Abstract

Emissions reduction has emerged as one of the principal targets in the planning and designing of road alignment today, and intelligent design methods can help optimize road alignment as a response toward more sustainable road infrastructures. The largest share of emissions in road transport occurs in the use phase; hence, considering vehicles’ behavior already in the early stages of the planning process is crucial. This study compares earthwork costs, fuel costs, and tank-to-wheel emissions of alternative road vertical alignments using a spline linear programming (LP) optimization method. The traditional minimal earthwork cost model is tailored and augmented with a fuel item to account for vehicle fuel costs. Three options are considered, including an earthwork-based (EW) optimal road alignment, a balanced earthwork-and-fuel cost (EW-FC) optimal alignment, and a minimal fuel cost (FC) alignment. Calculations are done for a reference test heavy-duty vehicle assumed to operate at uniform speed. The results exhibited that, although leading to some increase in earthwork costs, a design for balanced EW-FC cost yields substantial fuel budget and related emissions savings.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors would like to thank the Norwegian Public Roads Administration (NPRA), under the framework of the Ferry-free Coastal Highway E39, for funding this research. The same consideration is directed to the NTNU, whose facilities were constantly used for conducting this research.

References

Ahn, K., H. Rakha, A. Trani, and M. Van Aerde. 2002. “Estimating vehicle fuel consumption and emissions based on instantaneous speed and acceleration levels.” J. Transp. Eng. 128 (2): 182–190. https://doi.org/10.1061/(ASCE)0733-947X(2002)128:2(182).
Akbarian, M., S. Moeini-Ardakani, F.-J. Ulm, and M. Nazzal. 2012. “Mechanistic approach to pavement-vehicle interaction and its impact on life-cycle assessment.” Transp. Res. Rec. 2306 (1): 171–179. https://doi.org/10.3141/2306-20.
Aljohani, M. S., and A. A. Moreb. 2003. “Roadway profile modeled by polynomials to minimize earthwork cost.” Trans. Math. 2 (3): 210–213.
Amin, M. S. R., U. Tamima, and L. Amador Jimenez. 2017. “Understanding air pollution from induced traffic during and after the construction of a new highway: Case study of highway 25 in Montreal.” J. Adv. Transp. 2017: 14. https://doi.org/10.1155/2017/5161308.
Athanassoulis, G., and V. Calogero. 1973. “Optimal location of a new highway from A to B–A computer technique for route planning.” In Proc., PTRC Seminar on Cost Models and Optimization in Highway (Session L9). England, UK: WIT Press.
Bjorn, D., and B. Mazijn. 2012. Manuel pour l’utilisation de l’analyse des coûts du cycle de vie (ACCV) dans les marchés publics (durables). Gent, Belgium: Ghent Univ.
Central Vehicle Register. 2017. Registered vehicles. Oslo, Norway: Norwegian Public Roads Administration.
Chang, D. J., and E. K. Morlok. 2005. “Vehicle speed profiles to minimize work and fuel consumption.” J. Transp. Eng. 131 (3): 173–182. https://doi.org/10.1061/(ASCE)0733-947X(2005)131:3(173).
Chapra, S. C., and R. Canale. 2001. Numerical methods for engineers: With software and programming applications. New York: McGraw-Hill.
Cheng, J.-F., and Y. Lee. 2006. “Model for three-dimensional highway alignment.” J. Transp. Eng. 132 (12): 913–920. https://doi.org/10.1061/(ASCE)0733-947X(2006)132:12(913).
Chin, A. T. H. 1996. “Containing air pollution and traffic congestion: Transport policy and the environment in Singapore.” Atmos. Environ. 30 (5): 787–801. https://doi.org/10.1016/1352-2310(95)00173-5.
Danielis, R., and A. Chiabai. 1998. “Estimating the cost of air pollution from road transport in Italy.” Transp. Res. Part D 3 (4): 249–258. https://doi.org/10.1016/S1361-9209(98)00004-2.
Devesa, A., and T. Indinger. 2012. “Fuel consumption reduction by geometry variations on a generic tractor-trailer configuration.” Int. J. Commer. Veh. 5 (1): 18–28. https://doi.org/10.4271/2012-01-0105.
Dimoula, V., F. Kehagia, and A. Tsakalidis. 2016. “A Holistic approach for estimating carbon emissions of road and rail transport systems.” Aerosol Air Qual. Res. 16 (1): 61–68. https://doi.org/10.4209/aaqr.2015.05.0313.
Easa, S. M. 1988. “Selection of roadway grades that minimize earthwork cost using linear programming.” Transp. Res. Part A 22 (2): 121–136. https://doi.org/10.1016/0191-2607(88)90024-6.
Easa, S. M., and A. Mehmood. 2008. “Optimizing design of highway horizontal alignments: New substantive safety approach.” Comput. Aided Civ. Infrastruct. Eng. 23 (7): 560–573. https://doi.org/10.1111/j.1467-8667.2008.00560.x.
Ercan, T., Y. Zhao, O. Tatari, and J. A. Pazour. 2015. “Optimization of transit bus fleet’s life cycle assessment impacts with alternative fuel options.” Energy 93 (Dec): 323–334. https://doi.org/10.1016/j.energy.2015.09.018.
Ericsson, E., H. Larsson, and K. Brundell-Freij. 2006. “Optimizing route choice for lowest fuel consumption—Potential effects of a new driver support tool.” Transp. Res. Part C 14 (6): 369–383. https://doi.org/10.1016/j.trc.2006.10.001.
Eriksson, E., G. Lövgren, and M. Blinge. 1996. “Life cycle assessment of the road transport sector.” Sci. Total Environ. 189–190 (Oct): 69–76.
European Commission. 2018. Road transport: Reducing CO2 emissions from vehicles. Brussels, Belgium: European Commission.
Façanha, C., K. Blumberg, and J. Miller. 2012. Global transportation energy and climate roadmap. Washington, DC: International Council for Clean Transportation.
Fonseca, C. I., O. J. Salcedo Parra, and B. S. Reyes Daza. 2017. Intelligent road design using artificial intelligence techniques, 166–177. Berlin: Springer.
Fontaras, G., T. Grigoratos, D. Savvidis, K. Anagnostopoulos, R. Luz, M. Rexeis, and S. Hausberger. 2016. “An experimental evaluation of the methodology proposed for the monitoring and certification of CO2 emissions from heavy-duty vehicles in Europe.” Energy 102 (May): 354–364. https://doi.org/10.1016/j.energy.2016.02.076.
Fuels Europe. 2017. Refining products for our everyday life. Edited by John Copper. Brussels, Belgium: Fuels Europe.
Fwa, T., W. Chan, and Y. Sim. 2002. “Optimal vertical alignment analysis for highway design.” J. Transp. Eng. 128 (5): 395–402. https://doi.org/10.1061/(ASCE)0733-947X(2002)128:5(395).
Ghanizadeh, A. R., and N. Heidarabadizadeh. 2018. “Optimization of vertical alignment of highways in terms of earthwork cost using colliding bodies optimization algorithm.” Int. J. Optim. Civ. Eng. 8 (4): 657–674.
Goh, C. J., E. P. Chew, and T. F. Fwa. 1988. “Discrete and continuous models for computation of optimal vertical highway alignment.” Transp. Res. Part B 22 (6): 399–409. https://doi.org/10.1016/0191-2615(88)90021-5.
Goh, C. J., and K. L. Teo. 1988. “Control parametrization: A unified approach to optimal control problems with general constraints.” Automatica 24 (1): 3–18. https://doi.org/10.1016/0005-1098(88)90003-9.
Goktepe, A. B., A. H. Lav, and S. Altun. 2005. “Dynamic optimization algorithm for vertical alignment of highways.” Math. Comput. Appl. 10 (3): 341–350. https://doi.org/10.3390/mca10030341.
Goktepe, A. B., A. H. Lav, and S. Altun. 2009a. “Method for optimal vertical alignment of highways.” Proc. Inst. Civ. Eng. Transp. 162 (4): 177–188. https://doi.org/10.1680/tran.2009.162.4.177.
Göktepe, A. B., S. Altun, and P. Ahmedzade. 2009b. “Optimization of vertical alignment of highways utilizing discrete dynamic programming and weighted ground line.” Turk. J. Eng. Environ. Sci. 33 (2): 105–116.
Gomaa, M., A. J. Alimin, and K. A. Kamaruddin. 2011. “Trade-off between NOx, soot and EGR rates for an IDI diesel engine fuelled with JB5.” J. Appl. Sci. 11 (11): 1987–1993. https://doi.org/10.3923/jas.2011.1987.1993.
Hare, W., S. Hossain, Y. Lucet, and F. Rahman. 2014. “Models and strategies for efficiently determining an optimal vertical alignment of roads.” Comput. Oper. Res. 44 (Apr): 161–173. https://doi.org/10.1016/j.cor.2013.11.005.
Hogan, J. 1973. “Experience with OPTLOC optimum location of highways by computer.” In Proc., PTRC Seminar on Cost Models and Optimization in Highways (Session L10). England, UK: WIT Press.
Howard, B., Z. Bramnick, and J. Shaw. 1969. “Optimum curvature principle in highway routing.” J. Highway Div. 94 (HW1): 61–82.
Huang, L., R. Bohne, A. Bruland, P. Jakobsen, and J. Lohne. 2015. “Life cycle assessment of Norwegian road tunnel.” Int. J. Life Cycle Assess. 20 (2): 174–184. https://doi.org/10.1007/s11367-014-0823-1.
Hussein, T., C. Johansson, H. Karlsson, and H.-C. Hansson. 2008. “Factors affecting non-tailpipe aerosol particle emissions from paved roads: On-road measurements in Stockholm, Sweden.” Atmos. Environ. 42 (4): 688–702. https://doi.org/10.1016/j.atmosenv.2007.09.064.
Ibrahim, S. E., T. Sayed, and K. Ismail. 2012. “Methodology for safety optimization of highway cross-sections for horizontal curves with restricted sight distance.” Accid. Anal. Prev. 49 (Nov): 476–485. https://doi.org/10.1016/j.aap.2012.03.016.
Inazumi, S., H. Ohtsu, T. Katsumi, and H. Arizono. 2009. “Environmental impact assessment of infrastructures and its application on subway improvement projects in Bangkok.” Doboku Gakkai Ronbunshuu 65 (3): 313–325. https://doi.org/10.2208/jscejf.65.313.
Jha, M., and P. Schonfeld. 2000. “Integrating genetic algorithms and geographic information system to optimize highway alignments.” Transp. Res. Rec. 1719 (1): 233–240. https://doi.org/10.3141/1719-31.
Jha, M., P. Schonfeld, J. Jong, and E. Kim. 2006a. Intelligent road design. Boston: WIT Press.
Jha, M. K. 2000. “A geographic information systems-based model for highway design optimization.” Doctoral dissertation, College Park, MD: Univ. of Maryland.
Jha, M. K., M. K. Jha, P. M. Schonfeld, and J. C. Jong. 2006b. Intelligent road design. Southampton, Boston: WIT Press.
Jha, M. K., and P. Schonfeld. 2004. “A highway alignment optimization model using geographic information systems.” Transp. Res. Part A 38 (6): 455–481.
Jian-xin, C., and L. Qing. 2011. “Research on cost-oriented modeling and optimization for highway alignment.” Procedia Eng. 15 (Jan): 3931–3935. https://doi.org/10.1016/j.proeng.2011.08.736.
Jiao, X., and M. Bienvenu. 2016. “The influence of pavement-vehicle interaction on highway fuel consumption by field measurement.” Transport 31 (2): 202–210. https://doi.org/10.3846/16484142.2016.1193048.
Jong, J.-C. 1998. Optimizing highway alignments with genetic algorithms. College Park, MD: Univ. of Maryland.
Jong, J.-C., and P. Schonfeld. 1999. “Cost functions for optimizing highway alignments.” Transp. Res. Rec. 1659 (1): 58–67. https://doi.org/10.3141/1659-08.
Jullien, A., M. Dauvergne, and C. Proust. 2015. “Road LCA: The dedicated ECORCE tool and database.” Int. J. Life Cycle Assess. 20 (5): 655–670. https://doi.org/10.1007/s11367-015-0858-y.
Kang, M.-W., M. K. Jha, and P. Schonfeld. 2012. “Applicability of highway alignment optimization models.” Transp. Res. Part C 21 (1): 257–286. https://doi.org/10.1016/j.trc.2011.09.006.
Kang, M.-W., S. Shariat, and M. K. Jha. 2013. “New highway geometric design methods for minimizing vehicular fuel consumption and improving safety.” Trans. Res. Part C 31 (Jun): 99–111.
Ken, G., M. Barbara, and N. Steve. 1998. “Green purchasing and supply policies: Do they improve companies’ environmental performance?” Supply Chain Manage. 3 (2): 89–95. https://doi.org/10.1108/13598549810215405.
Koch, V. R., and Y. Lucet. 2010. “A note on: Spline technique for modeling roadway profile to minimize earthwork cost.” J. Ind. Manage. Optim. 6 (2): 393–400. https://doi.org/10.3934/jimo.2010.6.393.
Liljenström, C., S. Miliutenko, and A. Björklund. 2013. Life cycle assessment in early planning of road infrastructure: Application of the LICCER-model. Stockholm, Sweden: School of Architecture and the Built Environment, KTH Royal Institute of Technology.
Mayer, R. H., and R. M. Stark. 1981. “Earthmoving logistics.” J. Constr. Div. 107 (2): 297–312.
Miliutenko, S., 2012. “Life cycle impacts of road infrastructure: Assessment of energy use and greenhouse gas emissions.”, School of Architecture and the Built Environment, KTH Royal Institute of Technology.
Miliutenko, S., I. Kluts, K. Lundberg, S. Toller, H. Brattebø, H. Birgisdóttir, and J. Potting. 2014. “Consideration of life cycle energy use and greenhouse gas emissions in road infrastructure planning processes: Examples of Sweden, Norway, Denmark and the Netherlands.” J. Environ. Assess. Policy Manage. 16 (4): 1450038. https://doi.org/10.1142/S1464333214500380.
Moavenzadeh, F., and M. Becker. 1973. Highway cost model operating instructions and program documentation. Cambridge, MA: Massachusetts Institute of Technology.
Mol, A. P. J., and G. Spaargaren. 1993. “Environment, modernity and the risk-society: The apocalyptic horizon of environmental reform.” Int. Sociol. 8 (4): 431–459. https://doi.org/10.1177/026858093008004003.
Moreb, A. A. 1996. “Linear programming model for finding optimal roadway grades that minimize earthwork cost.” Eur. J. Oper. Res. 93 (1): 148–154. https://doi.org/10.1016/0377-2217(95)00095-X.
Moreb, A. A. 2009. “Spline technique for modeling roadway profile to minimize earthwork cost.” J. Ind. Manage. Optim. 5 (2): 275–283. https://doi.org/10.3934/jimo.2009.5.275.
Moreb, A. A., and M. S. Aljohani. 2004. “Quadratic representation for roadway profile that minimizes earthwork cost.” J. Syst. Sci. Syst. Eng. 13 (2): 245–252. https://doi.org/10.1007/s11518-006-0163-1.
Nicholson, A. J., D. Elms, and A. Williman. 1976. “A variational approach to optimal route location.” Ph.D. dissertation, Univ. of Canterbury.
NPRA (Norwegian Public Roads Administration). 2017. Norwegian road network data (road map). Oslo, Norway: NPRA.
Ntziachristos, L., and Z. Samaras. 2014. EMEP/EEA emission inventory guidebook 2013 Update Sept. Copenhagen, Denmark: European Environment Agency.
Ntziachristos, L., Z. Samaras, C. Kouridis, D. Hassel, I. McCrae, J. Hickman, K. Zierock, M. Keller, M. Andr, and N. Gorissen. 2010. “EMEP/CORINAIR atmospheric emissions inventory guidebook on exhaust emissions from road transport COPERT 4.” In Methodology for the calculation of exhaust emissions. Copenhagen, Denmark: European Environment Agency.
O’Born, R., H. Brattebø, O. M. Kålas Iversen, S. Miliutenko, and J. Potting. 2016. “Quantifying energy demand and greenhouse gas emissions of road infrastructure projects: An LCA case study of the Oslo fjord crossing in Norway.” Eur. J. Transp. Infrastruct. Res. 16 (3): 445–466.
Papapostolou, V., J. E. Lawrence, S. T. Ferguson, J. M. Wolfson, E. A. Diaz, J. J. Godleski, and P. Koutrakis. 2013. “Development and characterization of an exposure generation system to investigate the health effects of particles from fresh and aged traffic emissions.” Air Qual. Atmos. Health 6 (2): 419–429. https://doi.org/10.1007/s11869-012-0178-3.
Rayfield, D., J. W. S. Longhurst, P. S. Ramsden, J. A. Dinsdale, R. M. Elliott, and D. E. Conlan. 1998. “The impacts of road transport on air quality in the Greater Manchester region, UK: Policies towards a sustainable transport system.” Environmentalist 18 (1): 3–13. https://doi.org/10.1023/A:1006581000168.
Revelle, C. A., and E. E. Whitlach. 1996. Civil and environmental systems engineering. Upper Saddle River, NJ: Prentice Hall.
Rexeis, M., S. Hausberger, J. Kühlwein, and R. Luz. 2013. Update of emission factors for Euro 5 and Euro 6 vehicles for the HBEFA version 3.2. Graz, Austria: Graz Univ. of Technology.
Rodrigue, J.-P., and C. Comtois. 2017. The geography of transport systems. Abingdon, UK: Routledge.
Saha, P., and K. Ksaibati. 2016. “An optimization model for improving highway safety.” J. Traffic Transp. Eng. (English Edition) 3 (6): 549–558. https://doi.org/10.1016/j.jtte.2016.01.004.
Schacke, I. 1972. “Optimization of vertical alignment—A case study.” In Proc., Conf. on Computer Systems in Highway Design, 280–290. Copenhagen, Denmark: Royal Technical Univ.
Shaw, J. F., and B. E. Howard. 1982. “Expressway route optimization by OCP.” J. Transp. Eng. 108 (TE3): 227–243.
Simons, A. 2013. “Road transport: New life cycle inventories for fossil-fuelled passenger cars and non-exhaust emissions in Ecoinvent v3.” Int. J. Life Cycle Assess. 21 (9): 1299–1313. https://doi.org/10.1007/s11367-013-0642-9.
Thomson, N., and J. Sykes. 1988. “Route selection through a dynamic ice field using the maximum principle.” Transp. Res. Part B 22 (5): 339–356. https://doi.org/10.1016/0191-2615(88)90039-2.
Tong, H. Y., W. T. Hung, and C. S. Cheung. 2000. “On-road motor vehicle emissions and fuel consumption in urban driving conditions.” J. Air Waste Manage. Assoc. 50 (4): 543–554. https://doi.org/10.1080/10473289.2000.10464041.
Trypia, M. 1979. “Minimizing ‘cut and fill’ costs in roadmaking.” Comput.-Aided Des. 11 (6): 337–339. https://doi.org/10.1016/0010-4485(79)90034-4.
Tsita, K. G., and P. A. Pilavachi. 2017. “Decarbonizing the Greek road transport sector using alternative technologies and fuels.” Therm. Sci. Eng. Prog. 1 (Mar): 15–24. https://doi.org/10.1016/j.tsep.2017.02.003.
Vouitsis, I., L. Ntziachristos, C. Samaras, and Z. Samaras. 2017. “Particulate mass and number emission factors for road vehicles based on literature data and relevant gap filling methods.” Atmos. Environ. 168 (Nov): 75–89. https://doi.org/10.1016/j.atmosenv.2017.09.010.
Wan, F. 1995. Introduction to the calculus of variations and its applications. Boca Raton, FL: CRC Press.
Watanatada, T., W. Paterson, A. Bhandari, C. Harral, A. Dhareshwar, and K. Tsunokawa. 1987. The highway design and maintenance standards model. Washington, DC: World Bank Publication.
Whyte, K., H. E. Daly, and B. P. Ó Gallachóir. 2013. “Modelling HGV freight transport energy demand in Ireland and the impacts of the property construction bubble.” Energy 50 (Feb): 245–251. https://doi.org/10.1016/j.energy.2012.12.030.
Wyatt, D. W., H. Li, and J. E. Tate. 2014. “The impact of road grade on carbon dioxide (CO2) emission of a passenger vehicle in real-world driving.” Transp. Res. Part D 32 (Oct): 160–170. https://doi.org/10.1016/j.trd.2014.07.015.
Yang, N., M.-W. Kang, P. Schonfeld, and M. K. Jha. 2014. “Multi-objective highway alignment optimization incorporating preference information.” Transp. Res. Part C 40 (Mar): 36–48. https://doi.org/10.1016/j.trc.2013.12.010.
Yazdani Boroujeni, B., and H. C. Frey. 2014. “Road grade quantification based on global positioning system data obtained from real-world vehicle fuel use and emissions measurements.” Atmos. Environ. 85 (Mar): 179–186. https://doi.org/10.1016/j.atmosenv.2013.12.025.
Zhang, K., and H. C. Frey. 2006. “Road grade estimation for on-road vehicle emissions modeling using light detection and ranging data.” J. Air Waste Manage. Assoc. 56 (6): 777–788. https://doi.org/10.1080/10473289.2006.10464500.
Zhang, S., Y. Wu, H. Liu, R. Huang, P. Un, Y. Zhou, L. Fu, and J. Hao. 2014. “Real-world fuel consumption and CO2 (carbon dioxide) emissions by driving conditions for light-duty passenger vehicles in China.” Energy 69 (May): 247–257. https://doi.org/10.1016/j.energy.2014.02.103.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering, Part A: Systems
Journal of Transportation Engineering, Part A: Systems
Volume 146Issue 3March 2020

History

Received: Sep 4, 2018
Accepted: May 31, 2019
Published online: Dec 24, 2019
Published in print: Mar 1, 2020
Discussion open until: May 24, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, Dept. of Civil and Transport Engineering, Norwegian Univ. of Science and Technology, Høgskoleringen 7A, Trondheim 7491, Norway (corresponding author). ORCID: https://orcid.org/0000-0002-3089-117X. Email: [email protected]
Ph.D. Candidate, Dept. of Civil and Transport Engineering, Norwegian Univ. of Science and Technology, Høgskoleringen 7A, Trondheim 7491, Norway. ORCID: https://orcid.org/0000-0002-4634-4912. Email: [email protected]
Associate Professor, Dept. of Traffic Studies, NORD Univ., Wessels veg 75, Stjørdal 7502, Norway. ORCID: https://orcid.org/0000-0003-1457-0584. Email: [email protected]
Helge Brattebø, Ph.D. [email protected]
Professor, Dept. of Energy and Process Engineering, Norwegian Univ. of Science and Technology, Kolbjørn Hejes v 1B, Trondheim 7491, Norway. Email: [email protected]
Rolf A. Bohne, Ph.D. [email protected]
Professor, Dept. of Civil and Transport Engineering, Norwegian Univ. of Science and Technology, Høgskoleringen 7A, Trondheim 7491, Norway. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share