Cell Structure and Function: Organelles, Membranes, Transport, Protein Targeting, Signalling and Ion Channels
2. Biological membranes
The fluid mosaic model (Singer and Nicolson, 1972) pictures proteins floating in a lipid bilayer. Lipids and proteins diffuse laterally within a leaflet quickly (measured by fluorescence recovery after photobleaching), but transverse flip-flop is very slow unless catalysed. The two leaflets differ: phosphatidylcholine, sphingomyelin and glycolipids face outward, while phosphatidylserine and phosphatidylethanolamine face the cytosol. ATP-driven flippases keep phosphatidylserine inside; during apoptosis scramblases expose it, marking the cell for removal by phagocytes. Fluidity rises with unsaturated and shorter fatty acids; cholesterol buffers it, stiffening fluid membranes and preventing gelling of cold ones, and bacteria grown in the cold make more unsaturated fatty acids (homeoviscous adaptation). Cholesterol- and sphingolipid-rich rafts gather signalling proteins.
- Integral proteins span the bilayer, usually as α-helices of about 20 hydrophobic residues (20 × 0.15 nm = 3 nm, the thickness of the hydrophobic core), which show as peaks in a hydropathy plot; β-barrel porins of bacterial, mitochondrial and chloroplast outer membranes use short strands of alternating polar and nonpolar residues that such plots miss. Detergents are needed to extract them.
- Peripheral proteins bind head groups or other proteins electrostatically and are released by high salt or a change of pH.
- Lipid-anchored proteins carry a GPI anchor on the outer face, or a myristoyl, palmitoyl or prenyl group on the cytosolic face.
3. Transport across membranes
The free energy of moving one mole of solute into a cell is ΔG = RT ln(C_in/C_out) + zFΔψ, where Δψ = ψ_in − ψ_out. Worked example: Na⁺ entering a cell at 310 K with 12 mM inside, 145 mM outside and Δψ = −70 mV gives RT ln(12/145) = −6.42 kJ mol⁻¹ and zFΔψ = 96485 × (−0.070) = −6.75 kJ mol⁻¹, a total of −13.2 kJ mol⁻¹. Both terms favour entry, and this stored energy drives secondary active transport.
| Mode | Energy and kinetics | Examples |
|---|---|---|
| Simple diffusion | Down the gradient; rate proportional to the gradient and to lipid solubility; not saturable | O₂, CO₂, steroid hormones |
| Facilitated diffusion (uniporter) | Down the gradient; saturable, with a Km; specific | GLUT1 glucose transporter of erythrocytes |
| Ion channels | Down the electrochemical gradient; gated; up to 10⁷–10⁸ ions per second, far faster than carriers | K⁺ and voltage-gated Na⁺ channels; aquaporins for water |
| Primary active transport | Uphill, driven by ATP | P-type Na⁺/K⁺-ATPase (3 Na⁺ out, 2 K⁺ in per ATP, phospho-Asp intermediate) and SERCA Ca²⁺ pump; V-type H⁺ pumps of lysosomes; ABC transporters such as the multidrug pump MDR1 |
| Secondary active transport | Uphill for one solute, driven by an ion moving downhill | Intestinal Na⁺–glucose symporter SGLT1 (2 Na⁺ per glucose); Na⁺/Ca²⁺ exchanger; lactose permease of E. coli (H⁺ symport) |
4. Membrane assembly, protein targeting and degradation
Membranes grow only from existing membranes. Phospholipids are made on the cytosolic face of the smooth ER, moved to the other leaflet by flippases and scramblases, and delivered elsewhere by vesicles and lipid-transfer proteins. Proteins carry their address in their sequence (Blobel's signal hypothesis). For the secretory pathway, an N-terminal signal sequence with a core of about 10–15 hydrophobic residues emerges from the ribosome, the signal recognition particle (SRP) binds it and pauses translation, the SRP receptor docks the ribosome on the ER, and the chain is threaded through the Sec61 translocon; signal peptidase removes the signal. A hydrophobic stop-transfer segment instead leaves the protein spanning the membrane, and the ER lumen becomes the outside of the cell, so membrane topology is preserved. COPII vesicles carry cargo from ER to Golgi, COPI vesicles return escaped ER proteins and move cargo within the Golgi, and clathrin vesicles serve endocytosis and trans-Golgi-to-endosome traffic; Rab GTPases and paired v-SNAREs and t-SNAREs make each vesicle fuse with the right target. Without further signals, a protein that enters the ER is secreted.
| Destination | Signal | Machinery |
|---|---|---|
| ER lumen (resident) | Signal sequence plus C-terminal Lys-Asp-Glu-Leu (KDEL) | KDEL receptor retrieves escapees by COPI |
| Lysosome | Mannose 6-phosphate on N-glycans | GlcNAc phosphotransferase in cis-Golgi; M6P receptors in trans-Golgi; clathrin vesicles |
| Mitochondrial matrix | N-terminal amphipathic helix with basic residues, cleaved after import | TOM and TIM complexes; needs membrane potential and matrix Hsp70 with ATP |
| Nucleus | Internal basic NLS, e.g. Pro-Lys-Lys-Lys-Arg-Lys-Val of SV40 large T antigen; not cleaved | Importins through nuclear pores; a Ran-GTP gradient gives direction |
| Peroxisome | C-terminal Ser-Lys-Leu | Pex receptors; folded proteins are imported |
Degradation keeps proteins in balance and removes damaged ones. In the ubiquitin–proteasome pathway, ubiquitin (76 residues) is joined by its C-terminal Gly to Lys side chains of the target through E1 (activating, uses ATP), E2 (conjugating) and E3 (ligase, which chooses the substrate). Chains linked through Lys48 send the protein to the 26S proteasome, a 20S barrel with protease sites inside, capped by 19S particles that recognise, unfold and feed in the substrate using ATP. Cyclins, p53 and misfolded ER proteins go this way, and the proteasome inhibitor bortezomib treats multiple myeloma. Lysosomes degrade endocytosed proteins and, by autophagy, whole organelles.
5. Biosignalling and receptor–ligand interaction
Signalling systems share four features: specificity (receptor–ligand complementarity), amplification (one receptor activates many G proteins, each enzyme many products), desensitisation (the response fades while the signal persists) and integration of several inputs.
| Class | How it signals | Example |
|---|---|---|
| G protein-coupled receptor (seven transmembrane helices) | Ligand makes Gα exchange GDP for GTP. Gs activates adenylyl cyclase (cAMP, protein kinase A); Gi inhibits it; Gq activates phospholipase Cβ, whose IP₃ releases ER Ca²⁺ and whose diacylglycerol activates protein kinase C | β-Adrenergic receptor, rhodopsin |
| Receptor tyrosine kinase | Ligand-induced dimerisation and autophosphorylation; phosphotyrosines recruit SH2-domain proteins, leading to Ras–MAP kinase and PI3-kinase–Akt pathways | Insulin and EGF receptors |
| Guanylyl cyclase | Makes cGMP, which activates protein kinase G | Natriuretic peptide receptor; soluble enzyme activated by NO |
| Ligand-gated ion channel | Binding opens a pore | Nicotinic acetylcholine receptor, GABA_A receptor |
| Nuclear receptor | Ligand-activated transcription factor | Steroid, thyroid hormone and vitamin D receptors |
Signals are switched off by the GTPase of Gα, by phosphodiesterases (caffeine inhibits the cAMP enzyme; sildenafil inhibits the cGMP-specific PDE5), by phosphatases, and by receptor kinases plus β-arrestin, which desensitise GPCRs. Receptor–ligand binding follows R + L ⇌ RL with Kd = [R][L]/[RL], so the fraction of receptors occupied is θ = [L]/(Kd + [L]) with [L] the free ligand: 50% at [L] = Kd, 80% at 4Kd, 90% at 9Kd. A Scatchard plot of bound/free against bound is a line of slope −1/Kd whose x-intercept is the total receptor number, Bmax. A competitive antagonist multiplies the apparent Kd by (1 + [I]/Ki): with Kd = 1 nM and 4 nM agonist, occupancy is 80%, but an antagonist at 3Ki raises the apparent Kd to 4 nM and occupancy falls to 50%. Many tissues have spare receptors, giving a full response at partial occupancy.
6. Two-component systems, hormones and neurotransmitters
Bacteria sense their surroundings mainly through two-component systems. A sensor histidine kinase, usually in the membrane, autophosphorylates on a conserved His when it detects its stimulus, then transfers the phosphoryl group to a conserved Asp in the receiver domain of a response regulator, often a transcription factor; phosphatase activity resets the system. In E. coli, EnvZ–OmpR shifts outer-membrane porin expression from OmpF to OmpC at high osmolarity, and in chemotaxis CheA phosphorylates CheY, which binds the flagellar motor and makes the cell tumble. Plants use related histidine kinases as ethylene and cytokinin receptors, but animals do not signal this way, which makes these systems attractive antibacterial targets.
Hormones act by their chemistry. Water-soluble peptide hormones (insulin, glucagon) and catecholamines (epinephrine) bind surface receptors and act in seconds to minutes; lipid-soluble steroids (cortisol, estradiol, aldosterone) and thyroid hormones cross the membrane, bind nuclear receptors and change transcription over hours. Eicosanoids act locally (paracrine), and nitric oxide is a gas that diffuses to neighbouring cells. Hypothalamic and pituitary hormones control peripheral glands through negative feedback.
| Transmitter | Source | Receptors and action | Signal ended by |
|---|---|---|---|
| Acetylcholine | Choline + acetyl-CoA | Nicotinic (cation channel, neuromuscular junction); muscarinic (GPCR) | Hydrolysis by acetylcholinesterase |
| Glutamate | Amino acid pool | Main excitatory transmitter; AMPA and NMDA channels (NMDA is Ca²⁺-permeable and blocked by Mg²⁺ at rest) | Uptake by transporters |
| GABA | Glutamate, by PLP-dependent glutamate decarboxylase | Main inhibitory transmitter of the brain; GABA_A is a Cl⁻ channel | Uptake |
| Glycine | Amino acid pool | Inhibitory Cl⁻ channel in spinal cord | Uptake |
| Dopamine, norepinephrine | Tyrosine (tyrosine hydroxylase is rate-limiting) | GPCRs | Reuptake; monoamine oxidase |
| Serotonin | Tryptophan | Mostly GPCRs (5-HT3 is a channel) | Reuptake, blocked by SSRI antidepressants |
7. Ion channels, membrane potential and toxins
The Na⁺/K⁺-ATPase keeps K⁺ high inside and Na⁺ high outside. At rest the membrane is permeable mainly to K⁺, through leak channels, so the potential sits near the K⁺ equilibrium potential given by the Nernst equation, E = (RT/zF) ln([X]out/[X]in), which is (61.5 mV/z) log₁₀([X]out/[X]in) at 37 °C. With K⁺ 5 mM outside and 140 mM inside, E_K = −89 mV; with Na⁺ 145 and 15 mM, E_Na = +61 mV. The Goldman–Hodgkin–Katz equation weights each ion by its permeability: Vm = (RT/F) ln[(PK[K⁺]o + PNa[Na⁺]o + PCl[Cl⁻]i)/(PK[K⁺]i + PNa[Na⁺]i + PCl[Cl⁻]o)], with the Cl⁻ terms inverted because its charge is negative; Vm lies between E_K and E_Na, closer to the more permeant ion.
In an action potential, depolarisation to threshold opens voltage-gated Na⁺ channels, whose positively charged S4 helices sense voltage; Na⁺ entry depolarises further (positive feedback) towards E_Na. Within about a millisecond an inactivation gate closes the Na⁺ channels and slower voltage-gated K⁺ channels open, repolarising and briefly hyperpolarising the membrane. Inactivation causes the refractory period and keeps conduction one-way; myelin makes it saltatory. The K⁺ channel's selectivity filter (signature TVGYG) uses backbone carbonyl oxygens to replace the water shell of K⁺, which the smaller Na⁺ cannot use, so the channel is both fast and selective.
| Agent | Target | Result |
|---|---|---|
| Tetrodotoxin (puffer fish), saxitoxin (shellfish) | Plug voltage-gated Na⁺ channels from outside | No action potentials; paralysis |
| Tetraethylammonium | Voltage-gated K⁺ channels | Slower repolarisation |
| α-Bungarotoxin (snake), curare | Nicotinic acetylcholine receptor | Flaccid paralysis |
| Botulinum toxin | Protease that cleaves SNAREs in motor nerve terminals | No acetylcholine release; flaccid paralysis |
| Tetanus toxin | Cleaves synaptobrevin in inhibitory spinal interneurons | Spastic paralysis |
| Strychnine | Blocks glycine receptors | Convulsions |
| Organophosphates (sarin, parathion) | Acetylcholinesterase active-site Ser | Acetylcholine accumulates |
| Cholera toxin | ADP-ribosylates Gsα, blocking its GTPase | cAMP stays high; CFTR secretes Cl⁻ and water; diarrhoea |
| Pertussis toxin | ADP-ribosylates Giα, preventing its activation | Adenylyl cyclase loses inhibition; cAMP rises |
| Ouabain, digoxin | Na⁺/K⁺-ATPase | Cell Na⁺ rises, Na⁺/Ca²⁺ exchange slows, heart contracts more strongly |
| Valinomycin | K⁺ ionophore | Collapses K⁺ gradients and membrane potential |
Key takeaways
- Compartments separate incompatible chemistry: rough ER makes secretory and membrane proteins, smooth ER lipids, Golgi sorts and tags, lysosomes digest at pH 5, peroxisomes handle H₂O₂ and very-long-chain fatty acids, mitochondria make ATP. Differential centrifugation plus marker enzymes (glucose 6-phosphatase for ER) identifies fractions.
- Membranes are asymmetric fluid bilayers: fast lateral, slow transverse diffusion; phosphatidylserine inside until apoptosis; cholesterol buffers fluidity. Transmembrane helices are about 20 hydrophobic residues long.
- ΔG = RT ln(C_in/C_out) + zFΔψ decides direction. Facilitated diffusion is saturable but downhill; channels are fastest; the Na⁺/K⁺-ATPase moves 3 Na⁺ out and 2 K⁺ in per ATP; SGLT1 and other symporters use the Na⁺ gradient.
- Address labels: ER signal sequence with SRP and Sec61, KDEL for ER retention, mannose 6-phosphate for lysosomes, cleaved amphipathic presequence for mitochondria, uncleaved basic NLS with Ran-GTP for the nucleus, C-terminal SKL for peroxisomes. Lys48 polyubiquitin from E1–E2–E3 sends proteins to the ATP-dependent 26S proteasome.
- Receptors are GPCRs (Gs, Gi, Gq), tyrosine kinases, guanylyl cyclases, ligand-gated channels and nuclear receptors; occupancy θ = [L]/(Kd + [L]), and a competitive antagonist multiplies Kd by (1 + [I]/Ki). Bacterial two-component systems pass phosphate from a sensor His to a regulator Asp.
- The resting potential sits near E_K (Nernst: 61.5/z × log ratio mV at 37 °C), and the Goldman equation weights ions by permeability. Voltage-gated Na⁺ and K⁺ channels make the action potential; tetrodotoxin, curare, botulinum, tetanus, cholera and pertussis toxins, organophosphates and ouabain each hit one named step.
Practice questions (18)
Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.
Which organelle carries out the first steps in the oxidation of very-long-chain fatty acids and contains catalase to destroy the hydrogen peroxide made by its oxidases?
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Answer: A — Peroxisome, a single-membrane organelle that imports its folded enzymes
Peroxisomes begin the β-oxidation of very-long-chain fatty acids with an oxidase that hands electrons straight to O₂, making H₂O₂, which their catalase destroys; in Zellweger syndrome these fatty acids accumulate. Mitochondria oxidise most ordinary fatty acids but have no catalase-based H₂O₂ system for this; lysosomes hydrolyse rather than oxidise lipids; the smooth ER synthesises lipids.A rat liver homogenate is centrifuged in steps at 1,000 g for 10 min, 20,000 g for 20 min and 100,000 g for 60 min, collecting the pellet after each step. In which fraction is glucose 6-phosphatase activity most enriched?
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Answer: D — The 100,000 g pellet, which contains microsomes formed from the ER
Glucose 6-phosphatase is an integral ER membrane enzyme, the classic microsomal marker, so it sediments with the small ER vesicles at 100,000 g. Mitochondria (marker succinate dehydrogenase) pellet at 20,000 g, and the cytosol (marker lactate dehydrogenase) stays in the supernatant. The enzyme's role in releasing glucose from the liver tempts some to place it in the cytosol, but its active site faces the ER lumen.Cultured fibroblasts from a child secrete many different lysosomal acid hydrolases into the medium, while their lysosomes fill with undigested material. Which single defect best explains this?
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Answer: B — Loss of the cis-Golgi phosphotransferase that starts the mannose 6-phosphate tag on lysosomal enzymes
This is I-cell disease. Without the phosphotransferase, lysosomal enzymes carry no mannose 6-phosphate, are not captured by M6P receptors in the trans-Golgi, and follow the default route out of the cell, so many hydrolases appear in the medium and lysosomes lack them. A V-ATPase defect would leave enzymes inside, merely inactive; an SRP receptor defect would block entry into the ER, so the enzymes could not be secreted at all; a single-enzyme defect such as Tay–Sachs affects one substrate and does not divert many enzymes outward.In a healthy cell, phosphatidylserine is confined almost entirely to the cytosolic leaflet of the plasma membrane. What does its appearance on the outer leaflet usually signal?
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Answer: C — The cell is undergoing apoptosis and should be engulfed by phagocytes
ATP-dependent flippases keep phosphatidylserine in the inner leaflet. In apoptosis they are switched off and scramblases are activated, so phosphatidylserine reaches the surface, where macrophage receptors recognise it as an “eat me” signal (and annexin V detects it in the laboratory). Cholesterol depletion does not mix the leaflets, and neither division nor receptor activation is signalled this way.Which of the following statements about transport across the plasma membrane are correct?
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Answer: A — GLUT1 of erythrocytes shows saturation with a characteristic Km but cannot move glucose against its concentration gradient; C — The Na⁺/K⁺-ATPase moves 3 Na⁺ out and 2 K⁺ in for each ATP hydrolysed, so it is electrogenic
GLUT1 is a uniporter for facilitated diffusion: saturable and specific, but only downhill. The Na⁺/K⁺-ATPase exchanges 3 Na⁺ for 2 K⁺ per ATP, moving one net charge out per cycle. SGLT1 is secondary active: it uses the Na⁺ gradient made by the pump, not ATP directly. Channels conduct up to 10⁷–10⁸ ions per second, far faster than carriers, because no conformational cycle is needed per ion.The hydropathy plot of a newly cloned plasma-membrane protein shows seven peaks, each a run of about 20 consecutive hydrophobic residues. What is the most likely structure of the protein?
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Answer: D — An integral protein with seven membrane-spanning α-helices, like a GPCR
About 20 residues in an α-helix span roughly 3 nm, the thickness of the hydrophobic core, so each peak marks one transmembrane helix and seven peaks fit a seven-helix receptor such as a G protein-coupled receptor. β-barrel strands are shorter and alternate polar and nonpolar residues, so they do not give long hydrophobic peaks; peripheral proteins and soluble enzymes lack such long uninterrupted hydrophobic runs.A normally cytosolic protein is engineered to carry an N-terminal ER signal sequence and the C-terminal sequence Lys-Asp-Glu-Leu (KDEL). Where will most of the protein be found at steady state?
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Answer: C — In the ER lumen, since KDEL receptors return escaped copies from the Golgi by COPI
The signal sequence sends the protein into the ER co-translationally via SRP and Sec61, and KDEL is the ER-retrieval signal: copies that reach the cis-Golgi bind KDEL receptors and return in COPI vesicles. Without KDEL the protein would indeed be secreted by default, which is the tempting answer. ER signal sequences are hydrophobic and differ from the amphipathic, basic mitochondrial presequences, and sorting signals work when fused to proteins that are normally cytosolic.Which of the following statements about the ubiquitin–proteasome pathway are correct?
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Answer: B — Proteins tagged with Lys48-linked polyubiquitin are unfolded and degraded by the 26S proteasome in an ATP-dependent process; D — E3 ubiquitin ligases recognise particular substrates and so give the system its specificity
Lys48-linked chains are the degradation signal read by the 19S caps of the 26S proteasome, which unfold the substrate and feed it into the 20S core using ATP; the many E3 ligases, each recognising particular degrons, provide specificity. The proteasome is a cytosolic and nuclear particle, not a lysosomal one. Ubiquitin is joined through the carboxyl group of its C-terminal glycine to lysine ε-amino groups by an isopeptide bond.Proteins with a nuclear localisation signal accumulate in the nucleus even though nuclear pores are aqueous channels open in both directions. What makes the import directional?
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Answer: A — A Ran-GTP gradient, high in the nucleus where its exchange factor binds chromatin, makes importins release cargo only inside
The Ran exchange factor (on chromatin) keeps nuclear Ran in the GTP form, while the Ran GTPase-activating protein in the cytosol keeps cytosolic Ran as GDP. Importin binds cargo in the cytosol, crosses the pore, and releases it when Ran-GTP binds in the nucleus; the importin–Ran-GTP complex returns and GTP is hydrolysed in the cytosol. This asymmetry, paid for by GTP, sets the direction. Nuclear localisation signals are not cleaved (proteins are re-imported after every mitosis), the pore is not an ATP pump, and SRP serves the ER.Which of the following statements about toxins are correct?
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Answer: A — Cholera toxin ADP-ribosylates Gsα and blocks its GTPase, so adenylyl cyclase stays active in intestinal cells; D — Botulinum toxin is a protease that cleaves SNARE proteins and so stops acetylcholine release
Cholera toxin locks Gsα in its GTP-bound active state, so cAMP stays high and CFTR drives Cl⁻ and water into the gut; botulinum toxin cleaves SNAREs at motor nerve terminals, causing flaccid paralysis. α-Bungarotoxin binds the nicotinic acetylcholine receptor, not the voltage-gated Na⁺ channel (that is tetrodotoxin's target). Ouabain inhibits the Na⁺/K⁺-ATPase; the resulting rise in cell Na⁺ slows Ca²⁺ extrusion and strengthens heart contraction.In a bacterial two-component system, the sensor kinase autophosphorylates on a conserved histidine when it detects its stimulus and then transfers the phosphoryl group to a conserved aspartate in the receiver domain of the response regulator. If that aspartate is replaced by asparagine, what is expected?
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Answer: B — The sensor still autophosphorylates, but the regulator cannot accept the phosphate, so the response is lost
Asparagine has an amide instead of the carboxylate that forms the acyl-phosphate, so the regulator cannot be phosphorylated and cannot switch on its targets. Autophosphorylation of the sensor histidine happens within the kinase (using ATP) and does not need the regulator, so the sensor side still works. Histidine kinases do not phosphorylate serine, and an Asp→Asn change removes, rather than mimics, the phosphorylated state, so constitutive activation is not expected.A hormone binds a single class of independent receptor sites with Kd = 3.0 nM. At what free hormone concentration, in nM, are 80% of the receptors occupied?
Numerical answer — type the value.
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Answer: 12
θ = [L]/(Kd + [L]) = 0.80 gives [L] = 0.80Kd/0.20 = 4Kd = 4 × 3.0 = 12 nM. Using 0.8 × Kd (2.4 nM) confuses occupancy with concentration.An agonist binds its receptor with Kd = 2.0 nM, and a competitive antagonist binds the same site with Ki = 5.0 nM. With free agonist at 10 nM and free antagonist at 40 nM, what percentage of the receptors are occupied by the agonist at equilibrium? Give the answer to one decimal place.
Numerical answer — type the value.
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Answer: 35.7
The antagonist raises the apparent Kd to Kd(1 + [I]/Ki) = 2.0 × (1 + 40/5.0) = 2.0 × 9 = 18 nM. Agonist occupancy = 10/(18 + 10) = 0.357, i.e. 35.7%. Without antagonist it would be 10/12 = 83.3%.A hormone acting through a Gq-coupled receptor raises cytosolic Ca²⁺ within seconds. Which sequence explains this?
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Answer: D — Gq activates phospholipase Cβ, and IP₃ then opens Ca²⁺ channels in the ER membrane
Gqα activates phospholipase Cβ, which splits PIP₂ into IP₃ and diacylglycerol. Water-soluble IP₃ diffuses to IP₃-gated Ca²⁺ channels in the ER membrane; diacylglycerol stays in the membrane and, with Ca²⁺, activates protein kinase C. The distractor that gives diacylglycerol the channel-opening role swaps the two messengers; adenylyl cyclase is the Gs effector.Which of the following statements about hormones and neurotransmitters are correct?
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Answer: B — Steroid hormones such as cortisol cross the plasma membrane and bind intracellular receptors that act as transcription factors; C — GABA acting on GABA_A receptors opens Cl⁻ channels and usually inhibits the postsynaptic neuron
Lipid-soluble steroids act through nuclear receptors that bind DNA, and GABA_A receptors are ligand-gated Cl⁻ channels whose opening usually hyperpolarises or clamps the neuron. The insulin receptor is a receptor tyrosine kinase, not a GPCR. Acetylcholine is hydrolysed in the synaptic cleft by acetylcholinesterase, and only the choline is taken back up; reuptake of intact transmitter is how monoamines such as serotonin are cleared.At 37 °C (310 K), [K⁺] is 5.0 mM outside and 140 mM inside a neuron. Using R = 8.314 J mol⁻¹ K⁻¹ and F = 96485 C mol⁻¹, what is the K⁺ equilibrium (Nernst) potential, inside relative to outside, in mV? Give the nearest integer, with its sign.
Numerical answer — type the value.
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Answer: -89
E_K = (RT/zF) ln([K⁺]out/[K⁺]in). RT/F = 8.314 × 310/96485 = 0.02671 V = 26.71 mV; z = +1. ln(5.0/140) = ln(0.03571) = −3.332. E_K = 26.71 × (−3.332) = −89.0 mV, so −89. Inverting the ratio gives +89, the wrong sign.A cell has [K⁺] 140 mM inside and 5.0 mM outside, and [Na⁺] 15 mM inside and 145 mM outside. Its resting permeabilities are in the ratio PK : PNa = 1 : 0.05, and Cl⁻ can be ignored. Using the Goldman–Hodgkin–Katz equation with RT/F = 26.7 mV, what is the resting membrane potential (inside relative to outside) in mV? Give the answer with its sign, to one decimal place.
Numerical answer — type the value.
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Answer: -65.2
Vm = (RT/F) ln[(PK[K⁺]o + PNa[Na⁺]o)/(PK[K⁺]i + PNa[Na⁺]i)]. Numerator: 1 × 5.0 + 0.05 × 145 = 5.0 + 7.25 = 12.25. Denominator: 1 × 140 + 0.05 × 15 = 140.75. ln(12.25/140.75) = ln(0.08703) = −2.441. Vm = 26.7 × (−2.441) = −65.2 mV, between E_K (−89 mV) and E_Na (+61 mV) and closer to E_K because K⁺ is far more permeant.Tetrodotoxin applied to an isolated nerve abolishes action potentials within minutes but leaves the resting potential almost unchanged. Ouabain applied to the same nerve leaves action potentials intact at first, but the resting potential declines slowly over hours. Which explanation fits both observations?
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Answer: C — Tetrodotoxin blocks the voltage-gated Na⁺ channels of the upstroke; ouabain stops the pump, so ion gradients run down slowly
The resting potential depends on K⁺ leak through open channels and on the existing gradients, not on voltage-gated Na⁺ channels, which are closed at rest; so tetrodotoxin abolishes only the regenerative upstroke. The pump's direct electrogenic contribution is small, so blocking it with ouabain lets the large ion stores run down only gradually, and the potential falls over hours. Tetrodotoxin does not act on the pump or on synaptic release, and ouabain is not a channel blocker.