Problem 21

Given information

We are given that the transport of a substance across a capillary wall in lung physiology has been modeled by the differential equation

where,

the hormone concentration in the bloodstream

time

the maximum transport rate

the volume of the capillary

is a positive constant that measures the affinity between the hormones and the enzymes that assist the process

We have to find the relationship between and

Step-by-step explanation

We have the equation,

We will multiply both sides with . We have,