Stable size distribution of microparticles in solid-disperse systems

1974 ◽  
Vol 17 (7) ◽  
pp. 1035-1037
Author(s):  
V. I. Psarev
2017 ◽  
Vol 28 (11) ◽  
pp. 2820-2829 ◽  
Author(s):  
Christian Fischer ◽  
Maciej Jaskulski ◽  
Evangelos Tsotsas

2018 ◽  
Vol 41 (8) ◽  
pp. 2894-2905 ◽  
Author(s):  
Luis M. Abia ◽  
Óscar Angulo ◽  
Juan Carlos López-Marcos ◽  
Miguel Ángel López-Marcos

1999 ◽  
Vol 07 (03) ◽  
pp. 285-306
Author(s):  
HAMILTON F. LECKAR ◽  
LAÉRCIO L. VENDITE

A size-structured model is developed to study the growth of tumor cell populations during chemotherapeutic treatment with two non-cross resistant drugs, [Formula: see text] and [Formula: see text]. The cells reproduce by fission. Four types of cells are considered: sensitive cells to both [Formula: see text] and [Formula: see text], cells that are resistant to [Formula: see text] only, cells that are resistant to [Formula: see text] only, and cells that are resistant to both [Formula: see text] and [Formula: see text]. Resistant cells arise by spontaneous genetic mutation from sensitive cells and are selected during the growth of the mixed population. The model consists on a system of linear partial differential equations describing the size-density of each type of cells. That corresponds to chemotherapeutic treatment on a given time sequence intervals such that, we continuously apply [Formula: see text] at a first interval and next we apply [Formula: see text] at a second interval, and so forth. We obtain a stable size-distribution theorem for this case.


2012 ◽  
Vol 71 (8) ◽  
pp. 694-701 ◽  
Author(s):  
Alberto Serrano-Pozo ◽  
Matthew L. Mielke ◽  
Alona Muzitansky ◽  
Teresa Gómez-Isla ◽  
John H. Growdon ◽  
...  

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