Computer Science Guest Speaker Series - Mathematical modelling of driven diffusive transport processes: Analyses and simulations

Event Date: 
Friday, September 16, 2022 - 11:30am to 1:00pm EDT
Event Location: 
Event Contact Name: 
Rachael Wang
Event Contact E-mail: 

Guest Speaker Series Presented By:

Dr. Akriti Jindal
"Mathematical modelling of driven diffusive transport processes: Analyses and simulations"

Friday, September 16, 2022
11:30 am

Transport is a universal phenomenon that has been perceived in physical and biological processes ranging from intracellular transport to ant trails and vehicular flow. The movement of motile elements is triggered by actively converting some other forms of energy into mechanical energy. A predominant class of models that received a paradigmatic status to study the nonequilibrium stochastic transport mechanisms is Totally Asymmetric Simple Exclusion Process (TASEP). The analyses of the collective dynamics of such systems are done using Mean-field theories and Monte Carlo simulations.

In this talk, I will present a TASEP model motivated by the extensive organisation of interconnected linelike pathways for transport mechanisms that forms a network-like structure. Furthermore, this structure is coupled to a finite pool of particles that restricts the number of particles in the overall system. The results will allow us to address analytically how the particles compete on these intersecting pathways and leads to jam situation on filaments. I will mainly discuss about two important phenomenon occurring in the system 1) Symmetry Breaking 2) Shock Dynamics.

Dr. Akriti Jindal received her Ph.D. in Mathematics from Indian Institute of Technology, Ropar in December 2021. During Ph.D., she worked on Mathematical modelling and computational analysis of various Non-Equilibrium transport processes. She has eight publications in reputed peer reviewed international journals. Before that, in 2016 she completed her Master’s degree Mathematics and Computing from Thapar Institute of Engineering and Technology. For her sustained excellence during two years of Masters, she was awarded a Gold Medal. Now, she has currently joined Lakehead University, Thunder Bay, ON as a Post-Doctoral fellow in Computer Science Department. She will be working with Dr. Vijay Mago on Computational Linguistics that reasonably requires well-defined mathematical framework to provide a theoretical basis for various computational techniques and algorithms to evaluate semantic measures.

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Everyone is welcome.