{"id":180,"date":"2017-10-25T01:33:57","date_gmt":"2017-10-24T23:33:57","guid":{"rendered":"https:\/\/fhedin.com\/?page_id=180"},"modified":"2019-06-24T15:17:36","modified_gmt":"2019-06-24T13:17:36","slug":"the-partial-infinite-swapping-algorithm","status":"publish","type":"page","link":"https:\/\/fhedin.com\/?page_id=180","title":{"rendered":"The Partial Infinite Swapping Algorithm"},"content":{"rendered":"<p style=\"text-align: center;\"><strong>Performance and Free Energy Estimation for<\/strong><br \/>\n<strong>Solvated Polypeptides and Proteins Using Partial<\/strong><br \/>\n<strong>Infinite Swapping<\/strong><\/p>\n<p style=\"text-align: center;\">Download a PDF <a href=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/pins.pdf\"><strong>here<\/strong><\/a> and supplementary information <a href=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/SI.pdf\"><strong>here.<\/strong><\/a><\/p>\n<p style=\"text-align: center;\">The method is more extensively detailed in <a href=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/02\/thesis_FHedin_jan2019_edoc.pdf\">my PhD thesis<\/a>, Chapter 3<\/p>\n<p><span data-reactid=\"57\"><span class=\"text-with-line-breaks\" data-reactid=\"60\"><span class=\"Linkify\">Partial infinite swapping (PINS) is a powerful enhanced sampling method for complex systems. In the present work thermodynamic observables are determined from reweighting at the post-processing stage for folding of (Ala)_10 in implicit and explicit solvent and for Xenon migration in myoglobin.<\/span><\/span><\/span><\/p>\n<p><a href=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150406.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-355\" src=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150406-1024x642.png\" alt=\"\" width=\"640\" height=\"401\" srcset=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150406-1024x642.png 1024w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150406-300x188.png 300w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150406-768x481.png 768w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150406.png 1158w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><a href=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150425.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-356\" src=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150425-1024x710.png\" alt=\"\" width=\"640\" height=\"444\" srcset=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150425-1024x710.png 1024w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150425-300x208.png 300w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150425-768x532.png 768w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150425.png 1108w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><a href=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150519.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-357\" src=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150519-1024x854.png\" alt=\"\" width=\"640\" height=\"534\" srcset=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150519-1024x854.png 1024w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150519-300x250.png 300w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150519-768x640.png 768w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/Screenshot_20190624_150519.png 1143w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/p>\n<p><span data-reactid=\"57\"><span class=\"text-with-line-breaks\" data-reactid=\"60\"><span class=\"Linkify\">In every case free energy surfaces are determined using PINS with an accuracy comparable to Molecular Dynamics and Parallel Tempering simulations but at considerably reduced computational cost. Round trip times through the ensemble of temperature space are shown to be almost one order of magnitude shorter for PINS compared to PT simulations for (Ala)_10 in implicit solvent which suggests that PINS is more efficient for sampling diverse structures. Consistent with NMR experiments on shorter (Ala)_7 poly-alanine peptides, simulations of (Ala)_10 in explicit solvent highlight the essential role played by the environment in stabilizing extended conformations which are unfavourable in implicit solvent. Additional low-energy regions are beta-hairpins, 1 to 2 kcal\/mol above the minimum energy structure.<\/span><\/span><\/span><\/p>\n<figure id=\"attachment_361\" aria-describedby=\"caption-attachment-361\" style=\"width: 640px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/ala10_ee.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-361 size-large\" src=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/ala10_ee-1024x347.png\" alt=\"\" width=\"640\" height=\"217\" srcset=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/ala10_ee-1024x347.png 1024w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/ala10_ee-300x102.png 300w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/ala10_ee-768x260.png 768w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/ala10_ee.png 1901w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><figcaption id=\"caption-attachment-361\" class=\"wp-caption-text\">(Ala10): extended starting structure (blue), and folded structure (red) obtained after 100 ns of MD with GENBORN implicit solvent. In cyan and orange, the carbonyl carbon atoms define the end-to-end distance \u03be in \u00c5, used for following compactification and building \u2206F surfaces. The extended structure has \u03be = 31.04 \u00c5, and the \u03b1-helical structure is characterised by a \u03be = 14.13 \u00c5.<\/figcaption><\/figure>\n<figure id=\"attachment_360\" aria-describedby=\"caption-attachment-360\" style=\"width: 640px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/df_explicit_4mus_configs.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-360 size-large\" src=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/df_explicit_4mus_configs-1024x568.png\" alt=\"\" width=\"640\" height=\"355\" srcset=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/df_explicit_4mus_configs-1024x568.png 1024w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/df_explicit_4mus_configs-300x167.png 300w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/df_explicit_4mus_configs-768x426.png 768w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/df_explicit_4mus_configs.png 1124w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><figcaption id=\"caption-attachment-360\" class=\"wp-caption-text\">Free Energy as a function of \u03be for Ala10 in explicit TIP3P water from 4 \u03bcs MD simulation. The red vertical line marks the point where \u2206F = 0 kcal\/mol for \u03be = 22.75 \u00c5, i.e. the most sampled extended (non-helical) state. The 4 displayed configurations are examples of structures for which \u2206F \u2264 1 kcal\/mol.<\/figcaption><\/figure>\n<p><span data-reactid=\"57\"><span class=\"text-with-line-breaks\" data-reactid=\"60\"><span class=\"Linkify\">For Xenon migration in Myoglobin, PINS finds stabilization energies of the experimentally known Xenon-pockets to range from -4.6 to -6.2 kcal\/mol, in accord with experiment. Furthermore, the barrier heights between neighboring pockets have been determined to be ~ 4 kcal\/mol.<\/span><\/span><\/span><\/p>\n<figure id=\"attachment_346\" aria-describedby=\"caption-attachment-346\" style=\"width: 640px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/PINS_overview.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-346 size-large\" src=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/PINS_overview-1024x643.png\" alt=\"\" width=\"640\" height=\"402\" srcset=\"https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/PINS_overview-1024x643.png 1024w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/PINS_overview-300x188.png 300w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/PINS_overview-768x482.png 768w, https:\/\/fhedin.com\/wp-content\/uploads\/2019\/06\/PINS_overview.png 2011w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><figcaption id=\"caption-attachment-346\" class=\"wp-caption-text\">Left: Myoglobin with its heme functional group. Color code for the protein secondary structure is purple and blue for \u03b1 and 3-10 helices, cyan and white for turn and coil, respectively. Right: Isosurface of normalised probabilities (\u03c1 = 10\u22125 ) to find the Xe atom at a given grid point, and definition of the 4 Xe pockets. Blue surface for MD, red for PINS. Built using the 100 ns and 96 ns long simulations. For simulations starting in pocket Xe4. PINS samples pocket Xe3 not explored with conventional MD. The transition channels Xe4 &#x2194;Xe2 and Xe1&#x2194;Xe2 are also more widely sampled when using PINS than with standard MD.<\/figcaption><\/figure>\n<p><span data-reactid=\"57\"><span class=\"text-with-line-breaks\" data-reactid=\"60\"><span class=\"Linkify\">By starting simulations from individual pockets, PINS finds sampling of the entire pocket network on the time scale of 3 ns using 32 replicas whereas with MD, 100 ns are not sufficient to access all pockets. Hence, PINS with reweighting is found to be both, a quantitatively accurate and computationally efficient method for studying complex biological molecules in solution.<\/span><\/span><\/span><\/p>\n<p>See the page &#8220;<a href=\"https:\/\/fhedin.com\/?page_id=93\">Contributions to CHARMM<\/a>&#8221; for details concerning the CHARMM implementation.<\/p>\n<h4 style=\"text-align: center;\"><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>Performance and Free Energy Estimation for Solvated Polypeptides and Proteins Using Partial Infinite Swapping Download a PDF here and supplementary information here. The method is more extensively detailed in my PhD thesis, Chapter 3 Partial infinite swapping (PINS) is a powerful enhanced sampling method for complex systems. In the present work thermodynamic observables are determined &#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":63,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-180","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/fhedin.com\/index.php?rest_route=\/wp\/v2\/pages\/180","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fhedin.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fhedin.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fhedin.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fhedin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=180"}],"version-history":[{"count":9,"href":"https:\/\/fhedin.com\/index.php?rest_route=\/wp\/v2\/pages\/180\/revisions"}],"predecessor-version":[{"id":365,"href":"https:\/\/fhedin.com\/index.php?rest_route=\/wp\/v2\/pages\/180\/revisions\/365"}],"up":[{"embeddable":true,"href":"https:\/\/fhedin.com\/index.php?rest_route=\/wp\/v2\/pages\/63"}],"wp:attachment":[{"href":"https:\/\/fhedin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}