Advances in Mathematical Biology and Medicine: Modeling, Analysis, and Numerical Solutions

The intersection of mathematics with biological sciences continues to reveal significant insights into complex biological phenomena, laying the groundwork for the emerging fields of mathematical biology and medicine. This synergy has become critical, especially in the development of realistic biomedic and epidemiological models driven by mathematical principles ranging from network models to differential equations. Advances achieved in these fields are showcased annually at events like the 2nd Mathematical Biology and Medicine Workshop, highlighting the continual evolution and application of these models in addressing real-world biological and medical challenges.

This Research Topic aims to present recent advances in the mathematical modeling of biological systems, including detailed epidemiological models and cellular signaling networks, alongside the analysis of these models for pattern formation. Moreover, it seeks to explore the broad applications of numerical solutions to various forms of differential equations such as ordinary, fractional, partial, stochastic, and delay differential equations, emphasizing the role of optimal control and agent-based models.

To gather further insights into the expansive domain of mathematical biology and medicine, we welcome articles addressing, but not limited to, the following themes:

- Development and application of continuum models in biology and medicine
- Innovative numerical methods for solving differential equations in healthcare models
- Analysis of pattern formation in biological phenomena
- Optimal control strategies for dynamic biological systems
- Agent-based modeling and its implications in epidemiology and pharmacokinetics
- Interdisciplinary approaches combining mathematical theories with biological insights

This research endeavor seeks contributions from researchers, scientists, and graduate students, fostering an enriching exchange of ideas and advancing the boundaries of knowledge in these critical scientific domains.

Article types and fees

This Research Topic accepts the following article types, unless otherwise specified in the Research Topic description:

• Brief Research Report
• Community Case Study
• Conceptual Analysis
• Curriculum, Instruction, and Pedagogy
• Data Report
• Editorial
• FAIR² Data
• FAIR² DATA Direct Submission
• General Commentary
• ... View all formats

Articles that are accepted for publication by our external editors following rigorous peer review incur a publishing fee charged to Authors, institutions, or funders.

Article types

This Research Topic accepts the following article types, unless otherwise specified in the Research Topic description:

• Brief Research Report
• Community Case Study
• Conceptual Analysis
• Curriculum, Instruction, and Pedagogy
• Data Report
• Editorial
• FAIR² Data
• FAIR² DATA Direct Submission
• General Commentary
• Hypothesis and Theory
• Methods
• Mini Review
• Opinion
• Original Research
• Perspective
• Policy and Practice Reviews
• Review
• Study Protocol
• Systematic Review
• Technology and Code

Keywords: Mathematical Biology, Pattern Formation, Dynamical Systems, Ecological Models, Cellular Signals

Important note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.