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Understanding Formulation and Temperature Effects on Dermal Transport Kinetics by IVPT and Multiphysics Simulation

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Abstract

Purpose

It is often unclear how complex topical product formulation factors influence the transport kinetics through skin tissue layers, because of multiple confounding attributes. Environmental factors such as temperature effect are also poorly understood. In vitro permeation testing (IVPT) is frequently used to evaluate drug absorption across skin, but the flux results from these studies are from a combination of mechanistic processes.

Method

Two different commercially available formulations of oxybenzone-containing sunscreen cream and continuous spray were evaluated by IVPT in human skin. Temperature influence between typical skin surface temperature (32°C) and an elevated 37°C was also assessed. Furthermore, a multiphysics-based simulation model was developed and utilized to compute the flux of modeled formulations.

Results

Drug transport kinetics differed significantly between the two drug products. Flux was greatly influenced by the environmental temperature. The multiphysical simulation results could reproduce the experimental observations. The computation further indicated that the drug diffusion coefficient plays a dominant role in drug transport kinetics, influenced by the water content which is also affected by temperature.

Conclusion

The in vitro testing and bottom-up simulation shed insight into the mechanism of dermal absorption kinetics from dissimilar topical products.

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Abbreviations

c :

Drug concentration; initial value, c0

t :

Time

ϕ :

Porosity; initial value, ϕ0

S :

Effective volumetric strain; initial value, S0

ε v :

Volumetric strain; initial value, εv0

σij :

Stress tensor of i and j directions

ε ij :

Strain tensor of i and j directions

p :

Interstitial fluid pressure; initial value, p0

K :

Bulk modulus of whole tissue

K s :

Bulk modulus of tissue solid mass

β :

Biot coefficient

v :

Poisson’s ratio of tissue

E :

Elasticity modulus of tissue

u i :

Tissue displacement along i direction

u i, j :

Tissue displacement gradient with respect to j direction

f i :

Net force along i direction

k :

Permeability of tissue; initial value, k0

μ :

Dynamic viscosity of interstitial fluid

ρ :

Interstitial fluid density

\(\overrightarrow{v}\) :

Interstitial fluid velocity

D eff :

Effective diffusion coefficient of drug

k g :

Mass transfer coefficient

MW :

Molecular weight

a :

Surface water activity

\({p}_{sat}^o\) :

Water saturated vapor pressure

RH :

Relative humidity

R :

Gas constant

δ :

Kronecker delta function

ω :

Thermal expansion coefficient

T :

Temperature

T ref :

Initial temperature

E a :

Activation energy of diffusion

References

  1. marketsandmarkets.com. Topical Drug Delivery Market by Type (Semisolids (Creams, Ointments, Gels, Lotions, Liquids, Solids, Transdermal Products), Route (Dermal, Rectal, Vaginal), Patient Care Setting (Homecare, Hospital, Burn Center) COVID-19 Impact - Global Forecast to 2025 2020 [Available from: https://www.marketsandmarkets.com/Market-Reports/topical-drug-delivery-market-124871717.html. Accessed 19 Oct 2021.

  2. Trends in the topical delivery of dermatology medications 2017 [Available from: https://www.manufacturingchemist.com/news/article_page/Trends_in_the_topical_delivery_of_dermatology_medications/129282. Accessed 19 Oct 2021.

  3. Akomeah F, Nazir T, Martin GP, Brown MB. Effect of heat on the percutaneous absorption and skin retention of three model penetrants. Eur J Pharm Sci. 2004;21(2-3):337–45.

    Article  CAS  PubMed  Google Scholar 

  4. Chang SK, Riviere JE. Percutaneous absorption of parathion in vitro in porcine skin: effects of dose, temperature, humidity, and perfusate composition on absorptive flux. Fundam Appl Toxicol. 1991;17(3):494–504.

    Article  CAS  PubMed  Google Scholar 

  5. Engebretsen KA, Johansen JD, Kezic S, Linneberg A, Thyssen JP. The effect of environmental humidity and temperature on skin barrier function and dermatitis. J Eur Acad Dermatol Venereol. 2016;30(2):223–49.

    Article  CAS  PubMed  Google Scholar 

  6. Golden GM, Guzek DB, Harris RR, McKie JE, Potts RO. Lipid thermotropic transitions in human stratum corneum. J Invest Dermatol. 1986;86(3):255–9.

    Article  CAS  PubMed  Google Scholar 

  7. Hao J, Ghosh P, Li SK, Newman B, Kasting GB, Raney SG. Heat effects on drug delivery across human skin. Expert Opin Drug Deliv. 2016;13(5):755–68.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  8. Knutson KKS, Lambert WJ, Higuchi WI. Physicochemical aspects of transdermal permeation. J Control Release. 1987;6(1):59–74.

    Article  CAS  Google Scholar 

  9. Park JH, Lee JW, Kim YC, Prausnitz MR. The effect of heat on skin permeability. Int J Pharm. 2008;359(1-2):94–103.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  10. Peck KD, Ghanem AH, Higuchi WI. The effect of temperature upon the permeation of polar and ionic solutes through human epidermal membrane. J Pharm Sci. 1995;84(8):975–82.

    Article  CAS  PubMed  Google Scholar 

  11. Petersen KK, Rousing ML, Jensen C, Arendt-Nielsen L, Gazerani P. Effect of local controlled heat on transdermal delivery of nicotine. Int J Physiol Pathophysiol Pharmacol. 2011;3(3):236–42.

    CAS  PubMed  PubMed Central  Google Scholar 

  12. Shahzad Y, Louw R, Gerber M, du Plessis J. Breaching the skin barrier through temperature modulations. J Control Release. 2015;202:1–13.

    Article  CAS  PubMed  Google Scholar 

  13. Shin SH, Ghosh P, Newman B, Hammell DC, Raney SG, Hassan HE, et al. On the road to development of an in vitro permeation test (IVPT) model to compare heat effects on transdermal delivery systems: exploratory studies with nicotine and fentanyl. Pharm Res. 2017;34(9):1817–30.

    Article  CAS  PubMed  Google Scholar 

  14. Wood DG, Brown MB, Jones SA. Understanding heat facilitated drug transport across human epidermis. Eur J Pharm Biopharm. 2012;81(3):642–9.

    Article  CAS  PubMed  Google Scholar 

  15. Kato M, Ha M, Tokura H. Thermophysiological responses under the influences of two types of clothing at an ambient temperature of 32 degrees C with sun radiation. J Hum Ergol (Tokyo). 1997;26(1):51–9.

    CAS  Google Scholar 

  16. Chattaraj SC, Das SK, Kanfer I. In vitro release of acyclovir from semisolid dosage forms: effect of cyclodextrin and polyethylene glycol. Pharm Dev Technol. 1998;3(4):565–70.

    Article  CAS  PubMed  Google Scholar 

  17. Rose PG, Macfee MS, Boswell MV. Fentanyl transdermal system overdose secondary to cutaneous hyperthermia. Anesth Analg. 1993;77(2):390–1.

    Article  CAS  PubMed  Google Scholar 

  18. Brebner DF, Kerslake DM, Waddell JL. The diffusion of water vapour through human skin. J Physiol. 1956;132:225–31.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  19. LaCount TD, Zhang Q, Hao J, Ghosh P, Raney SG, Talattof A, et al. Modeling temperature-dependent dermal absorption and clearance for transdermal and topical drug applications. AAPS J. 2020;22(3):70.

    Article  CAS  PubMed  Google Scholar 

  20. Hou P, Zheng FD, Corpstein CD, Xing L, Li TL. Multiphysics modeling and simulation of subcutaneous injection and absorption of biotherapeutics: sensitivity analysis. Pharm Res. 2021;38(6):1011–30.

    Article  CAS  PubMed  Google Scholar 

  21. Zheng FD, Hou P, Corpstein CD, Xing L, Li TL. Multiphysics modeling and simulation of subcutaneous injection and absorption of biotherapeutics: model development. Pharm Res. 2021;38(4):607–24.

    Article  CAS  PubMed  Google Scholar 

  22. Thomsen M, Hernandez-Garcia A, Mathiesen J, Poulsen M, Sørensen DN, Tarnow L, et al. Model study of the pressure build-up during subcutaneous injection. PLoS One. 2014;9(8):e104054.

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  23. Nedjar B. Formulation of a nonlinear porosity law for fully saturated porous media at finite strains. J Mech Phys Solids. 2013;61:537–56.

    Article  Google Scholar 

  24. Zhang H, Liu J, Elsworth D. How sorption-induced matrix deformation affects gas flow in coal seams: a new FE model. Int J Rock Mech Min Sci. 2008;45(8):1226–36.

    Article  Google Scholar 

  25. Hommel J, Coltman E, Class H. Porosity–permeability relations for evolving pore space: a review with a focus on (bio-)geochemically altered porous media. Transp Porous Media. 2018;124(2):589–629.

  26. Bear J. Dynamics of fluids in porous media. Newburyport: Dover Publications; 2013.

    Google Scholar 

  27. Detournay E, Cheng AHD. 5 - Fundamentals of poroelasticity. In: Fairhurst C, editor. Analysis and design methods. Oxford: Pergamon; 1993. p. 113–71.

  28. Støverud KH, Darcis M, Helmig R, Hassanizadeh SM. Modeling concentration distribution and deformation during convection-enhanced drug delivery into brain tissue. Transp Porous Media. 2012;92(1):119–43.

    Article  CAS  Google Scholar 

  29. Dokos S. Modelling organs, tissues, cells and devices: using MATLAB and COMSOL Multiphysics. Berlin Heidelberg: Springer; 2017.

    Book  Google Scholar 

  30. Li X, Johnson R, Weinstein B, Wilder E, Smith E, Kasting GB. Dynamics of water transport and swelling in human stratum corneum. Chem Eng Sci. 2015;138:164–72.

    Article  CAS  Google Scholar 

  31. Saadatmand M, Stone KJ, Vega VN, Felter S, Ventura S, Kasting G, et al. Skin hydration analysis by experiment and computer simulations and its implications for diapered skin. Skin Res Technol. 2017;23(4):500–13.

    Article  CAS  PubMed  Google Scholar 

  32. Marquez-Lago TT, Allen DM, Thewalt J. A novel approach to modelling water transport and drug diffusion through the stratum corneum. Theor Biol Med Model. 2010;7(1):33.

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  33. Wang Y, Xu R, He W, Yao Z, Li H, Zhou J, et al. Three-dimensional histological structures of the human dermis. Tissue Eng Part C Methods. 2015;21(9):932–44.

    Article  CAS  PubMed  Google Scholar 

  34. Defraeye T, Bahrami F, Ding L, Riccardo Innocenti Malini RI, Terrier A, Rossi RM. Predicting transdermal fentanyl delivery using mechanistic simulations for tailored therapy. Front Pharmacol. 2020;11:585393.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  35. Olszewski WL, Jain P, Ambujam G, Zaleska M, Cakala M, Gradalski T. Tissue fluid pressure and flow in the subcutaneous tissue in lymphedema - hints for manual and pneumatic compression therapy. Phlebolymphology. 2010;17:144–50.

    Google Scholar 

  36. Abellan MA, Zahouani H, Bergheau JM. Contribution to the determination of in vivo mechanical characteristics of human skin by indentation test. Comput Math Methods Med. 2013;2013:814025.

    Article  PubMed  PubMed Central  Google Scholar 

  37. Dehghani H, Noll I, Penta R, Menzel A, Merodio J. The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials. Eur J Mech- A Solids. 2020;83:103996.

    Article  Google Scholar 

  38. Li C, Guan G, Reif R, Huang Z, Wang RK. Determining elastic properties of skin by measuring surface waves from an impulse mechanical stimulus using phase-sensitive optical coherence tomography. J R Soc Interface. 2012;9(70):831–41.

    Article  PubMed  Google Scholar 

  39. Wilson SB, Spence VA. A tissue heat transfer model for relating dynamic skin temperature changes to physiological parameters. Phys Med Biol. 1988;33(8):895–912.

    Article  CAS  PubMed  Google Scholar 

  40. Xu F, Lu TJ, Seffen KA. Biothermomechanical behavior of skin tissue. Acta Mech Sinica. 2008;24(1):1–23.

    Article  Google Scholar 

  41. Lucio MD, Bures M, Ardekani AM, Vlachos PP, Gomes H. Isogemetric analysis of subcutaneous injection of monoclonal antibodies. Comput Methods Appl Mech Eng. 2021;373:113550.

    Article  Google Scholar 

  42. Chen EJ, Novakofski J, Jenkins WK, O’Brien WD. Young's modulus measurements of soft tissues with application to elasticity amaging. IEEE Trans Ultrason Ferroelectr Freq Control. 1996;43(1):191–4.

    Article  Google Scholar 

  43. Binder L, Klang V, Rezaei S, Zhang Z, Wolzt M, Valenta C. Topical application of highly concentrated water-in-oil emulsions: physiological skin parameters and skin penetration in vivo - a pilot study. Int J Pharm. 2019;571:118694.

    Article  CAS  PubMed  Google Scholar 

  44. Patzelt A, Lademann J, Richter H, Darvin M, Schanzer S, Thiede G, et al. In vivo investigations on the penetration of various oils and their influence on the skin barrier. Skin Res Technol. 2012;18:364–9.

    Article  CAS  PubMed  Google Scholar 

  45. Matta MK, Florian J, Zusterzeel R, Pilli NR, Patel V, Volpe DA, et al. Effect of sunscreen application on plasma concentration of sunscreen active ingredients: a randomized clinical trial. JAMA. 2020;323(3):256–67.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  46. Matta MK, Zusterzeel R, Pilli NR, Patel V, Volpe DA, Florian J, et al. Effect of sunscreen application under maximal use conditions on plasma concentration of sunscreen active ingredients: a randomized clinical trial. JAMA. 2019;321(21):2082–91.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  47. Sunscreen Drug Products for Over-The-Counter Human Use. Food and drug administration, HHS Notice of final monograph 1999, 64 Fed. Reg. 27666 (May 21, 1999) (to be codified at 21 C.F.R. pts 310, 352, 700 & 750).

  48. Oxybenzone; MSDS No. PHR074; Sigma-Aldrich: St. Louis, MO, December 12, 2021.

  49. Ansel HC, Popovich NG, Allen Jr LV. Transdermal drug delivery systems, ointments, creams, lotions, and other preparations. Ansel’s pharmaceutical dosage forms and drug delivery systems, 8th ed. Baltimore, MD: Lippincott Williams & Wilkins; 2006. p. 357–95.

  50. Ma JKH, Hadzija BW. Rheology in pharmacy. Basic Physical Pharmacy. Burlington, MA: Jones & Bartlett Learning; 2013. p. 301–39.

  51. Michniak-Kohn BB, editor. Topical dosage forms & formulations. AAPS webinar series, 2019.

  52. Kurul E, Hekimoglu S. Skin permeation of two different benzophenone derivatives from various vehicles. Int J Cosmet Sci. 2001;23(4):211–8.

    Article  CAS  PubMed  Google Scholar 

  53. Tsai JC, Cappel MJ, Flynn GL, Weiner ND, Kreuter J, Ferry JJ. Drug and vehicle deposition from topical applications: use of in vitro mass balance technique with minoxidil solutions. J Pharm Sci. 1992;81(8):736–43.

    Article  CAS  PubMed  Google Scholar 

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ACKNOWLEDGMENTS AND DISCLOSURES

Biospecimens were provided by the NCI funded Cooperative Human Tissue Network (CHTN). Other investigators may have received specimens from the same tissue specimens. The CHTN is comprised of six academic institutions who collect and distribute remnant human biospecimens from routine surgical and autopsy procedures to investigators for basic and applied science to advance biomedical research. The authors have no financial or proprietary interests in any material discussed in this article

Funding

Funding for this project was made possible, in part, by the University of Maryland Baltimore, School of Pharmacy Mass Spectrometry Center (Research Award SOP1841-IQB2014), the University of Maryland Baltimore, Institute for Clinical & Translational Research (ICTR) voucher program and the University of Maryland Baltimore Pharmaceutical Sciences Department Fellowship and Merit Awards.

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Correspondence to Tonglei Li or Audra L. Stinchcomb.

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Zambrana, P.N., Hou, P., Hammell, D.C. et al. Understanding Formulation and Temperature Effects on Dermal Transport Kinetics by IVPT and Multiphysics Simulation. Pharm Res 39, 893–905 (2022). https://doi.org/10.1007/s11095-022-03283-1

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