学术空间

数学与统计及交叉学科前沿论坛------高端学术讲座第114场

报告题目Cervical Cancer and Its Possible Control through Mathematics

报告人Priti Kumar Roy 教授

报告时间530日(周下午230330

报告地点:综合楼1116会议室

主办:ld乐动体育官方网站(中国)_NO.1

报告摘要:

Globally cervical cancer is the second most common cancer in females and it is a major cause of death now a days. The development of cervical cancer cells from normal cells is caused by Human Papilloma Virus (HPV). Human papillomavirus (HPV) infection is responsible for a large segment of cervical cancers in women. Over 90% of cervical cancers are caused by high risk HPV infections and its long term exposure can lead to develop Cancer. Complete cure to this epidemiological problem is yet to achieve. We formulate different mathematical models to study the causal effects of the disease and how application of therapeutic drugs can slow down the progression of cancer cell. Dendritic cells (DC) play a crucial role in controlling the cervical cancer by enhancing the activity of Cytotoxic T-Lymphocytes (CTL). CTL kills the infected cells and helps to prevent the cervical cancer. How we could restrict the cancer development by enhancing CTL cells through interaction with DCs that is being reflected in our work. We also introduce a control strategy through impulsive drug treatment to study the effect of chemotherapy and the CTL activator to eradicate the cervical cancer more rapidly. Furthermore, in our another model we consider that the disease transmission rate from precancerous to ancerous cells, governed by a response function f(P) according to the risk and our cell immunity power which is dependent on the antibody genes p53 and pRb. We have considered f(P) as three types of functions linear, Holling type II, and Holling type III. Our finding reveals that some control strategies on the Holling type III functional response based on two types of drugs can make better eradication for the infected and cancer cell populations. Lastly we have tried to explore from analysis of a deterministic model that, using drug complete eradication of the cancer cell is not to be achieved. Thus for the complete cure of the disease, stochastic process plays a crucial role for estimating the expected time to extinction of the cancer cell population in analytical sense. In this context the infected cells, Cancer cells, and Cytotoxic T-Lymphocytes are modeled as individuals in the stochastic system. We have studied an approximation of the cellular densities which is derived in favor of quasi-stationary distribution along with the expected time to extinction of the cancer cells that ultimately leads to cure HPV in the long term process. Numerical simulations show that our model is capable of capturing the observed experimental results.

报告人简介

Dr. Priti Kumar Roy is Professor of Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University. He obtained his Doctoral degree from Jadavpur University

He is researching on epidemiological issues on the chronic infectious disease like HIV, Leprosy, and Cutaneous Leishmaniasis etc. Dr. Roy also works on the neglected tropical disease like Psoriasis and had formulated robust models on the dynamics of such disease. Under his mathematical expertise he has proven the application of mathematical experimentations to provide novel solutions to mitigate the disease. He has published significant publications on Control Therapeutic Approach and Host Pathogen Interactions on infectious as well as noninfectious disease to produce new insights on the subjects.

He is also proficient in modeling serious issues on Ecological & Industrial mathematics like Enzyme Kinematics, Biodiesel Production etc. In his publications he has significantly contributed to boost

the production of the biodiesel from Jatropha and also laid down sound ecological premises to enhance the production through ecological controls applied to agro-management.