On the application of statistical physics to evolutionary biology

There is a close analogy between statistical thermodynamics and the evolution of allele frequencies under mutation, selection and random drift. Wright's formula for the stationary distribution of allele frequencies is analogous to the Boltzmann distribution in statistical physics. Population size, 2N, plays the role of the inverse temperature, 1/kT, and determines the magnitude of random fluctuations. Log mean fitness, , tends to increase under selection, and is analogous to a (negative) energy; a potential function, U, increases under mutation in a similar way. An entropy, S_H, can be defined which measures the deviation from the distribution of allele frequencies expected under random drift alone; the sum gives a free fitness that increases as the population evolves towards its stationary distribution. Usually, we observe the distribution of a few quantitative traits that depend on the frequencies of very many alleles. The mean and variance of such traits are analogous to observable quantities in statistical thermodynamics. Thus, we can define an entropy, S_Ω, which measures the volume of allele frequency space that is consistent with the observed trait distribution. The stationary distribution of the traits is ; this applies with arbitrary epistasis and dominance. The entropies S_Ω, S_H are distinct, but converge when there are so many alleles that traits fluctuate close to their expectations. Populations tend to evolve towards states that can be realised in many ways (i.e., large S_Ω), which may lead to a substantial drop below the adaptive peak; we illustrate this point with a simple model of genetic redundancy. This analogy with statistical thermodynamics brings together previous ideas in a general framework, and justifies a maximum entropy approximation to the dynamics of quantitative traits.     

Reduction of biology to fundamental physics

It was shown that, while interpreting life as a physical phenomenon, fundamental physics allows for the following alternatives: relativity of animate and inanimate upon canonical transformations; the impossibility of the change from animate to inanimate state of isolated systems; the abandonment of attempts to reduce biology to the physics of isolated systems. The possibility of reducing biology to phenomenological physics was considered. A number of equations for the general phenomenological dynamics of density matrix was proposed.     

The evolutionary biology of sex

In 1861, Charles Darwin wrote "We do not even in the least know the final cause of sexuality; why new beings should be produced by the union of the two sexual elements, instead of by a process of parthenogenesis". It was hardly possible to begin to answer this question at that time, in view of the contemporary lack of knowledge of genetics and cell biology. Since then, research into the cellular basis of reproduction has shown that sexual reproduction is the norm for the majority of eukaryotes, with huge consequences for their biology. The evolution of sex and some of its consequences are the subject of the series of reviews, and a Primer, in this special issue of Current Biology.     

The synthesis of physics and biology

The hypothesis of a qualitative new field permits the prediction of a new fundamental constant. With this constant a relation between c and h can be found. The new constant permits not only a system of physics but also a new transition from physics into biology.     

The evolutionary biology of child health

I apply evolutionary perspectives and conceptual tools to analyse central issues underlying child health, with emphases on the roles of human-specific adaptations and genomic conflicts in physical growth and development. Evidence from comparative primatology, anthropology, physiology and human disorders indicates that child health risks have evolved in the context of evolutionary changes, along the human lineage, affecting the timing, growth-differentiation phenotypes and adaptive significance of prenatal stages, infancy, childhood, juvenility and adolescence. The most striking evolutionary changes in humans are earlier weaning and prolonged subsequent pre-adult stages, which have structured and potentiated maladaptations related to growth and development. Data from human genetic and epigenetic studies, and mouse models, indicate that growth, development and behaviour during pre-adult stages are mediated to a notable degree by effects from genomic conflicts and imprinted genes. The incidence of cancer, the primary cause of non-infectious childhood mortality, mirrors child growth rates from birth to adolescence, with paediatric cancer development impacted by imprinted genes that control aspects of growth. Understanding the adaptive significance of child growth and development phenotypes, in the context of human-evolutionary changes and genomic conflicts, provides novel insights into the causes of disease in childhood.     

The morphogenesis of evolutionary developmental biology

The early studies of evolutionary developmental biology (Evo-Devo) come from several sources. Tributaries flowing into Evo-Devo came from such disciplines as embryology, developmental genetics, evolutionary biology, ecology, paleontology, systematics, medical embryology and mathematical modeling. This essay will trace one of the major pathways, that from evolutionary embryology to Evo-Devo and it will show the interactions of this pathway with two other sources of Evo-Devo: ecological developmental biology and medical developmental biology. Together, these three fields are forming a more inclusive evolutionary developmental biology that is revitalizing and providing answers to old and important questions involving the formation of biodiversity on Earth. The phenotype of Evo-Devo is limited by internal constraints on what could be known given the methods and equipment of the time and it has been framed by external factors that include both academic and global politics.     

The contribution of developmental palaeontology to extensions of evolutionary theory

Evo‐devo is featuring prominently in current discussion to extend evolutionary theory. Developmental palaeontology, the study of life history evolution and ontogeny in fossils, remains an area of investigation that could benefit from, but also illuminate, the discourse and research agenda of evo‐devo. Understanding how and why evolution proceeds in phenotypic space is an important goal of evo‐devo and one that can be significantly enriched through the examination of development in the fossil record (Palaeo‐evo‐devo). Such an approach permits developmental pathways to be extended into the past, constraining hypotheses of developmental evolution in ways that cannot be predicted by patterns observed from extant taxa alone. The comparison of developmental dynamics among extant and extinct taxa yields a more complete understanding of the temporal persistence of factors that shape evolution in phenotypic space. As more data are compiled that document ‘fossilized ontogenies’, a stage will emerge from which insights into the evolution of development can begin to appraise those phenotypes that are inaccessible to evo‐devo.     

The Ising model in physics and statistical genetics

Interdisciplinary communication is becoming a crucial component of the present scientific environment. Theoretical models developed in diverse disciplines often may be successfully employed in solving seemingly unrelated problems that can be reduced to similar mathematical formulation. The Ising model has been proposed in statistical physics as a simplified model for analysis of magnetic interactions and structures of ferromagnetic substances. Here, we present an application of the one-dimensional, linear Ising model to affected-sib-pair (ASP) analysis in genetics. By analyzing simulated genetics data, we show that the simplified Ising model with only nearest-neighbor interactions between genetic markers has statistical properties comparable to much more complex algorithms from genetics analysis, such as those implemented in the Allegro and Mapmaker-Sibs programs. We also adapt the model to include epistatic interactions and to demonstrate its usefulness in detecting modifier loci with weak individual genetic contributions. A reanalysis of data on type 1 diabetes detects several susceptibility loci not previously found by other methods of analysis.     

The contribution of invertebrate study to the biology of nitric oxide

After the identification of nitric oxide (NO) with the endothelium derived-relaxing factor, many signaling mechanisms involving NO were identified through experiments on Mammals. NO activates soluble guanylyl cyclase leading to the formation of cGMP, stimulates the ADP-ribosylation of GAPDH, altering the cell energy production and combines with superoxide, generating cytotoxic peroxynitrite. NO was then progressively established as a major messenger molecule in Mammals. It is implied in the regulation of blood vessel dilatation, immune function, development and neurotransmission in brain and peripheral nervous system. Later, parallel findings were observed in Invertebrates and then, NO appeared as a signaling molecule widely spread throughout the animal kingdom and whose functions were highly conserved during evolution. The purpose of this short review is to highlight the contribution of Invertebrate studies to the knowledge of NO biology.     

Methodological problems in evolutionary biology VI. The force of evolutionary epistemology

Evolutionary epistemology takes various forms. As a philosophical discipline, it may use analogies by borrowing concepts from evolutionary biology to establish new foundations. This is not a very successful enterprise because the analogies involved are so weak that they hardly have explanatory force. It may also veil itself with the garbs of biology. Proponents of this strategy have only produced irrelevant theories by transforming epistemology's concepts beyond recognition. Sensible theories about knowledge and biology should presuppose that various long-standing problems concerning relations between the mental and the physical are solved. Such problems are wrongly disregarded by evolutionary epistemologists.