Dynamical Analysis of the Ionic Flows Through Ion Channels Embedded in Cell Membrane (By Professor Zhang Lijun, Shandong University of Science and Technology)
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Seminar: Dynamical Analysis of the Ionic Flows Through Ion Channels Embedded in Cell Membrane |
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Date: |
11 Apr 2024 |
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Time: |
Seminar: 11:00 am -12:00 nn Consultation: 9:00 am -11:00 am |
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Language: |
Mandarin |
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Venue: |
D3-G/F-02 |
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Registration: |
Email to qsyin@eduhk.hk |
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Abstract: |
In this talk, the modeling of PNP system for ionic flow through the ion channels and dynamical analysis method based on geometric singular perturbation theory and asymptotic analysis are introduced. The advantage of applying the geometric singular perturbation method is not only to prove the existence and local uniqueness of the solution of the two-point boundary value problem for the PNP system, more importantly, it provides a method for the construction of multi-scale singular orbits that obtain asymptotic solutions of the model equations. One can examine the dynamical behavior of the ion flow through the ion channel using this constructed singular solution. The interplay between the physical quantities involved in the cell membrane, such as boundary concentration and potential, diffusion coefficient, fixed charge distribution, channel geometry, ion valence and ion size in the electron-diffusion process will be able to examined. |
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Speaker: |
Professor Zhang Lijun Department of Mathematics, Shandong University of Science and Technology |
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About the speaker: |
Dr. Zhang Lijun is a full Professor in the Department of Mathematics, Shandong University of Science and Technology. In 2008, she obtained a Ph.D. in Shanghai University. She has visited Lehigh University in the United States for one year, was funded by the Postdoctoral Fund of Northwest University in South Africa for three years. Andshe was invited to visit many famous foreign universities and research centers such as Moscow University, Samara University, African Institute of Mathematics, Yildiz University of Technology and Haran University in Turkey for a short period of time. Her research interests include dynamical system, bifurcation and chaos, differential equations (including ODE, PDE, IDE), traveling wave solutions to nonlinear wave equations; symmetries and conservation laws, group classification; application of singular perturbation theory to ion channel. She has published more than 80 articles that appear in international academic journals. She has been the PI for four national natural science projects. In 2015, she won the second prize of the first National College Mathematics Micro-course Teaching Design Competition. |
