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University of New Hampshire

Theses/Dissertations

2005

Biomedical

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Nonlinear Dynamics Of Blood Flow In Simple Microvascular Networks, Fan Wu Jan 2005

Nonlinear Dynamics Of Blood Flow In Simple Microvascular Networks, Fan Wu

Doctoral Dissertations

It has been found that spontaneous oscillations of nodal pressures, hematocrit, and blood velocity can occur in microvascular networks in the absence of biological control. In this paper, both analytical and numerical methods have been used to investigate the nonlinear dynamics of microvascular blood flow in simple networks. First, the steady state solutions for the system are found. Then the governing coupled PDE's are transformed into state dependent time delay differential equations, DDE's. The DDE's are then linearized about a steady state and normalized.

The characteristic equation for the network is found by assuming the linearized DDE's have a nontrivial …


Sensing The Human Alpha Rhythm Using A Non-Contact Electroencephalographic (Eeg) Electrode, Wayne J. Smith Ii. Jan 2005

Sensing The Human Alpha Rhythm Using A Non-Contact Electroencephalographic (Eeg) Electrode, Wayne J. Smith Ii.

Doctoral Dissertations

The electroencephalogram is the recording of bioelectrical potentials on the scalp due to neural current sources in the brain and are typically recorded using wet surface electrodes that make ohmic contact with the scalp surface using an electrolyte gel. Unfortunately, wet electrodes are intrusive to the user, problematic for EEG studies requiring high spatial resolution, and are unsuitable for long-duration EEG recordings. Wet electrodes ultimately limit spatial resolution since the gel can short neighboring electrodes. They also do not meet long-duration recording demands since the gel can dry out over time.

This dissertation explores the feasibility of measuring the EEG …