SIMC 2015

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http://hdl.handle.net/11071/3921
Conference Theme: Exploring Mathematics and its Applications

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Browsing SIMC 2015 by Author "Roy, Priti Kumar"

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    Effect of CD4+ T-Cells and CD8+ T-Cells on Psoriasis: a mathematical study
    (Strathmore University, 2015) Datta, Abhirup; Kesh, Dipak Kumar; Roy, Priti Kumar
    Psoriasis is a common chronic inflammatory skin disease that is differentiated by repeated occurrences of raised scaly and red skin plaques. It is generated through several applications of drugs, strains, physical wounds to the skin and also for infectivity. Psoriasis is identified by composite interactions of T-Cells, Dendritic Cells, Cytokines and downstream transcription factors (type 1 Cytokines network). The effects of T-Cells in dermal layer (CD4+ T-Cells) are well-studied in the disease dynamics of Psoriasis from mathematical as well as biological context. But the concept of T-Cells in epidermal layer (CD8+ T-Cells) for disease progression of Psori-asis has not yet been explored till now from mathematical avenue. Here we introduce both CD4+ and CD8+ T-Cell, Dendritic Cell and Keratinocyte population to notice the impact of them on immunopathogenic cell-biological mechanism of Psoriasis. Numerical simulation is also furnished to establish the analytical outcomes.
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    Renewable energy biodiesel: a mathematical approach from ecology to production
    (Strathmore University, 2015) Roy, Priti Kumar; Chowdhury, Jahangir; Basir, Fahad Al
    Biodiesel is one of promising renewable energy source and used as an alternative of conventional hydrocarbon fuels. Jatropha curcas plant oil (JCPO) is the most cost effective sources of biodiesel. The plant can be cultivated in wastelands and grows on almost any type of territory, even on sandy and saline soils. Judicious agricultural practices and effective crop management of Jatropha curcas is preliminary requisite to get maximum yield of oil. Production of biodiesel by transesterification of Jatropha oil significantly depends on four reaction parameters viz., reaction time, temperature, oil to alcohol molar ratio and stirrer speed. In this work, we have formulated a mathematical model of Jatropha curcas plant, which is affected by many type of pest with the aim to control the pest through Nuclear Polyhedrosis Virus (NPV). Here we have also concentrated on insecticide spraying as controlling measure to reduce the pest, to get maximum yield of Jatropha seeds, which gives Jatropha oil. We have also shown the effect of different variants on mass transfer in biodiesel production from JC oil and how the control theoretic approach flags the maximum production of biodiesel under the mathematical paradigm. Our analytical results provide an idea of the cost effective faster rate of biodiesel production, which satisfies our numerical conclusions.