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Secondly, tumors arising in this model comprise basal and luminal cell equivalents, a feature also characteristic of basaloid human breast tumors [5], [6], [29].
The BRCA1-deficient tumours arising in this model showed a prolonged response to the clinical PARP inhibitor olaparib without signs of toxicity.
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A problem that can arise in this model concerns the fact that the network formation may not converge to a link stable network.
Long reaction times arise in this model as a result of the attractor configuration of the system and the relatively large time constants of the NMDA receptor-mediated currents.
In other words, the only way for new receptors to arise in this model is through duplication of existing ones.
Even though the tumors that arise in this model also express milk genes [ 61], it is presently unclear what the target cell is for transformation by HER2 in the human breast.
A previous study showed that the majority of tumor initiating cell activity for tumors arising in this mouse model were CD61-positive [11]; we found that Lrp5-positive cells also express CD61 (Fig. 2F and S5), so these two cell surface markers are co-expressed.
All terms arising in the model can be calculated recursively which allows an easy implementation and efficient simulation.
Other papers in this special issue cover applications of fractional differential equations arising in the modelling of human diseases associated with pathogens.
Second, it is not clear whether the mammary tumours arising in this WAPcre Brca1 F11/F11 Trp53 F5 6/F5 66 mouse model do or do not express ER, PR and ERBB2.
Homotopy decomposition method is given in [27] to solve a system of fractional nonlinear differential equations that arise in the model for HIV infection of CD4+ T-cells.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com