Data and implication based comparison of two chronic myeloid leukemia models
-
1.
School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287
-
2.
Department of Mathematics, North Carolina State University, Raleigh, NC 27695
-
3.
School of Mathematics and Statistical Sciences, Arizona State University, Tempe, AZ 85281
-
Received:
01 October 2012
Accepted:
29 June 2018
Published:
01 August 2013
-
-
MSC :
Primary: 34K20, 92C50; Secondary: 92D25.
-
-
Chronic myeloid leukemia, a disorder of hematopoietic stem cells, is currently treated using targeted molecular therapy with imatinib. We compare two models that describe the treatment of CML, a multi-scale model (Model 1) and a simple cell competition model (Model 2).Both models describe the competition of leukemic and normal cells, however Model 1 also describes the dynamics of BCR-ABL, the oncogene targeted by imatinib, at the sub-cellular level. Using clinical data, we analyze the differences in estimated parameters between the models and the capacity for each model to predict drug resistance. We found that while both models fit the data well, Model 1 is more biologically relevant. The estimated parameter ranges for Model 2 are unrealistic, whereas the parameter ranges for Model 1 are close to values found in literature. We also found that Model 1 predicts long-term drug resistance from patient data, which is exhibited by both an increase in the proportion of leukemic cells as well as an increase in BCR-ABL/ABL%. Model 2, however, is not able to predict resistance and accurately model the clinical data. These results suggest that including sub-cellular mechanisms in a mathematical model of CML can increase the accuracy of parameter estimation and may help to predict long-term drug resistance.
Citation: R. A. Everett, Y. Zhao, K. B. Flores, Yang Kuang. Data and implication based comparison of two chronic myeloid leukemia models[J]. Mathematical Biosciences and Engineering, 2013, 10(5&6): 1501-1518. doi: 10.3934/mbe.2013.10.1501
-
Abstract
Chronic myeloid leukemia, a disorder of hematopoietic stem cells, is currently treated using targeted molecular therapy with imatinib. We compare two models that describe the treatment of CML, a multi-scale model (Model 1) and a simple cell competition model (Model 2).Both models describe the competition of leukemic and normal cells, however Model 1 also describes the dynamics of BCR-ABL, the oncogene targeted by imatinib, at the sub-cellular level. Using clinical data, we analyze the differences in estimated parameters between the models and the capacity for each model to predict drug resistance. We found that while both models fit the data well, Model 1 is more biologically relevant. The estimated parameter ranges for Model 2 are unrealistic, whereas the parameter ranges for Model 1 are close to values found in literature. We also found that Model 1 predicts long-term drug resistance from patient data, which is exhibited by both an increase in the proportion of leukemic cells as well as an increase in BCR-ABL/ABL%. Model 2, however, is not able to predict resistance and accurately model the clinical data. These results suggest that including sub-cellular mechanisms in a mathematical model of CML can increase the accuracy of parameter estimation and may help to predict long-term drug resistance.
References
[1]
|
British Journal of Cancer, 95 (2006), 1136-1141.
|
[2]
|
BLOOD, 102 (2003), 414A.
|
[3]
|
The New England Journal of Medicine, 340 (1999), 1330-1340.
|
[4]
|
PLoS Computational Biology, 5 (2009), 1-11.
|
[5]
|
American Journal of Health-System Pharmacy, 63 (2006), S10-S14.
|
[6]
|
Science, 293 (2001), 876-880.
|
[7]
|
Molecular and Cellular Biology, 26 (2006), 6082-6093.
|
[8]
|
PLoS ONE, 6 (2011), e22110.
|
[9]
|
Journal of Biological Dynamics, 4 (2010), 315-327.
|
[10]
|
PLoS ONE, 2 (2007), e990.
|
[11]
|
Biritish Journal of Cancer, 96 (2007), 697-680.
|
[12]
|
TRENDS in Pharmacological Sciences, 28 (2007), 197-199.
|
[13]
|
Nature, 435 (2005), 1267-1270.
|
[14]
|
Leukemia, 17 (2003), 2392-2400.
|
[15]
|
Blood Cancer Journal, 1 (2011), e48.
|
[16]
|
AIP Advances, 2 (2012), 011002.
|
[17]
|
Nature Medicine, 12 (2006), 1181-1184.
|
[18]
|
Clinical Cancer Research, 17 (2011), 6812-6821.
|
-
-
-
-