quantitative magnetic resonance imaging (qMRI) has the potential to detect “biochemical” OA related changes in the knee cartilage, earlier than radiographs. High values of cartilage T2 relaxation time, a qMRI time constant, can indicate early OA onset changes (collagen matrix degradation). Currently, it is not known whether both inter-limb differences in knee gait variables as well as cartilage T2 values are present as early as 3 months after ACLR. As the first step of a longitudinal study, we investigated these biomechanical and biochemical variables in 15 subjects, at both 3 and 6 months after ACLR. The overall goal of the study is to evaluate the changes in these variables over time (up to 2 years after ACLR) and to evaluate how soon can OA related changes be detected. The sooner the detection, the greater the potential for intervention to delay OA progression. </p>11/15/2017 7:30:00 PM11/15/2017 8:30:00 PMFalse
Andrew Bernoff, Mathematics, Harvey MuddAndrew Bernoff, Mathematics, Harvey MuddEWG 336Title: Energy driven pattern formation in thin fluid layers: The good, the bad and the beautiful <br></br> Abstract: A wide variety of physical and biological systems can be described as continuum limits of interacting particles. Many of these problems are gradient flows and their dynamics are governed by a monotonically decreasing interaction energy that is often non-local in nature. We show how to exploit these energies numerically, analytically, and asymptotically to characterize the observed behavior. We describe three such systems. In the first, a Langmuir layer, line tension (the two-dimensional analog of surface tension) drives the fluid domains to become circular and the rate of relaxation to these circular domains can be used to deduce the magnitude of the line tension forces. In the second, a Hele-Shaw problem, vexing changes in topology are observed. The third system models the formation of the convoluted fingered domains observed experimentally in ferrofluids for which pattern formation is driven by line tension and dipole-dipole repulsion. We show that noise in this system plays an unexpected but essential role and deduce an algorithm for extracting the dipole strength using only a shape's perimeter and morphology.10/18/2017 6:30:00 PM10/18/2017 7:20:00 PMFalse

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