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      Insights from mathematical modeling for convection-enhanced intraputamenal delivery of GDNF

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          Abstract

          Glial cell line-derived neurotrophic factor (GDNF) is a potential therapy for Parkinson’s disease (PD) promoting survival and functional recovery of dopaminergic neurons when delivered to the degenerated striatum. To study the aspects of intraputamenal delivery of GDNF, a mathematical model of recombinant methionyl human GDNF (r-metHuGDNF) convection in the human putamen has been developed. The convection-enhanced delivery infusions of r-metHuGDNF were simulated at rates up to 5 μL/min. The high-rate infusions (≥1 μL/min) permit rapid and uniform distribution of drug with up to 75% of the distribution volume having a concentration within 5% of the infusate concentration. No relevant differences in distribution at infusion rates of 3 and 5 μL/min were found. The patterns of GDNF distribution were analyzed in relation to the anatomy of the posterior dorsal putamen, and a cylindrical shape was found to be preferable considering risks of target overflow. A magnetic resonance (MR) tracer Gd-DTPA (Magnevist®) was evaluated as a surrogate in clinical studies, and the most accurate prediction of GDNF distribution was calculated immediately after infusion. The clearance of GDNF from the striatum is confirmed to be slow, with a half-life of ca. 19 h.

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          Most cited references20

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          Convection-enhanced delivery of macromolecules in the brain.

          For many compounds (neurotrophic factors, antibodies, growth factors, genetic vectors, enzymes) slow diffusion in the brain severely limits drug distribution and effect after direct drug administration into brain parenchyma. We investigated convection as a means to enhance the distribution of the large and small molecules 111In-labeled transferrin (111In-Tf; M(r), 80,000) and [14C]sucrose (M(r), 359) over centimeter distances by maintaining a pressure gradient during interstitial infusion into white matter to generate bulk flow through the brain interstitium. The volume of distribution (Vd) containing > or = 1% concentration of infusion solution increased linearly with the infusion volume (Vi) for 111In-Tf(Vd/Vi, 6:1) and [14C]sucrose (Vd/Vi, 13:1). Twenty-four hours after infusion, the distribution of 111In-Tf was increased and more homogeneous, and penetration into gray matter had occurred. By using convection to supplement simple diffusion, enhanced distribution of large and small molecules can be obtained in the brain while achieving drug concentrations orders of magnitude greater than systemic levels.
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            Protection and repair of the nigrostriatal dopaminergic system by GDNF in vivo.

            Glial-cell-line-derived neurotrophic factor (GDNF), a recently cloned new member of the transforming growth factor-beta superfamily, promotes survival of cultured fetal mesencephalic dopamine neurons and is expressed in the developing striatum. There have, however, been no reports about effects of GDNF in situ. We have used the dopaminergic neurotoxin 1-methyl-4-phenyl-1,2,3,6-tetrahydropyridine (MPTP), which produces parkinsonian symptoms in man, to determine whether GDNF might exert protective or regenerative effects in vivo in the adult nigrostriatal dopamine system in C57/B1 mice. GDNF injected over the substantia nigra or in striatum before MPTP potently protects the dopamine system, as shown by numbers of mesencephalic dopamine nerve cell bodies, dopamine nerve terminal densities and dopamine levels. When GDNF is given after MPTP, dopamine levels and fibre densities are significantly restored. In both cases, motor behaviour is increased above normal levels. We conclude that intracerebral GDNF administration exerts both protective and reparative effects on the nigrostriatal dopamine system, which may have implications for the development of new treatment strategies for Parkinson's disease.
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              Diffusion of macromolecules in the brain: implications for drug delivery.

              Therapeutics must diffuse through the brain extracellular space (ECS) in order to distribute within the central nervous system (CNS) compartment; this requirement holds both for drugs that are directly placed within the CNS (i.e., central input) and for drugs that cross the barriers separating blood and brain following systemic administration. The diffusion of any substance within the CNS may be affected by a number of properties associated with the brain microenvironment, e.g., the volume fraction, geometry, width, and local viscosity of the ECS, as well as interactions with cell surfaces, the extracellular matrix, and components of the interstitial fluid. Here, we discuss ECS properties important in governing the distribution of macromolecules (e.g., antibodies and other protein therapeutics), nanoparticles and viral vectors within the CNS. We also provide an introduction to some of the methods commonly applied to measure diffusion of molecules in the brain ECS, with a particular emphasis on those used for determining the diffusion properties of macromolecules. Finally, we discuss how quantitative diffusion measurements can be used to better understand and potentially even improve upon CNS drug delivery by modeling delivery within and across species, screening drugs and drug conjugates, evaluating methods for altering drug distribution, and appreciating important changes in drug distribution that may occur with CNS disease or injury.
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                Author and article information

                Contributors
                +1.617.674.7173 , elena.belova@pfizer.com
                Journal
                Med Biol Eng Comput
                Med Biol Eng Comput
                Medical & Biological Engineering & Computing
                Springer Berlin Heidelberg (Berlin/Heidelberg )
                0140-0118
                1741-0444
                11 May 2017
                11 May 2017
                2017
                : 55
                : 12
                : 2069-2077
                Affiliations
                ISNI 0000 0000 8800 7493, GRID grid.410513.2, Worldwide Research & Development, , Pfizer Inc., ; 1 Portland Street, Cambridge, MA 02139 USA
                Article
                1650
                10.1007/s11517-017-1650-x
                5680405
                28493093
                35cd4011-3535-43dc-83fd-f5b73e4e6ff0
                © The Author(s) 2017

                Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

                History
                : 22 September 2016
                : 18 April 2017
                Categories
                Original Article
                Custom metadata
                © International Federation for Medical and Biological Engineering 2017

                Biomedical engineering
                convection-enhanced delivery (ced),central nervous system (cns),neurotrophic factor,intraparenchymal infusion,computational model

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