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Cell Biology - Membrane Transport

Grade 11IBBiology

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

The plasma membrane follows the Fluid Mosaic Model, consisting of a phospholipid bilayer where phospholipids are amphipathic, containing a hydrophilic phosphate head and two hydrophobic fatty acid tails.

Simple Diffusion is the passive movement of small, non-polar molecules like O2O_2 and CO2CO_2 from a region of high concentration to low concentration until equilibrium is reached.

Facilitated Diffusion involves the movement of polar molecules or ions (e.g., C6H12O6C_6H_{12}O_6, ClCl^-, or Na+Na^+) across the membrane through specific channel or carrier proteins without the use of ATPATP.

Osmosis is the net movement of H2OH_2O molecules across a partially permeable membrane from a region of lower solute concentration (hypotonic) to a region of higher solute concentration (hypertonic).

Active Transport requires energy in the form of ATPATP to move substances against a concentration gradientconcentration \ gradient using protein pumps, such as the Sodium-Potassium pump (Na+/K+Na^+/K^+ pump).

The Sodium-Potassium pump specifically moves 3 Na+3 \ Na^+ ions out of the cell and 2 K+2 \ K^+ ions into the cell to maintain resting potential in neurons.

Vesicular transport involves the fluidity of the membrane to allow for endocytosisendocytosis (internalization of substances) and exocytosisexocytosis (secretion of substances), both of which are active processes.

📐Formulae

Rate of DiffusionSurface Area×Concentration GradientThickness of MembraneRate \ of \ Diffusion \propto \frac{Surface \ Area \times Concentration \ Gradient}{Thickness \ of \ Membrane}

%ΔMass=MfinalMinitialMinitial×100\% \Delta Mass = \frac{M_{final} - M_{initial}}{M_{initial}} \times 100

Ψ=Ψs+Ψp\Psi = \Psi_s + \Psi_p

💡Examples

Problem 1:

A tissue sample with an initial mass of 5.0 g5.0 \ g is placed in a solution. After 30 minutes, the final mass is 5.4 g5.4 \ g. Calculate the percentage change in mass and determine if the solution was hypotonic or hypertonic.

Solution:

Using the formula: %ΔMass=5.4 g5.0 g5.0 g×100=+8.0%\% \Delta Mass = \frac{5.4 \ g - 5.0 \ g}{5.0 \ g} \times 100 = +8.0\%.

Explanation:

Because the percentage change is positive, the tissue gained mass. This indicates that H2OH_2O moved into the cells via osmosis, meaning the external solution had a lower solute concentration than the cytoplasm. Therefore, the solution was hypotonic.

Problem 2:

Describe the ratio of ions moved by the Na+/K+Na^+/K^+ pump and the energy requirement.

Solution:

3 Na+3 \ Na^+ ions are pumped out of the cell for every 2 K+2 \ K^+ ions pumped into the cell, consuming 11 molecule of ATPATP per cycle.

Explanation:

This is an example of primary active transport. The hydrolysis of ATPATP to ADP+PiADP + P_i provides the energy required to change the conformational shape of the integral protein pump.

Membrane Transport - Revision Notes & Key Diagrams | IB Grade 11 Biology