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This poses difficult challenges for mathematical modeling.
Understanding the broad spatial and temporal dynamics of biological systems provides exciting challenges for mathematical biology.
We conclude with a discussion about opportunities and challenges for mathematical modeling going forward.
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The underlying mechanism of this observation is not obvious, and presents a challenge for mathematical modelling.
Explicit quantification of an optimal vaccination policy ([ 33]) in a multi-group population scenario remains to be a challenge for mathematical modelers and is beyond the scope of this work.
A challenge for mathematical modeling is to capture those aspects that are essential to the questions being addressed while maintaining a stylized structure that enables interpretation without compromising accuracy of the conclusions [ 5- 8].
This is useful in setting out some of the neuroscience driven challenges for the mathematical community in establishing inroads into a more general theory of coupled oscillators.
CAN [25] poses interesting mathematical challenges for our method since it uses a multidimensional identifier space.
With the publication of the standards for mathematical practice in the Common Core State Standards for Mathematics (CCSSM) [National Governors Association Center for Best Practices and Council of Chief State School Officers 2010], there has been growing research interest in the potential and challenges of modeling with mathematics in K-6 classrooms.
Perhaps the premier challenge for formulating appropriate mathematical models is the complexity of signaling networks, especially due to formation of multiple complexes and many different post-translation protein modifications.
Naturally, there will be more challenges in mathematical analysis and numerical simulation for multi-dimensional free boundary, and we will pay more attention to these questions in future work.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com