Consider our simplified model for the working of the atrioventrical (AV) node. If the decay rate is c = 0.15, the critical voltage is V. = 16, and the increase in potential when the heart beats is u = 20, then we have the discrete dynamical system S0.15V, + 20, when 0.15V, < 16 Vi+1 = 0.15V,, when 0.15V, > 16 1. If Vo = 25, what will the potential be after 1 unit of time (round your answer to two decimal places)? Did the heart beat? V = 23.75 Beat? (Y or N): Y

Consider our simplified model for the working of the atrioventrical (AV) node. If the decay rate is c = 0.15, the critical voltage is V. = 16, and the increase in potential when the heart beats is u = 20, then we have the discrete dynamical system S0.15V, + 20, when 0.15V, < 16 Vi+1 = 0.15V,, when 0.15V, > 16 1. If Vo = 25, what will the potential be after 1 unit of time (round your answer to two decimal places)? Did the heart beat? V = 23.75 Beat? (Y or N): Y

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Consider our simplified model for the working of the atrioventrical (AV) node. If the decay rate is c = 0.15, the critical
voltage is V. = 16, and the increase in potential when the heart beats is u = 20, then we have the discrete dynamical
system
S0.15V, + 20, when 0.15V, < 16
Vi+1 =
0.15V,,
when 0.15V, > 16
1. If Vo = 25, what will the potential be after 1 unit of time (round your answer to two decimal places)? Did the heart
beat?
V = 23.75
Beat? (Y or N): Y

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