2013
DOI: 10.1158/0008-5472.can-13-1768
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The Role of Cell Density and Intratumoral Heterogeneity in Multidrug Resistance

Abstract: Recent data have demonstrated that cancer drug resistance reflects complex biological factors including tumor heterogeneity, varying growth, differentiation, apoptosis pathways, and cell density. As a result, there is a need to find new ways to incorporate these complexities in the mathematical modeling of multidrug resistance. Here, we derive a novel structured population model that describes the behavior of cancer cells under selection with cytotoxic drugs. Our model is designed to estimate intratumoral hete… Show more

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Cited by 66 publications
(69 citation statements)
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“…On the other hand, robust cells, with a high survival potential, experience much less stress in the presence of the drugs and will not be induced to lower their proliferation rate. Motivated by these considerations, here, we propose an individual-based (I-B) computational model (11,(26)(27)(28) and an integro-differential equation (IDE) model (29)(30)(31) of the phenotype evolution observed in ref. 12.…”
Section: Extended Individual-based Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…On the other hand, robust cells, with a high survival potential, experience much less stress in the presence of the drugs and will not be induced to lower their proliferation rate. Motivated by these considerations, here, we propose an individual-based (I-B) computational model (11,(26)(27)(28) and an integro-differential equation (IDE) model (29)(30)(31) of the phenotype evolution observed in ref. 12.…”
Section: Extended Individual-based Modelmentioning
confidence: 99%
“…Unlike previous models of resistance in cancer cell populations that focus on the evolution of just one phenotypic trait (11,(27)(28)(29)(30)(31), here, we introduce a novel strategy to model the effects of stress-induced adaptation, and we focus on the evolution of two phenotypic traits that show substantial variability during drug treatment and after drug washout: a cell's survival potential and proliferation potential. Throughout, we consider the proliferation potential and survival potential of cells separately.…”
mentioning
confidence: 99%
“…As examples, pre-existing BCR-ABL kinase domain mutations confer resistance to the tyrosine kinase inhibitor imatinib in chronic myeloid leukemia patients [66,36], and pre-existing MEK1 mutations confer resistance to BRAF inhibitors in melanoma patients [8]. Many mathematical models have considered how the presence of preexisting resistant cells impact cancer progression and treatment [37,39,58,40,23,24,70,16,60,63,4,22,44,3,32,80,29,49,57,59,77,68,9,10].On the other hand, acquired drug resistance broadly describes the case in which drug resistance develops during the course of therapy from a population of cells that were initially drug sensitive [34]. The term "acquired resistance" is really an umbrella term for two distinct phenomena, which complicates the study of acquired resistance.…”
mentioning
confidence: 99%
“…Mathematical modeling studies in particular have been used to explore both broad and detailed aspects of cancer drug resistance, as reviewed in [43,7,25]. The fundamental question of how the presence of drug resistant cells influences tumor dynamics and treatment outcomes has been thoroughly explored in mathematical models under a wide variety of assumptions [14,37,39,47,58,40,23,24,70,16,45,60,63,4,22,33,44,52,65,3,32,80,13,26,29,46,49,51,57,59,77,18,68,1,9,10,20]. Cancer models have also been utilized to assess how various underlying mechanisms contribute to the resistant phenotype [80,13,59,18,20], and to calculate the probability that drug resistance emerges within a specified time frame, be it before or during cancer treatment …”
mentioning
confidence: 99%
“…In order to address these questions, in [6] we proposed an Individual-Based (I-B) computational model [4,[7][8][9] and an Integro-Differential Equation (IDE) model [10][11][12] of the phenotype evolution observed in [1]. Such models can be used as in silico laboratories to test verbal hypotheses, and uncover mechanisms that underlie emergent features of cancer cell populations.…”
Section: Introductionmentioning
confidence: 99%