On mathematical modeling of dermal and transdermal drug delivery.

@article{Manitz1998OnMM,
  title={On mathematical modeling of dermal and transdermal drug delivery.},
  author={R. Manitz and W. Lucht and K. Strehmel and R. Weiner and R. Neubert},
  journal={Journal of pharmaceutical sciences},
  year={1998},
  volume={87 7},
  pages={
          873-9
        }
}
This paper deals with two extensions of diffusion models for the drug delivery process into human skin in order to give a more realistic approach. As one extension several penetrating substances formulated within a vehicle are considered for modeling the case of an applied drug and some penetration modifiers (enhancers and reducers, respectively). A coupling via concentration-dependent diffusivities between the diffusion equations of the involved substances is used to model the dependencies… Expand
An Analytical Approach To Study The Drug Diffusion Through Transdermal Drug Delivery System
The transdermal drug-delivery (TDD) is an alternate route of drug transport through dermal regions with number of benefits over oral and parenteral routes. For this purpose, mathematical modelling ofExpand
A two-phase two-layer model for transdermal drug delivery and percutaneous absorption.
TLDR
A two-phase mathematical model describing the dynamics of a substance between two coupled media of different properties and dimensions and points out the role of the diffusion and reaction parameters, which control the complex transfer mechanism and the drug kinetics across the two layers. Expand
Modelling Transdermal Drug Delivery through a Two-layered System
TLDR
A multiphase mathematical model describing the dynamics of a substance between two porous coupled media of different properties and extents and points out the role of the diffusion and reaction parameters, which control the complex transfer mechanism and the drug kinetics across the two layers. Expand
Finite Element Modeling of Coupled Diffusion with Partitioning in Transdermal Drug Delivery
TLDR
It is demonstrated that nonlinear partitioning may have an important role in the effect of permeation enhancers and a versatile finite element framework suitable for modeling both linear and nonlinear diffusions in heterogeneous media where the diffusivities and partition coefficients may vary in each subregion. Expand
A theoretical model for transdermal drug delivery from emulsions and its dependence upon formulation.
TLDR
A proposed model of transdermal drug delivery from an emulsion-type vehicle that addresses the vehicle heterogeneity and incorporates the prediction of drug transport parameters as function of the vehicle composition provides a sound physicochemical basis to support the development of new formulations and the planning of experiments. Expand
Distributed diffusion-clearance model for transient drug distribution within the skin.
TLDR
Application of a whole-skin variant of the model (including the stratum corneum and viable epidermis) allowed realistic predictions to be made of transient subsurface concentration levels after application from a finite dose. Expand
Transdermal Drug Delivery and Percutaneous Absorption: Mathematical Modeling Perspectives
Abstract Transdermal drug delivery is the systemic or topical release of drugs by percutaneous permeation. It offers several advantages, such as limitation of hepatic first pass metabolism andExpand
Mathematical modelling of transdermal permeation of chemicals with special focus on the hair follicle pathway.
The assessment of the follicular penetration of chemicals into the human skin is of high importance to topical and transdermal drug delivery, personal care, as well as risk assessment of chemicalExpand
A Nonlinear Mathematical Model of Drug Delivery from Polymeric Matrix
TLDR
The objective of the present study is to mathematically model the integrated kinetics of drug release in a polymeric matrix and its ensuing drug transport to the encompassing biological tissue through a system of nonlinear partial differential equations. Expand
Transdermal Drug Delivery with Permeation Enhancer
Transdermal drug delivery (TDD) is used to deliver drugs through the skin as an alternative to oral, intravascular and subcutaneous routes. While there are many advantages to TDD, skin is a veryExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 15 REFERENCES
AN IMPROVED DIFFUSION/COMPARTMENTAL MODEL FOR TRANSDERMAL DRUG DELIVERY FROM A MATRIX-TYPE DEVICE
Abstract A mathematical model is presented for the description of transdermal drug delivery from a matrix-type delivery device. The model is partly diffusional and partly compartmental in nature. TheExpand
The effect of penetration enhancers on the kinetics of percutaneous absorption
Abstract The effect of penetration enhancers on the kinetics of percutaneous absorption and transdermal drug delivery has been examined theoretically. Using a physically based pharmacokineticExpand
Experimental determination and mathematical modelling of propylene glycol transport from semisolid vehicles
The penetration of the cosolvent and penetration enhancer propylene glycol (PG) into a multilayer membrane system was examined. Consisting of dodecanol (DD) this acceptor system was used to simulateExpand
A multilayer membrane system for modelling drug penetration into skin
Abstract A new model system for modelling drug penetration profiles in human skin is presented with a multilayer membrane system as receptor. For this purpose, membranes were used with dodecanol (DD)Expand
Transdermal drug delivery: a simplified pharmacokinetic approach
TLDR
The model has been used to calculate the theoretical levels of clonidine after it has been applied in a transdermal system and will allow the estimation of the plasma levels of the drug following the dermal application of a rate-controlling device. Expand
Modelling of drug penetration into human skin using a multilayer membrane system.
TLDR
It was demonstrated that the variability of the acceptor system can be used to adapt the penetration profiles of dithranol in a six-layer membrane system to those in excised human skin. Expand
Drug permeation across the skin: effect of penetrant hydrophilicity.
TLDR
The steady-state rate of permeation across the intact skin and stripped skin was found to be approximately proportional to the solubility of drugs in the stratum corneum or in the viable skin, respectively and the diffusivity of progesterone and its hydroxyl derivatives was almost independent of the hydrophilicity of the drugs. Expand
Computer simulation of penetrant concentration-depth profiles in the stratum corneum
Abstract Approximate drug concentration-depth profiles in the stratum corneum (sc) have been achieved by computer simulation. In vivo data from the literature have been used to predict profiles forExpand
Diffusivity and structural polymorphism in some model stratum corneum lipid systems.
TLDR
The results indicate that the diffusional barrier within the model lipid mixtures is guaranteed essentially by the presence of an L beta phase. Expand
Free and moving boundary problems
1. Moving boundary problems: formulation 2. Free boundary problems: formulation 3. Analytical solutions 4. Front-tracking methods 5. Front-fixing methods 6. Fixed-domain methods 7. AnalyticalExpand
...
1
2
...