04-BS-13 · May 2016
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams — May 2016 — 04-BS-13, Biology. Three-hour, closed-book exam (one double-sided aid sheet permitted, approved calculator allowed). Format: Part I offers 5 questions (any 3 constitute a complete answer, 20 marks each; Q2 itself offers two alternative sub-problems) and Part II offers 3 questions (any 2 constitute a complete answer, 20 marks each) — a full paper is 5 questions. All 8 numbered questions (with both alternatives of Q2) are solved below for completeness. Q2–Q7 are calculation/derivation questions; Q1, Q6(a)(b)(d), and Q8 are essay questions.
Reference texts: Shuler & Kargi, Bioprocess Engineering: Basic Concepts (2nd ed., Prentice Hall) — elemental/electron balances, yield coefficients, fermenter mass and energy balances, growth kinetics; Madigan et al., Brock Biology of Microorganisms (15th ed., Pearson) — bacterial/viral structure, rapid methods, MPN; Toledo, Fundamentals of Food Process Engineering (3rd ed., Springer) — plant 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.
(a) Typical plant and animal cell structures. Both are eukaryotic cells sharing a plasma membrane, cytoplasm, nucleus (with nucleolus and chromatin), endoplasmic reticulum (rough and smooth), Golgi apparatus, mitochondria, ribosomes, and a cytoskeleton. The key structural differences are summarized below and shown schematically in Figure 1.
| Feature | Plant cell | Animal cell |
|---|---|---|
| Cell wall | Present (cellulose, hemicellulose, pectin, lignin) | Absent — plasma membrane only |
| Shape | Fixed, regular (rectangular/polygonal) | Irregular, flexible |
| Vacuole | Large central vacuole (turgor, storage) | Small, transient vesicles only |
| Plastids | Chloroplasts (photosynthesis), other plastids | None |
| Centrioles | Usually absent | Present (mitosis) |
| Energy storage | Starch | Glycogen |
| Intercellular connection | Plasmodesmata through the wall | Tight/gap junctions, desmosomes |
(b) Plant cell wall structure and its effect on tissue mechanical properties. The wall is a layered fibre-composite laid down outside the plasma membrane:
These wall contents govern the mechanical behaviour of plant tissue: rheological properties and elasticity come from the balance between stiff cellulose microfibrils (elastic, high modulus) and the hydrated pectin/hemicellulose matrix (viscoelastic, allows creep and stress relaxation) — the composite behaves as a viscoelastic solid, not a purely elastic one. Swelling and shrinkage are controlled mainly by the pectin matrix and cell turgor: pectin is highly hydrophilic and swells/de-swells with water content, and loss of turgor pressure (wilting, dehydration) causes visible tissue shrinkage independent of any wall damage. Rigidity is provided jointly by turgor pressure pressing the protoplast against the wall and by wall thickness/lignification; loss of turgor (flaccidity) softens tissue even with an intact wall. Tensile strength is dominated by the cellulose microfibrils (very high tensile strength along the fibril axis, like reinforcing fibres in a composite), while the matrix mainly resists compressive and shear loads — the specific microfibril winding angle in the secondary wall (steep vs. shallow) trades off tensile strength along the cell axis against wall extensibility, exactly analogous to filament winding angle in an engineered fibre-composite pressure vessel.