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Spatial gradients of diffusible signalling molecules play crucial roles in controlling diverse cellular behaviour such as cell differentiation, tissue patterning and chemotaxis. In this paper, we report the design and testing of a…

Quantitative Methods · Quantitative Biology 2016-12-15 Yasushi Saka , Murray MacPherson , Claudiu V. Giuraniuc

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

Within the domain of molecular communications, researchers mimic the techniques in nature to come up with alternative communication methods for collaborating nanomachines. This work investigates the channel transfer function for molecular…

Information Theory · Computer Science 2014-04-18 H. Birkan Yilmaz , Akif Cem Heren , Tuna Tugcu , Chan-Byoung Chae

Biomolecules, such as proteins and RNAs, can phase separate in the cytoplasm of cells to form biomolecular condensates. Such condensates are liquid-like droplets that can wet biological surfaces such as membranes. Many molecules that…

Soft Condensed Matter · Physics 2024-09-04 Xueping Zhao , Susanne Liese , Alf Honigmann , Frank Jülicher , Christoph A. Weber

We study both theoretically and experimentally the process of subdiffusive substance releasing from a thick membrane. The theoretical model uses the subdiffusion equation with fractional time derivative and specific boundary conditions at…

Soft Condensed Matter · Physics 2008-09-11 Tadeusz Kosztołowicz , Kazimierz Dworecki , Katarzyna D. Lewandowska

In diffusion-based molecular communication (DMC), one important functionality of a transmitter nano-machine is signal modulation. In particular, the transmitter has to be able to control the release of signaling molecules for modulation of…

Emerging Technologies · Computer Science 2016-04-20 Hamidreza Arjmandi , Arman Ahmadzadeh , Robert Schober , Masoumeh Nasiri Kenari

Optical tracking in vivo experiments reveal that diffusion of particles in biological cells is strongly enhanced in the presence of ATP and the experimental data for animal cells could previously be reproduced within a phenomenological…

Soft Condensed Matter · Physics 2017-03-22 Kento Yasuda , Ryuichi Okamoto , Shigeyuki Komura , Alexander S. Mikhailov

The study of interactions between biomimetic membranes and micron-sized particles is crucial for understanding various biological processes. Here, we control microparticle spontaneous engulfment by giant lipid vesicles by tuning particle…

Soft Condensed Matter · Physics 2025-01-22 Clément Marque , Gaetano D'Avino , Domenico Larobina , Aude Michel , Ali Abou-Hassan , Antonio Stocco

In this paper, a novel fluid dynamics-based approach to channel modeling, which considers liquid droplets as information carriers instead of molecules in the molecular communication (MC) channel, is proposed for practical macroscale MC…

Signal Processing · Electrical Eng. & Systems 2021-01-05 Fatih Gulec , Baris Atakan

Biological cells utilize membranes and liquid-like droplets, known as biomolecular condensates, to structure their interior. The interaction of droplets and membranes, despite being involved in several key biological processes, is so far…

Soft Condensed Matter · Physics 2024-02-21 Marcel Mokbel , Dominic Mokbel , Susanne Liese , Christoph A. Weber , Sebastian Aland

In quorum sensing (QS), bacteria exchange molecular signals to work together. An analytically-tractable model is presented for characterizing QS signal propagation within a population of bacteria and the number of responsive cooperative…

Information Theory · Computer Science 2020-09-03 Yuting Fang , Adam Noel , Andrew W. Eckford , Nan Yang , Jing Guo

Biogels made of crosslinked polymers such as proteins or polysaccharides behave as porous soft solids and store large amount of solvent. These gels undergo spontaneous aging, called syneresis that consists in the shrinkage of the gel matrix…

Soft Condensed Matter · Physics 2015-02-24 Thibaut Divoux , Bosi Mao , Patrick Snabre

This paper focuses on the derivation of the distribution of diffused particles absorbed by an agent in a bounded environment. In particular, we analogously consider to derive the impulse response of a molecular communication channel in 2-D…

Emerging Technologies · Computer Science 2019-05-01 Fatih Dinc , Bayram Cevdet Akdeniz , Ecda Erol , Dilara Gokay , Ezgi Tekgul , Ali Emre Pusane , Tuna Tugcu

In the present work we simulate the basic two-dimensional dynamics of swarming E. coli bacteria on the surface of a moderately soft agar plate. Individual bacteria are modelled by self-propelled ridged bodies (agents), which interact with…

Soft Condensed Matter · Physics 2016-12-31 David Hansmann , Guido Fier , Rubén Carlos Buceta

Since its foundations, more than one hundred years ago, the field of structural biology has strived to understand and analyze the properties of molecules and their interactions by studying the structure that they take in 3D space. However,…

Biomolecules · Quantitative Biology 2023-02-27 Gabriele Corso

Diffusion in cell membranes is not just simple two-dimensional Brownian motion, but typically depends on the timescale of the observation. The physical origins of this anomalous sub-diffusion are unresolved, and model systems capable of…

Biological Physics · Physics 2017-10-25 H. L. E. Coker , M. R. Cheetham , D. R. Kattnig , Y. J. Wang , S. Garcia-Manyes , M. I. Wallace

Various biological cells secrete diffusing chemical compounds into their environment for communication purposes. Secretion usually takes place over the cell membrane in a spatially heterogeneous manner. Mathematical models of these…

Numerical Analysis · Mathematics 2025-11-20 Qiyao Peng , Sander C. Hille

Microfluidic droplet screens serve as an innovative platform for high-throughput biotechnology, enabling significant advancements in discovery, product optimization, and analysis. This review sheds light on the emerging trend of interaction…

Quantitative Methods · Quantitative Biology 2023-09-11 Carolus Vitalis , Tobias Wenzel

A new experimental colonial pattern and pattern transition observed in E. coli MG1655 swarming cells grown on semi-solid agar are described. We present a reaction-diffusion model that, taking into account the slime generated by these cells…

Pattern Formation and Solitons · Physics 2007-05-23 M. -P. Zorzano , D. Hochberg , M. -T. Cuevas , J. -M. Gomez-Gomez

Local drug delivery has received much recognition in recent years, yet it is still unpredictable how drug efficacy depends on physicochemical properties and delivery kinetics. The purpose of the current study is to provide a useful…

Dynamical Systems · Mathematics 2016-01-26 Koyel Chakravarty , D C Dalal
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