32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society ATP Consumption and Neural Electrical Activity: A Physiological.

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Presentation transcript:

32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society ATP Consumption and Neural Electrical Activity: A Physiological Model for Brain Imaging Rita Gafaniz and J. Miguel Sanches Institute for Systems and Robotics Instituto Superior Técnico Lisbon, Portugal 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

Motivation The relation between neural electrical activity and oxygen consumption is the key issue in almost all brain image modalities. 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

Hemodynamic Response Function ATP consumption versus Electrical Activity Energy Metabolism e.g. Mitochondria and Glycolysis BOLD Membrane Blood flow Vasculature O2, C02 & Glc 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

Goal Practical, tractable and simultaneously accurate mathematical model to describe the relation between neural electrical activity and oxygen consumption is needed. A physiologically-based mathematical model relating the electrical activity with the corresponding ATP consumption rate, ATPr, is proposed. 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

- + Model Na/K-ATPase (Pump) K leak channels (LC) Na leak channels (LC) Na Voltage Gated Channels (VGC) K Voltage Gated Channels (VGC) Mitochondria Cellular Membrane + 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

Mathematical Formulation Where Na is the concentration in the intracellular space Na,K-ATPase Consumption Rate 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

Electrical Activity and Ionic Dynamics Hodgkin-Huxley 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

A second order LTI system with a zero Transfer Function A second order LTI system with a zero 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

Pole-Zero Map One pole “almost” cancel with the zero Imaginary Axis Real Axis 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

First order approximation 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

Frequency response Response to a 100Hz impulse train of spikes 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

Results f=250Hz = 1570.8 rad/sec 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

Results Sustained Activation vs Repetitive Activation Input  mean value of the action potential sequence Good agreement with the results published by [Aubert & Costalat (2002)] Time constant Consistent with experimental work for mammalian CNS neurons 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

Conclusions and future work A physiological based model for the ATP expenditure as function of the electrical activity A second order linear system with a zero. Parameters tuned with data obtained from the literature. Concordance with more complex models described in the literature. Validation with more real data Energy metabolism modeling 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

New Model 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society

THANKS 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society