Pharmacokinetic Consideration to Formulate Sustained Release Drugs: Understanding the Controlled Drug Diffusion through the Body Compartment of the Systemic Circulation and Tissue Medium-A Caputo Model
The aim of this study is to provide an overview of various models to study drug diffusion for a sustained period into and within the human body. Emphasized the mathematical compartment models using fractional derivative (Caputo model) approach to investigate the change in sustained drug concentrati...
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2023-03-01
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| Series: | Baghdad Science Journal |
| Subjects: | |
| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8395 |
| _version_ | 1811162261671116800 |
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| author | Ramanamoorthy Kandula Rupali S. Jain Sandhya Kandula Surendranath Reddy B. |
| author_facet | Ramanamoorthy Kandula Rupali S. Jain Sandhya Kandula Surendranath Reddy B. |
| author_sort | Ramanamoorthy Kandula |
| collection | DOAJ |
| description |
The aim of this study is to provide an overview of various models to study drug diffusion for a sustained period into and within the human body. Emphasized the mathematical compartment models using fractional derivative (Caputo model) approach to investigate the change in sustained drug concentration in different compartments of the human body system through the oral route or the intravenous route. Law of mass action, first-order kinetics, and Fick's perfusion principle were used to develop mathematical compartment models representing sustained drug diffusion throughout the human body. To adequately predict the sustained drug diffusion into various compartments of the human body, consider fractional derivative (Caputo model) to investigate the rate of concentration changing depending upon the change in the order of fractional differentiation in all the possible compartments of the body, i.e., systemic circulation and tissue compartments. Also, assigned a numerical parameter value to the rate of drug flow in different compartments to estimate the drug concentration. Results were calculated and figures were depicted by using MATLAB software (version R2020a). Illustrated graphical effects of change in concentration rate by assuming various intermediate values according to the fractional derivative (Caputo model). The resultant graphical representation concludes that considering the order of the differential equation values, the drug concentration varies depending upon its rate of constants in compartments concerning time. Considering the initial case for rough estimation where the body is indicated as a whole compartment, following division of the body into two model compartments. Whereas, the model I represents stomach, liver, and systemic blood, and model II consider arterial blood, liver tissue, and venous blood.
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| first_indexed | 2024-04-10T06:27:07Z |
| format | Article |
| id | doaj.art-3a589510afb24df785411726b5303f6a |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-04-10T06:27:07Z |
| publishDate | 2023-03-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-3a589510afb24df785411726b5303f6a2023-03-01T19:37:00ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862023-03-01201(SI)10.21123/bsj.2023.8395Pharmacokinetic Consideration to Formulate Sustained Release Drugs: Understanding the Controlled Drug Diffusion through the Body Compartment of the Systemic Circulation and Tissue Medium-A Caputo ModelRamanamoorthy Kandula0Rupali S. Jain1Sandhya Kandula2Surendranath Reddy B.3Department of Mathematics, B V Raju Institute of Technology, Narsapur, Medak Dist. Telangana-502313, India & School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded, Maharashtra-431606, India.School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded, Maharashtra-431606, India.Department of Pharmacology, Vishnu Institute of Pharmaceutical Education and Research, Narsapur, Medak Dist. Telangana-502313, India.School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded, Maharashtra-431606, India The aim of this study is to provide an overview of various models to study drug diffusion for a sustained period into and within the human body. Emphasized the mathematical compartment models using fractional derivative (Caputo model) approach to investigate the change in sustained drug concentration in different compartments of the human body system through the oral route or the intravenous route. Law of mass action, first-order kinetics, and Fick's perfusion principle were used to develop mathematical compartment models representing sustained drug diffusion throughout the human body. To adequately predict the sustained drug diffusion into various compartments of the human body, consider fractional derivative (Caputo model) to investigate the rate of concentration changing depending upon the change in the order of fractional differentiation in all the possible compartments of the body, i.e., systemic circulation and tissue compartments. Also, assigned a numerical parameter value to the rate of drug flow in different compartments to estimate the drug concentration. Results were calculated and figures were depicted by using MATLAB software (version R2020a). Illustrated graphical effects of change in concentration rate by assuming various intermediate values according to the fractional derivative (Caputo model). The resultant graphical representation concludes that considering the order of the differential equation values, the drug concentration varies depending upon its rate of constants in compartments concerning time. Considering the initial case for rough estimation where the body is indicated as a whole compartment, following division of the body into two model compartments. Whereas, the model I represents stomach, liver, and systemic blood, and model II consider arterial blood, liver tissue, and venous blood. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8395Caputo model, Compartment model, Drug diffusion, Fractional-order derivative, Mathematical modeling |
| spellingShingle | Ramanamoorthy Kandula Rupali S. Jain Sandhya Kandula Surendranath Reddy B. Pharmacokinetic Consideration to Formulate Sustained Release Drugs: Understanding the Controlled Drug Diffusion through the Body Compartment of the Systemic Circulation and Tissue Medium-A Caputo Model Baghdad Science Journal Caputo model, Compartment model, Drug diffusion, Fractional-order derivative, Mathematical modeling |
| title | Pharmacokinetic Consideration to Formulate Sustained Release Drugs: Understanding the Controlled Drug Diffusion through the Body Compartment of the Systemic Circulation and Tissue Medium-A Caputo Model |
| title_full | Pharmacokinetic Consideration to Formulate Sustained Release Drugs: Understanding the Controlled Drug Diffusion through the Body Compartment of the Systemic Circulation and Tissue Medium-A Caputo Model |
| title_fullStr | Pharmacokinetic Consideration to Formulate Sustained Release Drugs: Understanding the Controlled Drug Diffusion through the Body Compartment of the Systemic Circulation and Tissue Medium-A Caputo Model |
| title_full_unstemmed | Pharmacokinetic Consideration to Formulate Sustained Release Drugs: Understanding the Controlled Drug Diffusion through the Body Compartment of the Systemic Circulation and Tissue Medium-A Caputo Model |
| title_short | Pharmacokinetic Consideration to Formulate Sustained Release Drugs: Understanding the Controlled Drug Diffusion through the Body Compartment of the Systemic Circulation and Tissue Medium-A Caputo Model |
| title_sort | pharmacokinetic consideration to formulate sustained release drugs understanding the controlled drug diffusion through the body compartment of the systemic circulation and tissue medium a caputo model |
| topic | Caputo model, Compartment model, Drug diffusion, Fractional-order derivative, Mathematical modeling |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8395 |
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