A Compartment Pharmacokinetics Model of THC and Its Metabolites after Smoking †
<p>A compartment pharmacokinetics model of THC and its metabolites after smoking cannabis. <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mn>1</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>: concentration of THC in the central compartment. <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mn>2</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>: concentration of THC in the rapidly equilibrating tissue compartment. <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mn>3</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>: concentration of THC in the slowly equilibrating tissue compartment. <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mrow> <mrow> <mi mathvariant="normal">e</mi> <mn>1</mn> </mrow> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>: concentration of THC in the effect compartment. <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mn>4</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>: concentration of THC-OH in the central compartment. <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mn>5</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>: concentration of THC-OH in the rapidly equilibrating tissue compartment. <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mn>6</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>: concentration of THC-OH in the slowly equilibrating tissue compartment. <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mrow> <mrow> <mi mathvariant="normal">e</mi> <mn>2</mn> </mrow> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>: concentration of THC-OH in the effect compartment. <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mn>7</mn> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>: concentration of THCCOOH in the central compartment. <math display="inline"><semantics> <mrow> <msub> <mi>k</mi> <mrow> <mn>12</mn> </mrow> </msub> <mo>,</mo> <mo> </mo> <msub> <mi>k</mi> <mrow> <mn>21</mn> </mrow> </msub> <mo>,</mo> <mo> </mo> <msub> <mi>k</mi> <mrow> <mn>13</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>k</mi> <mrow> <mn>31</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>k</mi> <mrow> <mn>14</mn> </mrow> </msub> <mo>,</mo> <mo> </mo> <msub> <mi>k</mi> <mrow> <mn>17</mn> </mrow> </msub> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>k</mi> <mrow> <mrow> <mn>1</mn> <mi mathvariant="normal">e</mi> </mrow> </mrow> </msub> </mrow> </semantics></math>: distribution rate constants of THC in each compartment. <math display="inline"><semantics> <mrow> <msub> <mi>k</mi> <mrow> <mn>45</mn> </mrow> </msub> <mo>,</mo> <mo> </mo> <msub> <mi>k</mi> <mrow> <mn>54</mn> </mrow> </msub> <mo>,</mo> <mo> </mo> <msub> <mi>k</mi> <mrow> <mn>46</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>k</mi> <mrow> <mn>64</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>k</mi> <mrow> <mn>47</mn> </mrow> </msub> </mrow> </semantics></math>, and: distribution rate constants of THC-OH in each compartment. <math display="inline"><semantics> <mrow> <msub> <mi>k</mi> <mrow> <mn>40</mn> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mo> </mo> <msub> <mi>k</mi> <mrow> <mn>70</mn> </mrow> </msub> </mrow> </semantics></math>: elimination rate constants of THC-OH and THCCOOH from the central compartment. <math display="inline"><semantics> <mrow> <msub> <mi>k</mi> <mrow> <mrow> <mi mathvariant="normal">e</mi> <mn>10</mn> </mrow> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>k</mi> <mrow> <mrow> <mi mathvariant="normal">e</mi> <mn>20</mn> </mrow> </mrow> </msub> </mrow> </semantics></math>: elimination rate constants of THC and THC-OH from the effect compartment.</p> "> Figure 2
<p>Graph of actual and simulated THC concentration in plasma after smoking cigarettes that contain 150 µg THC/kg body weight.</p> "> Figure 3
<p>Graph of simulated THC concentration after smoking cigarettes which contain 150 µg THC/kg body weight in each compartment.</p> "> Figure 4
<p>Graph of actual and simulated THC-OH concentration in plasma after smoking cigarettes that contain 150 µg THC/kg body weight.</p> "> Figure 5
<p>Graph of simulated THC-OH and THCCOOH concentration after smoking cigarettes that contain 150 µg THC/kg body weight.</p> ">
Abstract
:1. Introduction
2. Methods
2.1. Compartmental Model
2.2. Data
3. Results
3.1. Exact Solutions
3.2. Simulation Results
3.2.1. THC Concentration
3.2.2. THC-OH and THCCOOH Concentration
4. Discussion and Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Time after Smoking (min) | THC Concentration (ng/mL) | THC-OH Concentration (ng/mL) | THCCOOH Concentration (ng/mL) |
---|---|---|---|
5 | 85.08 | 5.89 | 6.98 |
10 | 78.43 | 18.74 | 11.40 |
20 | 57.83 | 18.94 | 18.25 |
30 | 41.40 | 18.54 | 28.69 |
50 | 27.29 | 12.73 | 35.60 |
65 | 16.97 | 9.58 | 24.49 |
120 | 9.76 | 6.65 | 15.14 |
180 | 4.96 | 3.33 | 12.48 |
240 | 3.66 | 2.76 | 7.23 |
300 | 2.22 | 1.85 | 4.10 |
Parameters | Values | Parameters | Values |
---|---|---|---|
85.08 ng/mL | 0.0174 min−1 | ||
0.0091 min−1 | 0.0000 min−1 | ||
0.0067 min−1 | 0.0657 min−1 | ||
0.0010 min−1 | −0.0039 min−1 | ||
0.0003 min−1 | −0.0306 min−1 |
Time after Smoking (min) | Actual THC Concentration (ng/mL) | Simulated THC Concentration (ng/mL) |
---|---|---|
5 | 85.08 | 85.05 |
10 | 78.43 | 74.12 |
20 | 57.83 | 56.57 |
30 | 41.40 | 43.58 |
50 | 27.29 | 26.76 |
65 | 16.97 | 19.26 |
120 | 9.76 | 8.01 |
180 | 4.96 | 4.91 |
240 | 3.66 | 3.67 |
300 | 2.22 | 2.87 |
Parameters | Values | Parameters | Values |
---|---|---|---|
0.0144 min−1 | 0.0048 min−1 | ||
0.0013 min−1 | 0.0028 min−1 | ||
0.0112 min−1 | 0.0010 min−1 | ||
0.0009 min−1 | −0.0092 min−1 | ||
0.0004 min−1 | −0.0237 min−1 |
Time after Smoking (min) |
Actual THC-OH (ng/mL) |
Simulated THC-OH (ng/mL) |
Actual THCCOOH (ng/mL) |
Simulated THCCOOH (ng/mL) |
---|---|---|---|---|
5 | 5.89 | 7.02 | 6.98 | 11.95 |
10 | 18.74 | 11.60 | 11.40 | 19.76 |
20 | 18.94 | 16.00 | 18.25 | 27.24 |
30 | 18.54 | 16.77 | 28.69 | 28.56 |
50 | 12.73 | 14.32 | 35.60 | 24.38 |
65 | 9.58 | 11.83 | 24.49 | 20.13 |
120 | 6.65 | 6.15 | 15.14 | 10.48 |
180 | 3.33 | 4.09 | 12.48 | 6.96 |
240 | 2.76 | 3.15 | 7.23 | 5.36 |
300 | 1.85 | 2.50 | 4.10 | 4.26 |
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Mahahong, T.; Saleewong, T. A Compartment Pharmacokinetics Model of THC and Its Metabolites after Smoking. Eng. Proc. 2023, 55, 4. https://doi.org/10.3390/engproc2023055004
Mahahong T, Saleewong T. A Compartment Pharmacokinetics Model of THC and Its Metabolites after Smoking. Engineering Proceedings. 2023; 55(1):4. https://doi.org/10.3390/engproc2023055004
Chicago/Turabian StyleMahahong, Thanachok, and Teerapol Saleewong. 2023. "A Compartment Pharmacokinetics Model of THC and Its Metabolites after Smoking" Engineering Proceedings 55, no. 1: 4. https://doi.org/10.3390/engproc2023055004
APA StyleMahahong, T., & Saleewong, T. (2023). A Compartment Pharmacokinetics Model of THC and Its Metabolites after Smoking. Engineering Proceedings, 55(1), 4. https://doi.org/10.3390/engproc2023055004