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The dynamic interplay between collective cell movement and the various molecules involved in the accompanying cell signalling mechanisms plays a crucial role in many biological processes including normal tissue development and pathological…

Cell Behavior · Quantitative Biology 2016-07-20 Pia Domschke , Dumitru Trucu , Alf Gerisch , Mark A. J. Chaplain

We present and analyse a model for cell signalling processes in biological tissues. The model includes diffusion and nonlinear reactions on the cell surfaces, and both inter- and intracellular signalling. Using techniques from the theory of…

Analysis of PDEs · Mathematics 2020-03-12 Mariya Ptashnyk , Chandrasekhar Venkataraman

Collective oscillation of cells in a population has been reported under diverse biological contexts and with vastly different molecular constructs. Could there be common principles similar to those that govern spontaneous oscillation in…

Cell Behavior · Quantitative Biology 2019-07-08 Shou-Wen Wang , Lei-Han Tang

Cells are constantly exposed to fluctuating environmental conditions. External signals are sensed, processed and integrated by cellular signal transduction networks, which translate input signals into specific cellular responses by means of…

Molecular Networks · Quantitative Biology 2012-05-29 Pau Rué , Núria Domedel-Puig , Jordi Garcia-Ojalvo , Antonio J. Pons

Unicellular organisms are open metabolic systems that need to process information about their external environment in order to survive. In most types of tissues and organisms, cells use calcium signaling to carry information from the…

Many cellular components are present in such low numbers that individual stochastic production and degradation events lead to significant fluctuations in molecular abundances. Although feedback control can, in principle, suppress such…

Molecular Networks · Quantitative Biology 2025-12-25 Ryan Ripsman , Brayden Kell , Andreas Hilfinger

Sagawa and Ueda established a fluctuation theorem of information exchange by revealing the role of correlations in stochastic thermodynamics and unified the non-equilibrium thermodynamics of measurement and feedback control [T. Sagawa and…

Statistical Mechanics · Physics 2019-03-26 Lee Jinwoo

We present a novel mathematical model of heterogeneous cell proliferation where the total population consists of a subpopulation of slow-proliferating cells and a subpopulation of fast-proliferating cells. The model incorporates two…

Cell Behavior · Quantitative Biology 2021-11-04 Sean T. Vittadello , Scott W. McCue , Gency Gunasingh , Nikolas K. Haass , Matthew J. Simpson

Interference shapes the interplay between capacity and coverage in cellular networks. However, interference is non-deterministic and depends on various system and channel parameters including user scheduling, frequency reuse, and fading…

Information Theory · Computer Science 2015-04-16 Naeem Akl , Jihad Fahs , Zaher Dawy

Molecular machines transduce free energy between different forms throughout all living organisms. While truly machines in their own right, unlike their macroscopic counterparts molecular machines are characterized by stochastic…

Statistical Mechanics · Physics 2025-06-13 Matthew P. Leighton , David A. Sivak

We consider dynamic versions of the mutual information of lifetime distributions, with focus on past lifetimes, residual lifetimes and mixed lifetimes evaluated at different instants. This allows to study multicomponent systems, by…

Probability · Mathematics 2016-05-10 Jafar Ahmadi , Antonio Di Crescenzo , Maria Longobardi

A major obstacle in analyzing the evolution of information exchange and processing is our insufficient understanding of the underlying signaling and decision-making biological mechanisms. For instance, it is unclear why are humans unique in…

Populations and Evolution · Quantitative Biology 2008-09-06 A. Feigel

We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are sub-cellular elements, which interact with each other through phenomenological intra- and…

Quantitative Methods · Quantitative Biology 2007-05-23 T. J. Newman

Biological systems are known to communicate by diffusing chemical signals in the surrounding medium. However, most of the recent literature has neglected the electron transfer mechanism occurring amongst living cells, and its role in…

Emerging Technologies · Computer Science 2015-02-23 Nicolo Michelusi , Sahand Pirbadian , Mohamed Y. El-Naggar , Urbashi Mitra

Communication in a network generally takes place through a sequence of intermediate nodes connected by communication channels. In the standard theory of communication, it is assumed that the communication network is embedded in a classical…

Besides mimicking bio-chemical and multi-scale communication mechanisms, molecular communication forms a theoretical framework for virus infection processes. Towards this goal, aerosol and droplet transmission has recently been modeled as a…

Information Theory · Computer Science 2021-01-29 Peter Adam Hoeher , Martin Damrath , Sunasheer Bhattacharjee , Max Schurwanz

We study the signal percolation through heart-like biological system. Starting from an initial distribution of waiting and inactive cells with probabilities $p$ and $(1-p)$ respectively, the signal propagation is observed in terms of active…

Statistical Mechanics · Physics 2024-07-12 Md Aquib Molla , Sanchari Goswami

Plants and insects communicate using chemical signals like volatile organic compounds (VOCs). A plant encodes information using different blends of VOCs, which propagate through the air to represent different symbolic information. This…

Information Theory · Computer Science 2026-02-10 Bitop Maitra , Murat Kuscu , Ozgur B. Akan

The dispersal of cells from an initially constrained location is a crucial aspect of many physiological phenomena ranging from morphogenesis to tumour spreading. In such processes, the way cell-cell interactions impact the motion of single…

Causal ordering of key events in the cell cycle is essential for proper functioning of an organism. Yet, it remains a mystery how a specific temporal program of events is maintained despite ineluctable stochasticity in the biochemical…

Molecular Networks · Quantitative Biology 2017-03-30 Farshid Jafarpour , Michael Vennettilli , Srividya Iyer-Biswas
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