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Modelling optimal delivery of bFGF to chronic wounds using ODEs.

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Title: Modelling optimal delivery of bFGF to chronic wounds using ODEs.
Authors: Thew, Johnny1, Burrage, Pamela1, Medlicott, Natalie2, Mallet, Dann1,3 dg.mallet@qut.edu.au
Source: Journal of Theoretical Biology. Mar2019, Vol. 465, p109-116. 8p.
Subjects: Fibroblast growth factors, Chronic wounds & injuries, Ordinary differential equations, Drug delivery systems, Binding agents
Abstract: Highlights • An optimal control-ordinary differential equation model is constructed for basic fibroblast growth factor and binding agent interactions. • Theoretical predictions for optimal bFGF delivery are proposed for chronic wounds. • Insight is provided into the priority of minimising bFGF delivery and optimising bound bFGF distribution. Abstract In this paper, we present an ordinary differential equation model depicting the interactions of basic fibroblast growth factor (bFGF) and its binding agents in a chronic wound. The delivery of bFGF was treated as a control variable and is coupled to an objective functional. By optimising the objective functional with respect to the control, predictions for optimal delivery rates of bFGF are proposed. The optimal control is then validated by comparing the cost of the objective functional for the optimal delivery rate and several alternative delivery rates. This paper addresses two objectives of effective drug delivery to chronic wounds. The first is to provide insight for the priority of delivering bFGF: to minimise the quantity of bFGF, or to optimise the distribution of bound bFGF. For effective concentrations of bound bFGF, the optimisation of bound bFGF must be prioritised over the minimisation of bFGF delivered. The second objective is to comment on the effect of the proteolytic environment within the wound, with the concentration of bound bFGF starting to decrease late in the treatment period for highly proteolytic environments. This will lead to long term complications with wound closure after the treatment has been completed. Also, it was found that for highly proteolytic environments, the cost of delivering bFGF increased. The need for optimal drug delivery is made apparent by the burden of chronic wounds on the medical industry across the developed world. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Theoretical Biology is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Modelling optimal delivery of bFGF to chronic wounds using ODEs.
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  Data: <searchLink fieldCode="DE" term="%22Fibroblast+growth+factors%22">Fibroblast growth factors</searchLink><br /><searchLink fieldCode="DE" term="%22Chronic+wounds+%26+injuries%22">Chronic wounds & injuries</searchLink><br /><searchLink fieldCode="DE" term="%22Ordinary+differential+equations%22">Ordinary differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Drug+delivery+systems%22">Drug delivery systems</searchLink><br /><searchLink fieldCode="DE" term="%22Binding+agents%22">Binding agents</searchLink>
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  Data: Highlights • An optimal control-ordinary differential equation model is constructed for basic fibroblast growth factor and binding agent interactions. • Theoretical predictions for optimal bFGF delivery are proposed for chronic wounds. • Insight is provided into the priority of minimising bFGF delivery and optimising bound bFGF distribution. Abstract In this paper, we present an ordinary differential equation model depicting the interactions of basic fibroblast growth factor (bFGF) and its binding agents in a chronic wound. The delivery of bFGF was treated as a control variable and is coupled to an objective functional. By optimising the objective functional with respect to the control, predictions for optimal delivery rates of bFGF are proposed. The optimal control is then validated by comparing the cost of the objective functional for the optimal delivery rate and several alternative delivery rates. This paper addresses two objectives of effective drug delivery to chronic wounds. The first is to provide insight for the priority of delivering bFGF: to minimise the quantity of bFGF, or to optimise the distribution of bound bFGF. For effective concentrations of bound bFGF, the optimisation of bound bFGF must be prioritised over the minimisation of bFGF delivered. The second objective is to comment on the effect of the proteolytic environment within the wound, with the concentration of bound bFGF starting to decrease late in the treatment period for highly proteolytic environments. This will lead to long term complications with wound closure after the treatment has been completed. Also, it was found that for highly proteolytic environments, the cost of delivering bFGF increased. The need for optimal drug delivery is made apparent by the burden of chronic wounds on the medical industry across the developed world. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Theoretical Biology is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jtbi.2018.12.028
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        Text: English
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        StartPage: 109
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      – SubjectFull: Chronic wounds & injuries
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      – SubjectFull: Ordinary differential equations
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              Text: Mar2019
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