Department of Mathematics

Calling New Applications - 2024 Academic Year - Bachelor of Science General (External) Degree Program

Are you ready to advance your education? 🎓

Take the next step in your academic journey with the BSc External Degree program with areas of emphasis in Computer Science, Statistics, Information Technology, Mathematics, and Data Science

✅ Eligibility:
• G.C.E. Advanced Level Examination with three passes, including Combined Mathematics as a subject.

📄 Program Details:
• Duration: 3-year degree program (combining lectures, seminars, and virtual/physical sessions)
• Commencement : May 2025 (3rd Batch)
• ⁠Conducted by : Internal academic staff of the University
• ⁠Lecture Materials: All lecture materials, including recordings, are uploaded to the online learning management system for easy access.
• ⁠Flexible Schedule: Lectures are conducted on weekends and after 7 pm on weekdays, making it easy to join while balancing your job or other commitments.

📌Course Structure:

Applied Mathematics
• Computer Science
• ⁠Pure Mathematics
• ⁠Statistics

💡 Key Features:
• Flexible learning options to suit your schedule
• Easy payment plans: Total course fee: LKR 300,000/- (payable in 6 installments)
- First Installment: LKR 50,000.00

📞 For More Information:
Coordinator: Prof. D.D.M. Jayasundara
Email: This email address is being protected from spambots. You need JavaScript enabled to view it.
Phone: 011-2903301/377

Don’t miss out on this exciting opportunity to further your education and open doors to countless career possibilities. Start your new journey with us!

Apply Now https://cdce.kln.ac.lk/index.php/registration/apply-now

Workshop on Career Readiness

An enlightening Workshop on Career Readiness, organized by the Department of Mathematics, University of Kelaniya, in collaboration with the Alumni of the Faculty of Science (Batch 2005/2006), was successfully held on the 21^st of November 2024 at A7 406, Faculty of Science, empowering students to take the next step towards their professional journeys.

This workshop allowed students to gain valuable insights and tips on preparing for the professional world and covered essential aspects of career development.

Mr. Lakmal Silva, Lead of Application Development, Perituza Lanka Pvt Ltd; Mr. Dharshana Abayaweera, Director of GPMO R&D, Ansell Lanka Pvt Ltd.; Mr. Thushara Madhusanka, Senior Manager of Health, Safety & Quality Systems, Jaykay Marketing Services (Pvt) Ltd. (Keells Supermarkets); Ms. Kushina Hiripitiyage, Procurement Manager of Unilever Sri Lanka Ltd.; and Ms. Hansika Dissanayake, Customer Success Manager of BlueChip Technical Services, joined the resource panel.

The workshop witnessed the participation of the staff members of the department and more than 200 students.

Session: Literature Survey and Documentation

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.

Session: Fundamentals in Research

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.

Financial Aid Scholarship for TOEFL / IELTS and GRE – 2024/2025

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

Modeling Bleb-Based Chemotaxis in Confined Eukaryotic Cells

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.

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