Sanjeev Kumar
Biography
Delivered several Invited Talks (30+) at various conferences and workshops in India and Abroad. More than 30 National and International conferences have been attended. More than 10 School/workshops attended in various fields of Math. and Comp. Science Delivered Invited Talks/Attended and presented work at international conferences (Abroad), especially in USA, Canada, Japan, Spain, South Africa, Brazil, Turkey, China, Russia, Hongkong, Oman, Philippines, Palestine, Thailand, Nepal etc.
1. Head, Department of Mathematics 2015-2018 (3 years)
2. Director, Institute of Engineering & Technology, 2009-2011 (2 Years)
3. Director, Community Radio, 2011-2020 (9 Years)
Research Interest
Department of Mathematics
Abstract
Mathematical models have various techniques for cancer therapy such as virotherapy, immunotherapy, chemotherapy, radiotherapy, drug and vaccine therapy and many other scientific solutions to analyze the dynamics of cancer cells. Mathematical models help to analyze the behavior of tumor and these mathematical models are designed by ordinary differential equations and solved by a system of equations. This system also includes the interaction between growing tumor cells and the host immune system help to understand the dynamics of tumor growth cells and cells in the immune system including natural killer cells, dendritic cells, and cytotoxic CD8+ T cells combined with drug and vaccine intervention to these cells. This model of a control function represents the application of natural killer cells combined with CD8+ T cell treatment to the system. The numerical solutions are obtained from Runge-Kutta’s 4th-ordered method. Some external terms are used that help to control tumor growth and these terms also help with drug and vaccine intervention. The graphical results help to analyze the cell’s growth, decreasing cells after adding external terms, and control by drug and vaccine.
