Making new antibodies
There are plenty of papers with models for this. For instance, check a few hundred here. 

Edit: I'm not an expert in modeling these particular processes. However, I do know about mathematical models in biology more generally. The OP asked if there is "a model" of how the B-cell antibody pool matures ('evolves'). The short answer is 'no'. There is not 'a model', because anyone can make their own model, with their own assumptions, parameters, methods, etc. The 'algorithmic point of view' is not something that is valid on itself, it is only useful (sometimes). It is the job of the modeler to navigate the nuances of her/his own model so that it ends up being useful for some particular purpose or question at hand. Thus, there is no simple answer to this question, or any other modeling question (take, for instance, all the talk about epidemic models in the COVID-19 case: even experts differ about the relevance of some particular details/assumptions). This is my long answer.