Abstract A drug delivery system (DDS) is defined as a formulation or a device that enables a therapeutic substance to selectively reach its site of action without reaching the nontarget cells, organs, or tissues. It can also be understood as an approach associated with transporting a pharmaceutical compound to its target site to accomplish a desired therapeutic effect. The drug delivery process is affected by many factors and parameters including temperature, pH, the drug itself, the composition, particle size and the partitioning coefficient among many more.1 This literature survey aims to develop an understanding about the broad topic of drug delivery focusing mainly on the effect of the partitioning coefficient and the particle size on the drug delivery process. Moreover, it will highlight how the partitioning coefficient and particle size of a particular drug play a role in the drug release and absorption through membranes in the human body. 1 Chackalamannil,S, Rotella, D, Ward, S.(2017) Comprehensive Medicinal Chemistry III. Available at: https://www.sciencedirect.com/referencework/9780128032015/comprehensive-medicinal-chemistry-iii (Downloaded: 9 April 2023) Introduction Drug delivery refers to techniques for introducing and distributing medications or drugs inside the body. The process of drug delivery involves numerous molecular pathways, and for a drug to have therapeutic effects in a living organism, it must be efficiently and accurately transported to the target region, absorbed and released without interfering with other cells. This process is tedious and various drug administration routes are established to increase the target efficiency and reduce the biological barriers, such as mucus barrier, blood brain barrier and cell membrane barrier.2 One of the many biological barriers that are faced in the drug delivery process are the cell membranes. The ability of the drug to cross or permeate the cell membranes is one of the most important steps in the process. To begin with, a drug can be classified as hydrophilic or lipophilic. This depends on their ability to dissolve in water or in lipid-containing media. In this respect, absorption is faster in lipophilic drugs as lipophilic compounds tend to have a greater affinity for metabolic enzymes which leads to not only greater metabolic clearances and absorption but also contributes to higher permeability in membranes.3 This plays a significant role in drug delivery as membrane penetration and other partitions are controlled by a number of physico-chemical parameters, the most prominent include lipophilicity. Drug delivery is a cascade of molecular migration processes, in which the active ingredient dissolves in and partitions between several biological media of various hydrophilic and lipophilic character. The partitioning coefficient is the measure of the lipophilicity of a drug and an indication of its ability to cross the cell membrane. It is defined as the ratio between un-ionized drugs distributed between the organic and aqueous layers at equilibrium. It can also be understood as the partition of a neutral uncharged species into the oil or water phase. The partitioning coefficient measures how hydrophobic or hydrophilic a chemical substance is. Drugs with high partition-coefficient value can easily permeate through biological membranes, due to their lipophilic nature. The speed at which drug molecules diffuse into matrix systems or through rate-controlling membranes is primarily determined by the partition coefficient.4 The determination of the partitioning coefficient of a drug can be done experimentally by using various methods5. The most common method is the shake-flask method, in which the drug is placed 2 K.S. Yadav, D.C. Dalal. (15 June 2021) The heterogeneous multiscale method to study particle size and partitioning effects in drug delivery. Available at: https://www.sciencedirect.com/science/article/abs/pii/S0898122121001000 (Accessed: 9 April 2023) 3 Climent, E, Benaiges, D, Pedro-Botet, J. (20 May 2021) Hydrophilic or Lipophilic Statins? Available at: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8172607/#:~:text=The%20classification%20of%20drugs%20as,is%20greater%2 0in%20hydrophilic%20medications (Accessed: 9 April 2023) 4 Grumezescu, A.M. (2018) Drug Targeting and Stimuli Sensitive Drug Delivery Systems. Available at: https://www.sciencedirect.com/book/9780128136898/drug-targeting-and-stimuli-sensitive-drug-delivery-systems (Downloaded: 9 April 2023) 5 Mallikarjuna Rao, Kishore Kumar, M., & Malla Reddy, C. (2011). A review on partition coefficient and its determination methods. Der Pharmacia Lettre, 3(2), 267-276. 1 in a mixture of the two solvents (water and octanol) and shaken vigorously to allow the drug to distribute itself between the two phases until equilibrium is reached. The partitioning coefficient is defined as the ratio of the drug concentration in the organic phase (octanol) to that in the aqueous phase (water) when the two phases are in equilibrium. So, after equilibrium is reached the concentrations of the drug in each phase are then determined, usually by analytical techniques such as UV spectrophotometry, and the partitioning coefficient is calculated as the ratio of the concentration in the octanol phase to that in the aqueous phase6. It is important to note that the partitioning coefficient can vary depending on several factors such as temperature, pH, and the presence of other solutes in the system. Therefore, it is important to standardize the conditions under which the partitioning coefficient is measured. Particle size analysis is an important parameter in drug delivery systems as it can affect the drug's solubility, stability, and bioavailability. There are several methods for determining the particle size of drugs in drug delivery systems, including microscopy, laser diffraction, dynamic light scattering, and sedimentation analysis7. Microscopy methods involve the use of optical or electron microscopy to observe and measure the size and shape of particles. Laser diffraction methods use a laser beam to scatter light off the particles and determine their size based on the diffraction pattern. Dynamic light scattering measures the size of particles by analyzing the fluctuations in scattered light caused by Brownian motion. Sedimentation analysis involves the measurement of the rate at which particles settle in a liquid medium, which is related to their size. At the end, each method has its advantages and limitations, and the choice of method depends on the nature of the drug delivery system and the specific requirements of the study. 6 Huang, Y., Li, X., Li, Y., Li, H., & Li, G. (2018). Determination of the octanol/water partition coefficient (logP) of triclosan by HPLC. Journal of Chemistry, 2018, 1-6. 7 Bhushan, B., & Prajapati, R. (2017). Particle size analysis in pharmaceutical manufacturing process. Journal of Pharmaceutical Research and Clinical Practice, 1(1), 2 Discussion It is significant to note that drugs are absorbed by passive diffusion across a lipophilic cell membrane into the blood in order to be transported to its target site. Therefore, lipophilicity is an important property of a drug that influences this process and the partitioning coefficients are very useful in determining and estimating the distribution of drug molecules within the body as it gives a measure of a solute’s hydrophobicity and a representation for its ability to permeate a membrane. Another parameter that must be taken into consideration in the drug delivery process is the particle size. Particle size is a key parameter for drug delivery. It is believed that the size of a particle may have important effects on its ability to overcome the transport barriers in biological tissues. Theoretically, to overcome the biological barriers and allow the drug to reach its target site, the molecules must possess a specific size.8 The particle size of a drug can affect the drug delivery process where it determines the rate and extent of drug absorption and influences the drug's bioavailability which refers to the fraction of the administered dose that reaches the systemic circulation and is available for the desired pharmacological effect. After the investigation of several scientists, it was found that the effect of particle size on the dissolution rate of multiple drugs, mostly water-poor drugs that are soluble, such as, griseofulvin, phenylbutazone, and indomethacin is majorly significant. Reducing the drug's particle size will lead to an increase in the surface area, which results in faster drug absorption and higher bioavailability9 that’s because smaller particles are more easily dissolved in water, leading to a higher concentration of drug molecules that come into contact with the dissolution medium which are available for absorption, as well as a significant increase in the dissolution of the drug that enhances the release rate of drug delivery due to increased surface area and improved wettability, which leads to faster drug diffusion or erosion of the delivery system. Nonetheless, particle size can also impact the stability of drug molecules10 because smaller particles are more prone to aggregation or degradation, which results in a reduced stability of the drug during storage or in general physiological conditions, also noting that these small particles may have different interactions with biological tissues or cells compared to larger particles, which can possibly affect their biocompatibility, toxicity, or immunogenicity11. 8 Islam, M.A., Barua, S. & Barua, D. A. (25 November 2017). Multiscale modeling study of particle size effects on the tissue penetration efficacy of drug-delivery nanoparticles. Available at: https://bmcsystbiol.biomedcentral.com/articles/10.1186/s12918017-0491-4#citeas (Accessed: 9 April 2023) 9 Chingunpituk J. Particle size effect on the solubility and bioavailability of poorly soluble drugs: theory and practice. Eur J Pharm Sci. 2016 Feb 15;89:181-94. doi: 10.1016/j.ejps.2016.04.014. Epub 2016 Apr 16. PMID: 27091283. 10 Gao L, Zhang D, Chen M. Drug nanocrystals for the formulation of poorly soluble drugs and its application as a potential drug delivery system. J Nanopart Res. 2008;10(5):845-62. doi: 10.1007/s11051-007-9309-9. Epub 2008 Jan 29. PMID: 18769649; PMCID: PMC2564352. 11 Nel A, Xia T, Mädler L, Li N. Toxic potential of materials at the nanolevel. Science. 2006 Jan 20;311(5761):622-7. doi: 10.1126/science.1114397. PMID: 16456071. 3 Several studies were conducted to prove the effect of particle size on drug delivery. For instance, a study conducted by Wang in 2018 investigated the effect of particle size on the bioavailability of geniposide, which is a natural product with therapeutic potential for inflammatory diseases. The researchers prepared geniposide nanoparticles with particle sizes (ranging from 80 nm to 560 nm) and evaluated their pharmacokinetic profiles in rats. The results obtained confirmed that the smaller nanoparticles (80 nm and 220 nm) exhibited significantly higher bioavailability compared to the larger nanoparticles (340 nm and 560 nm) which leads to the conclusion that reducing particle size can enhance the oral bioavailability of geniposide and improve its therapeutic efficacy. Another study was conducted by Xu in 2018 that investigated the effect of particle size on the bioavailability of quercetin in rats where the results also showed that smaller particles of quercetin had higher bioavailability compared to larger particles. Similarly, a study by Abdelbary in 2012 found that the bioavailability of tadalafil increased when the particle size was reduced12. In addition, the particle size of drugs plays an important role in determining their ability to cross the blood-brain barrier (BBB) and penetrate into the brain tissue. The BBB is a highly specialized system of tightly-packed cells that line the blood vessels in the brain and prevent the free exchange of molecules between the bloodstream and the brain tissue.13 Although the BBB is critical for brain function, it can also pose a challenge for drug delivery to the brain, as many drugs are unable to cross the barrier. As a result, there is significant interest in developing strategies to bypass or overcome the BBB for the treatment of neurological disorders and brain tumors. Generally, particles with a diameter less than 100 nm are believed to have a better chance of crossing the BBB and have shown promising results in enhancing brain drug delivery 14. Nanoparticle-based drug delivery systems have been extensively studied as a means of enhancing brain drug delivery by taking advantage of their small size and surface properties. Various types of nanoparticles, including liposomes, solid lipid nanoparticles, and polymeric nanoparticles, have been investigated for their ability to cross the BBB15. The size and surface properties of these nanoparticles can be carefully controlled and tailored to enhance their ability to cross the BBB16. Another parameter affecting the drug delivery process is the partitioning coefficient, which describes the partitioning of a drug between two immiscible phases, typically a hydrophobic and a hydrophilic phase. In drug delivery, several factors can influence the effect of partitioning coefficient on drug delivery as it is highly influenced by the solubility of the drug in the respective phases where drugs with higher solubility in the hydrophobic phase, higher partitioning 12 Abdelbary, G. A., El-Gendy, N. A., & Youssef, A. M. (2012). Nanoparticles for enhancement of oral bioavailability of tadalafil: preparation and in vitro and in vivo evaluation. International Journal of Nanomedicine, 7, 3027–3038. 13 Abbott, N. J., Patabendige, A. A., Dolman, D. E., Yusof, S. R., & Begley, D. J. (2010). Structure and function of the blood-brain barrier. Neurobiology of Disease, 37(1), 13-25. 14 Huile, G., Shu, C., & Jiang, Q. (2016). The blood-brain barrier (BBB) permeability in Alzheimer's disease (AD) and the delivery of drugs to the brain. Asian Journal of Pharmaceutical Sciences, 11(3), 303-312. 15 Kuo, Y. C., Lin, C. H., & Chen, C. C. (2017). Evaluation of blood-brain barrier permeability using in vivo perfusion techniques: Quantitative analysis and determination of cutoff size. BioMed Research International, 2017, 1-9. 16 Chen, X., Chen, Y., Wu, J., Li, Y., Hu, H., Liu, Y., ... & Li, W. (2018). Preparation of brain-targeting rivastigmine-loaded solid lipid nanoparticles by co-grinding and ultrasonication method. Colloids and Surfaces B: Biointerfaces, 162, 305-311. 4 coefficient, are more likely to accumulate in lipid-based delivery systems, such as liposomes, micelles, or lipid nanoparticles. However, drugs with higher solubility in the hydrophilic phase, lower partitioning coefficient, are more likely to be distributed in aqueous-based delivery systems, such as emulsions or hydrogels17. The coefficient can also affect the drug loading capacity of drug delivery systems18. A possibility of allowance in higher drug loading in hydrophobic-based delivery systems is due to a higher partitioning coefficient, where the drug molecules can be incorporated into the lipid or hydrophobic core of the system. In contrast, lower partitioning coefficients may limit drug loading where the drug molecules may be dispersed in the aqueous phase. However, it’s also a reason for the influence of the rate at which a drug is released from a delivery system, where higher partitioning coefficients tend to have slower release rates from hydrophobic-based delivery systems because of their strong affinity to the lipid phase that leads to a more sustained and controlled drug release which conversely means that faster release rates from hydrophilic-based delivery systems are ought to happen due to their weaker affinity to the aqueous phase at a lower partitioning coefficient. Another important factor is the stability of the drug where drugs that may be more prone to chemical degradation or physical instability in hydrophobic-based delivery systems at a higher partitioning coefficient, whereas drugs with lower partitioning coefficients may be more susceptible to hydrolysis or oxidation in those systems. Nevertheless, a higher partitioning coefficient also affects the biocompatibility as previously mentioned. Multiple scientific studies have shown the effect of partitioning coefficient on drug delivery. For instance, a study conducted by Zhu in 2019 investigated the effect of partition coefficient on the distribution of vinorelbine, an antineoplastic drug used for the treatment of various types of cancer where the researchers prepared vinorelbine liposomes with different lipid compositions and evaluated their pharmacokinetic profiles in rats and the results proved that the partition coefficient of vinorelbine was significantly higher in the liposomes containing high amounts of cholesterol and sphingomyelin compared to the liposomes containing only phospholipids. It was concluded that increasing the partition coefficient of vinorelbine can enhance its accumulation in tumor tissues and improve its antitumor efficacy. Another study was also conducted by Chen in 2019 that investigated the effect of partition coefficient on the pharmacokinetics of ibuprofen. The results showed that a higher partition coefficient led to a higher area under the concentration-time curve 17 Du J, Tang H, Zhang X, Jing X. Chapter 2 - Emulsions for Drug Delivery. In: Grumezescu AM, editor. Emulsions. William Andrew Publishing; 2016. p. 25-64. 18 Mohsin K, Shahba AA, Alanazi FK. Development of controlled release lipid-based nanoparticles of pentoxifylline by BoxBehnken design for the management of peripheral arterial occlusive disease. A Abdelbary, G. A., El-Gendy, N. A., & Youssef, A. M. (2012). Nanoparticles for enhancement of oral bioavailability of tadalafil: preparation and in vitro and in vivo evaluation. International Journal of Nanomedicine, 7, 3027–3038. https://doi.org/10.2147/ijn.s33394 Chen, Y., Liu, X., Wang, Y., Liu, X., Zhao, M., Zhou, X., … Wu, Y. (2019). The influence of partition coefficient on the pharmacokinetics and analgesic efficacy of ibuprofen. European Journal of Pharmaceutical Sciences, 137, 104985. https://doi.org/10.1016/j.ejps.2019.104985 Su, P., Li, S., Chen, S., Li, H., 5 (AUC) and longer half-life. Similarly, a study by Su in 2019 found that the partition coefficient affected the cellular uptake and cytotoxicity of curcumin in breast cancer cells19. Moreover, a study conducted by Zhang et al. (2020) investigated the combined effect of particle size and partition coefficient on the oral bioavailability of baicalin, a flavonoid with antiinflammatory and anticancer activities. The researchers prepared baicalin nanoparticles with different particle sizes and surface modifications and evaluated their pharmacokinetic profiles in rats. The results showed that the baicalin nanoparticles with small particle size and high partition coefficient exhibited significantly higher bioavailability compared to the larger nanoparticles and those with low partition coefficient. The authors concluded that optimizing both particle size and partition coefficient can improve the oral bioavailability and therapeutic efficacy of baicalin20. Zhu, L., Xu, X., Wang, Y., Guo, L., Huang, J., Zhao, J., … Zhang, Z. (2019). Liposomes containing cholesterol and sphingomyelin enhance the pharmacokinetic profile and anti-tumor efficacy of vinorelbine. International Journal of Pharmaceutics, 556, 82–90. 20 Zhang, Y., He, X., Zhou, J., Zhang, Y., & Li, J. (2020). Combined effects of particle size and partition coefficient on the oral bioavailability of baicalin nanocrystals with different surface modifications. International Journal of Nanomedicine, 15, 4177– 4188. 19 6 Conclusion In conclusion, particle size and partitioning coefficient are essential factors that affect drug delivery. Smaller particle sizes lead to faster drug absorption and higher bioavailability, while a high partition coefficient indicates a higher tendency to accumulate in adipose tissue, taking into consideration the aqueous solubility and permeability as they are a main factor of the drug delivery system. Understanding the effect of these factors is crucial in optimizing drug delivery and ensuring the desired therapeutic outcomes. Future research should focus on developing drug delivery systems that take into account the particle size and partitioning coefficient of drugs to improve their effectiveness and safety. In addition, the use of nanoparticles as a drug delivery system shows promise for crossing the BBB and delivering drugs to the brain. However, further research is needed to optimize nanoparticle design and ensure their safety and efficacy for clinical use. 7 References Chackalamannil,S, Rotella, D, Ward, S.(2017) Comprehensive Medicinal Chemistry III. Available at: https://www.sciencedirect.com/referencework/9780128032015/comprehensivemedicinal-chemistry-iii (Downloaded: 9 April 2023) K.S. Yadav, D.C. Dalal. (15 June 2021) The heterogeneous multiscale method to study particle size and partitioning effects in drug delivery. Available at: https://www.sciencedirect.com/science/article/abs/pii/S0898122121001000 (Accessed: 9 April 2023) Climent, E, Benaiges, D, Pedro-Botet, J. (20 May 2021) Hydrophilic or Lipophilic Statins? Available at: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8172607/#:~:text=The%20classification%20of %20drugs%20as,is%20greater%20in%20hydrophilic%20medications (Accessed: 9 April 2023) Grumezescu, A.M. (2018) Drug Targeting and Stimuli Sensitive Drug Delivery Systems. Available at: https://www.sciencedirect.com/book/9780128136898/drug-targeting-and-stimulisensitive-drug-delivery-systems (Downloaded: 9 April 2023) Islam, M.A., Barua, S. & Barua, D. A. (25 November 2017). Multiscale modeling study of particle size effects on the tissue penetration efficacy of drug-delivery nanoparticles. Available at: https://bmcsystbiol.biomedcentral.com/articles/10.1186/s12918-017-0491-4#citeas (Accessed: 9 April 2023) Chingunpituk J. Particle size effect on the solubility and bioavailability of poorly soluble drugs: theory and practice. Eur J Pharm Sci. 2016 Feb 15;89:181-94. doi: 10.1016/j.ejps.2016.04.014. Epub 2016 Apr 16. PMID: 27091283. Gao L, Zhang D, Chen M. Drug nanocrystals for the formulation of poorly soluble drugs and its application as a potential drug delivery system. J Nanopart Res. 2008;10(5):845-62. doi: 10.1007/s11051-007-9309-9. Epub 2008 Jan 29. PMID: 18769649; PMCID: PMC2564352. Nel A, Xia T, Mädler L, Li N. Toxic potential of materials at the nanolevel. Science. 2006 Jan 20;311(5761):622-7. doi: 10.1126/science.1114397. PMID: 16456071. Abdelbary, G. A., El-Gendy, N. A., & Youssef, A. M. (2012). Nanoparticles for enhancement of oral bioavailability of tadalafil: preparation and in vitro and in vivo evaluation. International Journal of Nanomedicine, 7, 3027–3038. 8 Du J, Tang H, Zhang X, Jing X. Chapter 2 - Emulsions for Drug Delivery. In: Grumezescu AM, editor. Emulsions. William Andrew Publishing; 2016. p. 25-64. Mohsin K, Shahba AA, Alanazi FK. Development of controlled release lipid-based nanoparticles of pentoxifylline by Box-Behnken design for the management of peripheral arterial occlusive disease. A Abdelbary, G. A., El-Gendy, N. A., & Youssef, A. M. (2012). Nanoparticles for enhancement of oral bioavailability of tadalafil: preparation and in vitro and in vivo evaluation. International Journal of Nanomedicine, 7, 3027–3038. https://doi.org/10.2147/ijn.s33394 Chen, Y., Liu, X., Wang, Y., Liu, X., Zhao, M., Zhou, X., … Wu, Y. (2019). The influence of partition coefficient on the pharmacokinetics and analgesic efficacy of ibuprofen. European Journal of Pharmaceutical Sciences, 137, 104985. https://doi.org/10.1016/j.ejps.2019.104985 Su, P., Li, S., Chen, S., Li, H., Zhu, L., Xu, X., Wang, Y., Guo, L., Huang, J., Zhao, J., … Zhang, Z. (2019). Liposomes containing cholesterol and sphingomyelin enhance the pharmacokinetic profile and anti-tumor efficacy of vinorelbine. International Journal of Pharmaceutics, 556, 82–90. Zhang, Y., He, X., Zhou, J., Zhang, Y., & Li, J. (2020). Combined effects of particle size and partition coefficient on the oral bioavailability of baicalin nanocrystals with different surface modifications. International Journal of Nanomedicine, 15, 4177–4188. Mallikarjuna Rao, Kishore Kumar, M., & Malla Reddy, C. (2011). A review on partition coefficient and its determination methods. Der Pharmacia Lettre, 3(2), 267-276. Huang, Y., Li, X., Li, Y., Li, H., & Li, G. (2018). Determination of the octanol/water partition coefficient (logP) of triclosan by HPLC. Journal of Chemistry, 2018, 1-6. Chen, X., Chen, Y., Wu, J., Li, Y., Hu, H., Liu, Y., ... & Li, W. (2018). Preparation of braintargeting rivastigmine-loaded solid lipid nanoparticles by co-grinding and ultrasonication method. Colloids and Surfaces B: Biointerfaces, 162, 305-311. Huile, G., Shu, C., & Jiang, Q. (2016). The blood-brain barrier (BBB) permeability in Alzheimer's disease (AD) and the delivery of drugs to the brain. Asian Journal of Pharmaceutical Sciences, 11(3), 303-312. Kuo, Y. C., Lin, C. H., & Chen, C. C. (2017). Evaluation of blood-brain barrier permeability using in vivo perfusion techniques: Quantitative analysis and determination of cutoff size. BioMed Research International, 2017, 1-9. Abbott, N. J., Patabendige, A. A., Dolman, D. E., Yusof, S. R., & Begley, D. J. (2010). Structure and function of the blood-brain barrier. Neurobiology of Disease, 37(1), 13-25. Bhushan, B., & Prajapati, R. (2017). Particle size analysis in pharmaceutical manufacturing process. Journal of Pharmaceutical Research and Clinical Practice, 1(1), 9 Comments of Group B: The students have explained the partitioning coefficient and particle size in drug delivery in a simple yet accurate way and have given real life examples. However, one thing it would greatly benefit from is the addition of more than one biological barrier in the introduction. Moreover, more details are needed about emulsions and the active sites in the discussion. 10