/generatehandwrittenimages Discuss genesis of resting membrane potential and effects of hypokalemia and hyperkalemia on it. - for md physiology 10 marks theory question. You can make many images and not just one for completing the answer

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Handwritten medical notes style diagram for MD physiology exam showing "Genesis of Resting Membrane Potential". Include: title at top in underlined handwriting. Section 1: Ion concentrations table showing K+ inside 140 mEq/L outside 4 mEq/L; Na+ inside 14 mEq/L outside 142 mEq/L; Cl- inside 4 mEq/L outside 104 mEq/L. Section 2: Nernst equation written out: E = 61 log [Co]/[Ci] with K+ equilibrium = -94 mV, Na+ equilibrium = +61 mV. Section 3: Goldman equation written out. Section 4: Three contributors listed with arrows: 1) K+ diffusion potential (-94 mV) - major contributor, 2) Na+ diffusion potential (partially offsets), 3) Na-K ATPase pump (-4 mV electrogenic). Final RMP = -70 to -90 mV. Blue ink on white lined paper, neat handwriting with boxes around key values, arrows showing ion movements across a simple cell membrane sketch.

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Handwritten medical notes page for MD physiology exam titled "Effects of Hypokalemia on Resting Membrane Potential". Blue ink on ruled white paper, neat student handwriting. Content: Hypokalemia = serum K+ less than 3.5 mEq/L. Nernst equation arrow: K+ inside/outside ratio INCREASES when plasma K+ falls. Effect on SKELETAL MUSCLE: RMP becomes more negative (hyperpolarization) e.g. from -90 mV to -100 mV. Mechanism arrow diagram: LOW extracellular K+ → increased K+ inside/outside ratio → more K+ diffuses out → interior more negative → HYPERPOLARIZATION → cell HARDER to excite → muscle weakness and paralysis. Effect on CARDIAC (Purkinje fibers): Paradoxical DEPOLARIZATION via K2P1 (TWIK-1) channels - these channels switch from K+ selective to Na+ transport when K+ is low, causing Na+ influx and depolarization. ECG changes box: flat T waves, ST depression, U waves, prolonged QT, risk of torsades de pointes. Draw a simple voltage scale diagram showing -90mV baseline shifting to -100mV for skeletal muscle. Add a warning star: PARADOX in cardiac cells.

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Handwritten medical notes page for MD physiology exam titled "Effects of Hyperkalemia on Resting Membrane Potential". Blue-black ink on ruled white paper, neat handwriting. Content: Hyperkalemia = serum K+ greater than 5.5 mEq/L. Nernst equation: K+ inside/outside ratio DECREASES when plasma K+ rises. Effect: RMP becomes LESS negative (depolarization) e.g. from -90 mV to -70 mV. Two-phase effect diagram: Phase 1 - Partial depolarization → cell approaches threshold → EASIER to excite → increased excitability (tingling, muscle twitching). Phase 2 - Sustained depolarization → Na+ channels become INACTIVATED (remain in inactivated state) → cell CANNOT fire action potentials → muscle weakness, flaccid paralysis. ECG changes progression box drawn with arrow: 1) Peaked tall T waves (early), 2) Widened QRS, 3) Flattened P waves, 4) Sine wave pattern, 5) Ventricular fibrillation / asystole (late). Simple voltage diagram showing RMP shifting from -90 mV toward threshold at -70 mV. Note: Hyperkalemia depresses ectopic pacemakers and slows conduction. Border the ECG changes box.

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Handwritten medical diagram on white paper showing "Chord Conductance Equation and Goldman Equation for Resting Membrane Potential". Blue ink, neat handwriting, exam notes style. Show: Title underlined. Chord conductance equation: Em = (gK/gT)EK + (gNa/gT)ENa + (gCl/gT)ECl. Below it: Goldman-Hodgkin-Katz equation written out: Em = 61 log [(PK[K+]out + PNa[Na+]out + PCl[Cl-]in) / (PK[K+]in + PNa[Na+]in + PCl[Cl-]out)]. Then a table: Ion | Permeability ratio at REST: K+ = 1.0 (reference), Na+ = 0.04, Cl- = 0.45. Below: "At rest: PK >> PNa therefore RMP is close to EK = -94 mV". Final RMP = -70 to -90 mV. Summary box: "RMP determined mainly by: 1) K+ concentration gradient (major) 2) K+ leak channels (high permeability) 3) Na-K ATPase pump (minor, -4 mV direct electrogenic effect but major indirect by maintaining gradient)". Draw a small pie chart showing relative contributions.

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Handwritten medical exam summary table on white ruled paper titled "Comparison: Hypokalemia vs Hyperkalemia Effects on Membrane Potential". Blue pen, neat handwriting. Draw a two-column comparison table with the following rows: Parameter | Hypokalemia (K+ less than 3.5) | Hyperkalemia (K+ greater than 5.5). Rows: Serum K+ | Low | High. K+ inside/outside ratio | Increases | Decreases. RMP | Hyperpolarized (more negative) | Depolarized (less negative). Excitability (skeletal) | Decreased - hard to fire | Increased then decreased. Cardiac effect | Paradoxical depolarization (TWIK-1 channels) | Depolarization → Na channel inactivation. ECG | Flat T, U wave, long QT, torsades | Peaked T, wide QRS, sine wave, VF/asystole. Clinical | Muscle weakness, paralysis, cramps | Muscle weakness, flaccid paralysis, arrhythmia. Treatment | K+ supplementation | Calcium gluconate, insulin+glucose, kayexalate. Box at bottom: Mnemonic - HYPO K = Hyperpolarizes (skeletal), HYPER K = Depolarizes. Add borders and neat formatting.

Here is a complete 10-mark theory answer for Genesis of Resting Membrane Potential & Effects of Hypokalemia and Hyperkalemia.

RESTING MEMBRANE POTENTIAL (RMP) - Genesis & Effects of Potassium Disorders


PART 1: GENESIS OF RESTING MEMBRANE POTENTIAL

Definition: The resting membrane potential is the electrical potential difference across the membrane of excitable cells (nerve, muscle) between action potentials - typically -70 to -90 mV (inside negative relative to outside).

DIAGRAM 1: Genesis Overview

Genesis of Resting Membrane Potential - Handwritten Notes

A. Prerequisites - Ion Concentration Gradients

The Na+-K+ ATPase pump actively maintains steep concentration gradients:
IonIntracellularExtracellular
K+140 mEq/L4 mEq/L
Na+14 mEq/L142 mEq/L
Cl-4 mEq/L104 mEq/L
The Na+-K+ pump (shown below from Guyton & Hall) transports 3 Na+ out for every 2 K+ in - making it an electrogenic pump:
Na-K Pump and K+ Leak Channels - Guyton & Hall
Na+-K+ pump and K+ leak channels (Guyton & Hall, Fig 5.4)

B. Three Contributors to RMP

1. Potassium Diffusion Potential (MAJOR contributor)
  • K+ has high resting permeability through K+ "leak" channels (K2P channels)
  • K+ diffuses outward down its concentration gradient
  • Leaves interior negative → drives RMP toward E_K+
  • Nernst potential for K+ = -94 mV
2. Sodium Diffusion Potential (minor, opposing)
  • Small resting Na+ permeability (PNa ~1/100th of PK)
  • Na+ diffuses inward, partially offsetting K+ effect
  • Nernst potential for Na+ = +61 mV
  • Net result with Goldman equation: -86 mV
3. Na+-K+ ATPase Pump (small direct electrogenic contribution)
  • 3 Na+ pumped out : 2 K+ pumped in = net loss of +ve charge inside
  • Direct contribution: ~-4 mV additional
  • Indirect (critical): maintains the K+ concentration gradient that drives the diffusion potential
The three-step build-up is shown clearly in the textbook diagram below:
Establishment of RMP - three conditions - Guyton & Hall
A: K+ diffusion alone = -94 mV; B: K+ + Na+ diffusion = -86 mV; C: K+ + Na+ + pump = -90 mV (Guyton & Hall, Fig 5.5)

C. Equations

Chord Conductance & Goldman Equation - Handwritten
Chord Conductance Equation weights each ion's equilibrium potential by its conductance:
E_m = (g_K/g_T)·E_K + (g_Na/g_T)·E_Na + (g_Cl/g_T)·E_Cl
Goldman-Hodgkin-Katz Equation uses relative permeabilities (P):
E_m = 61·log [(P_K[K+]out + P_Na[Na+]out + P_Cl[Cl-]in) / (P_K[K+]in + P_Na[Na+]in + P_Cl[Cl-]out)]
At rest: P_K : P_Na : P_Cl ≈ 1 : 0.04 : 0.45, so K+ dominates → RMP ≈ -70 to -90 mV.
(Costanzo Physiology 7th Ed; Guyton & Hall Medical Physiology)

PART 2: EFFECTS OF HYPOKALEMIA ON RMP

Definition: Serum K+ < 3.5 mEq/L
Hypokalemia - Effects on Membrane Potential

Mechanism:

  • Low extracellular K+ → [K+]in / [K+]out ratio increases
  • By the Nernst equation, E_K becomes more negative
  • More K+ diffuses outward → interior becomes more negative

Effect on Skeletal Muscle - HYPERPOLARIZATION:

  • RMP shifts from -90 mV toward -100 mV (more negative)
  • Cell is further from threshold → harder to excite
  • Clinical result: muscle weakness → paralysis (including diaphragm in severe cases)

Effect on Cardiac Cells - PARADOXICAL DEPOLARIZATION:

  • Human cardiac Purkinje fibers express K2P1 (TWIK-1) channels
  • Hypokalemia causes TWIK-1 to switch from K+-selective transport to Na+ influx
  • This causes paradoxical depolarization in cardiac conducting tissue
  • Rodent cardiac cells (lacking TWIK-1) respond with predicted hyperpolarization - confirming the TWIK-1 mechanism

Additional Cardiac Mechanism:

  • Hypokalemia downregulates Na+/K+-ATPase activity
  • Intracellular Na+ rises → impedes Na+-Ca2+ exchanger → intracellular Ca2+ overload
  • Activates calmodulin kinase II → late Na+ and Ca2+ currents → early afterdepolarizations
  • Accelerates internalization of HERG K+ channels (IKr) → reduced repolarization reserve

ECG Changes in Hypokalemia:

  • Broad flat T waves, ST depression
  • Prominent U waves
  • Prolonged QT interval
  • Risk of torsades de pointes and polymorphic VT (when K+ < 2.7 mEq/L)
(Brenner & Rector's The Kidney; Katzung's Pharmacology)

PART 3: EFFECTS OF HYPERKALEMIA ON RMP

Definition: Serum K+ > 5.5 mEq/L
Hyperkalemia - Effects on Membrane Potential

Mechanism:

  • High extracellular K+ → [K+]in / [K+]out ratio decreases
  • E_K becomes less negative (Nernst equation)
  • Less K+ diffuses outward → less interior negativity

Effect - DEPOLARIZATION (two phases):

Phase 1 - Partial Depolarization (increased excitability):
  • RMP shifts from -90 mV toward -70 mV (closer to threshold ~-55 mV)
  • Cell is easier to fire → hyperexcitability
  • Clinical: muscle fasciculations, paresthesias, tingling
Phase 2 - Sustained Depolarization (decreased excitability):
  • Prolonged depolarization → voltage-gated Na+ channels get inactivated (h gates closed)
  • Channels remain in inactivated, non-conducting state
  • Cell cannot fire action potentials despite being closer to threshold
  • Clinical: flaccid muscle weakness → paralysis

Cardiac Effects:

  • Depolarizes cardiac myocytes → reduces RMP from -90 mV toward less negative values
  • Hyperkalemia depresses ectopic pacemakers (suppresses SA node only in severe cases)
  • Slows conduction through the AV node and His-Purkinje system
  • Both insufficient AND excess K+ are arrhythmogenic

ECG Changes in Hyperkalemia (progressive with rising K+):

  1. Peaked, tall, narrow T waves (early, K+ 5.5-6.5)
  2. Prolonged PR interval, widened QRS (K+ 6.5-8.0)
  3. Flattened/absent P waves
  4. Sine wave pattern (merging of QRS and T)
  5. Ventricular fibrillation / asystole (K+ > 8-9 mEq/L)
(Katzung's Pharmacology 16th Ed; Goldman-Cecil Medicine)

PART 4: COMPARISON TABLE

Hypokalemia vs Hyperkalemia Comparison Table

SUMMARY POINTS FOR 10-MARK ANSWER

HypokalemiaHyperkalemia
K+ outside
[K+]in/[K+]out ratio
RMPHyperpolarized (more -ve)Depolarized (less -ve)
Skeletal excitability↓ (weakness/paralysis)↑ then ↓ (fasciculations then paralysis)
CardiacParadoxical depolarization (TWIK-1)Depolarization → Na+ channel inactivation
ECGFlat T, U waves, long QT, TdPPeaked T → wide QRS → sine wave → VF
Key mnemonic: "HyPO-K HyPERpolarizes skeletal muscle, HyPER-K DEpolarizes all cells."
Sources: Guyton & Hall Medical Physiology, Costanzo Physiology 7th Ed, Brenner & Rector's The Kidney, Katzung's Basic & Clinical Pharmacology 16th Ed.
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