Physics of Biological Membrane
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What is the primary reason why the resting membrane potential of a neuron is different from the potassium equilibrium potential?

  • The sodium-potassium pump actively transports more K+ out of the cell than Na+ in.
  • The concentration of K+ inside the neuron is much higher than the concentration of Na+ outside the cell.
  • The membrane is more permeable to K+ than Na+ at rest.
  • The neuron is also permeable to other ions, such as Na+ and Cl-. (correct)
  • Which statement accurately describes the equilibrium potential for an ion?

  • The point at which the net movement of an ion across the membrane is zero.
  • The potential difference across the membrane when the ion is not moving across it.
  • The electrical potential difference across the cell membrane that exactly balances the concentration gradient for that ion. (correct)
  • The electrical potential difference required to maintain a constant concentration gradient for that ion.
  • What is the role of the sodium-potassium pump in maintaining the resting membrane potential?

  • It establishes the concentration gradients for Na+ and K+ that are essential for the resting potential. (correct)
  • It counteracts the movement of K+ out of the cell through channels, ensuring a constant membrane potential.
  • It directly determines the resting membrane potential by pumping more Na+ out than K+ in.
  • It actively transports Na+ into the cell, contributing to the positive charge inside the neuron.
  • How does the permeability of the cell membrane to different ions affect the resting membrane potential?

    <p>The membrane potential is closer to the equilibrium potential of the ion with the highest permeability. (A)</p> Signup and view all the answers

    Consider a neuron with a resting membrane potential of -70mV. How would increasing the permeability of the membrane to Na+ affect the resting membrane potential?

    <p>The resting membrane potential would become more positive, approaching the equilibrium potential of Na+. (C)</p> Signup and view all the answers

    If the concentration of K+ outside the cell is increased, how would this affect the potassium equilibrium potential?

    <p>The potassium equilibrium potential would become more positive. (D)</p> Signup and view all the answers

    The Goldman equation is used to calculate the resting membrane potential. What makes this equation different from simply calculating the Nernst equation for each ion?

    <p>The Goldman equation accounts for the permeability of the membrane to each ion. (C)</p> Signup and view all the answers

    Which of the following statements about the resting membrane potential is TRUE?

    <p>A decrease in the permeability of the membrane to K+ would make the resting membrane potential more positive. (B)</p> Signup and view all the answers

    What is the relationship between the viscosity of blood and the viscosity of plasma?

    <p>Blood viscosity is always higher than plasma viscosity, due to the presence of red blood cells. (A)</p> Signup and view all the answers

    What is the approximate range of resistivity for the plasma membrane at physiological temperatures?

    <p>10-2 - 10-5 Ω.cm-2 (D)</p> Signup and view all the answers

    Which of these is NOT a factor influencing the viscosity of blood?

    <p>Hemoglobin concentration (A)</p> Signup and view all the answers

    What is the relation between specific resistance (resistivity) and the resistance of a conductor?

    <p>Resistance is directly proportional to resistivity. (A)</p> Signup and view all the answers

    Why does the plasma membrane offer a higher resistance than the internal and external fluids?

    <p>The plasma membrane is made of lipids, which are inherently poor conductors of electricity. (C)</p> Signup and view all the answers

    Which of the following best describes the principle underlying the concept of a dielectric material in relation to a capacitor.

    <p>A dielectric material reduces the electric field between the capacitor's plates. (D)</p> Signup and view all the answers

    Which of the following is NOT a characteristic of the liquid-crystalline state of the cell membrane, as described in the text?

    <p>The viscosity of the membrane is constant regardless of temperature and density. (A)</p> Signup and view all the answers

    Based on the text, which of these statements about body fluids and their conductivity is CORRECT?

    <p>Body fluids are relatively good conductors of electricity, due to the presence of ions, but not as conductive as metals. (B)</p> Signup and view all the answers

    During the repolarization phase of an action potential, the membrane potential is primarily influenced by the movement of which ion?

    <p>Potassium ions (K+) (C)</p> Signup and view all the answers

    Which of the following statements accurately describes the role of the sodium-potassium pump in the action potential cycle?

    <p>It restores the resting potential by actively pumping sodium out and potassium into the cell. (A)</p> Signup and view all the answers

    At what point in the action potential cycle is the membrane most permeable to sodium ions?

    <p>During the depolarization phase. (D)</p> Signup and view all the answers

    Which of the following is TRUE regarding the absolute refractory period?

    <p>It corresponds to the period where the membrane is not excitable, even with a strong stimulus. (D)</p> Signup and view all the answers

    What is the main factor that determines the firing level or threshold of an action potential?

    <p>The rate of change in membrane potential. (B)</p> Signup and view all the answers

    The standard waveform of an action potential is a graphical representation of what?

    <p>The electrical potential across a single nerve fiber over time. (D)</p> Signup and view all the answers

    What is the significance of the sodium-potassium pump in maintaining the resting potential?

    <p>It helps maintain the concentration gradient of sodium and potassium across the membrane. (C)</p> Signup and view all the answers

    During the relative refractory period, it is possible for another action potential to be generated, but under what specific condition?

    <p>Only if the stimulus is stronger than the initial one. (A)</p> Signup and view all the answers

    What is the value of the membrane potential, $V_m$, calculated using the Goldman equation, given the following concentrations and permeabilities?| Ion | Concentration (Inside) | Concentration (Outside) | Permeability |---|---|---|---| | K+ | 145 | 5 | 60 | | Na+ | 10 | 140 | 1 |

    <p>-76.7mV (D)</p> Signup and view all the answers

    What is the approximate value of $RT/F$ at human body temperature (37 °C)?

    <p>26.7mV (D)</p> Signup and view all the answers

    Which of these statements is true about the relationship between stimulus intensity and action potential size?

    <p>The action potential size remains constant, regardless of the stimulus intensity. (D)</p> Signup and view all the answers

    What is the term used for a change in the membrane potential that cannot spread far from the site of stimulation?

    <p>Graded potential (C)</p> Signup and view all the answers

    What is the term used for the state of the cell membrane with a positive charge on the outside and a negative charge on the inside?

    <p>Polarization (D)</p> Signup and view all the answers

    What is the threshold value that is required for the excitation of a nerve or muscle cell to exceed and generate an action potential?

    <p>-55mV (D)</p> Signup and view all the answers

    What are the main types of stimuli?

    <p>External and Internal (D)</p> Signup and view all the answers

    Considering examples of internal and external stimuli - which one of these will be considered an internal stimulus?

    <p>Hunger (B)</p> Signup and view all the answers

    What is the primary factor responsible for maintaining the high capacitance of the cell membrane?

    <p>The thin thickness and high dielectric constant of the cell membrane. (D)</p> Signup and view all the answers

    Which of the following best describes the role of ion pumps in cell polarization?

    <p>They actively move ions against the electrochemical gradient, creating a potential difference. (D)</p> Signup and view all the answers

    What is the primary reason why the cell membrane is considered an imperfect dielectric?

    <p>The presence of pores that allow ion diffusion. (A)</p> Signup and view all the answers

    What is the consequence of the low conductivity of the cell membrane?

    <p>It contributes to the high capacitance of the membrane, despite its thinness. (C)</p> Signup and view all the answers

    How does the capacitance per unit area of the cell membrane compare to a typical capacitor?

    <p>It is significantly higher because of the high dielectric constant and thin thickness of the membrane. (A)</p> Signup and view all the answers

    Which of the following scenarios would most likely lead to a decrease in the capacitance of the cell membrane?

    <p>An increase in the conductivity of the membrane. (B)</p> Signup and view all the answers

    What is the significance of the intracellular and extracellular fluids being electrolytes?

    <p>They act as conductive plates in the parallel-plate membrane capacitor model. (C)</p> Signup and view all the answers

    Which of the following statements correctly describes the role of active membrane transport in maintaining cell polarization?

    <p>Active transport pumps ions against their concentration gradient, maintaining the potential difference. (C)</p> Signup and view all the answers

    Why does the concentration gradient for K+ facilitate its movement out of the cell via K+ channels?

    <p>The electrical gradient for K+ is directed inward, opposing its tendency to move out. (D)</p> Signup and view all the answers

    What is the primary reason for the establishment of a resting membrane potential?

    <p>The equilibrium reached between the concentration gradient and the electrical gradient for potassium. (A)</p> Signup and view all the answers

    Why are leak channels considered important for maintaining the resting membrane potential?

    <p>They contribute to a small but consistent efflux of potassium ions, contributing to the membrane potential. (A)</p> Signup and view all the answers

    How does the sodium-potassium pump contribute to the resting membrane potential?

    <p>By pumping three sodium ions out for every two potassium ions in, it contributes to the net negative charge inside the cell. (C)</p> Signup and view all the answers

    Which of the following is NOT a condition required for establishing potentials across cell membranes?

    <p>The presence of a large amount of ATP within the cell. (C)</p> Signup and view all the answers

    How is the resting membrane potential (RMP) determined?

    <p>By the combined effect of the concentration and electrical gradients across the membrane, as well as the permeability of the membrane to different ions. (A)</p> Signup and view all the answers

    Which of the following is NOT a function of the sodium-potassium pump in establishing the resting membrane potential?

    <p>Generating the electrical gradient across the membrane by pumping more negative ions out than positive ions. (B)</p> Signup and view all the answers

    Which of the following scenarios would directly contribute to a more negative resting membrane potential?

    <p>Decreasing the permeability of the membrane to potassium ions. (D)</p> Signup and view all the answers

    Flashcards

    Dielectric constant

    A measure of a material's ability to store electric energy in an electric field.

    Capacitance

    The ability of a capacitor to store electric charge, measured in microfarads (µF).

    Capacitor structure

    Consists of two conducting plates separated by an insulator (dielectric).

    Membrane capacitance

    The capacitance of cell membranes influenced by their thinness and dielectric properties.

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    Ion pumps

    Molecular devices in cell membranes that actively transport ions against their gradient.

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    Cell polarization

    The process creating a difference in electric charge across a cell membrane, approx. -90 mV inside.

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    Dielectric loss

    Loss of energy stored in the capacitor due to ion diffusion through the membrane.

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    Electrolyte solutions

    Conductive fluids inside and outside cells that facilitate the flow of electric charge.

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    Membrane Viscosity

    The ability of a membrane to resist flow, depending on its composition and temperature.

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    Blood Viscosity

    The thickness and stickiness of blood, influenced by plasma and hematocrit levels.

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    Ohm's Law

    Describes the relationship between current, voltage, and resistance: V = IR.

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    Resistance (R)

    Opposition to electric current, measured in ohms (Ω).

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    Conductors

    Materials that allow easy flow of electric current with low resistance.

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    Insulators

    Materials that oppose electric current flow, offering high resistance.

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    Dielectric

    An insulating material reducing electric field intensity between conductors.

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    Lipid Matrix

    The structural component of a membrane that contributes to its high resistance.

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    Ideal Gas Constant (R)

    The constant used in gas equations, measured in joules per kelvin per mole.

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    Membrane Potential (V_m)

    The electrical potential difference across a cell's membrane, influenced by ion concentrations.

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    Goldman Equation

    A mathematical formula used to calculate membrane potential based on ion concentrations and permeabilities.

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    External Stimulus

    A stimulus originating from outside the body, like touch and sound.

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    Internal Stimulus

    A stimulus that comes from within the body, like hunger or thirst.

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    Action Potential

    A rapid rise and fall in voltage across a cellular membrane used for nerve signal transmission.

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    Threshold Value

    The membrane potential level that must be reached for an action potential to occur, usually around -55mV.

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    Graded Potential

    A change in membrane potential that is proportional to the strength of the stimulus, not propagated far.

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    Cell Membrane Permeability

    The membrane allows varying ion passage; K+ easily, Na+ less, Cl- freely.

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    Conditions for Membrane Potential

    Essential for potential: charged ions, concentration gradient, membrane permeability.

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    Concentration Gradient

    Ion concentration varies: K+ high inside, Na+ and Cl- high outside neurons.

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    Leak Channels

    Ion channels that remain open in resting neurons, allowing ion flow.

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    Potassium Channels

    Ion channels mainly allowing K+ to pass, important for membrane potential.

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    Resting Membrane Potential

    Voltage across membrane due to ion distribution; state of polarization before action potential.

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    Na+-K+ Pump

    Transports 3 Na+ out, 2 K+ in, contributing to membrane potential and polarization.

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    Equilibrium of K+

    State where K+ movement out is balanced by movement in, leading to stable membrane potential.

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    K+ movement and equilibrium

    When K+ leaves the cell, it creates a charge imbalance which leads to equilibrium when electrical and chemical forces balance.

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    Charge imbalance

    The difference in charge between inside and outside of the cell due to K+ movement creates an electrical force opposing further K+ exit.

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    Electrical vs. chemical force

    Electrical force drives K+ back into the cell while chemical force drives it out, leading to equilibrium.

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    Equilibrium potential

    The membrane potential when there is no net movement of K+, as equal amounts enter and leave the cell.

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    Sodium equilibrium potential

    The positive membrane potential that balances Na+ concentration gradient, driving membrane potential positive.

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    Sodium-potassium pump

    Membrane protein that pumps three Na+ out and two K+ in, maintaining ion concentration gradients.

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    Depolarization Phase

    The phase where sodium ions enter the cell, causing a rise in membrane potential, reaching +40 mV.

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    Repolarization Phase

    The phase where potassium ions exit the cell, returning the membrane potential toward resting state.

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    Resting Potential

    The stable membrane potential of a nerve fiber, approximately -90 mV.

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    Absolute Refractory Period

    The time period when no new action potential can be initiated, from firing level to 2/3 repolarization.

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    Relative Refractory Period

    The period during which a new action potential can occur, but only with a stronger stimulus.

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    Firing Level (Threshold)

    The critical level of depolarization needed to initiate an action potential.

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    Study Notes

    Physics of Biological Membrane

    • Electrolytes are inorganic compounds often needing water for ionization (molecule splitting). Dissolved compounds in liquid (water) break down into ions (atoms with extra or fewer electrons). Solid NaCl dissolved in water forms Na+ and Cl- ions, thus creating an electrolyte solution. Ions in an electrolyte solution are generally more mobile than in solids.
    • Living tissue acts as an electrolytic conductor with both intracellular and extracellular fluids containing mobile ions.
    • Electrolyte solutions have positive and negative ions. If electrodes with a potential difference are introduced, positive ions move toward the cathode and negative ions toward the anode. This ion movement creates an electric current through the electrolyte solution.

    Electrical Properties of Cell Membrane

    • Cell membranes are crucial for separating the cell interior from its surroundings. They are a bi-layered lipid membrane with channels, ion pumps, and other embedded proteins.
    • Membrane viscosity is constant when temperature and density remain unchanged. Fluids with small molecules (like air or water) have lower viscosity than blood.
    • Blood viscosity varies with temperature. At 37°C, blood viscosity ranges from 3x10⁻³ to 4x10⁻³ Pa-s.
    • Materials with very low resistance to current flow are called conductors, and those with high resistance are insulators.
    • In bodily fluids, salts and other molecules dissociate into positive and negative ions, making them relatively good conductors of electricity, although not as conductive as metals.
    • The internal fluid has higher resistivity than external fluids due to lower volume, narrow cross-sectional area, and plasma membrane resistance.

    Dielectric

    • A dielectric is an insulating material preventing charge movement between conductive plates within a capacitor.
    • Perfect dielectrics have no free charges, reducing electric field intensity between the plates. A high dielectric constant enhances the capacitor's capacitance.
    • Cell membranes act like dielectrics, having a high capacitance due to their thinness, and despite their conductivity being low.

    Capacitance

    • Capacitors store electric charges; the simplest form consists of two conducting plates separated by a dielectric.
    • In cells, intracellular and extracellular fluids act as conducting plates, and the cell membrane is the dielectric, resulting in significant capacitance.
    • Membrane capacitance is high due to the thin cell membrane (7 nm), high dielectric constant (3-10), and large surface area of the conductive fluids, although ions can diffuse across, affecting dielectric loss.

    Cell Polarization (Resting State)

    • Cell polarization happens due to ion pumps that move ions against electrochemical gradients.
    • Excitation in nerve or muscle cells leads to a membrane potential of roughly -90 mV relative to the extracellular fluid.
    • The Na+-K+ pump maintains this membrane potential by pumping 3 Na+ ions out and 2 K+ ions in for each cycle.
    • The cell membrane is fairly permeable to potassium ions (K+), less permeable to sodium ions (Na+), and quite permeable to chloride ions (Cl⁻).

    Concentration Gradient

    • In neurons, K+ and organic anions are highly concentrated inside the cell, whereas Na+ and Cl⁻ are higher outside.
    • These concentration gradients across the membrane are vital for establishing membrane potential.

    Types of Channels

    • Leak channels are always open in resting neurons, allowing ion flow. Ion channels' selectivity varies; some let various ions pass, others are highly selective.
    • Potassium channels mostly allow potassium ions to pass, and sodium channels mostly allow sodium ions.
    • Differences in ion concentrations and permeabilities are crucial in establishing the cell's resting membrane potential.

    Resting Membrane Potential

    • Resting membrane potential is caused by the unequal distribution of ions across the cell membrane and the different permeability of the membrane to various ions.

    • The concentration gradient for potassium and its corresponding electrical gradient are balanced to create an equilibrium potential.

    • The relative permeability of the membrane to different ions affects this equilibrium state of the resting potential.

    • The Goldman equation calculates membrane potential, considering ion concentrations and relative permeabilities (of ions).

    Action Potential

    • The action potential occurs when a stimulus raises the membrane potential above a threshold, causing a sequence of rapid changes.
    • The membrane potential transiently reverses from negative to positive (+40 mV) during depolarization due to rapid Na⁺ influx, followed by repolarization due to K⁺ efflux.
    • Na⁺ and K⁺ channels opening and closing, and the active transport mechanism (Na⁺-K⁺ pump) control the process.

    Local Response

    • Local response is a change in membrane potential that occurs as a result of stimulation, but it does not spread far from its source.
    • It's not strong enough to cause a full action potential.

    Latent Period

    • The latent period is the time between the stimulus and the start of the action potential; it's the time the impulse takes to travel length of the nerve fiber.

    Refractory Period

    • The refractory period is the time after an action potential where the neuron cannot generate another action potential immediately, preventing repetitive firing.
    • Periods include absolute refractory period (cannot produce any stimulus), while relative refractory period requires a strong stimulus.

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    Description

    This quiz explores the principles behind the physics of biological membranes, focusing on electrolyte solutions and the electrical properties of cell membranes. You'll learn how ions behave in these solutions and how cell membranes play a critical role in separating cellular environments. Test your knowledge of these essential concepts.

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