Engaging the Faculty of Mathematics

Tuesday, November 12, 2019

Nanotechnology greatly benefits from mathematical disciplines such as data science, informatics and computational modeling, assisting with theoretical and experimental approaches to designing materials with novel physical and chemical characteristics, optimizing device design, and predicting behaviour of complex biological-pharmaceutical systems.

WIN is proud to have three outstanding researchers from the Faculty of Mathematics as part of its membership, including Professor Zoran Miskovic (WIN member since 2008), and most recently Professors Anita Layton and Mohammad Kohandel, each from the Department of Applied Mathematics.

Zoran MiskovicProfessor Zoran Miskovic’s group focuses on mathematical modeling and computer simulation of physical processes in nano-sized structures interacting with surrounding materials and external probes. The group’s work has recently evolved in two main directions: nano-photonics and nano-plasmonics, and electrochemistry. In the first domain, Professor Miskovic explores the excitation of plasmon and phonon polaritons, as well as transition radiation, induced by the response of two-dimensional materials (such as graphene) to fast charged particles. This work is of interest for applications for a new generation of particle detectors, novel sources of terahertz radiation, and electron microscopy of plasmonic metasurfaces, among others. In the second domain, Professor Miskovic explores the role of the quantum capacitance of a graphene electrode when interfaced with an aqueous solution or an ionic liquid. This work develops the macroscopic and microscopic physics of graphene-based field-effect transistors to provide the theoretical framework for the advancement of graphene-based biochemical sensors, nanoporous supercapacitors, and more.

Anita LaytonIn 2018, Professor Anita Layton was named Canada 150 Research Chair for her work in mathematical biology and medicine, with $350,000 per year for seven years to support research on mathematical and computational modelling of blood flow dynamics and kidney function. Her work is at the interface of applied mathematics, computation, and biological science, which has directly and positively impacted clinical healthcare. 

Mohammad Kohandel
Professor Mohammad Kohandel has also contributed a great deal to the field of mathematical modelling in cancer biology. His group utilizes analytical and computational approaches to study cancer heterogeneity and plasticity both of which are thought to be complicating factors in treatment. Heterogeneity, or how cancer tumours are made of several different types of cells, and plasticity – when stems cells in the tumour change, make it very difficult to treat and often the cancer become resilient and continues to grow. Professor Kohandel also works on the development and application of quantum nanosensors for biomedical applications. A particular application is cancer biology, where quantum nanosensors are used to monitor the outcome of chemotherapy immediately after drug administration.

Professor Kohandel also investigates tumour microenvironments and the vascular network to determine new potential cancer treatments. Cancer cells can ‘hi-jack’ healthy blood vessels to create its own nutrient supply to grow, and insights into these mechanisms can improve treatment options to address these factors, such as combination therapies, trans-dermal treatments, and novel nanoparticlebased drug delivery for chemotherapies.

For more stories like this one, please see our 2018-2019 Annual Report