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Exchange of biochemical substances is essential way in establishing communication between bacterial cells. It is noticeable that all phases of the process are heavily influenced by perturbations of either internal or external parameters.…

Chaotic Dynamics · Physics 2010-08-18 Igor Balaz , Dragutin T. Mihailovic

Constructing gene regulatory networks is a fundamental task in systems biology. We introduce a Gaussian reciprocal graphical model for inference about gene regulatory relationships by integrating mRNA gene expression and DNA level…

Methodology · Statistics 2016-07-26 Yang Ni , Yuan Ji , Peter Mueller

The symbiotic branching model describes the dynamics of a spatial two-type population, where locally particles branch at a rate given by the frequency of the other type combined with nearest-neighbour migration. This model generalizes…

Probability · Mathematics 2021-07-01 Jochen Blath , Marcel Ortgiese

Gut microbial composition has been linked to multiple health outcomes. Yet, temporal analysis of this composition had been limited to deterministic models. In this paper, we introduce a probabilistic model for the dynamics of intestinal…

Quantitative Methods · Quantitative Biology 2018-09-03 Ruiqi Zhong , Tyler Joseph , Joao B Xavier , Itsik Pe'er

Especially in lattice structured populations, homogeneous mixing represents an inadequate assumption. Various improvements upon the ordinary pair approximation based on a number of assumptions concerning the higher-order correlations have…

Populations and Evolution · Quantitative Biology 2007-05-23 Thomas Petermann , Paolo De Los Rios

Probabilistic graphical models compactly represent joint distributions by decomposing them into factors over subsets of random variables. In Bayesian networks, the factors are conditional probability distributions. For many problems, common…

Machine Learning · Computer Science 2018-08-21 Weirui Kong , Wenyi Wang

Cooperation in cellular networks is a promising scheme to improve system performance. Existing works consider that a user dynamically chooses the stations that cooperate for his/her service, but such assumption often has practical…

Networking and Internet Architecture · Computer Science 2016-11-09 Luis David Alvarez Corrales , Anastasios Giovanidis , Philippe Martins , Laurent Decreusefond

We propose a novel Bayesian model selection technique on linear mixed-effects models to compare multiple treatments with a control. A fully Bayesian approach is implemented to estimate the marginal inclusion probabilities that provide a…

Applications · Statistics 2015-09-28 Lei Gong , James M. Flegal , Stephen R. Spindler , Patricia L. Mote

Previous work has shown that species interacting in an ecosystem and actors transacting in an economic context may have notable similarities in behavior. However, the specific mechanism that may underlie similarities in nature and human…

Physics and Society · Physics 2011-10-04 Serguei Saavedra , Felix Reed-Tsochas , Brian Uzzi

Mobile genetic elements like conjugative plasmids play a crucial role in shaping the genetic content and population dynamics of bacterial species. Bacterial populations often contain not one, but multiple co-circulating MGEs, which modify…

Populations and Evolution · Quantitative Biology 2025-04-25 Berit Siedentop , Jana S. Huisman , Claudia Igler

Social interaction between microbes can be described at many levels of details, ranging from the biochemistry of cell-cell interactions to the ecological dynamics of populations. Choosing the best level to model microbial communities…

Populations and Evolution · Quantitative Biology 2020-09-09 Chen Liao , Tong Wang , Sergei Maslov , Joao B. Xavier

Interacting populations often create complicated spatiotemporal behavior, and understanding it is a basic problem in the dynamics of spatial systems. We study the two-species case by simulations of a host--parasitoid model. In the case of…

Populations and Evolution · Quantitative Biology 2009-01-16 Matti Peltomaki , Martin Rost , Mikko Alava

Diffusion models have emerged as powerful tools for solving inverse problems, yet prior work has primarily focused on observations with Gaussian measurement noise, restricting their use in real-world scenarios. This limitation persists due…

Machine Learning · Statistics 2025-02-11 Alessandro Micheli , Mélodie Monod , Samir Bhatt

Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

Methodology · Statistics 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

Multivariate categorical data occur in many applications of machine learning. One of the main difficulties with these vectors of categorical variables is sparsity. The number of possible observations grows exponentially with vector length,…

Machine Learning · Statistics 2015-03-10 Yarin Gal , Yutian Chen , Zoubin Ghahramani

The effect of mechanical interactions between cells in the spreading of bacterial populations was investigated in one-dimensional space. A continuum-mechanics approach, comprising cell migration, proliferation, and exclusion processes, was…

Biological Physics · Physics 2015-12-15 Waipot Ngamsaad , Suthep Suantai

We study the correspondence between Bayesian Networks and graphical representation of proofs in linear logic. The goal of this paper is threefold: to develop a proof-theoretical account of Bayesian inference (in the spirit of the…

Logic in Computer Science · Computer Science 2026-02-05 Rémi Di Guardia , Thomas Ehrhard , Jérôme Evrard , Claudia Faggian

Mechanistic mathematical models of within-host viral dynamics are tools for understanding how a virus' biology and its interaction with the immune system shape the infectivity of a host. The biology of the process is encoded by the…

Applications · Statistics 2025-12-11 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

In this report a systematic approach is used to determine the approximate genetic network and robust dependencies underlying differentiation. The data considered is in the form of a binary matrix and represent the expression of the nine…

Molecular Networks · Quantitative Biology 2007-05-23 Radhakrishnan Nagarajan , Jane E. Aubin , Charlotte A. Peterson

Genetic data are often used to infer demographic history and changes or detect genes under selection. Inferential methods are commonly based on models making various strong assumptions: demography and population structures are supposed…

Populations and Evolution · Quantitative Biology 2020-07-28 Clotilde Lepers , Sylvain Billiard , Matthieu Porte , Sylvie Méléard , Viet Chi Tran