1. Modeling Oscillating Neurons in Respiratory Rhythmogenesis Connie Oh

2. preBotzinger Complex: site of rhythm generation Looking for inspiration: new perspectives on respiratory rhythm Jack L. Feldman and Christopher A. Del Negro Nature Reviews Neuroscience 7, 232-241 (March 2006)

4. Hodgkin-Huxley (1952) V’ = (- 1/c) * [ i app + g Na *m 3 h*(V – E Ca ) + g K *n 4 *(V – E K ) + g leak *(V – E leak ) ] m’ = α m (V)(1 – m) - β m (V)(m) h’ = α h (V)(1 – h) - β h (V)(h) n’ = α n (V)(1 – n) - β n (V)(n)

5. Fitzhugh-Nagumo (1962) є v’ = v*(v – a)(1 – v) – w w’ = v – b*w – c

6. Morris-Lecar (1981) V’ = (-1/c) * [ i app + g leak *(V – E leak ) + g K *w*(V - E K ) + g Ca *m ∞ (V)*(V – E Ca ) ] w’ = φ * [w ∞ (V) – w] / τ w (V)

8. Novel Model V’ = - (1/c) * [ i app + g leak *(V – E leak ) + g Na *(V – E Ca ) + g K *(V – E K ) + g Ca *(V – E Ca ) + g syn *(V – E syn ) + g ton *(V – E ton ) + g Ca *f ( Ca ) *( V – E Ca ) ]

10. ca0.50.40.30.20.10-0.1-0.2V0-10-20-30-40-50-60