News

Previous Next

The Department of Mathematics at the University of Kelaniya proudly launched its second session of the Research Methodology course on November 12, 2024.

Dr. Manjula Wijewickrema is a scholar in the field of Library and Information Science, currently serving as a Senior Assistant Librarian at Sabaragamuwa University of Sri Lanka, led the session Literature Survey and Documentation.

He earned his Dr. phil. from Humboldt University of Berlin, Germany, where his research focused on developing journal recommenders based on supervised learning. Additionally, Dr. Wijewickrema holds a Master’s Degree from the University of Colombo and a Bachelor’s Degree from the University of Ruhuna, further enhancing his expertise in the field.

Previous Next

The Department of Mathematics at the University of Kelaniya proudly launched its first session of the Research Methodology course on November 5, 2024. This course is open to honors degree students, with an option for general degree students to enroll as a certificate course.

Dr. (Mrs.) K.K.K.R. Perera, a distinguished scholar with an MSc in Information Technology from the University of Colombo and a Ph.D. in Mathematics from Kyushu University, Japan, led the session. She shared her expertise on Fundamentals in Research, covering essential concepts that serve as a foundation for students in academic and professional research.

Held in the Faculty Board Room, this insightful session set a strong start for the course, engaging students in critical discussions and sparking curiosity about the world of research.

The award is given annually.
Eligibility Criteria: An applicant should meet the following by the time of applying.
• Honors Degree in Mathematics with first-class or second-class upper division.
• Currently serving in the Department of Mathematics.
• Sufficient scores in TOEFL/IELTS and GRE with secured placement in a foreign university.
Guidelines:
• The award will reimburse payments to TOEFL/IELTS and GRE.
• Applications can be submitted from March 25th - April 8th of the respective year after obtaining the required scores and placement.
• Eligible applicants will be interviewed via phone.
• Should there be no candidate for sufficient merit, the prize will not be awarded.
• The decision will be announced by the Head of Department after the allowed time frame.
Selection procedure:
• One or more candidates will be chosen by considering the above eligibility criteria and based on the availability of funds.


Department of Mathematics
Faculty of Science
University of Kelaniya

Previous Next

Abstract: 
Eukaryotic cells, such as cancer and immune cells, migrate using either pressure-driven blebs or actin polymerization driven pseudopods and lamellipodia, with cells preferring to bleb in confined environments where high forces are required for movement. Blebbing involves a detachment of the cell membrane from the cortex and its expansion and stabilization into a spherical cap with the formation of a new cortex beneath the protruded membrane. While actin-based motility is well studied, the mechanochemical regulators of bleb-based motility are not well understood. Membrane-cortex linker proteins are known to direct blebs to the
front of the cell where linker density is low, suggesting that blebbing is inversely proportional to linker density. However, recent experiments show that cells with weak membrane-cortex linkers produce smaller and fewer blebs. Additionally, it is unclear how cells coordinate bleb expansion with rear retraction to maintain experimentally determined speeds, and the role cell- substrate adhesion plays in this process. In this work, we develop a mathematical model to
explore these mechanisms. Our model treats the cell as a viscous fluid encased in a viscoelastic boundary, where the intricate dynamics of linker proteins, adhesion proteins and the cell’s chemotactic machinery facilitate bleb-based migration. Simulations suggest that linker proteins help to maintain intracellular pressure which explains why weaker linkers lead to smaller blebs. We also demonstrate that the timescale of bleb stabilization is critical for normal bleb
size and that cell substrate adhesion needs to be below 0.04 nNμm−1 in order for cells to maintain known blebbing speeds. Finally, our modeling framework permits a level set formulation to ease the computational burden of simulating bleb-based chemotaxis in three-dimensional environments.
 
Profile:
Dr Dinuka Sewwanndi completed her BSc Honours Degree in Mathematics at the University of Kelaniya in 2016, and then she joined the Department of Mathematics as a probationary lecturer. She obtained her master’s degree from Western Illinois University. After completing her master's, she enrolled as a PhD student at Clarkson University, Potsdam, New York (Fall 2019- Spring 2024). Her research interests and PhD studies are related to Biomathematics and mathematical modelling.
Previous Next

Abstract: 
Fuzzy integrated machine learning combines fuzzy theory with machine learning models to enhance performance in data analysis. Fuzzy theory addresses uncertainty in data, making this combination particularly useful for complex problems or situations where data is incomplete or imprecise.
 
Profile:
Asst. Prof. Mahinda graduated from University of Ruhuna holding B.Sc. Hons degree in Mathematics 2015. He completed his Master’s degree in Computational Engineering at LUT University in 2018 and his Doctor of Science degree in Economics and Business Administration (Major: Business Analytics) in 2022. Thereafter, he began working as a postdoctoral researcher. Currently, Mahinda is an Assistant Professor (Tenure) at Business School (Business Analytics team), LUT University. His research interests include data mining, applied machine learning, fuzzy systems, fuzzy qualitative comparative analysis, and applications in Business and Management (and also other areas).
Previous Next

Profile:

Assistant Professor Greg Churchill holds a bachelor's degree in mathematics from the University of South Florida as well as a MA and PhD in pure and applied mathematics. He is currently working as an Assistant professor in Mathematics,
at OSWEGO, State University of New York, USA.

He researched a hypergraph generalization of separation systems for his doctoral dissertation. Regarding current research, Prof. Churchill mostly focuses on the different areas in discrete mathematics, such as extremal combinatorics, extremal parameters for some interesting families of sets, like a Sperner family or an intersecting family and combinatorial problems which have a graph theoretic interpretation, like Ramsey Theory or separating systems to mention but few which produced several international publications.    

Subcategories

Page 1 of 7

© 2024 Department of Mathematics, Faculty of Science, University of Kelaniya, Sri Lanka. All Rights Reserved.