Math 490N Biol 595N Topics for Mid term Test Thursday March 11 12 30 1 20 extra time 1 20 2 20 in REC 122 Biology for all There will be essay questions about some of the topics below Basics of cells neurons nervous system Chemical and electrical basis for the membrane potential in resting neuron and for action potentials Synapses their structure and function Ion channels their structure and function Basic biology behind the models we have studied The Morris Lecar model for the membrane potential oscillations in the Barnacle Giant Muscle Fiber Calcium Stores in the ER Calcium concentration oscillations in the bullfrog sympathetic ganglion neuron Calcium Stores in the ER Calcium concentration oscillations in the pituitary gonadotrophs Math for all There will be a question or questions about interpretation or construction of graphs concerning the topics below Differential equations systems of differential equations initial value problems solutions Graphical representations of solutions graphs of solution functions vs time phase portraits Nullclines fixed points Stability of fixed points Bifurcation diagram Biology for biological scientists Biol 595N Paper of Morris and Lecar more on the biology of the barnacle giant muscle fiber Papers of Kuba and Nishi and Friel and Tsien more on the biology of the bullfrog sympathetic ganglion neuron The control of the production of LH and FSH Papers of Tse Tse Almers and Hille and Tse and Tse more on the biology of the pituitary gonadotroph Math for mathematical scientists Math 490N Math 598 Linearization of a non linear system of ordinary differential equations at a fixed point Solution of linear constant coefficient systems Calculations to find fixed points and classify their stability Construction of a bifurcation diagram