2017
DOI: 10.1371/journal.pone.0184651
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The role of backward cell migration in two-hit mutants’ production in the stem cell niche

Abstract: It has been discovered that there are two stem cell groups in the intestinal crypts: central stem cells (CeSCs), which are at the very bottom of the crypt, and border stem cells (BSCs), which are located between CeSCs and transit amplifying cells (TAs). Moreover, backward cell migration from BSCs to CeSCs has been observed. Recently, a bi-compartmental stochastic model, which includes CeSCs and BSCs, has been developed to investigate the probability of two-hit mutant production in the stem cell niche. In this … Show more

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Cited by 6 publications
(4 citation statements)
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“…Many mathematical models have been developed to study tumors’ initiation, and progression [ 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 ]. Some computational models include bone modeling, osteoblast cells, or osteosarcoma treatments [ 43 , 44 , 45 , 46 , 47 ].…”
Section: Discussionmentioning
confidence: 99%
“…Many mathematical models have been developed to study tumors’ initiation, and progression [ 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 ]. Some computational models include bone modeling, osteoblast cells, or osteosarcoma treatments [ 43 , 44 , 45 , 46 , 47 ].…”
Section: Discussionmentioning
confidence: 99%
“…There are many studies that use mathematical models to explain the dynamics of tumor growth, to develop clinical responses, to identify the right therapy combination, and to overcome drug resistance in various cancer types [ 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 ]. Although some studies include bone modeling, osteoblast cells, or osteosarcoma treatments [ 50 , 51 , 52 , 53 , 54 ], to the best of our knowledge, there is currently no mathematical model explaining the progression of osteosarcoma tumors.…”
Section: Introductionmentioning
confidence: 99%
“…Mathematical models are used in many studies to understand tumor growth dynamics, improve therapeutic responses, find the best treatment combination and overcome drug resistance in different cancer treatments [ 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 ]. The effect of radiotherapy and chemotherapy on tumor growth has been modelled using partial differential equations (PDEs), ordinary differential equations (ODEs) and linear quadratic models in breast and brain tumors [ 41 , 42 , 43 ].…”
Section: Introductionmentioning
confidence: 99%