scholarly journals 1P312 A mathematical model of molecular motors with self-organized reactive field

2005 ◽  
Vol 45 (supplement) ◽  
pp. S109
Author(s):  
M. Ohtaki ◽  
S. Ishiwata
2009 ◽  
Vol 04 (01n02) ◽  
pp. 5-15 ◽  
Author(s):  
GUILLAUME ROMET-LEMONNE ◽  
EMMANUELE HELFER ◽  
VINCENT DELATOUR ◽  
BEATA BUGYI ◽  
MONTSERRAT BOSCH ◽  
...  

Cell motility, one of the modular activities of living cells, elicits the response of the cell to extra-cellular signals, to move directionally, feed, divide or transport materials. The combined actions of molecular motors and re-modeling of the cytoskeleton generate forces and movement. Here we describe mechanistic approaches of force and movement produced by site-directed assembly of actin filaments. The insight derived from a biochemical analysis of the protein machineries involved in "actin-based motile processes" like cell protrusions, invaginations, organelle propulsion, is used to build reconstituted assays that mimic cellular processes, using several protein machineries known to initiate filament assembly by different mechanisms. Reconstitution of complex self-organized systems presents a broad variety of interests. Reconstituting actin-based movement of a functionalized particle from a minimum number of pure proteins, first used to prove the general thermodynamic principles at work in motility, then was the basis for fully controlled physical measurements of forces produced by polymerization of actin against an obstacle and of the mechanical properties of the resulting polymer arrays. In addition, measurements at the mesoscopic scale (trajectories, velocity, polymer mechanics, fluorescence of specifically labeled components of the actin array, use of mutated proteins) can provide further insight into the molecular mechanisms underlying motility.


1990 ◽  
Vol 147 (4) ◽  
pp. 553-571 ◽  
Author(s):  
Scott Camazine ◽  
James Sneyd ◽  
Michael J. Jenkins ◽  
J.D. Murray

2021 ◽  
Author(s):  
Leif Zinn-Brooks ◽  
Marcus L. Roper

AbstractMultinucleate cells occur in every biosphere and across the kingdoms of life, including in the human body as muscle cells and bone-forming cells. Data from filamentous fungi suggest that, even when bathed in a common cytoplasm, nuclei are capable of autonomous behaviors, including division. How does this potential for autonomy affect the organization of cellular processes between nuclei? Here we analyze a simplified model of circadian rhythm, a form of cellular oscillator, in a mathematical model of the filamentous fungus Neurospora crassa. Our results highlight the role played by mRNA-protein phase separation to keep mRNAs close to the nuclei from which they originate, while allowing proteins to diffuse freely between nuclei. Our modeling shows that syncytism allows for extreme mRNA efficiency — we demonstrate assembly of a robust oscillator with transcription levels 104-fold less than in comparable uninucleate cells. We also show self-organized division of the labor of mRNA production, with one nucleus in a two-nucleus syncytium producing at least twice as many mRNAs as the other in 30% of cycles. This division can occur spontaneously, but division of labor can also be controlled by regulating the amount of cytoplasmic volume available to each nucleus. Taken together, our results show the intriguing richness and potential for emergent organization among nuclei in multinucleate cells. They also highlight the role of previously studied mechanisms of cellular organization, including nuclear space control and localization of mRNAs through RNA-protein phase separation, in regulating nuclear coordination.Author summaryCircadian rhythms are among the most researched cellular processes, but limited work has been done on how these rhythms are coordinated between nuclei in multinucleate cells. In this work, we analyze a mathematical model for circadian oscillations in a multinucleate cell, motivated by frequency mRNA and protein data from the filamentous fungus Neurospora crassa. Our results illuminate the importance of mRNA-protein phase separation, in which mRNAs are kept close to the nucleus in which they were transcribed, while proteins can diffuse freely across the cell. We demonstrate that this phase separation allows for a robust oscillator to be assembled with very low mRNA counts. We also investigate how the labor of transcribing mRNAs is divided between nuclei, both when nuclei are evenly spaced across the cell and when they are not. Division of this labor can be regulated by controlling the amount of cytoplasmic volume available to each nucleus. Our results show that there is potential for emergent organization and extreme mRNA efficiency in multinucleate cells.


2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Jianxin Lin ◽  
Rui Song ◽  
Jifeng Dai ◽  
Pengpeng Jiao

The pedestrian guiding sign (PGS) is used to lead people within the transportation terminal to their directions efficiently and without boundaries. In this paper, we aim to optimize the guiding signs for people in the comprehensive transportation terminal with a mathematical model, which describes the pedestrian's reaction, judgment, and perception of the outline about the guiding signs, as well as pedestrian's moving status through self-organized characteristic behavior. Furthermore, the model also reflects the information intensity of the guiding signs within the pedestrian's visual field which is taken as the influence level score of PGS. In order to solve the model, cellular automation (CA) is employed to simulate the characteristics of the pedestrians such as crowd moving and sign selection.


2008 ◽  
Vol 84 (6) ◽  
pp. 68002 ◽  
Author(s):  
S. Günther ◽  
K. Kruse

2017 ◽  
Vol 5 (2) ◽  
pp. 1700613 ◽  
Author(s):  
Jian Sun ◽  
Ruochen Lan ◽  
Yanzi Gao ◽  
Meng Wang ◽  
Wanshu Zhang ◽  
...  

2014 ◽  
Vol 24 (02) ◽  
pp. 1450023 ◽  
Author(s):  
Cristiane Stegemann ◽  
Paulo C. Rech

We report results of a numerical investigation on a two-dimensional cross-section of the parameter-space of a set of three autonomous, eight-parameter, first-order ordinary differential equations, which models tumor growth. The model considers interaction between tumor cells, healthy tissue cells, and activated immune system cells. By using Lyapunov exponents to characterize the dynamics of the model in a particular parameter plane, we show that it presents typical self-organized periodic structures embedded in a chaotic region, that were before detected in other models. We show that these structures organize themselves in two independent ways: (i) as spirals that coil up toward a focal point while undergoing period-adding bifurcations and, (ii) as a sequence with a well-defined law of formation, constituted by two mixed period-adding bifurcation cascades.


2005 ◽  
Vol 88 (5) ◽  
pp. 3118-3132 ◽  
Author(s):  
Stefan Klumpp ◽  
Theo M. Nieuwenhuizen ◽  
Reinhard Lipowsky

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