An important purpose of mathematical models in evolutionary research, as in many other fields, is to act as “proof-of-concept” tests of the logic in verbal explanations, paralleling the way in which empirical data are used to test hypotheses.

In particular, the following topics are addressed here by world-leading experts in the modelling of evolution: (i) the origins of biodiversity observed in ecosystems and communities; (ii) evolution of decision-making by animals and the optimal strategy of populations; (iii) links between evolutionary and ecological processes across different ...

This ODE evolution model (a corresponding but more detailed evolutionary simulation framework is discussed in Section 4.5.3) has three free parameters: rate of beneficial mutations μ, input probabilities P(G) and P(T) of a given mutation being type G (genomic) or, K (knockout) or T (tweaking); P(K) is determined via P (K) = 1 - P (G) - P (T).

Focusing on models in developmental biology and heredity, this article (1) presents the properties and epistemological basis of pertinent mathematical models in biology from Mendel's model of heredity in the 19th century to Eric Davidson's model of developmental gene regulatory networks in the 21st; (2) shows that the models differ not only in ...

In this paper, we aimed to highlight the different aspects of the creation of mathematical models using automated evolutionary learning approach. Such approach may be represented from the perspective of generative design and co-design for mathematical models.