@article{payne_model_2006,
	title = {A model of the interaction between autoregulation and neural activation in the brain},
	volume = {204},
	issn = {0025-5564},
	url = {http://www.sciencedirect.com/science/article/B6VHX-4KPN480-2/2/7203cff9b0a6e5ce81dcad7807d20ebe},
	doi = {10.1016/j.mbs.2006.08.006},
	abstract = {In this paper a model is proposed that predicts the response of the cerebral vasculature to changes in arterial blood pressure, arterial CO2 concentration and neural stimulation. Cerebral blood flow (CBF) is assumed to be controlled through changes in arterial compliance, and hence arterial resistance and volume, through three feedback mechanisms, which act in a linear additive manner, based on CBF, arterial CO2 and neural stimulus. Together with arterial, capillary and venous compartments, a tissue compartment is included, which contributes partly to the initial rise found in the deoxyhaemoglobin response to neural activation. Dynamic simulations of the model under different conditions show that there is significant interaction between the autoregulation and activation processes, and that the level of autoregulation has a strong influence on the CBF and deoxyhaemoglobin responses to neural activation. Overshoot in the deoxyhaemoglobin response is eliminated completely in the absence of this regulation. The feedback mechanism time constants significantly affect the CBF and deoxyhaemoglobin responses. Changes in arterial blood pressure (ABP) are found to have a strong influence on the neural activation response, with the amplitude of the response decreasing significantly at high baseline ABP. Dynamic changes in ABP also have a significant and potentially confounding impact on the measured deoxyhaemoglobin response to neural activation.},
	number = {2},
	urldate = {2009-01-07},
	journal = {Mathematical Biosciences},
	author = {Payne, S.J.},
	month = dec,
	year = {2006},
	keywords = {BOLD, balloonmodel, haemodynamics},
	pages = {260--281},
	file = {payne2006.pdf:/Users/nickb/Zotero/storage/G2RU4GH5/payne2006.pdf:application/pdf;ScienceDirect Snapshot:/Users/nickb/Zotero/storage/UUBM2GEQ/science.html:text/html}
}

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Cerebral blood flow (CBF) is assumed to be controlled through changes in arterial compliance, and hence arterial resistance and volume, through three feedback mechanisms, which act in a linear additive manner, based on CBF, arterial CO2 and neural stimulus. Together with arterial, capillary and venous compartments, a tissue compartment is included, which contributes partly to the initial rise found in the deoxyhaemoglobin response to neural activation. Dynamic simulations of the model under different conditions show that there is significant interaction between the autoregulation and activation processes, and that the level of autoregulation has a strong influence on the CBF and deoxyhaemoglobin responses to neural activation. Overshoot in the deoxyhaemoglobin response is eliminated completely in the absence of this regulation. The feedback mechanism time constants significantly affect the CBF and deoxyhaemoglobin responses. Changes in arterial blood pressure (ABP) are found to have a strong influence on the neural activation response, with the amplitude of the response decreasing significantly at high baseline ABP. 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