Question

A model for the potential through the heart (between sinoatrial node and atrioventricular node) for an individual is…. Where P(v) is the new voltage (in millivolts) after 1 second given a previous voltage v and u is a positive constant called the updating potential. A. Calculate, including units, the value of P(100): ______ mV B. Find the average rate of change in P on the interval [30, 120] (the answer will contain u). = __________ D. The system is said to be in equilibrium at a value for v for which P(v) = v. For what range of values or u does this system have an equilibrium? (Use interval notation) __________

Answer 1

The model is given in the question.

a. The value of P(100) is

$P(100)=0.7\times100=70mV$

b. The average rate of change in P on the interval [30,120] is

$A=\frac{P(120)-P(30)}{120-30}=\frac{0.7\times120-(0.7\times30+u)}{90}$$A=\frac{84-21-u}{90}=\frac{63-u}{90}$

c. The graph of P (v) is represented the linear function.

Yes it represents a linear function.