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Cellular automata are discrete and computational models thatcan be shown as general models of complexity. They are used in varied applications to derive the generalized behavior of the presented model. In this paper we have took one such…

Neural and Evolutionary Computing · Computer Science 2020-05-14 Karan Nayak

We typically think of cells as responding to external signals independently by regulating their gene expression levels, yet they often locally exchange information and coordinate. Can such spatial coupling be of benefit for conveying…

Molecular Networks · Quantitative Biology 2015-01-19 Thomas R. Sokolowski , Gašper Tkačik

We seek models for the genotype evolution of agricultural animals, animals involved in primary production processes. Classical models for genotype evolution have tended to be very simple in order that analytic methods may be employed in…

Quantitative Methods · Quantitative Biology 2017-12-15 Vladimir Obolonkin , Anatoly Zherelo , George Krylov , Murray Jorgensen , Richard Spelman

Ensuring the generalisability of clinical machine learning (ML) models across diverse healthcare settings remains a significant challenge due to variability in patient demographics, disease prevalence, and institutional practices. Existing…

Machine Learning · Computer Science 2025-04-30 Bradley Segal , Joshua Fieggen , David Clifton , Lei Clifton

We present a model of decentralized growth for Artificial Neural Networks (ANNs) inspired by the development and the physiology of real nervous systems. In this model, each individual artificial neuron is an autonomous unit whose behavior…

adap-org · Physics 2007-05-23 Jens C. Astor , Christoph Adami

We make use of ideas from the theory of complex networks to implement a machine learning classification of human DNA methylation data, that carry signatures of cancer development. The data were obtained from patients with various kinds of…

Genomics · Quantitative Biology 2017-02-22 Alexander Karsakov , Thomas Bartlett , Iosif Meyerov , Alexey Zaikin , Mikhail Ivanchenko

We propose a new statistical mechanics model for the melting transition of DNA. Base pairing and stacking are treated as separate degrees of freedom, and the interplay between pairing and stacking is described by a set of local rules which…

Soft Condensed Matter · Physics 2007-05-23 Vassili Ivanov , Dmitri Piontkovski , Giovanni Zocchi

Weighted automata over the nonnegative reals form a fundamental model for quantitative languages. We show that, up to scaling, this model collapses to probabilistic automata. Concretely, we prove that every weighted automaton whose…

Formal Languages and Automata Theory · Computer Science 2026-03-02 Smayan Agarwal , Aalok Thakkar

The probability distribution describing the state of a Stochastic Reaction Network evolves according to the Chemical Master Equation (CME). It is common to estimated its solution using Monte Carlo methods such as the Stochastic Simulation…

Quantitative Methods · Quantitative Biology 2015-06-18 Benjamin Hepp , Ankit Gupta , Mustafa Khammash

We perform a statistical study of the distances between successive occurrencies of a given dinucleotide in the DNA sequence for a number of organisms of different complexity. Our analysis highlights peculiar features of the dinucleotide CG…

Quantitative Methods · Quantitative Biology 2016-04-27 Giulia Paci , Giampaolo Cristadoro , Barbara Monti , Marco Lenci , Mirko Degli Esposti , Gastone C. Castellani , Daniel Remondini

We show that Generative Adversarial Networks (GANs) may be fruitfully exploited to learn stochastic dynamics, surrogating traditional models while capturing thermal fluctuations. Specifically, we showcase the application to a…

Statistical Mechanics · Physics 2025-07-30 Daniele Lanzoni , Olivier Pierre-Louis , Roberto Bergamaschini , Francesco Montalenti

Phenotypic variation is a hallmark of cellular physiology. Metabolic heterogeneity, in particular, underpins single-cell phenomena such as microbial drug tolerance and growth variability. Much research has focussed on transcriptomic and…

Molecular Networks · Quantitative Biology 2019-01-31 Mona K. Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

Biological structure and function depend on complex regulatory interactions between many genes. A wealth of gene expression data is available from high-throughput genome-wide measurement technologies, but effective gene regulatory network…

Molecular Networks · Quantitative Biology 2016-03-28 Arwen Vanice Bradley , Ye Henry Li , Bokyung Choi , Wing Hung Wong

Sequence alignment has had an enormous impact on our understanding of biology, evolution, and disease. The alignment of biological {\em networks} holds similar promise. Biological networks generally model interactions between biomolecules…

Molecular Networks · Quantitative Biology 2019-11-25 Wayne B. Hayes

Machine learning for robot manipulation promises to unlock generalization to novel tasks and environments. But how should we measure the progress of these policies towards generalization? Evaluating and quantifying generalization is the…

Robotics · Computer Science 2026-02-09 Jensen Gao , Suneel Belkhale , Sudeep Dasari , Ashwin Balakrishna , Dhruv Shah , Dorsa Sadigh

Background: Significance analysis plays a major role in identifying and ranking genes, transcription factor binding sites, DNA methylation regions, and other high-throughput features for association with disease. We propose a new approach,…

Methodology · Statistics 2017-01-10 Andrew E. Jaffe , John D. Storey , Hongkai Ji , Jeffrey T. Leek

The synchronization of two stochastically coupled one-dimensional cellular automata (CA) is analyzed. It is shown that the transition to synchronization is characterized by a dramatic increase of the statistical complexity of the patterns…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Juan R. Sánchez , Ricardo López-Ruiz

We present an algorithm for the stochastic simulation of gene expression and heterogeneous population dynamics. The algorithm combines an exact method to simulate molecular-level fluctuations in single cells and a constant-number Monte…

Computational Physics · Physics 2016-08-24 Daniel A. Charlebois , Jukka Intosalmi , Dawn Fraser , Mads Kaern

My analysis uses methods developed for data mining microarray experiments, adapted for ageing research. Methods bridge knowledge of statistical mechanics with data mining methods developed in statistical mathematics. Analyses can reveal how…

Quantitative Methods · Quantitative Biology 2012-12-11 Diana David-Rus

Cellular automata (CAs) are fully-discrete dynamical models that have received much attention due to the fact that their relatively simple setup can nonetheless express highly complex phenomena. Despite the model's theoretical maturity and…

Cellular Automata and Lattice Gases · Physics 2025-07-10 Michiel Rollier , Kallil M. C. Zielinski , Aisling J. Daly , Odemir M. Bruno , Jan M. Baetens
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