04-BS-13 · December 2015
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams — December 2015 — 04-BS-13, Biology. Three-hour, closed-book exam (one double-sided aid sheet permitted, approved Casio/Sharp calculator allowed). Format: Part I offers 6 questions (any 3 constitute a complete answer, 20 marks each) and Part II offers 4 questions (any 2 constitute a complete answer, 20 marks each) — a full paper is 5 questions. All 10 are solved below for completeness. Q1–Q4, Q7, and Q8 are calculation questions; Q5, Q9, and Q10 are essay questions; Q6 is a derivation.
Reference texts: Shuler & Kargi, Bioprocess Engineering: Basic Concepts (2nd ed., Prentice Hall) — elemental/electron balances, yield coefficients, fermenter mass balances, growth kinetics; Madigan et al., Brock Biology of Microorganisms (15th ed., Pearson) — bacterial classification, fungal reproduction, plasmid biology; Toledo, Fundamentals of Food Process Engineering (3rd ed., Springer) — plant/animal tissue structure and mechanical properties.
Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.
Both plant and animal food tissues get their bulk mechanical behaviour — elasticity, tensile strength, and rigidity — from a common engineering strategy: a strong, largely inextensible fibrous polymer network embedded in a softer, hydrated gel-like matrix, i.e. a natural fibre-reinforced composite. The identity of the fibre and the matrix differs between plants and animals, but the structure–property logic is the same.
Plant cell wall structure and its mechanical consequences. The primary cell wall consists of crystalline cellulose microfibrils (long, high-tensile-strength glucan chains, analogous to steel rebar or glass fibre in a composite) cross-linked by hemicellulose and embedded in a hydrated pectin matrix (the compliant, load-spreading "resin" phase). Adjacent cells are cemented together by the pectin-rich middle lamella. In many tissues a rigid secondary wall, stiffened by lignin deposition, is added once the cell stops expanding — lignin acts like a hardening resin, converting a pliable wall into a rigid, compression-resistant one. Superimposed on the wall itself is turgor pressure: the semi-permeable plasma membrane maintains a hydrostatic pressure difference across the wall (analogous to a pressurized vessel or an inflated tyre), and it is this internal pressure — reacted by the wall's tensile hoop strength — that gives fresh plant tissue most of its crispness and rigidity, not the wall alone.
Examples (plant). A fresh apple or potato is firm mainly because turgid parenchyma cells press outward against strong, well-cross-linked primary walls; loss of water (wilting) or pectinase-driven breakdown of the middle lamella during ripening (e.g. banana, tomato) collapses this pressure and cell–cell cohesion, producing the familiar softening. Celery's stringy, fibrous texture comes from lignified vascular/collenchyma bundles running the length of the stalk, which carry tensile load axially much like reinforcing rods. Woody stems owe their rigidity to extensive secondary-wall lignification, which locks the cellulose network in place and resists both bending and compression.
Animal tissue — the extracellular matrix (ECM). Animal cells have no rigid wall at all; the plasma membrane and internal cytoskeleton give an individual cell its shape, but the mechanical properties of animal tissue come almost entirely from the extracellular matrix surrounding the cells. Collagen fibrils (a triple-helical structural protein) provide the high-tensile-strength fibre phase, directly analogous to cellulose microfibrils; elastin fibres, which can stretch and recoil like a rubber band, provide reversible extensibility that plant walls generally lack; and both are embedded in a proteoglycan/glycosaminoglycan gel that resists compression and cushions the fibre network, analogous to the pectin matrix in plants.
Examples (animal). Meat toughness correlates strongly with connective-tissue (collagen) content and cross-link density — older animals and more heavily-used muscles (e.g. beef shank) have more, and more cross-linked, collagen than tender cuts (e.g. tenderloin), which is why moist, prolonged cooking (which hydrolyses collagen to gelatin above roughly 60–70°C) is needed to tenderize the former. Skin and tendon combine collagen (strength, limits over-extension) with elastin (elastic recoil) in different proportions to suit their very different mechanical roles — tendon is collagen-dominated for high tensile stiffness, while skin carries more elastin for stretch-and-recoil.