In biological systems research, the emergent properties and the unparalleled detail of the characterization of the systems make it imperative to develop powerful conceptual tools that provide fundamental insights and relevant practical consequences. In this regard, mathematical and computational approaches have tremendous potential. They have long been appreciated in physics and chemistry and are playing an ever-increasing role in biology. Mathematical and computational methods based either on fundamental physical laws, empirical data, or a combination of both, can go beyond the empirical data and can repeatedly be tested for their range of validity. Moreover, powerful computers and, in parallel, the development of new and more effective computational methods, boost a deeper understanding of more complex systems.
This Research Topic aims to cover new and exciting modeling methods and techniques to help mathematicians, physicists, and bioengineers tackle real world bio and bioengineering processes. It addresses a wide range of important topics in mathematical analysis, numerical and computational methods, applied to bioengineering, biomechanics, biochemistry, fluid dynamics, amongst others. Therefore, we here welcome contributions on the following topics:
• Scale relations and coupling
• Temporal complexity and coding
• Parameter estimation and treatment of uncertainty
• Statistical analysis and data mining
• Simulation modeling and prediction.
• Complex geometry
• Relationships between network architecture and dynamics
• Combinatorial complexity
• Theory for systems that combine stochastic and nonlinear effects, often in partially distributed systems
• Data modeling and data structure design
• Distributed memory management and process management
• Fractional differential models for anomalous diffusion in complex media
• Numerical methods for fractional differential equations and its applications
In biological systems research, the emergent properties and the unparalleled detail of the characterization of the systems make it imperative to develop powerful conceptual tools that provide fundamental insights and relevant practical consequences. In this regard, mathematical and computational approaches have tremendous potential. They have long been appreciated in physics and chemistry and are playing an ever-increasing role in biology. Mathematical and computational methods based either on fundamental physical laws, empirical data, or a combination of both, can go beyond the empirical data and can repeatedly be tested for their range of validity. Moreover, powerful computers and, in parallel, the development of new and more effective computational methods, boost a deeper understanding of more complex systems.
This Research Topic aims to cover new and exciting modeling methods and techniques to help mathematicians, physicists, and bioengineers tackle real world bio and bioengineering processes. It addresses a wide range of important topics in mathematical analysis, numerical and computational methods, applied to bioengineering, biomechanics, biochemistry, fluid dynamics, amongst others. Therefore, we here welcome contributions on the following topics:
• Scale relations and coupling
• Temporal complexity and coding
• Parameter estimation and treatment of uncertainty
• Statistical analysis and data mining
• Simulation modeling and prediction.
• Complex geometry
• Relationships between network architecture and dynamics
• Combinatorial complexity
• Theory for systems that combine stochastic and nonlinear effects, often in partially distributed systems
• Data modeling and data structure design
• Distributed memory management and process management
• Fractional differential models for anomalous diffusion in complex media
• Numerical methods for fractional differential equations and its applications
