Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission

PRITI KUMAR ROY, PhD, is associate professor at the Department of Mathematics, Jadavpur University, Kolkata. His research interests are in epidemiological issues on the chronic infectious disease such as HIV, cutaneous leishmaniasis and filariasis. Dr. Roy also works on the neglected tropical disease like Psoriasis and has formulated robust mathematical 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 is proficient in modelling serious issues on ecological and industrial mathematics like enzyme kinematics and biodiesel production. In his publications, he has significantly contributed to boost the production of the biodiesel from Jatropha curcas plants and also down sound ecological premises to enhance the production through ecological controls that is well-applied to agro-management. He has published a significant number of publications on control therapeutic approaches and hostpathogen interactions on infectious as well as non-infectious diseases to enlighten new insights on the subjects. With over 75 peer reviewed research papers, Dr. Roy is a dedicated researcher in mathematical modelling and an expertise in numerical and analytical solutions to complex problems on real-life system dynamics. He has edited two books including Insight and Control of Infectious Disease in Global Scenario (by Intech Publishers). Three students obtained their doctoral degrees, three other scholars are waiting to obtain their doctoral degrees and eight Ph.D. students are perusing their research works under his esteemed guidance. Dr. Roy is a renowned reviewer for various international journals of repute. He has served several government colleges in different parts of West Bengal, India at different times. He also delivered so many invited lectures at various foreign and Indian universities and institutes. He is an eminent member of several national and international societies like Biomathematical Society of India (BMSI), International Association of Engineers (IAENG), European Society of Clinical Microbiology and Infectious Diseases (ESCMID) and European Society for Mathematical and Theoretical Biology (ESMTB). He has completed six research projects as principal investigator, sponsored by various Government of India funding agencies. Dr. Roy has received the Best Paper Award at the World Congress on Engineering 2010 held in London. He was selected as an Indian Scientist under International Collaboration/Exchange Program 2011–2012 by INSA. He was  awarded with “Siksha Ratan” award in 2012.p>

Chapter 1. Introduction.- Part I: Dynamics of Immune System against HIV.- Chapter 2. Role of CTL in Restricting Virus.- Chapter 3. T Cell Proliferation.- Chapter 4. Feedback Effect towards HIV Infection.- Part II: Control based Therapeutic Approach.- Chapter 5. Insight of Delay Dynamics.- Chapter 6. Optimal Control Theory.- Chapter 7. Perfect Drug Adherence.- Chapter 8. Mathematical Model in Stochastic Approach.