scholarly journals Cell-to-cell variation sets a tissue-rheology–dependent bound on collective gradient sensing

2017 ◽  
Vol 114 (47) ◽  
pp. E10074-E10082 ◽  
Author(s):  
Brian A. Camley ◽  
Wouter-Jan Rappel

When a single cell senses a chemical gradient and chemotaxes, stochastic receptor–ligand binding can be a fundamental limit to the cell’s accuracy. For clusters of cells responding to gradients, however, there is a critical difference: Even genetically identical cells have differing responses to chemical signals. With theory and simulation, we show collective chemotaxis is limited by cell-to-cell variation in signaling. We find that when different cells cooperate, the resulting bias can be much larger than the effects of ligand–receptor binding. Specifically, when a strongly responding cell is at one end of a cell cluster, cluster motion is biased toward that cell. These errors are mitigated if clusters average measurements over times long enough for cells to rearrange. In consequence, fluid clusters are better able to sense gradients: We derive a link between cluster accuracy, cell-to-cell variation, and the cluster rheology. Because of this connection, increasing the noisiness of individual cell motion can actually increase the collective accuracy of a cluster by improving fluidity.

2005 ◽  
Vol 6 (1) ◽  
pp. 21-31 ◽  
Author(s):  
Michael Wurzel ◽  
Carlo Schaller ◽  
Matthias Simon ◽  
Andreas Deutsch

The malignant brain tumourGlioblastoma multiforme(GBM) displays a highly invasive behaviour. Spreading of the malignant cells appears to be guided by the white matter fibre tracts within the brain. In order to understand the global growth process we introduce a lattice-gas cellular automaton model which describes the local interaction between individual malignant cells and their neighbourhood. We consider interactions between cells (brain cells and tumour cells) and between malignant cells and the fibre tracts in the brain, which are considered as a prepattern. The prepattern implies persistent individual cell motion along the fibre structure. Simulations with the model show that only the inclusion of the prepattern results in invading tumour and growing tumour islets in front of the expanding tumour bulk (i.e. the growth pattern observed in clinical practice). Our results imply that the infiltrative growth of GBMs is, in part, determined by the physical structure of the surrounding brain rather than by intrinsic properties of the tumour cells.


2012 ◽  
Vol 198 (6) ◽  
pp. 1075-1091 ◽  
Author(s):  
Nachiket D. Kashikar ◽  
Luis Alvarez ◽  
Reinhard Seifert ◽  
Ingo Gregor ◽  
Oliver Jäckle ◽  
...  

Sperm, navigating in a chemical gradient, are exposed to a periodic stream of chemoattractant molecules. The periodic stimulation entrains Ca2+ oscillations that control looping steering responses. It is not known how sperm sample chemoattractant molecules during periodic stimulation and adjust their sensitivity. We report that sea urchin sperm sampled molecules for 0.2–0.6 s before a Ca2+ response was produced. Additional molecules delivered during a Ca2+ response reset the cell by causing a pronounced Ca2+ drop that terminated the response; this reset was followed by a new Ca2+ rise. After stimulation, sperm adapted their sensitivity following the Weber–Fechner law. Taking into account the single-molecule sensitivity, we estimate that sperm can register a minimal gradient of 0.8 fM/µm and be attracted from as far away as 4.7 mm. Many microorganisms sense stimulus gradients along periodic paths to translate a spatial distribution of the stimulus into a temporal pattern of the cell response. Orchestration of temporal sampling, resetting, and adaptation might control gradient sensing in such organisms as well.


2020 ◽  
Vol 27 (6) ◽  
Author(s):  
Inga Saknite ◽  
Zijun Zhao ◽  
J. Randall Patrinely ◽  
Michael Byrne ◽  
Madan Jagasia ◽  
...  

Nature ◽  
2006 ◽  
Vol 439 (7075) ◽  
pp. 502-502
Author(s):  
Alejandro Colman-Lerner ◽  
Andrew Gordon ◽  
Eduard Serra ◽  
Tina Chin ◽  
Orna Resnekov ◽  
...  

2013 ◽  
Vol 135 (7) ◽  
Author(s):  
J. C. Dallon ◽  
Matthew Scott ◽  
W. V. Smith

A force based model of cell migration is presented which gives new insight into the importance of the dynamics of cell binding to the substrate. The main features of the model are the focus on discrete attachment dynamics, the treatment of the cellular forces as springs, and an incorporation of the stochastic nature of the attachment sites. One goal of the model is to capture the effect of the random binding and unbinding of cell attachments on global cell motion. Simulations reveal one of the most important factor influencing cell speed is the duration of the attachment to the substrate. The model captures the correct velocity and force relationships for several cell types.


1958 ◽  
Vol 148 (932) ◽  
pp. 362-369 ◽  

Genetical studies, centred as they have been on the relations between parent and sexual offspring, have thrown great emphasis on the nuclear control of heritable differences. True, other factors have been found of importance in particular cases. The effect of the mother especially on quantitative characters is, for example, a commonplace in mammals, and a number of instances are known in which transmission from parent to offspring is by way of the cytoplasm. These appear, however, more as exceptions springing from special circumstances, than as manifestations of any general principle; they constitute but small breaks in the smooth front of nuclear control. Thus, despite the occasional indication of cytoplasmic determinants showing continuity and permanence even when viewed on the genetical time-axis of generations, the nucleus emerges predominant in the long-term determination of differences among individuals. At the same time, the cytoplasm has shown itself to be of importance in a different way. It is the seat and agent of the action by which nuclear genes are recognized; and the not inconsiderable evidence available to us shows the genes to work through the agency of the cytoplasm even where their action is to control the behaviour of the nucleus itself (Mather 1948 b ). Indeed, the character of a cell in the immediate sense is the character of its cytoplasm, even though ultimately this in its turn may be the outcome of nuclear action (Mather 1948 a ). When, therefore, we turn to the relation of cells and tissues within an individual soma, and look at the determination of differences on the time axis, not of generations but of cell-heredity, the cytoplasm emerges as a key agent in the system. An understanding of its organization, structure and functioning is as essential as an understanding of the nucleus and the way it does its work. We can afford in fact to neglect neither; on our grasp of the essentially symbiotic relations between nucleus and cytoplasm, our appreciation of the parts they both play in the cell as a whole, depends our insight into development and differentiation. Our need for knowledge of the cytoplasm is the more obvious, because our ignorance of it in this connexion is the greater. Nevertheless, we should recognize that our knowledge of the nucleus has sprung largely from the study of long term heredity; nucleus and genes could well come to wear a different appearance when we turn to consider them in relation to cell variation within a soma.


2016 ◽  
Vol 311 (2) ◽  
pp. H395-H403 ◽  
Author(s):  
Naoki Takeishi ◽  
Yohsuke Imai ◽  
Shunichi Ishida ◽  
Toshihiro Omori ◽  
Roger D. Kamm ◽  
...  

A numerical analysis is presented of cell adhesion in capillaries whose diameter is comparable to or smaller than that of the cell. In contrast to a large number of previous efforts on leukocyte and tumor cell rolling, much is still unknown about cell motion in capillaries. The solid and fluid mechanics of a cell in flow was coupled with a slip bond model of ligand-receptor interactions. When the size of a capillary was reduced, the cell always transitioned to “bullet-like” motion, with a consequent decrease in the velocity of the cell. A state diagram was obtained for various values of capillary diameter and receptor density. We found that bullet motion enables firm adhesion of a cell to the capillary wall even for a weak ligand-receptor binding. We also quantified effects of various parameters, including the dissociation rate constant, the spring constant, and the reactive compliance on the characteristics of cell motion. Our results suggest that even under the interaction between P-selectin glycoprotein ligand-1 (PSGL-1) and P-selectin, which is mainly responsible for leukocyte rolling, a cell is able to show firm adhesion in a small capillary. These findings may help in understanding such phenomena as leukocyte plugging and cancer metastasis.


2015 ◽  
Vol 25 (10) ◽  
pp. 569-578 ◽  
Author(s):  
James Eberwine ◽  
Junhyong Kim

Nature ◽  
2005 ◽  
Vol 437 (7059) ◽  
pp. 699-706 ◽  
Author(s):  
Alejandro Colman-Lerner ◽  
Andrew Gordon ◽  
Eduard Serra ◽  
Tina Chin ◽  
Orna Resnekov ◽  
...  

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