Nonlinear dynamics plays a crucial role in understanding complex phenomena in biology and medicine. It captures the inherent complexity of living systems and provides a lens through which we can comprehend phenomena that cannot be explained by linear frameworks. Mathematical models, often expressed through differential equations, are a powerful tool for investigating and analyzing the nonlinear dynamics inherent in biological and medical systems. They facilitate the exploration of complex interactions within physiological and ecological processes and pave the way for predicting emergent behaviors and responses. Sophisticated mathematical techniques are used to analyze these models, providing insights into the nonlinear intricacies that govern biological phenomena. This promotes a deeper understanding of fundamental processes and enables advancements in medical research and treatment strategies.
The nonlinear systems contain mathematical applications related to the preceding topics. Our Research Topic welcomes the latest developments in mathematics with applications across the fields of biology and medicine. The topics of interest include, but are not limited to:
• dynamical systems
• disease modeling
• modeling of tumor growth and treatment
• modeling immune reaction (various types of infection, vaccinations, drugs)
• climate change-related ecology mathematical modeling
• stability and bifurcation analysis of the models
• qualitative theory of differential equations
• numerical methods
• numerical simulations
The aim of this Research Topic is to gather a collection of high-quality articles reflecting the current state of the art in the above-mentioned topics. We welcome review and research papers covering any interesting developments related to these topics.
Keywords:
Dynamical Systems, Differential Equations, Applied Analysis, Biological Model, Mathematical Modeling, Computational Biology
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.
Nonlinear dynamics plays a crucial role in understanding complex phenomena in biology and medicine. It captures the inherent complexity of living systems and provides a lens through which we can comprehend phenomena that cannot be explained by linear frameworks. Mathematical models, often expressed through differential equations, are a powerful tool for investigating and analyzing the nonlinear dynamics inherent in biological and medical systems. They facilitate the exploration of complex interactions within physiological and ecological processes and pave the way for predicting emergent behaviors and responses. Sophisticated mathematical techniques are used to analyze these models, providing insights into the nonlinear intricacies that govern biological phenomena. This promotes a deeper understanding of fundamental processes and enables advancements in medical research and treatment strategies.
The nonlinear systems contain mathematical applications related to the preceding topics. Our Research Topic welcomes the latest developments in mathematics with applications across the fields of biology and medicine. The topics of interest include, but are not limited to:
• dynamical systems
• disease modeling
• modeling of tumor growth and treatment
• modeling immune reaction (various types of infection, vaccinations, drugs)
• climate change-related ecology mathematical modeling
• stability and bifurcation analysis of the models
• qualitative theory of differential equations
• numerical methods
• numerical simulations
The aim of this Research Topic is to gather a collection of high-quality articles reflecting the current state of the art in the above-mentioned topics. We welcome review and research papers covering any interesting developments related to these topics.
Keywords:
Dynamical Systems, Differential Equations, Applied Analysis, Biological Model, Mathematical Modeling, Computational Biology
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.