23 papers · ranked by Valyu relevance
A. Coclite, S. F. Pellegrino, T. Politi, M. Popolizio
This paper proposes a network-based framework to model and analyze the evolution and dynamics of a marine ecosystem. The model involves two different length scales: the evolution of species in local reserves and the exchange of species between reserves. At the inter-reserve level, species evolution is ruled by the…
W. A. Tiefenbrunner
Selection can be described as a process of information accumulation^21^. The present work extends this for frequency-dependent selection. For recombination, it is shown that the total entropy change can be calculated by summing the contributions of the individual gene loci in this case as well. For more complex…
Matheus S. Mariano, José F. Fontanari, James R. Lyons
The population dynamics of early replicators has revealed numerous puzzles, highlighting the difficulty of transitioning from simple template-directed replicating molecules to complex biological systems. The resolution of these puzzles has set the research agenda on prebiotic evolution since the seminal works of…
Inom Mirzaev, Drew FK Williamson, Jacob G Scott
Evolutionary game theory is a reformulation of classical game theory wherein the players of the game are members of a population. These members do not choose a strategy, but instead are born with their strategy ingrained−-they cannot change strategy during the game. In biological terms, the strategies might represent…
John C. Baez, Blake S. Pollard
In this paper we review various information-theoretic characterizations of the approach to equilibrium in biological systems. The replicator equation, evolutionary game theory, Markov processes and chemical reaction networks all describe the dynamics of a population or probability distribution. Under suitable…
A. N. Chandorkar
evolutionary game theory Authors: ['A. N. Chandorkar'] This paper presents a physics-informed deep learning approach for predicting the replicator equation, allowing accurate forecasting of population dynamics. This methodological innovation allows us to derive governing differential or difference equations for systems…
Dario Madeo, Chiara Mocenni
A new mathematical model for evolutionary games on graphs is proposed to extend the classical replicator equation to finite populations of players organized on a network with generic topology. Classical results from game theory, evolutionary game theory and graph theory are used. More specifically, each player is…
Chaitanya S. Gokhale, Arne Traulsen
The Lotka-Volterra equations are foundational in ecology, modeling logistic growth in isolated populations and revealing complex dynamics in interacting species. These equations are mathematically equivalent to the replicator dynamics of evolutionary games. This mathematical equivalence, established by Hofbauer and…
David Liao, Thea D. Tlsty
Failure to understand evolutionary dynamics has been hypothesized as limiting our ability to control biological systems. An increasing awareness of similarities between macroscopic ecosystems and cellular tissues has inspired optimism that game theory will provide insights into the progression and control of cancer. To…
Bianka Kovács, György Barabás, Géza Meszéna, Eörs Szathmáry + 2 more
Systems of oligonucleotide chemical replicator molecules provide some of the finest, empirically realizable models of prebiotic evolution. Yet, a full understanding of their eco-evolutionary implications is hampered by conflicting assumptions, modeling strategies, and therefore predictions in the literature. Here we…
K. Argasinski, M. Broom
We present a new modelling framework combining replicator dynamics, the standard model of frequency dependent selection, with an age-structured population model. The new framework allows for the modelling of populations consisting of competing strategies carried by individuals who change across their life cycle.…
Sahani Pathiraja, Philipp Wacker
equations for quadratic fitness landscapes Authors: ['Sahani Pathiraja' 'Philipp Wacker'] The replicator-mutator equation is a model for populations of individuals carrying different traits, with a fitness function mediating their ability to replicate, and a stochastic model for mutation. We derive analytical solutions…
Jordi Piñero, Ricard V. Solé
Life evolved on our planet by means of a combination of Darwinian selection and innovations leading to higher levels of complexity. The emergence and selection of replicating entities is a central problem in prebiotic evolution. Theoretical models have shown how populations of different types of replicating entities…
Mariam Sultana, Fareeha Sami Khan, M. Khalid, Areej A. Al-moneef + 2 more
'Ali Hasan Ali' 'Omar Bazighifan'] Game theory is an excellent mathematical tool to describe the interaction between the immune system and cancerous leukocytes (c.leu). The feature of cancerous leukocytes to differentiate and mutate to give rise to leukemia is in the domain of ecological models as well. In this work…
Tamás Varga
One of the central results of evolutionary matrix games is that a state corresponding to an evolutionarily stable strategy (ESS) is an asymptotically stable equilibrium point of the standard replicator dynamics. This relationship is crucial because it simplifies the analysis of dynamic phenomena through static…
Jordi Piñero, Ricard Solé
Life evolved on our planet by means of a combination of Darwinian selection and innovations leading to higher levels of complexity. The emergence and selection of replicating entities is a central problem in prebiotic evolution. Theoretical models have shown how populations of different types of replicating entities…
Omer Markovitch, Juntian Wu, Otto Sijbren
Copying information is vital for life's propagation. Current life forms maintain a low error rate in replication using complex machinery to prevent and correct errors. However, primitive life had to deal with higher error rates, limiting its ability to evolve. Discovering mechanisms to reduce errors would alleviate…
Marco Villani, Elena Alboresi, Roberto Serra, Chaoming Song
The conditions that allow for the sustained growth of a protocell population are investigated in the case of asymmetrical division. The results are compared to those of previous studies concerning models of symmetrical division, where synchronization (between duplication of the genetic material and fission of the lipid…
Suckjoon Jun, Fangwei Si, Rami Pugatch, Matthew P. Scott
Bacterial physiology is a branch of biology that aims to understand overarching principles of cellular reproduction. Many important issues in bacterial physiology are inherently quantitative, and major contributors to the field have often brought together tools and ways of thinking from multiple disciplines. This…
Philip Gerlee, Philipp M. Altrock
Cancer evolution and progression are shaped by Darwinian selection and cell-to-cell interactions. Evolutionary game theory incorporates both of these principles, and has been recently as a framework to describe tumor cell population dynamics. A cornerstone of evolutionary dynamics is the replicator equation, which…
Authors not listed
Deriving versatile and robust mechanistic models from experimental data is a key challenge in engineering and natural sciences. This is especially true in chemical reaction engineering, where reactor manufacturers and operators increasingly pursue the development and maintenance of digital twins that rely on frequent…
Authors not listed
Two kinetic schemes of the general modifier mechanism have been analysed in a quasi-steady state approximation, assuming that the reaction product concentration is negligible (a natural assumption for the initial rate method) and without additional simplifying assumptions. The characteristic equations have been…
Yoshiharu Mukouyama, Kenya Tanaka, Shuji Nakanishi, Yoshihiro Nakato
The present work reveals that a prebiotic chemical system can generate self-organizing ability that leads to highly ordered structures and an active character such as free independent harmonious behavior. This result is the properties of natural things that have long been overlooked since Darwin’s theory of evolution…