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[CT186]

Session Date & Time : 5C (Aug.25, 13:20-15:00)
Type : Contributed Talk
Abstract : Presence of clue cells is a critical criterion for diagnosis of bacterial vaginosis. We propose a coupled active contour model for segmenting the clue cells from immunofluorescence microscope images of the samples. It enables jointly segmenting the boundaries of the epithelial cell, its nucleus, and distinct bacteria. Convexification is formulated on top of the levelset framework using characteristic functions. Our approach provides a global optimal solution. Efficacy of the method is demonstrated on clinical data.
Classification : 92C55, 92C50, 49N99, 90C25
Author(s) :
- Yongjian Yu (Axon Connected, LLC)
- Jue Wang (Union College)

Session Date & Time : 5C (Aug.25, 13:20-15:00)
Type : Contributed Talk
Abstract : In this talk, I present a mathematical analysis and explore an optimal control problem for rape dynamics in terms of Caputo fractional derivative. The parameter estimation and data fitting of a mathematical model are accomplished using the Trust-Region-Reflective algorithm in MATLAB. Actual data from rape cases that were reported in Amsterdam, Denmark, Scotland, and Sweden are used for the case study. We used optimal controls such as awareness of the surroundings, supporting of a victim, sexual education or counseling on potential rapists, and severe punishment on rapists to understand the impact of optimal controls on the dynamics of rape. Several graphs are plotted to investigate the role of fractional-order values and to analyze the practical impact of proposed controls. The main novel aspects of this study are the data-based parameter estimation for Amsterdam, Denmark, Scotland, and Sweden as well as the mathematical model of rape against women in terms of a set of nonlinear fractional differential equations containing the memory term in the system that shows how this rape might be controlled.
Classification : 92C60, 26A33, 34C60, 92D30
Author(s) :
- Govindaraj Venkatesan (National Institute of Technology Puducherry)

Session Date & Time : 5C (Aug.25, 13:20-15:00)
Type : Contributed Talk
Abstract : Tumor-associated neutrophils (TANs) have been under discussion for their dual role on tumor microenvironment, but they are emerging as important agents in tumor invasion. In this study, we divided TANs into two different phenotypes: N1 TANs, the anti-tumor neutrophils and N2 TANs, the tumorigenic neutrophils. We developed a mathematical model to investigate the dynamics of tumor growth between different TANs and responses to various stimuli, and finally to build simulations for brain tumor treatment.
Classification : 92C99, 35Q92, 37N25, Mathematical oncology
Author(s) :
- Haneol Cho (Konkuk university)
- Yangjin Kim (Konkuk university)
- Junho Lee (Konkuk university)

Session Date & Time : 5C (Aug.25, 13:20-15:00)
Type : Contributed Talk
Abstract : A mathematical model is developed for the analysis of the role of adipokines at the level of the hypothalamic-pituitary-testicular (HPT) axis and testosterone biosynthesis. Adipokines have an endocrine effect on the reproductive tissues and modulate fertility potential. We provide a mathematical model based on differential equations that improve earlier theoretical and experimental investigations. We also analyze the decline in testosterone production and fertility potential with age. The analytical solution is also accompanied by experimental data on male mice.
Classification : 92Cxx, 92C10, 91-10, 92C75
Author(s) :
- Dr. SANGEETA MAURYA (Delhi University Delhi)
- Jagdish Prasad Maurya (Rajiv Gandhi University )