Biology: Concepts and Investigations
Biology: Concepts and Investigations
5th Edition
ISBN: 9781260259049
Author: Hoefnagels
Publisher: MCG
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Chapter 4, Problem 9WIO
Summary Introduction

To determine:

How does diffusion relate to cell surface area to volume ratio.

Concept introduction:

A cell membrane is made of different molecules like phospholipids, proteins, and cholesterol that contribute to the flexible nature of a cell membrane. A cell membrane is selectively permeable in nature, and it allows selective substances to enter the cell. The movement of molecules could be passive like in osmosis and diffusion, active transport or facilitated transport.

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Facilitated diffusion and active transport are two different mechanisms that the cells use to transport molecules into and out of the cell. Compare and contrast these two types of cellular transport.
This graph shows facilitated diffusion of a compound across a cytoplasmic membrane and into a cell. As the external concentration of the compound is increased, the rate of uptake increases until it reaches a point where it slows and then begins to plateau. This is not the case with passive diffusion, where the rate of uptake continually increases as the solute concentration increases. Why does the rate of uptake slow and then eventually plateau with facilitated diffusion?
The surface area to volume ratio affects the ability of the cell to exchange nutrients and waste products with the outside environment. Many factors affect the movement of molecules across the cell membrane, including membrane thickness, temperature, pressure, concentration gradient, molecular mass, distance travelled, solvent properties and surface area of the cell. In general, according to Einstein’s approximation equation (Equation 1), diffusion time is inversely proportional to the to the diffusion coefficient (D), where t is time and x is distance travelled. The diffusion coefficient is unique to each type of molecule and is determined experimentally. Waste products such as carbon dioxide (CO2) pose a unique problem to cells as their accumulation may be lethal. Exchange with the external environment is dependent upon the distance the waste must travel; for a round cell this will be up to half the cell diameter. Using the diffusion coefficient (D) for carbon dioxide (1.97 × 10-5…
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The Cell Membrane; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=AsffT7XIXbA;License: Standard youtube license