Advanced Applications of Partial Differential Equations in Mathematical Biology
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: closed (31 October 2025) | Viewed by 528
Special Issue Editors
Interests: partial differential equations
Interests: soft tissue mechanics (constitutive modelling, constrained mixture theory); personalized cardiac modelling; fluid-structure interaction and machine learning-based surrogate models
Special Issue Information
Dear Colleagues,
Partial Differential Equations (PDEs) play a pivotal role in advancing our understanding of complex biological systems by providing a robust framework to describe spatial and temporal dynamics, with wide applications from cellular dynamics to organ-level mechanics. This Special Issue will focus on various applications of PDEs to important biological problems, highlighting novel mathematical models, cutting-edge computational methods, theoretical and analytical approaches, and the integrating of artificial intelligence. We invite researchers to submit original research work as well as review articles on the application of PDEs to mathematical biology. Potential topics include, but are not limited to, the following:
- Advances in mathematical models of various biological systems using partial/ordinary differential equations;
- Stability analysis, i.e. bifurcations, chaos, etc.;
- Multiscale and multiphysics large-scale modelling;
- Reduced-order models of complex physiological systems;
- Numerical methods for solving complex PDE systems;
- Integrating artificial intelligence with PDE, i.e., physics-informed neural networks.
Prof. Dr. Li Cai
Dr. Hao Gao
Guest Editors
Manuscript Submission Information
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Keywords
- mathematical biology
- stability analysis
- theoretical solution
- numerical methods
- artificial intelligence
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