Statistical Patterns of Darwinian Evolution

Statistical Patterns of Darwinian Evolution
Matteo Smerlak, Ahmed Youssef

In the most general terms, Darwinian evolution is a flow in the space of fitness distributions. In the limit where mutations are infinitely frequent and have infinitely small fitness effects (the “diffusion approximation”, Tsimring et al. have showed that this flow admits “fitness wave” solutions: Gaussian-shape fitness distributions moving towards higher fitness values at constant speed. Here we show more generally that evolving fitness distributions are attracted to a one-parameter family of distributions with a fixed parabolic relationship between skewness and kurtosis. Unlike fitness waves, this statistical pattern encompasses both positive and negative (a.k.a. purifying) selection and is not restricted to rapidly adapting populations. Moreover we find that the mean fitness of a population under the selection of pre-existing variation is a power-law function of time, as observed in microbiological evolution experiments but at variance with fitness wave theory. At the conceptual level, our results can be viewed as the resolution of the “dynamic insufficiency” of Fisher’s fundamental theorem of natural selection. Our predictions are in good agreement with numerical simulations.

Human Microbiota of the Argentine Population- A pilot study

Human Microbiota of the Argentine Population- A pilot study

Belen Carbonetto, Monica Fabbro, Mariela Sciara, Analia Seravalle, Guadalupe Mejico, Santiago Revale, Soledad Romero, Bianca Brun, Marcelo Fay, Fabian Fay, Martin Vazquez

The Strength of Selection Against Neanderthal Introgression

The Strength of Selection Against Neanderthal Introgression

Ivan Juric, Simon Aeschbacher, Graham Coop

Whole-genome modeling accurately predicts quantitative traits in plants.

Whole-genome modeling accurately predicts quantitative traits in plants.

Laurent GENTZBITTEL, Cecile Ben, Melanie Mazurier, Min-Gyoung Shin, Martin Triska, Martina Rickauer, Yuri Nikolsky, Paul Marjoram, Sergey Nuzhdin, Tatiana Tatarinova

The Genetic Cost of Neanderthal Introgression

The Genetic Cost of Neanderthal Introgression

Kelley Harris, Rasmus Nielsen

Genome-wide association studies suggest limited immune gene enrichment in schizophrenia compared to six immune diseases

Genome-wide association studies suggest limited immune gene enrichment in schizophrenia compared to six immune diseases

Jennie G Pouget, Vanessa F Goncalves, Schizophrenia Working Group of the PGC, Sarah L Spain, Hilary K Finucane, Soumya Raychaudhuri, James L Kennedy, Jo Knight

Defining individual size in the model filamentous fungus Neurospora crassa

Defining individual size in the model filamentous fungus Neurospora crassa
Linda Ma, Boya Song, Thomas Curran, Nhu Phong, Emilie Dressaire, Marcus Roper

Fungal mycelia potentially violate each of the tenets that define individuality in paradigmatic organisms: the mycelium of a filamentous fungi can contain millions of genetically diverse nuclei, each capable of founding new mycelia. Moreover a single mycelium can potentially stretch over kilometers and it unlikely that distant parts of these ultra-large mycelia share resources or have the same fitness. Here we directly measure how a single mycelium of the model ascomycete Neurospora crassa is patterned into reproductive individuals, by analyzing the genetic diversity of thousands of asexual spores to determine the size of the nuclear sub-population that produces each spore. In a mycelium with a single growth direction the entire width of the mycelium forms a single population. By contrast, mycelia with expanding frontiers fragment into approximately 1000 reproducing subpopulation per square cm. Nuclear subpopulations fragment further when the mycelial network is perturbed by either chemical or desiccation stress. Our results provide a concept of fungal individuality that is directly connected to reproductive potential, and therefore to theories of how fungal individuals adapt and evolve over time. Our data show that the size of fungal individuals is a dynamic and environment-dependent property, even within apparently totally connected fungal mycelia.

Multiple sequence alignment for short sequences

Multiple sequence alignment for short sequences
Kristóf Takács

Multiple sequence alignment (MSA) has been one of the most important problems in bioinformatics for more decades and it is still heavily examined by many mathematicians and biologists. However, mostly because of the practical motivation of this problem, the research on this topic is focused on aligning long sequences. It is understandable, since the sequences that need to be aligned (usually DNA or protein sequences) are generally quite long (e. g., at least 30-40 characters). Nevertheless, it is a challenging question that exactly where MSA starts to become a real hard problem (since it is known that MSA is NP-complete [2]), and the key to answer this question is to examine short sequences. If the optimal alignment for short sequences could be determined in polynomial time, then these results may help to develop faster or more accurate heuristic algorithms for aligning long sequences. In this work, it is shown that for length-1 sequences using arbitrary metric, as well as for length-2 sequences using unit metric, the optimum of the MSA problem can be achieved by the trivial alignment.

Autocratic strategies for iterated games with arbitrary action spaces

Autocratic strategies for iterated games with arbitrary action spaces
Alex McAvoy, Christoph Hauert

The recent discovery of zero-determinant strategies for the repeated Prisoner’s Dilemma sparked a surge of interest in the surprising fact that a player can exert control over iterated interactions regardless of the opponent’s response. These remarkable strategies, however, are known to exist only in games in which players choose between two alternative actions such as “cooperate” and “defect.” Here we introduce a broader class of autocratic strategies by extending zero-determinant strategies to iterated games with more general action spaces. We use the continuous Donation Game as an example, which represents an instance of the Prisoner’s Dilemma that intuitively extends to a continuous range of cooperation levels. Surprisingly, despite the fact that the opponent has infinitely many donation levels from which to choose, a player can devise an autocratic strategy to enforce a linear relationship between his or her payoff and that of the opponent even when restricting his or her actions to merely two discrete levels of cooperation throughout the course of the interaction. In particular, a player can use such a strategy to extort an unfair share of the payoffs from the opponent. Therefore, although the action space for the continuous Donation Game dwarfs that of the classical Prisoner’s Dilemma, players can still devise relatively simple autocratic and, in particular, extortionate strategies.

Frequency and complexity of de novo structural mutation in autism

Frequency and complexity of de novo structural mutation in autism

William M Brandler, Danny Antaki, Madhusudan Gujral, Amina Noor, Gabriel Rosanio, Timothy R Chapman, Daniel J Barrera, Guan Ning Lin, Dheeraj Malhotra, Amanda C Watts, Lawrence C Wong, Jasper A Estabillo, Therese E Gadomski, Oanh Hong, Karin V Fuentes Fajardo, Abhishek Bhandari, Renius Owen, Michael Baughn, Jeffrey Yuan, Terry Solomon, Alexandra G Moyzis, Stephan J Sanders, Gail E Reiner, Keith K Vaux, Charles M Strom, Kang Zhang, Alysson R Muotri, Natacha Akshoomoff, Suzanne M Leal, Karen Pierce, Eric Courchesne, Lilia M Iakoucheva, Christina Corsello, Jonathan Sebat