Here are complete answers to all clinical problems in your document:
AGMCH - Department of Physiology: All Clinical Problem Answers
PROBLEM 1 - Calculate MCV (Hematocrit = 45%, RBC = 5 million/mm³)
Formula:
MCV (fl) = [Hematocrit (%) / RBC count (millions/mm³)] × 10
Calculation:
MCV = (45 / 5) × 10 = 90 fl
Normal range: 80-100 fl → This is Normal (Normocytic)
Questions:
Q1. Red Cell Indices:
- MCV (Mean Corpuscular Volume) - size of RBC
- MCH (Mean Corpuscular Hemoglobin) - Hb content per RBC
- MCHC (Mean Corpuscular Hemoglobin Concentration) - Hb concentration per unit volume of RBC
- Colour Index (CI) - older index, now rarely used
Q2. Most Reliable Index:
MCHC is the most reliable index because:
- It is independent of RBC count and Hematocrit errors
- It has a very narrow normal range (32-38%)
- Cannot exceed 38% (physiological limit - saturation of Hb in RBC)
Q3. Use of MCV:
- Classifies anemia by cell size (normocytic, microcytic, macrocytic)
- Helps diagnose iron deficiency (low MCV), B12/folate deficiency (high MCV)
Q4. Classification of Anemia by Blood Indices:
| Type | MCV | MCH | MCHC | Cause |
|---|
| Normocytic Normochromic | Normal (80-100 fl) | Normal | Normal | Aplastic anemia, acute blood loss |
| Microcytic Hypochromic | Low (<80 fl) | Low | Low | Iron deficiency, Thalassemia |
| Macrocytic Normochromic | High (>100 fl) | High | Normal | B12/Folate deficiency, liver disease |
PROBLEM 2 - Calculate MCH (Hb = 14 g/dL, RBC = 5 million/mm³)
Formula:
MCH (pg) = [Hb (g/dL) / RBC count (millions/mm³)] × 10
Calculation:
MCH = (14 / 5) × 10 = 28 pg
Normal range: 27-33 pg → This is Normal (Normochromic)
Questions:
(Q1, Q2, Q4 same as Problem 1)
Q3. Use of Estimation of MCH:
- Indicates the average weight of Hb per RBC
- Low MCH = hypochromic anemia (iron deficiency)
- High MCH = macrocytic anemia (B12/folate deficiency)
- Less useful alone than MCHC because it doesn't account for cell size
PROBLEM 3 - Calculate MCHC (Hb = 15 g/dL, PCV = 45%)
Formula:
MCHC (%) = [Hb (g/dL) / PCV (%)] × 100
Calculation:
MCHC = (15 / 45) × 100 = 33.3%
Normal range: 32-38% → This is Normal
Questions:
(Q1, Q2, Q4 same as Problem 1)
Q3. Why MCHC cannot exceed 38%?
- Hemoglobin inside the RBC can only be dissolved up to a maximum concentration of ~38 g/dL
- Beyond this concentration, Hb would crystallize or precipitate
- This is the physiological solubility limit of hemoglobin in the RBC cytoplasm
- Therefore, MCHC >38% (hyperchromia) is considered not physiologically possible and indicates a lab error (e.g., lipemia, spherocytosis)
PROBLEM 4 - Calculate Colour Index (Hb = 16 g/dL, RBC = 6 million/mm³; Normal Hb = 15 g/dL, Normal RBC = 5 million/mm³)
Formula:
CI = (Patient Hb% / Normal Hb%) ÷ (Patient RBC% / Normal RBC%)
Patient Hb% = (16/15) × 100 = 106.7%
Patient RBC% = (6/5) × 100 = 120%
CI = (106.7 / 120) = 0.89
Normal: ~1.0 (Range: 0.85-1.15) → Normal
Questions:
Q1. (Same as Problem 1 Q1)
Q2. What is Colour Index?
CI is an older index that gives the relative concentration of Hb per RBC compared to normal.
- CI = 1 → normochromic
- CI < 0.85 → hypochromic
- CI > 1.15 → hyperchromic (e.g., macrocytic anemia)
Q3. Why CI is not an appropriate index?
- CI does not give an absolute value of Hb per RBC
- It depends on RBC count which can have up to 10% error
- It does not distinguish between microcytic hypochromic and macrocytic hyperchromic anemias accurately
- MCH and MCHC are more accurate and have replaced CI in clinical practice
Q4. Classification of Anemia:
(Same as Problem 1 Q4 - by morphology, etiology, and pathophysiology)
PROBLEM 5 - Calculate Physiological Dead Space (TV = 450 ml, Alveolar PCO₂ = 40 mmHg, Expired PCO₂ = 26 mmHg)
Formula (Bohr's equation):
VD/VT = (PaCO₂ - PECO₂) / PaCO₂
VD/VT = (40 - 26) / 40 = 14/40 = 0.35
VD = 0.35 × 450 = 157.5 ml ≈ 158 ml
Questions:
Q1. Define Dead Space:
Dead space is the volume of air in the respiratory tract that does not participate in gas exchange.
Q2. Normal Volume of Anatomical Dead Space:
- ~150 ml (approximately 2 ml/kg body weight)
- Includes nose, pharynx, larynx, trachea, bronchi, bronchioles (up to terminal bronchioles)
Q3. Physiological vs Anatomical Dead Space:
| Anatomical | Physiological |
|---|
| Definition | Airways without alveoli | All areas not participating in gas exchange |
| Includes | Conducting airways only | Anatomical dead space + alveolar dead space |
| Normal | ~150 ml | = Anatomical dead space (in healthy lungs) |
| Disease | Unchanged | Increases in lung diseases |
| Measurement | Nitrogen washout (Fowler's method) | Bohr's equation |
Q4. Factors that Increase Dead Space:
- Positive pressure ventilation
- Pulmonary embolism (alveolar dead space increases)
- Emphysema
- Upright posture (increases alveolar dead space at apex)
- Hypotension / low cardiac output
- Drugs: atropine (dilates airways)
PROBLEM 6 - Calculate Stroke Volume & Cardiac Output (Fick's Principle)
(Venous O₂ = 14.8 ml/100ml, Arterial O₂ = 19.5 ml/100ml, HR = 70/min, O₂ consumption = 245 ml/min)
Formula (Fick's):
CO = O₂ consumption / (Arterial O₂ - Venous O₂)
CO = 245 / (19.5 - 14.8) ml/100ml
CO = 245 / 4.7 × 100 ml = 245 / 0.047
CO = 5212 ml/min ≈ 5.2 L/min
SV = CO / HR = 5212 / 70 = ~74.5 ml/beat
Questions:
Q1. Stroke Volume & Cardiac Output:
- Stroke Volume (SV): Volume of blood ejected per beat. Normal = 70 ml
- Cardiac Output (CO): Volume of blood pumped per minute. CO = SV × HR. Normal = 5 L/min
Q2. Factors Affecting Cardiac Output:
- Preload (venous return/EDV) - Frank-Starling law
- Afterload (arterial resistance/BP)
- Contractility (inotropic state of heart)
- Heart Rate - direct relation
Q3. Methods of Measurement of Cardiac Output:
- Fick's principle (O₂ consumption method) - gold standard
- Thermodilution (clinical standard using Swan-Ganz catheter)
- Dye dilution (indicator dilution - Evans blue)
- Echocardiography (Doppler)
- Ballistocardiography
Q4. Cardiac Index:
CI = CO / Body Surface Area (BSA)
Normal = 2.5-4.2 L/min/m²
Used to compare individuals of different body sizes.
PROBLEM 7 - Calculate GFR (Inulin: P = 0.24 mg/ml, U = 34 mg/ml, V = 0.9 ml/min)
Formula:
GFR = (U × V) / P
GFR = (34 × 0.9) / 0.24 = 30.6 / 0.24 = 127.5 ml/min
Normal GFR: 120-125 ml/min → Normal
Questions:
Q1. GFR:
Volume of plasma filtered by glomeruli per minute. Normal = 125 ml/min (male), 115 ml/min (female).
Q2. Factors Affecting GFR:
- Glomerular hydrostatic pressure (direct)
- Bowman's capsule pressure (inverse)
- Plasma colloid osmotic pressure (inverse)
- Filtration coefficient (Kf) - permeability × surface area
- Renal blood flow/Renal plasma flow
- Sympathetic stimulation (decreases GFR)
Q3. Filtration Fraction:
FF = GFR / RPF = 125 / 625 = 0.2 (20%)
- 20% of plasma reaching glomerulus is filtered
- Normal = ~20%
Q4. Renal Clearance:
Volume of plasma completely cleared of a substance per minute.
Clearance = (U × V) / P
- Inulin clearance = GFR (125 ml/min)
- PAH clearance = Effective Renal Plasma Flow (~625 ml/min)
PROBLEM 8 - Calculate Absolute Eosinophil Count (TLC = 6000/mm³, Eosinophils = 15%)
Formula:
AEC = TLC × (Eosinophil % / 100)
AEC = 6000 × 15/100 = 900 cells/mm³
Normal AEC: 40-440 cells/mm³ → This is EOSINOPHILIA
Questions:
Q1. Clinical Significance of AEC:
- More accurate than differential count percentage
- Reflects true eosinophil count independent of total WBC
- Normal = 40-440 cells/mm³
-
500 cells/mm³ = Eosinophilia → investigate for allergies, parasites
Q2. Normal Range:
40-440 cells/mm³ (some say 40-500/mm³)
Q3. Conditions Altering Eosinophil Count:
Eosinophilia (increase):
- Allergic disorders (asthma, hay fever, urticaria)
- Parasitic infections (especially tissue-invading: Ascaris, Filaria)
- Skin diseases (eczema, pemphigus)
- Drug reactions
- Addison's disease
- Tropical eosinophilia
Eosinopenia (decrease):
- Cushing's syndrome (excess cortisol)
- Typhoid fever (Widal's law)
- Acute bacterial infections
- Stress
Q4. Functions of Eosinophils:
- Kill parasites (Major Basic Protein, Eosinophil cationic protein)
- Modulate allergic reactions (inactivate histamine, degradate leukotrienes)
- Phagocytosis of antigen-antibody complexes
- Limit inflammatory response
PROBLEM 9 - Calculate Dyspnoeic Index (Resting ventilation = 6 L/min, MVV = 100 L/min)
Formula:
Dyspnoeic Index = (Resting pulmonary ventilation / MVV) × 100
DI = (6/100) × 100 = 6%
Normal: <30% → Normal (No dyspnoea)
Questions:
Q1. Dyspnoeic Index:
Ratio of resting pulmonary ventilation to MVV expressed as percentage.
DI = (Resting ventilation / MVV) × 100
- Normal <30%; >75% = severe dyspnoea; >40% = dyspnoea on mild exertion
Q2. Maximum Voluntary Ventilation (MVV):
Maximum volume of air that can be breathed in and out per minute voluntarily.
- Normal = 150-170 L/min (males); 80-120 L/min (females)
- Reflects airway patency and respiratory muscle strength
Q3. Dyspnoea:
Subjective sensation of breathlessness or difficulty in breathing that is disproportionate to the level of physical activity.
Q4. Examples of Obstructive vs Restrictive Disorders:
| Obstructive | Restrictive |
|---|
| Asthma | Pulmonary fibrosis |
| COPD / Emphysema | Sarcoidosis |
| Chronic bronchitis | Pneumoconiosis |
| Bronchiectasis | Kyphoscoliosis |
| FEV1/FVC < 70% | FEV1/FVC normal, TLC reduced |
PROBLEM 10 - Calculate RV and FRC (IRV = 3L, ERV = 1.8L, TV = 0.5L, TLC = 6L)
Step 1 - Calculate VC:
VC = IRV + TV + ERV = 3 + 0.5 + 1.8 = 5.3 L
Step 2 - Calculate RV:
RV = TLC - VC = 6 - 5.3 = 0.7 L
Step 3 - Calculate FRC:
FRC = ERV + RV = 1.8 + 0.7 = 2.5 L
Questions:
Q1. Residual Volume (RV):
Volume of air remaining in the lungs after maximum forced expiration. Normal = 1.2 L.
Q2. Functional Residual Capacity (FRC):
Volume of air remaining in the lungs at end of normal quiet expiration. FRC = ERV + RV. Normal = 2.2 L.
Q3. Importance of RV:
- Prevents complete collapse of alveoli between breaths
- Maintains continuous gas exchange during expiration
- Keeps alveoli moist
- Stabilizes alveolar gas composition preventing wide swings in O₂ and CO₂
Q4. How to Estimate RV and FRC:
- Nitrogen washout method (Fowler's method)
- Helium dilution method (closed circuit)
- Body plethysmography (most accurate, measures trapped gas too)
- Radiological method (chest X-ray + calculation)
- Note: RV and FRC cannot be measured by simple spirometry
PROBLEM 11 - Calculate Net Effective Filtration Pressure
(Glomerular HP = 60 mmHg, Bowman's capsule HP = 15 mmHg, Plasma OP = 30 mmHg, Filtrate OP = 0 mmHg)
Formula:
Net EFP = (Glomerular HP - Bowman's HP) - (Plasma OP - Filtrate OP)
Net EFP = (60 - 15) - (30 - 0)
Net EFP = 45 - 30 = +15 mmHg
(Positive value = filtration occurs)
Questions:
Q1. GFR: (Same as Problem 7 Q1)
Q2. Ultrafiltration:
Process of filtration of blood through the glomerular capillary membrane under hydrostatic pressure. The filtrate has same composition as plasma but is protein-free. Driven by net EFP.
Q3. Factors Affecting GFR: (Same as Problem 7 Q2)
Q4. Functions of Podocytes:
- Form the filtration slits (slit diaphragm) - main barrier to protein passage
- Provide structural support to glomerular capillary loops
- Synthesize glomerular basement membrane components
- Regulate Kf (filtration coefficient)
- Loss of podocytes = proteinuria (as in nephrotic syndrome)
PROBLEM 12 - Calculate Lung Compliance (ΔV = 1L, ΔP = 5 cmH₂O)
Formula:
Compliance = ΔV / ΔP = 1000 ml / 5 cmH₂O = 200 ml/cmH₂O
Normal: ~200 ml/cmH₂O → Normal
Questions:
Q1. Lung Compliance:
Change in lung volume per unit change in pressure.
C = ΔV/ΔP. Normal = 200 ml/cmH₂O (0.2 L/cmH₂O)
It is the ease with which lungs can be expanded.
Q2. Conditions where lungs are MORE compliant:
- Emphysema (destruction of elastic tissue)
- Old age
- Surfactant present (normal condition)
- Lungs at mid-range volume
Q3. Types of Lung Compliance:
- Static compliance: Measured at no airflow (equilibrium)
- Dynamic compliance: Measured during breathing; affected by airway resistance
- Specific compliance: Compliance corrected for lung volume (C/FRC)
Q4. Factors Influencing Lung Compliance:
- Elastic tissue: Elastin fibres reduce compliance when stretched
- Surface tension: Main determinant; reduced by surfactant (increases compliance)
- Lung volume: Low compliance at extremes of volume
- Pulmonary blood volume: Increased blood = decreased compliance
- Disease: Fibrosis, edema (decrease); Emphysema (increase)
PROBLEM 13 - Calculate Cardiac Output by Fick's Principle
(Pulmonary artery O₂ = 14 ml/dL, Brachial artery O₂ = 19 ml/dL, O₂ consumption = 250 ml/min)
Formula:
CO = O₂ consumption / A-V O₂ difference
CO = 250 / (19 - 14) ml/dL
CO = 250 / 5 × 100
CO = 5000 ml/min = 5 L/min
Questions:
Q1. Fick's Principle:
The amount of a substance taken up or released by an organ per unit time equals the blood flow to that organ multiplied by the arterio-venous difference of the substance.
CO = O₂ consumed / (AO₂ - VO₂)
Q2. Cardiac Output: (Normal = 5 L/min as above)
Q3. Factors Affecting Cardiac Output: (Same as Problem 6 Q2)
Q4. Stroke Volume:
SV = CO / HR. Normal = 70 ml/beat. Range = 60-90 ml/beat.
PROBLEM 14 - Calculate TmG
(Plasma glucose = 300 mg/dL, GFR = 100 ml/min, Urine glucose = 10 mg/ml, Urine flow = 1 ml/min)
Step 1 - Filtered glucose:
Filtered load = Plasma conc × GFR = (300/100 mg/ml) × 100 = 3 mg/ml × 100 = 300 mg/min
Step 2 - Excreted glucose:
Excreted = U × V = 10 × 1 = 10 mg/min
Step 3 - TmG (reabsorbed):
TmG = Filtered - Excreted = 300 - 10 = 290 mg/min
Normal TmG: 320-375 mg/min → Slightly below normal range
Questions:
Q1. TmG (Tubular Maximum for Glucose):
Maximum rate at which the proximal tubule can reabsorb glucose per minute. Normal = 320-375 mg/min (males); 300-350 mg/min (females).
Q2. Significance in Diabetes Mellitus:
- In DM, plasma glucose is high (e.g., 300+ mg/dL)
- Filtered load exceeds TmG → excess glucose appears in urine (glucosuria)
- Renal threshold for glucose = ~180 mg/dL (point where glucosuria starts)
- Helps assess severity and monitor treatment of DM
Q3. Renal Threshold Splay:
- Ideally, glycosuria should start sharply at one plasma glucose level (renal threshold)
- In reality, there is a gradual, rounded transition called "splay"
- Splay occurs because not all nephrons have identical transport capacities
- Some nephrons reach TmG earlier, some later → gradual rise in urine glucose
Q4. Renal Threshold vs Tubular Maximum:
| Renal Threshold | Tubular Maximum |
|---|
| Definition | Plasma conc at which substance first appears in urine | Max rate of tubular reabsorption |
| For glucose | ~180 mg/dL | ~320-375 mg/min |
| Type of measure | Concentration | Rate |
PROBLEM 15 - Calculate Respiratory Quotient
(Expired air volume = 30 L in 6 min, CO₂ in expired air = 4.2%, O₂ consumed = 1470 ml in 6 min)
Step 1 - CO₂ produced in 6 min:
CO₂ = 30,000 ml × 4.2/100 = 1260 ml
Step 2 - RQ:
RQ = CO₂ produced / O₂ consumed = 1260 / 1470 = 0.857 ≈ 0.86
Questions:
Q1. Respiratory Quotient:
Ratio of volume of CO₂ produced to volume of O₂ consumed per unit time.
RQ = VCO₂ / VO₂
Q2. RQ of Different Nutrients:
| Nutrient | RQ |
|---|
| Carbohydrates | 1.0 |
| Fats | 0.7 |
| Proteins | 0.8 |
| Mixed diet (at rest) | 0.85 |
Q3. RQ at Rest:
Normally 0.85 (mixed diet of carbohydrates, fats, proteins)
Q4. Uses of RQ:
- Identify substrate being metabolized (carbohydrate, fat, protein)
- Monitor nutritional status and metabolic state
- Assess response to exercise
- RQ >1.0 = lipogenesis (excess carbohydrate intake)
- RQ <0.7 = ketosis or starvation (fat breakdown + ketone production)
- Used in calculating Basal Metabolic Rate (BMR)
PROBLEM 16 - Calculate PAH Clearance (P = 0.02 mg/ml, U = 14 mg/ml, V = 0.9 ml/min)
Formula:
Clearance = (U × V) / P = (14 × 0.9) / 0.02 = 12.6 / 0.02 = 630 ml/min
Normal ERPF (PAH clearance): ~625 ml/min → Normal (= Effective Renal Plasma Flow)
Questions:
Q1. Plasma Clearance:
Volume of plasma completely cleared of a given substance per minute.
Clearance = (U × V) / P (in ml/min)
Q2. Plasma Clearance Tests:
- Inulin clearance → measures GFR (125 ml/min)
- PAH clearance → measures ERPF (~625 ml/min)
- Creatinine clearance → estimates GFR clinically
- Urea clearance → estimates GFR (less accurate)
- Diodrast clearance → measures ERPF
Q3. Significance of PAH Clearance:
- Measures Effective Renal Plasma Flow (ERPF) ~625 ml/min
- PAH is filtered AND completely secreted by proximal tubule → entire plasma reaching peritubular capillaries is cleared of PAH
- ERPF = PAH clearance
- Renal Blood Flow = ERPF / (1 - Hematocrit) = 625 / 0.55 ≈ 1125 ml/min
PROBLEM 17 - Calculate Urea Clearance (P = 20 mg/100ml, U = 10 mg/ml, V = 1.2 ml/min)
Convert plasma concentration:
P = 20 mg/100 ml = 0.2 mg/ml
Formula:
Clearance = (U × V) / P = (10 × 1.2) / 0.2 = 12 / 0.2 = 60 ml/min
Normal urea clearance: 40-65 ml/min (standard); 60-75 ml/min (maximum) → Normal
Questions:
Q1 & Q2: (Same as Problem 16)
Q3. Significance of Urea Clearance:
- Estimates GFR but LESS accurate than inulin because:
- Urea is partially reabsorbed by tubules (40-50%)
- Reabsorption varies with urine flow rate
- "Standard clearance" (Vm <2 ml/min): Normal = 40-65 ml/min
- "Maximum clearance" (Vm >2 ml/min): Normal = 60-75 ml/min
- Urea clearance test - a clinical test to assess renal function when inulin is unavailable
PROBLEM 18 - Calculate Inulin Clearance (P = 35 mg/100ml, U = 25 mg/ml, V = 1.4 ml/min)
Convert plasma concentration:
P = 35 mg/100 ml = 0.35 mg/ml
Formula:
Clearance = (U × V) / P = (25 × 1.4) / 0.35 = 35 / 0.35 = 100 ml/min
(Slightly below normal of 125 ml/min - possible reduced GFR)
Questions:
Q1 & Q2: (Same as Problem 16)
Q3. Substances Used to Measure GFR:
A substance must be:
- Freely filtered (not bound to plasma proteins)
- Neither secreted nor reabsorbed
- Non-toxic
| Substance | Type |
|---|
| Inulin | Gold standard (exogenous) |
| Creatinine | Endogenous (slight secretion by tubule - overestimates GFR) |
| Cystatin C | Endogenous, highly accurate |
| Radioisotopes | ⁵¹Cr-EDTA, ⁹⁹Tc-DTPA |
| Iohexol | Exogenous (X-ray contrast) |
PROBLEM 19 - Calculate CO and SV (Arterial O₂ = 19 ml/100ml, Venous O₂ = 14 ml/100ml, O₂ consumption = 270 ml/min, HR = 70/min)
CO:
CO = 270 / (19-14) ml/100ml = 270 / 0.05 = 5400 ml/min = 5.4 L/min
SV:
SV = CO / HR = 5400 / 70 = 77 ml/beat
Questions:
Q1. SV, CO, CI:
- SV: Volume ejected per beat. Normal = 70 ml
- CO: Volume per minute. CO = SV × HR. Normal = 5 L/min
- CI: CO/BSA. Normal = 2.5-4.2 L/min/m²
Q2. Significance of CI:
- Normalizes CO for body surface area → allows comparison between individuals
- More useful than CO alone in critically ill patients
- CI < 2.2 L/min/m² = cardiogenic shock
- Used to guide fluid therapy and vasopressor use in ICU
Q3. Methods of Estimation of CO:
- Fick's principle (O₂ method)
- Indicator dilution (dye: Evans blue, Indocyanine green)
- Thermodilution (clinical gold standard - cold saline via Swan-Ganz catheter)
- Echocardiography (Doppler)
- Impedance cardiography
- Radionuclide ventriculography
PROBLEM 20 - Calculate Total Body Water
(D₂O injected = 100 ml, D₂O excreted in 1 hr = 4 ml, Plasma D₂O concentration = 0.002 ml/ml)
Formula (dilution principle):
TBW = (Amount injected - Amount excreted) / Concentration at equilibrium
TBW = (100 - 4) / 0.002 = 96 / 0.002 = 48,000 ml = 48 L
(Normal: ~60% of body weight; for 70 kg person = 42 L)
Questions:
Q1. How is TBW divided?
| Compartment | % TBW | Volume (70 kg) |
|---|
| Intracellular fluid (ICF) | 67% (40% BW) | 28 L |
| Extracellular fluid (ECF) | 33% (20% BW) | 14 L |
| - Interstitial fluid | 25% BW | 10.5 L |
| - Plasma | 5% BW | 3.5 L |
| - Transcellular | <1% BW | ~1 L |
Q2. Methods to Estimate TBW:
- Dilution principle - inject marker and measure its final concentration
- D₂O (deuterium oxide) / THO (tritiated water) → TBW
- Inulin, mannitol → ECF
- Evans blue, radioisotope albumin → Plasma volume
- ICF = TBW - ECF
Q3. Effects of Hypovolemia:
- Decreased venous return → decreased CO → decreased BP
- Tachycardia (sympathetic reflex)
- Vasoconstriction (peripheral)
- Oliguria / anuria (reduced renal perfusion)
- Increased ADH secretion, increased aldosterone (RAAS)
- Thirst
- Severe: organ failure, shock, death
PROBLEM 21 - Calculate Alveolar Ventilation (TV = 500 ml, Dead space = 150 ml, RR = 12/min)
Formula:
Alveolar Ventilation = (TV - Dead space) × RR
AV = (500 - 150) × 12 = 350 × 12 = 4200 ml/min = 4.2 L/min
Questions:
Q1. V/Q Ratio:
Ratio of alveolar ventilation (V) to pulmonary blood flow (Q) in a given area of lung.
V/Q = Alveolar ventilation / Pulmonary blood flow
Q2. Normal V/Q Ratio:
- Overall V/Q = 4.2 / 5.0 = 0.84
- Apex of lung: V/Q > 1 (relatively over-ventilated, under-perfused) = ~3.3
- Base of lung: V/Q < 1 (relatively under-ventilated, over-perfused) = ~0.6
- Best matching at mid-lung level
Q3. Uses of Dead Space:
(Functions of having anatomical dead space)
- Acts as a buffer - prevents large swings in alveolar gas composition
- Warms and humidifies inspired air
- Filters particles and pathogens
- Voice production (larynx)
- Physiological dead space measurement helps assess V/Q mismatch in disease
PROBLEM 22 - Calculate Dead Space (N₂ washout method: Area with N₂ = 70 cm², Area without N₂ = 30 cm², Volume of air = 500 ml)
Formula (Fowler's Method):
Dead space = (Area without N₂ / Total area) × Tidal volume
DS = (30 / 100) × 500 = 150 ml
Normal = 150 ml → Normal anatomical dead space
Questions:
Q1. Definitions:
- Dyspnoea: Subjective sensation of difficulty or labored breathing
- Apnoea: Cessation of breathing
- Eupnoea: Normal, quiet, effortless breathing (12-18/min)
Q2:
- Tachypnoea: Increased respiratory rate (>20/min); rate increased, depth normal
- Bradypnoea: Decreased respiratory rate (<12/min)
Q3. Paroxysmal Nocturnal Dyspnoea (PND):
- Sudden onset of severe breathlessness at night, waking the patient from sleep
- Usually occurs 1-2 hours after lying down
- Cause: fluid redistribution from dependent parts to lungs in supine position → pulmonary edema
- Classic sign of Left Ventricular Failure (LHF)
- Relieved by sitting upright or getting up to open a window
PROBLEM 23 - Calculate Filtration Fraction (GFR = 120 ml/min, RPF = 625 ml/min)
Formula:
FF = GFR / RPF = 120 / 625 = 0.192 ≈ 0.2 (20%)
Normal FF = 0.2 (20%) → Normal
Questions:
Q1. GFR: (As defined above - Normal = 125 ml/min)
Q2. Factors Affecting GFR: (See Problem 7 Q2)
Q3. Filtration Fraction:
FF = GFR / RPF = 125/625 = 0.2 or 20%
Means 20% of plasma entering glomerulus is filtered.
- Increased FF: In hypovolemia, heart failure (efferent vasoconstriction increases)
- Decreased FF: Renal artery stenosis, hypotension
Q4. Renal Clearance: (See Problem 7 Q4)
PROBLEM 24 - Calculate MCV (RBC = 4.5 million/mm³, PCV = 40%, Hb = 14 g/dL)
Formula:
MCV = (PCV / RBC) × 10 = (40 / 4.5) × 10 = 88.9 fl ≈ 89 fl
Normal (80-100 fl) → Normocytic
(MCH can also be calculated: MCH = (14/4.5) × 10 = 31 pg - Normal)
(Questions same as Problem 1)
PROBLEM 25 - Calculate MCH (Hb = 14.5 g/dL, RBC = 4.8 million/mm³, PCV = 42%)
Formula:
MCH = (Hb / RBC) × 10 = (14.5 / 4.8) × 10 = 30.2 pg
Normal (27-33 pg) → Normochromic
(MCHC = (14.5/42) × 100 = 34.5% - also Normal)
(Questions same as Problem 2)
PROBLEM 26 - Physiological Dead Space (same as Problem 5)
(TV = 450 ml, Alveolar PCO₂ = 40 mmHg, Expired PCO₂ = 26 mmHg)
VD = [(40-26)/40] × 450 = 0.35 × 450 = 157.5 ml
(Same calculation and answers as Problem 5)
PROBLEM 27 - Breathing Reserve and Dyspnoeic Index
(RR = 12/min, TV = 500 ml, MVV = 130 L)
Resting Pulmonary Ventilation:
RPV = TV × RR = 500 × 12 = 6000 ml/min = 6 L/min
Breathing Reserve:
BR = MVV - RPV = 130 - 6 = 124 L/min
Dyspnoeic Index:
DI = (RPV / MVV) × 100 = (6/130) × 100 = 4.6%
Normal DI: <30% → Normal (excellent breathing reserve)
(Questions same as Problem 9)
PROBLEM 28 - Calculate CO by Fick's Principle
(O₂ consumption = 270 ml/min, Arterial O₂ = 190 ml/L, Venous O₂ = 140 ml/L)
Formula:
CO = O₂ consumption / (AO₂ - VO₂)
CO = 270 / (190 - 140) ml/L
CO = 270 / 50 = 5.4 L/min
(Questions same as Problem 13)
PROBLEM 29 - Calculate Cardiac Index (CO = 5.20 L/min, BSA = 1.65 m²)
Formula:
CI = CO / BSA = 5.20 / 1.65 = 3.15 L/min/m²
Normal CI: 2.5-4.2 L/min/m² → Normal
(Questions same as Problem 19)
Summary Formula Sheet:
| Parameter | Formula | Normal |
|---|
| MCV | (PCV% / RBC millions) × 10 | 80-100 fl |
| MCH | (Hb g/dL / RBC millions) × 10 | 27-33 pg |
| MCHC | (Hb g/dL / PCV%) × 100 | 32-38% |
| GFR / Clearance | (U × V) / P | 125 ml/min |
| FF | GFR / RPF | 0.2 (20%) |
| Net EFP | (GHP - BHP) - (POP - FOP) | ~15 mmHg |
| CO (Fick's) | O₂ consumed / A-VO₂ diff | 5 L/min |
| CI | CO / BSA | 2.5-4.2 L/min/m² |
| Dead space (Bohr) | [(PaCO₂ - PECO₂) / PaCO₂] × VT | ~150 ml |
| Dyspnoeic Index | (Resting vent / MVV) × 100 | <30% |
| RQ | VCO₂ / VO₂ | 0.85 (rest) |
| Compliance | ΔV / ΔP | 200 ml/cmH₂O |
| AEC | TLC × Eosinophil% / 100 | 40-440/mm³ |
| Alveolar Vent. | (TV - DS) × RR | ~4.2 L/min |
| TmG | Filtered load - Excreted | 320-375 mg/min |
| TBW | (Injected - Excreted) / Conc | ~42 L (60% BW) |