A lung holds 4 hundred million alveoli, each a sphere of radius 132 micrometres. Taking the surface of a sphere as 4·π·r2, what total alveolar surface area does that give, in square metres?
3B. Breathing Mechanisms and Differential Pressure
With the airway clamped, the lungs hold 2479 mL of air at 761 mmHg. The diaphragm drops and thoracic volume rises to 3073 mL. What is the new intrapulmonary pressure, by Boyle's law?
Tidal volume is 609 mL, respiratory rate is 16 breaths per minute, and anatomical dead space is 176 mL. Find the alveolar ventilation in litres per minute.
3B. Control of Breathing, pH, and Thermoregulation
Plasma bicarbonate is 26 mM and dissolved carbon dioxide contributes 1.389 mM of carbonic acid. Using pH = 6.1 + log10 of bicarbonate over carbonic acid, find the blood pH.
3B. The Four-Chambered Heart and the Cardiac Cycle
The SA node fires at 87 per minute, the AV node at 50 per minute, and the Purkinje fibres at 34 per minute. If the SA node fails completely and the AV node takes over, by how many beats per minute does the heart rate fall?
The systemic circuit drops a mean pressure of 95 mmHg across it and the pulmonary circuit drops 12 mmHg, and both carry the same cardiac output. How many times greater is systemic vascular resistance than pulmonary?
Systolic pressure is 143 mmHg and diastolic pressure is 83 mmHg. Using mean arterial pressure = diastolic plus one third of the pulse pressure, find the mean arterial pressure.
3B. Capillary Beds, Solute Exchange, and Heat Exchange
At the arterial end of a capillary the hydrostatic pressure is 38 mmHg and the plasma oncotic pressure is 27 mmHg, while the interstitial hydrostatic pressure is 3 mmHg and the interstitial oncotic pressure is 5 mmHg. Find the net filtration pressure.
A spun tube of blood stands 104 mm tall in total, and the packed red cell layer at the bottom measures 45 mm. What is the haematocrit, as a percentage?
3B. Oxygen Transport and the Hemoglobin Dissociation Curve
Arterial blood is 98 percent saturated and the venous blood returning from a tissue is 74 percent saturated. Haemoglobin is 15 g/dL and each gram carries 1.34 mL of oxygen when fully saturated. How many millilitres of oxygen does each decilitre of blood hand over to that tissue?
Of the carbon dioxide leaving a tissue, 72 percent travels as bicarbonate and 23 percent as carbamino compounds on haemoglobin, with the remainder simply dissolved. What percentage travels dissolved?
In the coagulation cascade each activated enzyme switches on 10 molecules of the next factor, and the chain runs 4 steps below the trigger. How many molecules of the final factor does a single trigger molecule activate?
Capillaries filter 21 litres of fluid into the tissues each day and reabsorb 17 litres of it at their venous ends. How many litres must the lymphatics return to the bloodstream daily?
Bacteria entering a wound double every 49 minutes. Starting from 4 thousand organisms, how many million are present after 8 hours if nothing stops them?
3B. T Lymphocytes, Antigen Presentation, and the MHC
A macrophage displays 154 thousand MHC class II molecules on its surface, and 6 percent of them carry a peptide from the pathogen it has just digested. How many pathogen-derived peptide-MHC complexes does the cell display?
3B. B Lymphocytes, Antibodies, and Clonal Selection
A plasma cell secretes 2393 antibody molecules every second and survives 6 days. How many billion antibody molecules does it release over its working life?
A primary response peaks at an antibody titre of 154 units, and the secondary response after a booster peaks at 5894 units. How many times higher is the secondary peak?
3B. Self Versus Nonself, Autoimmunity, and Immune Tissues
Of the 68 million thymocytes entering the thymus each day, 80 percent fail positive selection and a further 14 percent of the original number are deleted by negative selection. How many million leave as mature T cells?
Salivary amylase cleaves 154 glycosidic bonds per second per enzyme molecule. Saliva delivers 7 million enzyme molecules to a bolus that is chewed for 29 seconds. How many billion bonds are cleaved before swallowing?
A smooth tube of intestine would offer 0.679 square metres of surface. Circular folds multiply that 3 times, villi a further 12 times, and microvilli a further 18 times. What total absorptive area results?
Bile breaks a fat droplet of radius 779 micrometres into droplets of radius 4 micrometres with no loss of total volume. By what factor does the total surface area available to lipase increase?
3B. The Large Intestine, Bacterial Flora, and Elimination
Fatty chyme entering the duodenum lifts plasma cholecystokinin from 2 pmol/L to 28 pmol/L over 29 minutes. What is the mean rate of rise, in pmol/L per minute?
The kidneys filter 184 litres of plasma per day and produce 1.97 litres of urine. What percentage of the filtrate escapes reabsorption and leaves the body?
Glomerular capillary hydrostatic pressure is 58 mmHg, Bowman's capsule pressure is 15 mmHg, and plasma oncotic pressure is 30 mmHg. With a filtration coefficient of 11 mL per minute per mmHg, what is the glomerular filtration rate?
Plasma sodium is 142 mM and the glomerular filtration rate is 126 mL per minute. If 99.49 percent of the filtered sodium is reabsorbed along the tubule, how many millimoles of sodium are excreted per minute?
3B. The Countercurrent Multiplier and Urine Concentration
Filtrate enters the descending limb at 304 mOsm/L and 49 mL per minute. By the bend of the loop it is 1160 mOsm/L, with no solute added or removed. What volume per minute remains at the bend?
3B. Osmoregulation, Blood Pressure, and Acid-Base Balance
A patient's plasma holds 144 mM sodium, 223 mg/dL glucose and 24 mg/dL urea. Using osmolarity = 2 times sodium, plus glucose over 18, plus urea over 2.8, find the plasma osmolarity in mOsm/L.
The testes produce 204 million sperm per day, and maturation and storage in the epididymis take 14 days. How many billion sperm are in transit through that system at any moment?
3B. Hormonal Control of the Female Reproductive Cycle
A smooth muscle cell takes 5 seconds to reach peak tension, a cardiac cell 247 milliseconds, and a skeletal fibre 57 milliseconds. How many times faster than the smooth muscle does the skeletal fibre reach its peak?
Each power stroke slides a thin filament 10 nanometres past the thick filament, and a half-sarcomere shortens by 460 nanometres during one contraction. How many crossbridge cycles must each myosin head complete?
3B. Excitation-Contraction Coupling, Calcium, and Troponin
A muscle contains 479 motor units of 619 fibres each, and every fibre develops 4 millinewtons of force. What total force, in newtons, does full recruitment produce?
A muscle holds 6 millimoles of ATP and 24 millimoles of creatine phosphate per kilogram, and an all-out sprint burns 5 millimoles of ATP per kilogram per second. How many seconds can those stores alone sustain it?
A limb held weightless loses 2 percent of its remaining bone mineral density every month. After 9 months, what percentage of the original density is left?
A healing bone fracture regains 87 percent of its original strength within 15 weeks, while an articular cartilage defect of similar size regains 7 percent over the same period. How many times better is the bone's recovery?
3B. Bone Growth, Calcium Storage, and Endocrine Control
The skeleton holds 1109 grams of calcium while the plasma holds only 3 grams. A day of low intake requires 573 milligrams to be drawn out of bone. What percentage of the skeleton's store is that?
Intact skin loses 17 mL of water per square metre per hour by evaporation, and burned skin loses 16 times as much. How many extra millilitres per hour are lost from 1.146 square metres of burn?
Evaporating one gram of sweat removes 2439 joules of heat. A runner is generating 989 watts of excess heat and sweating 34 grams per minute, all of which evaporates. How many watts does evaporation remove?
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