Biology, Math Modeling

Model Complexity in Mathematical Biology

Most biological systems consist of many moving parts that happen at slightly different timescales. A true-to-life biological model of a sub-network might include dozens of parameters and biological species, regardless of the scale. Constructing a model with an appropriate level of complexity is one of the challenges in mathematical biology. Why is model complexity an… Continue reading Model Complexity in Mathematical Biology

Biology, Computation, Data analysis, Math Modeling, Statistics

What makes a model good?

How can we identify a good mathematical model? Over focusing on one aspect of modeling (fitting, inference) may not be the best approach. Here are 6 qualities that defines a good model: Reflects data accurately Not overly complex Has predictive power Consistent with general knowledge of the system Can be studied mathematically Can be simulated… Continue reading What makes a model good?

Computation, Math Modeling, Statistics

Different Types of Models: Mathematical and Statistical

There are two broad categories of models: statistical and mathematical. Statistical Models Statistical models are a subset of mathematical models. I am dividing them into two broad categories, although it is a fairly arbitrary distinction. Models to Identify Relationships Statistical models may be used to find relationships between inputs and outputs of a system. These… Continue reading Different Types of Models: Mathematical and Statistical