A Model for Bacterial Growth Bacteria, must create new cell walls as they grow. Consider a rod-like bacterium, which you may model as a cylinder of radius a and length L. Over time the bacterium grows, that is, L increases, but a stays constant. Relate the rate of surface area increase, dS/dt ,to the rate of volume increase, dV/dt.

A Model for Bacterial Growth Bacteria, must create new cell walls as they grow. Consider a rod-like bacterium, which you may model as a cylinder of radius a and length L. Over time the bacterium grows, that is, L increases, but a stays constant. Relate the rate of surface area increase, dS/dt ,to the rate of volume increase, dV/dt.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 18EQ

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Question

A Model for Bacterial Growth
Bacteria, must create new cell walls
as they grow. Consider a rod-like
bacterium, which you may model as a
cylinder of radius a and length L.
Over time the bacterium grows, that
is, L increases, but a stays constant.
Relate the rate of surface area
increase, dS/dt ,to the rate of volume
increase, dV/dt.

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