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We propose a new non-equilibrium model for spatial pattern formation on the basis of local information transfer. Unlike standard models of pattern formation it is not based on the Turing instability. Information is transmitted through the…

Statistical Mechanics · Physics 2007-05-23 Thimo Rohlf , Stefan Bornholdt

When it is polarised, a cell develops an asymmetric distribution of specific molecular markers, cytoskeleton and cell membrane shape. Polarisation can occur spontaneously or be triggered by external signals, like gradients of signalling…

Analysis of PDEs · Mathematics 2013-01-18 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

This paper presents a novel approach that leverages domain variability to learn representations that are conditionally invariant to unwanted variability or distractors. Our approach identifies both spurious and invariant latent features…

Machine Learning · Computer Science 2023-07-04 Hananeh Aliee , Ferdinand Kapl , Soroor Hediyeh-Zadeh , Fabian J. Theis

In this paper, phase field models are developed for multi-component vesicle membranes with different lipid compositions and membranes with free boundary. These models are used to simulate the deformation of membranes under the elastic…

Biological Physics · Physics 2007-05-23 Xiaoqiang Wang , Qiang Du

Mathematical modeling is now used commonly in the analysis of signaling networks. With advances in high resolution microscopy, the spatial location of different signaling molecules and the spatio-temporal dynamics of signaling microdomains…

Subcellular Processes · Quantitative Biology 2016-07-26 Jasmine Nirody , Padmini Rangamani

Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

Cell Behavior · Quantitative Biology 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

This paper presents a real-time simulation involving ''protozoan-like'' cells that evolve by natural selection in a physical 2D ecosystem. Selection pressure is exerted via the requirements to collect mass and energy from the surroundings…

Neural and Evolutionary Computing · Computer Science 2023-05-23 Dylan Cope

Spatiotemporal patterns are common in biological systems. For electrically-coupled cells previous studies of pattern formation have mainly used external forcing as the main bifurcation parameter. The purpose of this paper is to show that…

Dynamical Systems · Mathematics 2021-11-02 H. O. Fatoyinbo , R. G. Brown , D. J. W. Simpson , B. van Brunt

Segregation of different cell types is a crucial process for the pattern formation in tissues, in particular during embryogenesis. Since the involved cell interactions are complex and difficult to measure individually in experiments,…

Cell Behavior · Quantitative Biology 2022-09-21 Florian Franke , Sebatian Aland , Hans-Joachim Böhme , Anja Voss-Böhme , Steffen Lange

Whole-cell computational models aim to predict cellular phenotypes from genotype by representing the entire genome, the structure and concentration of each molecular species, each molecular interaction, and the extracellular environment.…

Quantitative Methods · Quantitative Biology 2019-09-05 Arthur P. Goldberg , Balázs Szigeti , Yin Hoon Chew , John A. P. Sekar , Yosef D. Roth , Jonathan R. Karr

Understanding how cells respond to external stimuli is a central challenge in biomedical research and drug development. Current computational frameworks for modelling cellular responses remain restricted to two-dimensional representations,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Reed Naidoo , Matt De Vries , Olga Fourkioti , Vicky Bousgouni , Mar Arias-Garcia , Maria Portillo-Malumbres , Chris Bakal

We present a method based on a time domain simulation of wave propagation that allows studying the optical response of a broad range of dielectric photonic structures. This method is particularly suitable for dealing with complex biological…

Computational Physics · Physics 2013-01-07 Andrés E. Dolinko , Diana C. Skigin

We present a conditional generative model to learn variation in cell and nuclear morphology and the location of subcellular structures from microscopy images. Our model generalizes to a wide range of subcellular localization and allows for…

Machine Learning · Statistics 2017-05-02 Gregory R. Johnson , Rory M. Donovan-Maiye , Mary M. Maleckar

Genomics methods have uncovered patterns in a range of biological systems, but obscure important aspects of cell behavior: the shape, relative locations of, movement of, and interactions between cells in space. Spatial technologies that…

Applications · Statistics 2023-10-17 Siddhartha G Jena , Archit Verma , Barbara E Engelhardt

Discrete-time modeling of acoustic, mechanical and electrical systems is a prominent topic in the musical signal processing literature. Such models are mostly derived by discretizing a mathematical model, given in terms of ordinary or…

A coupled map is suggested to investigate various spatial or temporal designs in biology: Several cells (or tissues) in an organ are considered as connected to each other in terms of some molecular diffusions or electrical potential…

General Physics · Physics 2011-06-07 Caglar Tuncay

To explain the differentiation of stem cells in terms of dynamical systems theory, models of interacting cells with intracellular protein expression dynamics are analyzed and simulated. Simulations were carried out for all possible protein…

Cell Behavior · Quantitative Biology 2015-06-15 Yusuke Goto , Kunihiko Kaneko

We present DiSH-Sim, a simulator for large discrete models of biological signal transduction pathways, capable of simulating networks with multi-valued elements in both deterministic and stochastic manner. We focus on order of update and…

Molecular Networks · Quantitative Biology 2017-05-09 Khaled Sayed , Yu-Hsin Kuo , Anuva Kulkarni , Natasa Miskov-Zivanov

Cells process external and internal signals through chemical interactions. Cells that constitute the immune system (e.g., antigen presenting cell, T-cell, B-cell, mast cell) can have different functions (e.g., adaptive memory, inflammatory…

Molecular Networks · Quantitative Biology 2017-09-21 John A. P. Sekar , James R. Faeder

Advances in imaging technology now provide us with detailed 3D data on gene expression patterns in developing embryos. This information can be used to build predictive mathematical models of embryogenesis. Current modelling approaches are,…

Quantitative Methods · Quantitative Biology 2014-06-11 Britta Velten , Erkan Uenal , Dagmar Iber