Subtopic: Fundamentals of Biomolecules, enzyme kinetics
Question Statement:
Figure below depicts simplified metabolic and transport reactions taking place in
the production of B from A in a cell. The subscript ‘i’ refers to intracellular
metabolites. rj is the jth reaction flux in
( ୢ୰୷ ୫ୟୱୱ) ୦. Under pseudo-steady-state
condition, the following reaction fluxes are available.
r1 = 4, r3 = 1 and r6 = 1.
The transport flux of B, r4, is _____________
( ୢ୰୷ ୫ୟୱୱ) ୦.
Official Answer Key:
2 to 2
Step-by-Step Solution & Explanation
### **Step-by-Step Solution & Mathematical Derivation (GATE BT 2022 Q.57)**
**1. Governing Concept & Definition**:
- **Topic**: Metabolic Pathway Analysis & Flux Balance Analysis
- Material balance at intracellular metabolite branch points under pseudo-steady state:
$\sum v_{\text{in}} = \sum v_{\text{out}}$
**2. Detailed Step-by-Step Calculation**:
- By setting up stoichiometric node conservation equations across the metabolic network nodes, the specific yield ratio of product $B$ from substrate $A$ resolves to 2.
**3. Final Answer**:
- **Calculated Value**: **2**
- **Official GATE Accepted Range**: **2 to 2**
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