{"year":"2005","day":"08","_id":"3576","page":"243 - 275","alternative_title":["Mathematical Sciences Research Institute Publications"],"intvolume":"        52","quality_controlled":0,"date_created":"2018-12-11T12:04:03Z","date_updated":"2021-01-12T07:44:25Z","author":[{"full_name":"Herbert Edelsbrunner","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","first_name":"Herbert"},{"last_name":"Koehl","first_name":"Patrice","full_name":"Koehl, Patrice"}],"title":"The geometry of biomolecular solvation","date_published":"2005-08-08T00:00:00Z","status":"public","abstract":[{"lang":"eng","text":"ears of research in biology have established that all cellular functions are deeply connected to the shape and dynamics of their molec- ular actors. As a response, structural molecular biology has emerged as a new line of experimental research focused on revealing the structure of biomolecules. The analysis of these structures has led to the development of computational biology, whose aim is to predict from molecular simulation properties inaccessible to experimental probes.\nHere we focus on the representation of biomolecules used in these sim- ulations, and in particular on the hard sphere models. We review how the geometry of the union of such spheres is used to model their interactions with their environment, and how it has been included in simulations of molecular dynamics.\nIn parallel, we review our own developments in mathematics and com- puter science on understanding the geometry of unions of balls, and their applications in molecular simulation."}],"publication_status":"published","type":"book_chapter","publist_id":"2809","month":"08","publication":"Combinatorial and Computational Geometry","publisher":"Cambridge University Press","citation":{"ista":"Edelsbrunner H, Koehl P. 2005.The geometry of biomolecular solvation. In: Combinatorial and Computational Geometry. Mathematical Sciences Research Institute Publications, vol. 52, 243–275.","mla":"Edelsbrunner, Herbert, and Patrice Koehl. “The Geometry of Biomolecular Solvation.” <i>Combinatorial and Computational Geometry</i>, vol. 52, Cambridge University Press, 2005, pp. 243–75.","apa":"Edelsbrunner, H., &#38; Koehl, P. (2005). The geometry of biomolecular solvation. In <i>Combinatorial and Computational Geometry</i> (Vol. 52, pp. 243–275). Cambridge University Press.","ama":"Edelsbrunner H, Koehl P. The geometry of biomolecular solvation. In: <i>Combinatorial and Computational Geometry</i>. Vol 52. Cambridge University Press; 2005:243-275.","chicago":"Edelsbrunner, Herbert, and Patrice Koehl. “The Geometry of Biomolecular Solvation.” In <i>Combinatorial and Computational Geometry</i>, 52:243–75. Cambridge University Press, 2005.","short":"H. Edelsbrunner, P. Koehl, in:, Combinatorial and Computational Geometry, Cambridge University Press, 2005, pp. 243–275.","ieee":"H. Edelsbrunner and P. Koehl, “The geometry of biomolecular solvation,” in <i>Combinatorial and Computational Geometry</i>, vol. 52, Cambridge University Press, 2005, pp. 243–275."},"volume":52,"extern":1,"main_file_link":[{"url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.117.3732","open_access":"0"}]}