discrete particle model
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2021 ◽  
Author(s):  
Christopher E Miles ◽  
Jie Zhu ◽  
Alex Mogilner

Intracellular forces shape cellular organization and function. One example is the mitotic spindle, a cellular machine consisting of multiple chromosomes and centrosomes which interact via dynamic microtubule filaments and motor proteins, resulting in complicated spatially dependent forces. For a cell to divide properly, is important for the spindle to be bipolar, with chromosomes at the center and multiple centrosomes clustered into two 'poles' at opposite sides of the chromosomes. Experimental observations show that in unhealthy cells, the spindle can take on a variety of patterns. What forces drive each of these patterns? It is known that attraction between centrosomes is key to bipolarity, but what the prevents the centrosomes from collapsing into a monopolar configuration? Here, we explore the hypothesis that torque rotating chromosome arms into orientations perpendicular to the centrosome-centromere vector promotes spindle bipolarity. To test this hypothesis, we construct a pairwise-interaction model of the spindle. On a continuum version of the model, an integro-PDE system, we perform linear stability analysis and construct numerical solutions which display a variety of spatial patterns. We also simulate a discrete particle model resulting in a phase diagram that confirms that the spindle bipolarity emerges most robustly with torque. Altogether, our results suggest that rotational forces may play an important role in dictating spindle patterning.


2021 ◽  
Vol 147 (9) ◽  
pp. 04021123
Author(s):  
Michele Angiolilli ◽  
Madura Pathirage ◽  
Amedeo Gregori ◽  
Gianluca Cusatis

2021 ◽  
Vol 236 ◽  
pp. 112000
Author(s):  
Eliška Janouchová ◽  
Anna Kučerová ◽  
Jan Sýkora ◽  
Jan Vorel ◽  
Roman Wan-Wendner

2020 ◽  
Vol MA2020-02 (33) ◽  
pp. 2090-2090
Author(s):  
Daniel Niblett ◽  
Vahid J. Niasar ◽  
Stuart Holmes

Wear ◽  
2020 ◽  
Vol 460-461 ◽  
pp. 203450
Author(s):  
Hassan Pouraria ◽  
Farzin Darihaki ◽  
Ki Heum Park ◽  
Siamack A. Shirazi ◽  
Yutaek Seo

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