12.7 Molecular Transport Phenomena: Diffusion, Osmosis, and Related Processes

3 min readjune 18, 2024

Molecular transport phenomena are crucial for life processes. and move molecules across cell membranes, driven by concentration gradients. These passive processes are essential for nutrient uptake, waste removal, and maintaining cellular balance.

mechanisms use energy to move molecules against concentration gradients. This allows cells to control their internal environment and perform specialized functions. Understanding these processes is key to grasping how cells interact with their surroundings and maintain homeostasis.

Molecular Transport Phenomena

Diffusion and osmosis processes

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  • Diffusion involves the movement of molecules from regions of high concentration to low concentration driven by the and occurs through random molecular motion ()
    • Examples in biological systems include oxygen diffusing from lungs into bloodstream, carbon dioxide diffusing from cells into bloodstream, and nutrients diffusing from bloodstream into cells
  • Osmosis is a special case of diffusion involving water molecules moving across a that allows passage of water but not solutes
    • Water moves from a region of low solute concentration (high water concentration) to a region of high solute concentration (low water concentration)
    • Examples in biological systems include water absorption in the large intestine, reabsorption of water in the kidneys, and turgor pressure in plant cells
  • The rate of diffusion is described by , which relates the flux of molecules to the concentration gradient

Root-mean-square distance calculations

  • The root-mean-square (RMS) distance formula xrms=2Dtx_{rms} = \sqrt{2Dt} calculates the average distance molecules travel during diffusion
    • xrmsx_{rms} represents the
    • DD is the , which depends on the molecule and medium
    • tt is the time over which diffusion occurs
  • Diffusion rate depends on the concentration gradient, temperature (higher temperature increases molecular motion), size of the molecules (smaller molecules diffuse faster), and viscosity of the medium (higher viscosity slows diffusion)
  • To calculate diffusion rates:
    1. Determine the diffusion coefficient (DD) for the specific molecule and medium
    2. Measure or estimate the time (tt) over which diffusion occurs
    3. Use the to calculate the average distance molecules travel

Active vs passive transport mechanisms

  • involves the movement of molecules across the cell membrane without energy input, relying on concentration gradients or electrochemical gradients
    • Examples include diffusion of small, nonpolar molecules (oxygen, carbon dioxide), using carrier proteins for larger or polar molecules (glucose), and osmosis of water through
  • involves the movement of molecules across the cell membrane with energy input (ATP) and moves molecules against their concentration gradient
    • Examples include the () that maintains concentration gradients of Na+ and K+ ions, () that establish pH gradients across membranes, and () that regulate intracellular calcium levels
  • Comparing active and passive transport:
    • Energy requirement: passive transport requires no energy input, while active transport requires energy input (ATP)
    • Direction of transport: passive transport moves molecules down their concentration gradient, while active transport moves molecules against their concentration gradient
    • Specificity: passive transport is less specific and allows movement of multiple molecules, while active transport is highly specific and uses specific carrier proteins or pumps

Membrane properties and transport

  • affects the rate of molecular transport across cell membranes
  • describes the relative concentration of solutes in a solution compared to another solution, influencing and cell volume
  • and principles govern the direction and extent of molecular transport processes in biological systems

Key Terms to Review (32)

Active transport: Active transport is the movement of molecules across a cell membrane from a region of lower concentration to a region of higher concentration, using energy in the form of ATP. This process is essential for maintaining cellular homeostasis and functions.
Active Transport: Active transport is a cellular process that uses energy, usually in the form of ATP, to move molecules or ions across a biological membrane against their concentration gradient. This is in contrast to passive transport, where molecules move down their concentration gradient without the need for energy input.
Aquaporins: Aquaporins are specialized water-channel proteins that facilitate the rapid and selective transport of water molecules across cell membranes. They play a crucial role in regulating water balance and movement within living organisms, particularly in the context of molecular transport phenomena such as diffusion and osmosis.
ATP (Adenosine Triphosphate): ATP, or adenosine triphosphate, is the primary energy currency in living cells. It is a high-energy molecule that stores and transports chemical energy within the body, powering a wide range of cellular processes essential for life.
Brownian motion: Brownian motion is the random movement of particles suspended in a fluid (liquid or gas) resulting from their collision with fast-moving atoms or molecules in the fluid. It provides evidence for the existence of atoms and molecules.
Brownian Motion: Brownian motion is the random, erratic movement of particles suspended in a fluid (liquid or gas) resulting from their collision with the fast-moving molecules in the fluid. This phenomenon was first observed by botanist Robert Brown in 1827 while studying pollen grains suspended in water under a microscope.
Ca2+ ATPase: Ca2+ ATPase is an enzyme that helps transport calcium ions (Ca2+) across cell membranes using the energy derived from the hydrolysis of ATP. This process is crucial for maintaining calcium homeostasis in cells, preventing excessive intracellular calcium concentrations that can lead to cell damage or death.
Calcium Pumps: Calcium pumps are specialized membrane proteins that actively transport calcium ions (Ca2+) out of cells against their concentration gradient. They play a crucial role in regulating intracellular calcium levels, which is essential for various cellular processes such as signaling, muscle contraction, and neurotransmitter release.
Chemical Potential: Chemical potential is a thermodynamic quantity that represents the potential energy of a chemical species within a system. It determines the direction and spontaneity of chemical reactions and the transport of molecules across membranes, which are key concepts in the study of molecular transport phenomena, diffusion, osmosis, and related processes.
Concentration Gradient: A concentration gradient is the difference in the concentration of a substance across a given space or medium. It is a driving force that causes the net movement of molecules or particles from an area of higher concentration to an area of lower concentration, a process known as diffusion.
Dialysis: Dialysis is a medical process that removes waste products and excess fluid from the blood when the kidneys can no longer perform this function naturally. It relies on principles of diffusion and osmosis across a semi-permeable membrane.
Diffusion: Diffusion is the spontaneous movement of particles, such as molecules or ions, from a region of higher concentration to a region of lower concentration. It is a fundamental transport phenomenon that occurs in various contexts, including molecular transport processes, osmosis, and related biological and physical processes.
Diffusion coefficient: The diffusion coefficient is a numerical value that quantifies the rate at which particles or molecules spread through a medium due to random motion. This coefficient is essential for understanding processes such as diffusion and osmosis, as it indicates how quickly substances can move from areas of higher concentration to areas of lower concentration. A higher diffusion coefficient suggests faster molecular transport, which is vital in many biological and physical processes.
Facilitated Diffusion: Facilitated diffusion is a type of passive transport process that allows the movement of molecules or ions across a cell membrane down their concentration gradient, without the expenditure of metabolic energy. It involves the use of specialized transport proteins that act as channels or carriers to facilitate the movement of specific substances across the membrane.
Fick's Law: Fick's law is a fundamental principle that describes the diffusion of molecules or particles from a region of high concentration to a region of low concentration. It provides a quantitative relationship between the rate of diffusion and the concentration gradient driving the diffusion process.
H+ ATPase: H+ ATPase, also known as the proton pump, is a membrane-bound enzyme that plays a crucial role in the regulation of pH and the transport of ions across cell membranes. It is a key component in various cellular processes related to molecular transport phenomena, including diffusion, osmosis, and related processes.
Membrane Permeability: Membrane permeability refers to the ability of molecules and ions to pass through the semi-permeable membrane of a cell. It is a critical factor in the processes of diffusion, osmosis, and related transport phenomena that govern the movement of substances across cell boundaries.
Na+/K+ ATPase: The Na+/K+ ATPase, also known as the sodium-potassium pump, is an integral membrane protein that plays a crucial role in maintaining the electrochemical gradient across the cell membrane. It is responsible for actively transporting sodium ions (Na+) out of the cell and potassium ions (K+) into the cell, which is essential for various cellular processes such as osmosis, signal transmission, and nutrient uptake.
Osmosis: Osmosis is the spontaneous movement of water molecules across a semi-permeable membrane from a region of lower solute concentration (higher water concentration) to a region of higher solute concentration (lower water concentration). This process is driven by the difference in water concentration, or water potential, across the membrane.
Osmotic pressure: Osmotic pressure is the pressure required to prevent the flow of a solvent into a solution through a semipermeable membrane. It is a colligative property dependent on the concentration of solute particles.
Passive Transport: Passive transport is a mechanism by which molecules or ions move across a cell membrane without the expenditure of cellular energy. It relies on the random thermal motion of particles and the concentration gradient between the two sides of the membrane to facilitate the movement of substances.
Proton Pumps: Proton pumps are integral membrane proteins that actively transport protons (H+ ions) across a biological membrane, generating a proton gradient. This process is essential for various cellular functions, such as ATP synthesis during cellular respiration and maintaining pH balance. Proton pumps play a crucial role in energy production and molecular transport phenomena like diffusion and osmosis, as they help create the electrochemical gradients that drive the movement of other molecules across membranes.
Relative osmotic pressure: Relative osmotic pressure is the pressure required to stop the net flow of solvent molecules through a semipermeable membrane when compared between two solutions. It reflects the difference in solute concentration across the membrane.
Reverse dialysis: Reverse dialysis is a process where certain solutes and fluids move from an area of lower concentration to an area of higher concentration, typically through a semi-permeable membrane, using external pressure.
Reverse osmosis: Reverse osmosis is a process where a solvent passes through a semipermeable membrane from a region of higher solute concentration to a region of lower solute concentration by applying external pressure. It is commonly used for water purification and desalination.
RMS Distance Formula: The RMS (Root Mean Square) distance formula is a mathematical expression used to quantify the average distance traveled by particles undergoing random motion, such as diffusion and Brownian motion. It provides a statistical measure of the typical distance a particle is expected to travel over a given time period.
Root-Mean-Square Distance: The root-mean-square (RMS) distance is a statistical measure that represents the typical or average distance of a set of values from the mean or expected value. In the context of molecular transport phenomena, it is used to quantify the average distance traveled by particles undergoing diffusion, osmosis, and related processes.
Semipermeable: Semipermeable describes a membrane that allows certain molecules or ions to pass through it by diffusion and occasionally specialized processes. This selective permeability is crucial in biological and medical applications.
Semipermeable Membrane: A semipermeable membrane is a thin, selective barrier that allows certain molecules or ions to pass through while blocking the passage of others. This type of membrane is crucial in various biological and physical processes, including diffusion, osmosis, and related molecular transport phenomena.
Sodium-Potassium Pump: The sodium-potassium pump, also known as the Na+/K+ ATPase, is an active transport mechanism that maintains the electrochemical gradient across the cell membrane by continuously pumping sodium ions (Na+) out of the cell and potassium ions (K+) into the cell. This process is crucial for regulating osmosis, nerve impulse transmission, and other essential cellular functions.
Thermodynamics: Thermodynamics is the branch of physics that deals with the relationships between heat, work, temperature, and energy. It explores how energy is transformed and transferred within physical systems, governing the principles that dictate the behavior of matter in various states. The laws of thermodynamics play a crucial role in understanding how energy flows and changes form, influencing everything from engines to biological processes.
Tonicity: Tonicity refers to the relative concentration of solutes on either side of a semipermeable membrane, which determines the direction and rate of water movement through the membrane. It is a crucial concept in understanding the processes of diffusion, osmosis, and related molecular transport phenomena.
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