The mathematics of diffusion

Modeling and comparison of dissolution profiles

Costa, P., & Sousa Lobo, J. M. (2001) · European Journal of Pharmaceutical Sciences · doi:10.1016/s0928-0987(01)00095-1 · Cited by 5,509

Description of input and examples for PHREEQC version 3: A computer program for speciation, batch-reaction, one-dimensional transport, and inverse geochemical calculations

Parkhurst, D. L., & Appelo, C. A. J. (2013) · Techniques and Methods · doi:10.3133/tm6a43 · Cited by 3,779

Hydrogels in regenerative medicine

Slaughter, B. V., Khurshid, S. S., Fisher, O. Z., Khademhosseini, A., & Peppas, N. A. (2009) · Advanced Materials · doi:10.1002/adma.200802106 · Cited by 2,703

Dendritic spine geometry is critical for AMPA receptor expression in hippocampal CA1 pyramidal neurons

Matsuzaki, M., Ellis-Davies, G. C. R., Nemoto, T., Miyashita, Y., Iino, M., & Kasai, H. (2001) · Nature Neuroscience · doi:10.1038/nn736 · Cited by 1,563

Intranasal delivery of biologics to the central nervous system

Lochhead, J. J., & Thorne, R. G. (2012) · Advanced Drug Delivery Reviews · doi:10.1016/j.addr.2011.11.002 · Cited by 1,214

Stimulus-responsive hydrogels: theory, modern advances, and applications

Koetting, M. C., Peters, J. T., Steichen, S. D., & Peppas, N. A. (2015) · Materials Science and Engineering: R: Reports · doi:10.1016/j.mser.2015.04.001 · Cited by 1,191

Zeolites in Adsorption Processes: State of the Art and Future Prospects

Pérez-Botella, E., Valencia, S., & Rey, F. (2022) · Chemical Reviews · doi:10.1021/acs.chemrev.2c00140 · Cited by 1,126

Extracellular space structure revealed by diffusion analysis

Nicholson, C., & Syková, E. (1998) · Trends in Neurosciences · doi:10.1016/s0166-2236(98)01261-2 · Cited by 914

Supercritical Fluid Extraction of Bioactive Compounds: Fundamentals, Applications and Economic Perspectives

Pereira, C. G., & Meireles, M. A. A. (2010) · Food and Bioprocess Technology · doi:10.1007/s11947-009-0263-2 · Cited by 639

Spatial transformations of diffusion tensor magnetic resonance images

Alexander, D. C., Pierpaoli, C., Basser, P. J., & Gee, J. C. (2001) · IEEE Transactions on Medical Imaging · doi:10.1109/42.963816 · Cited by 610

Biomolecular gradients in cell culture systems

Keenan, T. M., & Folch, A. (2008) · Lab Chip · doi:10.1039/b711887b · Cited by 596

New modeling and experimental framework to characterize hindered and restricted water diffusion in brain white matter

Assaf, Y., Freidlin, R. Z., Rohde, G. K., & Basser, P. J. (2004) · Magnetic Resonance in Medicine · doi:10.1002/mrm.20274 · Cited by 519

A Tutorial on the Diffusibility and Reactivity of Free Nitric Oxide

Lancaster, J. R. (1997) · Nitric Oxide · doi:10.1006/niox.1996.0112 · Cited by 495

PLGA-based microparticles: Elucidation of mechanisms and a new, simple mathematical model quantifying drug release

Faisant, N., Siepmann, J., & Benoit, J. P. (2002) · European Journal of Pharmaceutical Sciences · doi:10.1016/s0928-0987(02)00023-4 · Cited by 346

Anomalous Diffusion in Purkinje Cell Dendrites Caused by Spines

Santamaria, F., Wils, S., De Schutter, E., & Augustine, G. J. (2006) · Neuron · doi:10.1016/j.neuron.2006.10.025 · Cited by 279

Vapor phase infiltration (VPI) for transforming polymers into organic–inorganic hybrid materials: A critical review of current progress and future challenges

Leng, C. Z., & Losego, M. D. (2017) · Materials Horizons · doi:10.1039/c7mh00196g · Cited by 224

Molecular Basis for Age-Dependent Microtubule Acetylation by Tubulin Acetyltransferase

Szyk, A., Deaconescu, A. M., Spector, J., Goodman, B., Valenstein, M. L., Ziolkowska, N. E., Kormendi, V., Grigorieff, N., & Roll-Mecak, A. (2014) · Cell · doi:10.1016/j.cell.2014.03.061 · Cited by 218

Biological energy requirements as quantitative boundary conditions for life in the subsurface

HOEHLER, T. M. (2004) · Geobiology · doi:10.1111/j.1472-4677.2004.00033.x · Cited by 219

Effective transport properties for polymer electrolyte membrane fuel cells – With a focus on the gas diffusion layer

Zamel, N., & Li, X. (2013) · Progress in Energy and Combustion Science · doi:10.1016/j.pecs.2012.07.002 · Cited by 217

Distribution of extracellular tracers in perivascular spaces of the rat brain

Ichimura, T., Fraser, P. A., & Cserr, H. F. (1991) · Brain Research · doi:10.1016/0006-8993(91)91275-6 · Cited by 215

Physical characteristics of digesta and their influence on flow and mixing in the mammalian intestine: a review

Lentle, R. G., & Janssen, P. W. M. (2008) · Journal of Comparative Physiology B · doi:10.1007/s00360-008-0264-x · Cited by 213

Preparation of highly microporous carbons from fir wood by KOH activation for adsorption of dyes and phenols from water

Wu, F.-C., Tseng, R.-L., & Juang, R.-S. (2005) · Separation and Purification Technology · doi:10.1016/j.seppur.2005.03.013 · Cited by 193

Effect of water on the oxygen barrier properties of poly(ethylene terephthalate) and polylactide films

Auras, R., Harte, B., & Selke, S. (2004) · Journal of Applied Polymer Science · doi:10.1002/app.20148 · Cited by 190

Low-Temperature Carbonate Concretions in the Martian Meteorite ALH84001: Evidence from Stable Isotopes and Mineralogy

Valley, J. W., Eiler, J. M., Graham, C. M., Gibson, E. K., Romanek, C. S., & Stolper, E. M. (1997) · Science · doi:10.1126/science.275.5306.1633 · Cited by 189

β-Lapachone-containing PEG–PLA polymer micelles as novel nanotherapeutics against NQO1-overexpressing tumor cells

Blanco, E., Bey, E. A., Dong, Y., Weinberg, B. D., Sutton, D. M., Boothman, D. A., & Gao, J. (2007) · Journal of Controlled Release · doi:10.1016/j.jconrel.2007.04.014 · Cited by 165

Concurrent solvent induced crystallization and hydrolytic degradation of PLA by water-ethanol solutions

Iñiguez-Franco, F., Auras, R., Burgess, G., Holmes, D., Fang, X., Rubino, M., & Soto-Valdez, H. (2016) · Polymer · doi:10.1016/j.polymer.2016.07.018 · Cited by 159

Reaction–diffusion theory explains hypoxia and heterogeneous growth within microbial biofilms associated with chronic infections

Stewart, P. S., Zhang, T., Xu, R., Pitts, B., Walters, M. C., Roe, F., Kikhney, J., & Moter, A. (2016) · npj Biofilms and Microbiomes · doi:10.1038/npjbiofilms.2016.12 · Cited by 157

Evidence for the Existence of a Self-Regulated Enzymatic Process Within the Human Stratum Corneum –An Unexpected Role for Urocanic Acid

Krien, P. M., & Kermici, M. (2000) · Journal of Investigative Dermatology · doi:10.1046/j.1523-1747.2000.00083.x · Cited by 151

Adsorption of CO2on Zeolite 13X and Activated Carbon with Higher Surface Area

Zhang, Z., Zhang, W., Chen, X., Xia, Q., & Li, Z. (2010) · Separation Science and Technology · doi:10.1080/01496390903571192 · Cited by 146

Formation, growth and transformation of leached layers during silicate minerals dissolution: The example of wollastonite

Schott, J., Pokrovsky, O. S., Spalla, O., Devreux, F., Gloter, A., & Mielczarski, J. A. (2012) · Geochimica et Cosmochimica Acta · doi:10.1016/j.gca.2012.09.030 · Cited by 138

Variable diffusivity homogeneous surface diffusion model and analysis of merits and fallacies of simplified adsorption kinetics equations

Inglezakis, V. J., Fyrillas, M. M., & Park, J. (2019) · Journal of Hazardous Materials · doi:10.1016/j.jhazmat.2018.12.023 · Cited by 133

Mechanism of breakaway oxidation of Fe–Cr and Fe–Cr–Ni alloys in dry and wet carbon dioxide

Gheno, T., Monceau, D., & Young, D. J. (2012) · Corrosion Science · doi:10.1016/j.corsci.2012.07.024 · Cited by 130

Altered penetration of polyethylene glycols into uninvolved skin of atopic dermatitis patients

Jakasa, I., Verberk, M. M., Esposito, M., Bos, J. D., & Kezic, S. (2007) · Journal of Investigative Dermatology · doi:10.1038/sj.jid.5700582 · Cited by 124

Molecular Dynamics Simulation of Diffusion and Electrical Conductivity in Montmorillonite Interlayers

Greathouse, J. A., Cygan, R. T., Fredrich, J. T., & Jerauld, G. R. (2016) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.5b10851 · Cited by 115

Calcium diffusion enhanced after cleavage of negatively charged components of brain extracellular matrix by chondroitinase ABC

Hrabětová, S., Masri, D., Tao, L., Xiao, F., & Nicholson, C. (2009) · The Journal of Physiology · doi:10.1113/jphysiol.2009.170092 · Cited by 113

Biosynthesis of γ-aminobutyric acid (GABA) using immobilized whole cells of Lactobacillus brevis.

Huang, J., Mei, L.-H., Wu, H., & Lin, D.-Q. (2007) · World Journal of Microbiology and Biotechnology · doi:10.1007/s11274-006-9311-5 · Cited by 107

On the cooling of a deep terrestrial magma ocean

Monteux, J., Andrault, D., & Samuel, H. (2016) · Earth and Planetary Science Letters · doi:10.1016/j.epsl.2016.05.010 · Cited by 106

Tissue electroporation: quantification and analysis of heterogeneous transport in multicellular environments

Canatella, P. J., Black, M. M., Bonnichsen, D. M., McKenna, C., & Prausnitz, M. R. (2004) · Biophysical Journal · doi:10.1016/s0006-3495(04)74374-x · Cited by 89

The link between gas diffusion and carbonation in hardened cement pastes

Dutzer, V., Dridi, W., Poyet, S., Le Bescop, P., & Bourbon, X. (2019) · Cement and Concrete Research · doi:10.1016/j.cemconres.2019.105795 · Cited by 73

Drying kinetics of pomegranate fruit peel (cv. Wonderful)

Mphahlele, R. R., Pathare, P. B., & Opara, U. L. (2019) · Scientific African · doi:10.1016/j.sciaf.2019.e00145 · Cited by 59

Perineuronal Nets in the Deep Cerebellar Nuclei Regulate GABAergic Transmission and Delay Eyeblink Conditioning

Hirono, M., Watanabe, S., Karube, F., Fujiyama, F., Kawahara, S., Nagao, S., Yanagawa, Y., & Misonou, H. (2018) · The Journal of Neuroscience · doi:10.1523/jneurosci.3238-17.2018 · Cited by 53

Role of the ammonium group in the diffusion of quaternary ammonium compounds in Streptococcus mutans biofilms

Sandt, C., Barbeau, J., Gagnon, M.-A., & Lafleur, M. (2007) · Journal of Antimicrobial Chemotherapy · doi:10.1093/jac/dkm382 · Cited by 58

Smart polymeric nanofibers for topical delivery of levothyroxine

Fathi Azarbayjani, A., Venugopal, J. R., Ramakrishna, S., Lim, F. C., Chan, Y. W., & Chan, S. Y. (2010) · Journal of Pharmacy & Pharmaceutical Sciences · doi:10.18433/j3ts3g · Cited by 56

Characterization of Water Mobility in Dry and Wetted Roasted Coffee Using Low-Field Proton Nuclear Magnetic Resonance

Mateus, M.-L., Champion, D., Liardon, R., & Voilley, A. (2007) · Journal of Food Engineering · doi:10.1016/j.jfoodeng.2006.12.015 · Cited by 40

Oxygen Vacancy Redistribution in PbZrxTi1−xO3 (PZT) under the Influence of an Electric Field

Holzlechner, G., Kastner, D., Slouka, C., Hutter, H., & Fleig, J. (2014) · Solid State Ionics · doi:10.1016/j.ssi.2013.08.027 · Cited by 40

Extraction from striped weakfish (Cynoscion striatus) wastes with pressurized CO2: Global yield, composition, kinetics and cost estimation

Aguiar, A. C., Visentainer, J. V., & Martínez, J. (2012) · The Journal of Supercritical Fluids · doi:10.1016/j.supflu.2012.07.005 · Cited by 35

Strong Base Anion Exchange Selectivity of Nine Perfluoroalkyl Chemicals Relevant to Drinking Water

Wahman, D. G., Smith, S. J., Kleiner, E. J., Abulikemu, G., Stebel, E. K., Gray, B. N., Crone, B. C., Taylor, R. D., Womack, E. A., Gastaldo, C. X., et al. (2023) · ACS ES&T Water · doi:10.1021/acsestwater.3c00396 · Cited by 30

Interaction and Release of Catechin from Anhydride Maleic-Grafted Polypropylene Films

López de Dicastillo, C., Castro-López, M. D. M., Lasagabaster, A., López-Vilariño, J. M., & González-Rodríguez, M. V. (2013) · ACS Applied Materials & Interfaces · doi:10.1021/am4003364 · Cited by 27

The effect of methacrylation on the behavior of Gum Arabic as pH-responsive matrix for colon-specific drug delivery

Gerola, A. P., Silva, D. C., Matsushita, A. F. Y., Borges, O., Rubira, A. F., Muniz, E. C., & Valente, A. J. M. (2016) · European Polymer Journal · doi:10.1016/j.eurpolymj.2016.03.041 · Cited by 26

Prehistoric settlement chronology on Rapa Nui, Chile: obsidian hydration dating using infrared photoacoustic spectroscopy

Stevenson, C. M., Ladefoged, T. N., & Novak, S. W. (2013) · Journal of Archaeological Science · doi:10.1016/j.jas.2013.03.019 · Cited by 22

The Shallow Magmatic Plumbing System of the Deccan Traps, Evidence from Plagioclase Megacrysts and Their Host Lavas

Marzoli, A., Renne, P. R., Andreasen, R., Spiess, R., Chiaradia, M., Ruth, D. C. S., Tholt, A. J., Pande, K., & Costa, F. (2022) · Journal of Petrology · doi:10.1093/petrology/egac075 · Cited by 20