This course will introduce students to the mathematical models of bioelectric, biomechanical and bioacoustic activities from physiological systems such as neuromuscular systems, cardiovascular systems, auditory systems etc. The purpose is to gain a solid theoretical understanding of the human physiological processes. The main topics include:

• The structure and function of the neuromuscular systems; fundamentals in biological neural networks.
• Compartment models and the electrical properties of single neurons; Nernst and Goldman equations; IF models; Hodgkin-Huxley model; cable equation.
• Stochastic point process, performance analysis of myoelectric channels, myoelectric control of robotic arms and applications in cyborg systems.
• Random electrical neuromuscular stimulations, spectral analysis.
• Transmission of sound through the outer-middle-inner ear; otoacoustic emissions and its models, mechano-electrical model of auditory hair cells; concepts of bionic wavelet transform; cochlear implants.
• Heart sounds analysis; high-order statistics; modeling of arterial blood pressure and pulse wave velocity.
• Current topics of interests.