Sphingosine-1-phosphate (SPP) has recently been discovered to be important for cell survival. The synthesis of SPP form sphingosine and ATP is catalyzed by the enzyme sphingosine kinase. An understanding of the kinetics of the sphingosine kinase reaction may be important in the development of drugs to treat cancer. The velocity of the sphingosine kinase reaction was measured in the presence (5 μM) and absence of threo-sphingosine, a stereoisomer of sphingosine. The results are shown below. The sphingosine kinase used in all the reactions was 10 mg. a. b. Sphingosine (uM) 2.5 3.5 5 10 20 50 vo (mg. min-¹) (no inhibitor) 32.3 40 50.8 72 87.7 115.4 What are the KM and V MAX in the presence and absence of the inhibitor? What kind of an inhibitor is threo-sphingosine? What is the K₁ value? C. What is the Keat (turn over number)? vo (mg. min-¹) (with threo-sphingosine) 7.6 10.5 14.6 25.4 43.9 70.8

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### Enzyme Kinetics of Sphingosine Kinase

Sphingosine-1-phosphate (SPP) has recently been discovered to be important for cell survival. The synthesis of SPP from sphingosine and ATP is catalyzed by the enzyme sphingosine kinase. An understanding of the kinetics of the sphingosine kinase reaction may be important in the development of drugs to treat cancer. The velocity of the sphingosine kinase reaction was measured in the presence (5 μM) and absence of **threo-sphingosine**, a stereoisomer of sphingosine. The results are shown below. The sphingosine kinase used in all the reactions was 10 mg.

#### Kinetic Data Table:

| Sphingosine (μM) | v₀ (mg·min⁻¹) (no inhibitor) | v₀ (mg·min⁻¹) (with **threo-sphingosine**) |
|------------------|-----------------------------|-----------------------------------------|
| 2.5              | 32.3                        | 7.6                                     |
| 3.5              | 40                          | 10.5                                    |
| 5                | 50.8                        | 14.6                                    |
| 10               | 72                          | 25.4                                    |
| 20               | 87.7                        | 43.9                                    |
| 50               | 115.4                       | 70.8                                    |

#### Analytical Questions:

1. **What are the K<sub>M</sub> and V<sub>MAX</sub> in the presence and absence of the inhibitor?**
   - To determine the K<sub>M</sub> and V<sub>MAX</sub>, Michaelis-Menten plots or Lineweaver-Burk plots of the data would be used.

2. **What kind of an inhibitor is threo-sphingosine? What is the K<sub>I</sub> value?**
   - Identify whether threo-sphingosine is a competitive, noncompetitive, or uncompetitive inhibitor by analyzing the impact on K<sub>M</sub> and V<sub>MAX</sub>.
   - K<sub>I</sub> value can be calculated using inhibitor kinetics equations.

3. **What is the K<sub>cat</sub> (turn over number)?**
   - The K<
Transcribed Image Text:### Enzyme Kinetics of Sphingosine Kinase Sphingosine-1-phosphate (SPP) has recently been discovered to be important for cell survival. The synthesis of SPP from sphingosine and ATP is catalyzed by the enzyme sphingosine kinase. An understanding of the kinetics of the sphingosine kinase reaction may be important in the development of drugs to treat cancer. The velocity of the sphingosine kinase reaction was measured in the presence (5 μM) and absence of **threo-sphingosine**, a stereoisomer of sphingosine. The results are shown below. The sphingosine kinase used in all the reactions was 10 mg. #### Kinetic Data Table: | Sphingosine (μM) | v₀ (mg·min⁻¹) (no inhibitor) | v₀ (mg·min⁻¹) (with **threo-sphingosine**) | |------------------|-----------------------------|-----------------------------------------| | 2.5 | 32.3 | 7.6 | | 3.5 | 40 | 10.5 | | 5 | 50.8 | 14.6 | | 10 | 72 | 25.4 | | 20 | 87.7 | 43.9 | | 50 | 115.4 | 70.8 | #### Analytical Questions: 1. **What are the K<sub>M</sub> and V<sub>MAX</sub> in the presence and absence of the inhibitor?** - To determine the K<sub>M</sub> and V<sub>MAX</sub>, Michaelis-Menten plots or Lineweaver-Burk plots of the data would be used. 2. **What kind of an inhibitor is threo-sphingosine? What is the K<sub>I</sub> value?** - Identify whether threo-sphingosine is a competitive, noncompetitive, or uncompetitive inhibitor by analyzing the impact on K<sub>M</sub> and V<sub>MAX</sub>. - K<sub>I</sub> value can be calculated using inhibitor kinetics equations. 3. **What is the K<sub>cat</sub> (turn over number)?** - The K<
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