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zenodo48/100

Dataset for paper entitled "Folding and Bending Planar Coils for Highly Precise Soft Angle Sensing"

<p>This dataset includes all results presented in the paper entitled &quot;Folding and Bending Planar Coils for Highly Precise Soft Angle Sensing&quot;, published in Advanced Materials Technologies, vol.5, 2000659, 2020<br> DOI:&nbsp;10.1002/admt.202000659.<br> URL:<br> https://onlinelibrary.wiley.com/doi/full/10.1002/admt.202000659</p> <p>List of data in this dataset:<br> Fig.1-Theoretical Analysis and Basic characteristics.xlsx<br> Fig.2-Experimental results-Coil design.xlsx<br> Fig.3-Cyclic Bending and Folding.xlsx<br> Fig.4-Folding Angle Sensing Performance Evaluation.xlsx<br> Fig.5-Case studies.xlsx</p> <p>All the data included in this dataset were collected and processed by Dr. Hongbo Wang.</p> <p>Contact person:<br> Dr. Hongbo Wang, ustcwhb@gmail.com</p>

opencc-by-4.0Oct 2020View details →
zenodo48/100

Temperature-dependent fold-switching mechanism of the circadian clock protein KaiB

<p>Derived data accompanying publication of&nbsp;<em>Temperature-dependent fold-switching mechanism of the circadian clock protein KaiB</em> (Zhang et al., PNAS 2024).</p> <p>&nbsp;</p> <p>This dataset contains data for fold-switching of KaiB from simulations performed using the Upside coarse-grained model (Jumper et al. PLoS Comput. Bio 2017). Files contained include collective variables, kinetic quantities (committors), and initial structures used to seed unbiased simulations. These data should be sufficient recreate the analysis shown in the associated publicaion. Raw trajectory files have not been deposited due to their size; contact the author (Spencer Guo) to request.</p>

opencc-by-4.0Nov 2024View details →
zenodo48/100

The Fano 3-fold database

<p><strong>The Fano 3-fold database</strong><br> <br> This is a dataset that relates to the graded (homogeneous coordinate) rings of possible algebraic varieties: complex Fano 3-folds with Fano index 1. Each entry in this dataset records the (anticanonical) Hilbert series of a possible Fano 3-fold <span class="math-tex">\(X\)</span>, along with the result of some analysis about how <span class="math-tex">\(X\)</span> may be (anticanonically) embedded in weighted projective space <span class="math-tex">\(\mathbb{P}(w_1,w_2,\ldots,w_s)\)</span>.</p> <p>For details, see the paper [BK22], which is a companion and update to the original paper [ABR02].</p> <p>If you make use of this data, please consider citing [BK22] and the DOI for this data:</p> <p>doi:10.5281/zenodo.5820338</p> <p>The data consists of two files in key:value format, &quot;fano3.txt&quot; and &quot;matchmaker.txt&quot;. The files &quot;fano3.sql&quot; and &quot;matchmaker.sql&quot; contain the same data as the key:value files, but formatted ready for inserting in sqlite.</p> <p><em><strong>fano3.txt</strong></em></p> <p>This file contains data that relates to the graded (homogeneous coordinate) rings of possible algebraic varieties. For each entry, the essential characteristic data is the genus and basket; everything else follows (with the exception of the ID). Briefly, this essential data determines a power series, the Hilbert series, <span class="math-tex">\(\text{Hilb}(X,-K_X) = 1 + h_1t + h_2t^2 + \ldots\)</span> that can be written as a rational function of the form&nbsp;<span class="math-tex">\((\text{polynomial numerator in $t$}) / \prod_{i=1}^s(1-t^{w_i})\)</span>, where <span class="math-tex">\(w_1,w_2,\ldots,w_s\)</span>&nbsp;are positive integer&nbsp;weights.</p> <p>The data consists of 52646 entries. The 39550 stable entries (that is, with &#39;stable&#39; equal to &#39;true&#39;) are assigned an ID &#39;id&#39; in the range 1-39550. The 13096 unstable entries (that is, with &#39;stable&#39; equal to &#39;false&#39;) are assigned an ID in the range 41515-54610. IDs in the range 39551-41514 are assigned to the higher index Fano varieties, and are not included in this dataset.</p> <p><strong>Example entry</strong><br> id: 1<br> weights: 5,6,7,...,16<br> has_elephant: false<br> genus: -2<br> h1: 0<br> h2: 0<br> ...<br> h10: 4<br> numerator: t^317 - t^300 - 6*t^299 - ... + 1<br> codimension: 24<br> basket: 1/2(1,1,1),1/2(1,1,1),1/3(1,1,2),...,1/5(1,2,3)<br> basket_size: 7<br> equation_degrees: 17,18,18,...,27<br> degree: 1/60<br> k3_rank: 19<br> bogomolov: -8/15<br> kawamata: 1429/60<br> stable: true</p> <p>(Some data truncated for readability.)</p> <p><strong>Brief description of an entry</strong><br> id: a unique integer ID for this entry<br> genus: <span class="math-tex">\(h^0(X,-K_X)-2\)</span><br> basket:&nbsp;multiset of quotient singularities <span class="math-tex">\(\frac{1}{r}(f,a,-a)\)</span><br> basket_size:&nbsp;number of elements in the &#39;basket&#39;<br> k3_rank:&nbsp;<span class="math-tex">\(\sum(r-1)\)</span> taken over the &#39;basket&#39;<br> kawamata:&nbsp;<span class="math-tex">\(\sum(r-\frac{1}{r})\)</span> taken over the &#39;basket&#39;<br> bogomolov:&nbsp;sum of terms over &#39;basket&#39; relating to stability (see [BK22])<br> stable:&nbsp;true if and only if &#39;bogolomov&#39; <span class="math-tex">\(\le0\)</span><br> degree:&nbsp;anticanonical degree <span class="math-tex">\((-K_X)^3\)</span>&nbsp;of <span class="math-tex">\(X\)</span>, determined by above data (see [BK22])<br> h1,h2,...,h10: coefficients of <span class="math-tex">\(t,t^2,\ldots,t^{10}\)</span> in the Hilbert series <span class="math-tex">\(\text{Hilb}(X,-K_X)\)</span><br> weights:&nbsp;suggestion of weights <span class="math-tex">\(w_1,w_2,\ldots,w_s\)</span> for the anticanonical embedding&nbsp;<span class="math-tex">\(X\subset\mathbb{P}(w_1,w_2,\ldots,w_s)\)</span><br> numerator:&nbsp;polynomial such that the Hilbert series <span class="math-tex">\(\text{Hilb}(X,-K_X)\)</span> is given by the power series expansion of&nbsp;<span class="math-tex">\(\text{'numerator'} / \prod_{i=1}^s(1-t^{w_i})\)</span>,&nbsp;where the <span class="math-tex">\(w_i\)</span> in the denominator range over the &#39;weights&#39;<br> codimension: the codimension of <span class="math-tex">\(X\)</span> in the suggested embedding, equal to <span class="math-tex">\(s - 4\)</span><br> has_elephant: true if and only if <span class="math-tex">\(h_1 &gt; 0\)</span></p> <p><strong><em>matchmaker.txt</em></strong><br> <br> This file contains a set of pairs of IDs, in each case one from the canonical toric Fano classification [Kas10,toric] and one from &quot;fano3.txt&quot;. The meaning is that the Hilbert series of the two agree, and this file contains all such agreeing pairs.</p> <p><strong>Example entry</strong><br> toric_id: 1<br> fano3_id: 27334</p> <p><strong>Brief description of an entry</strong><br> toric_id:&nbsp;integer ID in the range 1-674688, corresponding to an &#39;id&#39; from canonical toric Fano dataset&nbsp;[Kas10,toric]<br> fano3_id:&nbsp;an integer ID in the range 1-39550 or 41515-54610, corresponding to an &#39;id&#39; from &quot;fano3.txt&quot;</p> <p><br> <em><strong>fano3.sql&nbsp;</strong></em><strong>and&nbsp;<em>matchmaker.sql</em></strong><br> <br> The files &quot;fano3.sql&quot; and &quot;matchmaker.sql&quot; contain sqlite-formatted versions of the data described above, and can be imported into an sqlite database via, for example:</p> <pre><code class="language-bash">$ cat fano3.sql matchmaker.sql | sqlite3 fano3.db</code></pre> <p>This can then be easily queried. For example:</p> <pre><code class="language-bash">$ sqlite3 fano3.db &gt; SELECT id FROM fano3 WHERE degree = 72 AND stable IS TRUE; 39550 &gt; SELECT toric_id FROM fano3totoricf3c WHERE fano3_id = 39550; 547334 547377</code></pre> <p>&nbsp;</p> <p><strong>References</strong></p> <p>[ABR02] Selma Altinok, Gavin Brown, and Miles Reid, &quot;Fano 3-folds, K3 surfaces and graded rings&quot;, in <em>Topology and geometry: commemorating SISTAG</em>, volume 314 of <em>Contemp. Math.</em>, pages 25-53. Amer. Math. Soc., Providence, RI, 2002.<br> [BK22] Gavin Brown and Alexander Kasprzyk, &quot;Kawamata boundedness for Fano threefolds and the Graded Ring Database&quot;, 2022.<br> [Kas10] Alexander Kasprzyk, &quot;Canonical toric Fano threefolds&quot;, <em>Canadian Journal of Mathematics</em>, 62(6), 1293-1309, 2010.<br> [toric] Alexander Kasprzyk, &quot;The classification of toric canonical Fano 3-folds&quot;, <em>Zenodo</em>, doi:10.5281/zenodo.5866330</p> <p>&nbsp;</p>

opencc-zeroJan 2022View details →
zenodo48/100

The classification of toric canonical Fano 3-folds

<p><strong>The classification of toric canonical Fano 3-folds</strong></p> <p>This dataset describes the classification of all toric canonical Fano 3-folds [1]. Equivalently, it describes the classification of all 3-dimensional convex lattice polytopes with exactly one interior lattice point.</p> <p>A toric Fano 3-fold <span class="math-tex">\(X\)</span>&nbsp;(that is, a 3-dimensional toric variety with ample anticanonical divisor <span class="math-tex">\(-K\)</span>) with at worst canonical singularities corresponds to a 3-dimensional convex polytope <span class="math-tex">\(P\)</span> with vertices that are primitive integer vectors, and such that <span class="math-tex">\(P\)</span> contains exactly one lattice point, the origin, in its strict interior. The fan of <span class="math-tex">\(X\)</span> is given by the spanning fan of <span class="math-tex">\(P\)</span>: that is, the fan whose cones are spanned by the faces of <span class="math-tex">\(P\)</span>. In the language of toric geometry, <span class="math-tex">\(P\)</span> is in the lattice <span class="math-tex">\(N \cong \mathbb{Z}^3\)</span>. Since two polytopes which are equal after a lattice change of basis give rise to isomorphic toric varieties, a polytope is regarded as being defined only up to the action of <span class="math-tex">\(\mathrm{GL}(\mathbb{Z}^3)\)</span>. There are 674688 isomorphism classes.</p> <p>For details, see the paper [1]. If you make use of this data, please consider citing [1] and the DOI for this data:</p> <p>doi:10.5281/zenodo.5866330</p> <p><strong>toricf3c.txt</strong></p> <p>The file &quot;toricf3c.txt&quot; contains key:value records with keys and values as described below, where each record is separated by a blank line. Each key:value record determines a toric Fano 3-fold <span class="math-tex">\(X\)</span>, or equivalently a lattice polytope <span class="math-tex">\(P\)</span>, in the classification. There are 674688 records in the file.</p> <p><strong>Example record</strong></p> <p>id: 1<br> num_vertices: 16<br> num_faces: 10<br> num_points: 22<br> is_terminal: false<br> is_simplicial: false<br> is_regular: false<br> is_reflexive: false<br> vertex_list: [[2,1,1],[-1,0,-1],[-2,-1,-1],[0,1,1],[0,-1,-1],[0,-1,-2],[-2,-1,0],[0,1,0],[2,1,2],[-1,0,1],[1,1,2],[1,0,1],[1,1,0],[1,0,-1],[-1,-1,0],[-1,-1,-2]]<br> point_list: [[2,1,1],[-1,0,-1],[-2,-1,-1],[0,1,1],[0,-1,-1],[0,0,-1],[0,-1,-2],[-1,0,0],[-2,-1,0],[1,0,0],[0,1,0],[0,0,1],[-1,-1,-1],[2,1,2],[1,1,1],[-1,0,1],[1,1,2],[1,0,1],[1,1,0],[1,0,-1],[-1,-1,0],[-1,-1,-2]]<br> dual_list: [[0,-1,1],[0,-1,0],[1,-1,0],[-1,1,0],[0,1,0],[0,1,-1],[1/2,-1/2,-1/2],[-1/2,-1/2,1/2],[-1/2,3/2,-1/2],[1/2,-1/2,1/2]]<br> ehrhart_delta: [1,19,23,1]<br> hilbert_delta: [1,7,25,47,47,25,7,1]<br> normal_form: [[1,0,0],[0,1,0],[1,1,2],[0,-1,-2],[-1,0,-2],[1,-1,0],[-1,1,0],[1,0,2],[0,1,2],[-1,-1,-2],[0,-1,0],[-1,0,0],[-1,1,1],[1,1,1],[-1,-1,-3],[1,-1,1]]<br> volume: 44<br> degree: 10<br> gorenstein_index: 2<br> h1: 7<br> h2: 29<br> h3: 75<br> h4: 157<br> h5: 283<br> h6: 465<br> h7: 711<br> h8: 1033<br> h9: 1439<br> h10: 1941<br> e1: 23<br> e2: 109<br> e3: 303<br> e4: 649<br> e5: 1191<br> e6: 1973<br> e7: 3039<br> e8: 4433<br> e9: 6199<br> e10: 8381<br> picard_rank: 1<br> automorphism_order: 24<br> is_barycentre_zero: true<br> is_dual_barycentre_zero: true</p> <p>We fix some notation. Let:</p> <ul> <li><span class="math-tex">\(N \cong \mathbb{Z}^3\)</span>be a lattice of rank 3;</li> <li><span class="math-tex">\(P\)</span>&nbsp;denote the lattice polytope in <span class="math-tex">\(N_\mathbb{Q}=N\otimes_\mathbb{Z}\mathbb{Q}\)</span> defined by the key:value record;</li> <li><span class="math-tex">\(F\)</span> denote the spanning fan in N of P;</li> <li><span class="math-tex">\(X\)</span> denote the toric Fano 3-fold corresponding to <span class="math-tex">\(F\)</span>;</li> <li><span class="math-tex">\(M = \mathrm{Hom}(N,\mathbb{Z})\cong\mathbb{Z}^3\)</span>&nbsp;denote the lattice dual to <span class="math-tex">\(N\)</span>;</li> <li><span class="math-tex">\(P^*\)</span> denote the (rational) polytope in <span class="math-tex">\(M_\mathbb{Q}\)</span> dual to <span class="math-tex">\(P\)</span> (also called the polar polytope);</li> <li><span class="math-tex">\(-K\)</span>&nbsp;denote the anticanonical divisor of&nbsp;<span class="math-tex">\(X\)</span>.</li> </ul> <p>The keys and values are as follows.</p> <p>id: A unique integer ID for this record, in the range 1 to 674688.<br> num_vertices: A positive integer. The number of vertices <span class="math-tex">\(\#\mathrm{vert}(P)\)</span> of&nbsp;<span class="math-tex">\(P\)</span>. Equivalently, the number of rays of <span class="math-tex">\(F\)</span>. By duality this is also equal to the number of 2-dimensional faces of <span class="math-tex">\(P^*\)</span>.<br> num_faces: A positive integer. The number of 2-dimensional faces of <span class="math-tex">\(P\)</span>. Equivalently, the number of top-dimensional cones of <span class="math-tex">\(F\)</span>. By duality this is also equal to the number of vertices of <span class="math-tex">\(P^*\)</span>.<br> num_points: A positive integer. The number of lattice points <span class="math-tex">\(\#(P \cap N)\)</span>.<br> is_terminal: A boolean. True if and only if <span class="math-tex">\(X\)</span> has at worst terminal singularities. Equivalently, true if and only if the only lattice points on the boundary of <span class="math-tex">\(P\)</span> are the vertices of <span class="math-tex">\(P\)</span>; that is, <span class="math-tex">\(P \cap N = \mathrm{vert}(P) \cup \{0\}\)</span>.<br> is_simplicial: A boolean. True if and only if <span class="math-tex">\(P\)</span> is simplicial. Equivalently, true if and only if <span class="math-tex">\(X\)</span> is <span class="math-tex">\(\mathbb{Q}\)</span>-factorial. By duality, this is true if and only if <span class="math-tex">\(P^*\)</span> is simple.<br> is_regular: A boolean. True if and only if <span class="math-tex">\(X\)</span> is smooth. Equivalently, true if and only if every 2-dimensional face of <span class="math-tex">\(P\)</span> is a triangle whose vertices <span class="math-tex">\(\mathbb{Z}\)</span>-generate the lattice <span class="math-tex">\(N\)</span>. If is_regular is true then both is_simplicial and is_terminal must be true.<br> is_reflexive: A boolean. True if and only if <span class="math-tex">\(X\)</span> is Gorenstein; that is, <span class="math-tex">\(-K\)</span> is Cartier. Equivalently, true if and only if <span class="math-tex">\(P^*\)</span> is a lattice polytope.<br> vertex_list: A sequence of lattice points in <span class="math-tex">\(N\)</span>. The vertices <span class="math-tex">\(\mathrm{vert}(P)\)</span> of <span class="math-tex">\(P\)</span>. Equivalently, the primitive lattice generators of the rays of <span class="math-tex">\(F\)</span>. The number of points is given by num_vertices.<br> point_list: A sequence of lattice points in <span class="math-tex">\(N\)</span>. The lattice points <span class="math-tex">\(P \cap N\)</span>. The number of points is given by num_points.<br> dual_list: A sequence of rational points in <span class="math-tex">\(M\)</span>. The vertices <span class="math-tex">\(\mathrm{vert}(P^*)\)</span> of <span class="math-tex">\(P^*\)</span>. These will be lattice points if and only if is_reflexive is true. The number of points is given (via duality) by num_faces.<br> ehrhart_delta: A sequence <span class="math-tex">\((1,a_1,a_2,1)\)</span> of four integers, the first and last of which are always 1. This is the Ehrhart <span class="math-tex">\(\delta\)</span>-vector (or <span class="math-tex">\(h^*\)</span>-vector) of <span class="math-tex">\(P\)</span>. The Ehrhart series <span class="math-tex">\(\mathrm{Ehr}(P)\)</span> of <span class="math-tex">\(P\)</span> is given by <span class="math-tex">\(\mathrm{Ehr}(P) = (1 + a_1t + a_2t^2 + t^3) / (1 - t)^4\)</span>.<br> hilbert_delta: A sequence <span class="math-tex">\((b_0,b_1,\ldots,b_N)\)</span> of integers such that <span class="math-tex">\(b_i = b_{N - i}\)</span>, and <span class="math-tex">\(b_0 = b_N = 1\)</span>. This is called the Ehrhart <span class="math-tex">\(\delta\)</span>-vector (or <span class="math-tex">\(h^*\)</span>-vector) of <span class="math-tex">\(P^*\)</span>. Write <span class="math-tex">\(N = 4r - 1\)</span>. Then <span class="math-tex">\(r\)</span> is the quasiperiod of <span class="math-tex">\(P^*\)</span>, and <span class="math-tex">\(r\)</span> divides gorenstein_index. The Ehrhart series of <span class="math-tex">\(P^*\)</span> is given by <span class="math-tex">\(\mathrm{Ehr}(P^*) = (b_0 + b_1t + \ldots + b_Nt^N) / (1 - t^r)^4\)</span>. The Ehrhart series <span class="math-tex">\(\mathrm{Ehr}(P^*)\)</span> of <span class="math-tex">\(P^*\)</span> is equal to the Hilbert series <span class="math-tex">\(\mathrm{Hilb}(X,-K)\)</span>.<br> normal_form: A sequence of lattice points in <span class="math-tex">\(N\)</span>. The PALP normal form of the vertices of <span class="math-tex">\(P\)</span>; see [2,3].<br> volume: A positive integer. The lattice-normalised volume <span class="math-tex">\(\mathrm{Vol}(P)\)</span> of <span class="math-tex">\(P\)</span>. This is equal to the sum of the ehrhart_delta: <span class="math-tex">\(\mathrm{Vol}(P) = 1 + a_1 + a_2 + 1\)</span>.<br> degree: A positive integer. The anticanonical degree <span class="math-tex">\((-K)^3\)</span> of <span class="math-tex">\(X\)</span>. Equivalently, the lattice-normalised volume <span class="math-tex">\(\mathrm{Vol}(P^*)\)</span> of <span class="math-tex">\(P^*\)</span>.<br> gorenstein_index: A positive integer. The Gorenstein index of <span class="math-tex">\(X\)</span>; that is, the smallest multiple <span class="math-tex">\(m&gt;0\)</span> such that <span class="math-tex">\(-mK\)</span> is Cartier. Equivalently, the smallest multiple <span class="math-tex">\(m&gt;0\)</span> such that <span class="math-tex">\(mP^*\)</span> is a lattice polytope. This is 1 if and only if is_reflexive is true.<br> h1,...,h10: Positive integers. The value hi&nbsp;<span class="math-tex">\(=h_i\)</span>&nbsp;is equal to the number of lattice points in the <span class="math-tex">\(i\)</span>-th dilation of <span class="math-tex">\(P^*\)</span>, that is, <span class="math-tex">\(h_i = \#(iP^* \cap M)\)</span>. Equivalently, <span class="math-tex">\(h_i = h^0(X,-iK)\)</span>. The values <span class="math-tex">\(h_i\)</span> can also be obtained from <span class="math-tex">\(\mathrm{Ehr}(P^*)\)</span>, or equivalently from <span class="math-tex">\(\mathrm{Hilb}(X,-K)\)</span>, via the power-series expansion <span class="math-tex">\((b_0 + b_1t + \ldots + b_Nt^N) / (1 - t^r)^4 = 1 + h_1t + h_2t^2 + h_3t^3 + \ldots\)</span>, where <span class="math-tex">\((b_0,b_1,\ldots,b_N)\)</span> is given by hilbert_delta.<br> e1,...,e10: Positive integers. The value ei&nbsp;<span class="math-tex">\(=e_i\)</span> is equal to the number of lattice points in the <span class="math-tex">\(i\)</span>-th dilation of <span class="math-tex">\(P\)</span>, that is, <span class="math-tex">\(e_i = \#(iP \cap N)\)</span>. In particular, <span class="math-tex">\(e_1\)</span> is equal to num_points. The values <span class="math-tex">\(e_i\)</span> can also be obtained from <span class="math-tex">\(\mathrm{Ehr}(P)\)</span> via the power-series expansion <span class="math-tex">\((1 + a_1t + a_2t^2 + t^3) / (1 - t)^4 = 1 + e_1t + e_2t^2 + e_3t^3 + \ldots\)</span>, where <span class="math-tex">\((1,a_1,a_2,1)\)</span> is given by ehrhart_delta.<br> picard_rank: Positive integer. The rank of the Picard group of <span class="math-tex">\(X\)</span>. When is_simplicial is true, this is equal to <span class="math-tex">\(\#\mathrm{vert}(P) - 3\)</span>.<br> automorphism_order: Positive integer. The order of the automorphism group <span class="math-tex">\(\mathrm{Aut}(P) \leq \mathrm{GL}(\mathbb{Z}^3)\)</span> of <span class="math-tex">\(P\)</span>.<br> is_barycentre_zero: A boolean. True if and only if the barycentre of <span class="math-tex">\(P\)</span> is equal to the origin in <span class="math-tex">\(N\)</span>.<br> is_dual_barycentre_zero: A boolean. True if and only if the barycentre of <span class="math-tex">\(P^*\)</span> is equal to the origin in <span class="math-tex">\(M\)</span>.</p> <p><strong>toricf3c.sql</strong></p> <p>The file &quot;toricf3c.sql&quot; contain an sqlite-formatted version of the data described above, and can be imported into an sqlite database via, for example:</p> <pre><code class="language-bash">$ cat toricf3c.sql | sqlite3 toricf3c.db</code></pre> <p>This can then be easily queried. For example:</p> <pre><code class="language-bash">$ sqlite3 toricf3c.db &gt; SELECT COUNT(*) FROM toricf3c; 674688 &gt; SELECT vertex_list FROM toricf3c WHERE degree = 72; [[-1,-4,-6],[1,0,0],[0,1,0],[0,0,1]] [[-1,-1,-3],[1,0,0],[0,1,0],[0,0,1]]</code></pre> <p>&nbsp;</p> <p><strong>References</strong></p> <p>[1] Alexander M. Kasprzyk. <em>Canonical toric Fano threefolds</em>. Canadian Journal of Mathematics, 62(6):1293&ndash;1309, 2010.<br> [2] Maximilian Kreuzer, Harald Skarke. <em>PALP, a package for analyzing lattice polytopes with applications to toric geometry</em>. Computer Phys. Comm., 157:87-106, 2004.<br> [3] Roland Grinis, Alexander M. Kasprzyk. <em>Normal forms of convex lattice polytopes</em>. arXiv:1301.6641 [math.CO], 2013</p>

opencc-zeroAug 2010View details →
zenodo44/100

Cohesin and CTCF control the dynamics of chromosome folding

<p>The dataset contains all the tracking data from Mach et al 2022 paper.</p> <p>Each file has the following header:</p> <p>x,y,z: spot coordinate. For dual color imaging, the distance along x,y and z across channels</p> <p>track: track id</p> <p>frame: time frame</p> <p>cell: cell id</p>

opencc-by-4.0Jun 2022View details →
zenodo44/100

PhasAGE Expert Seminar- Intrinsic Protein Disorder and Conditional Folding in AlphaFoldDB

<p>The PhasAGE&nbsp;<strong>Expert Seminars</strong>&nbsp;consist of a series of talks with speakers from PhasAGE partner&rsquo;s institutions to promote a successful transfer of knowledge about PhasAGE topics &ndash; biomolecular phase separation, aging and age-related diseases.</p>

opencc-by-4.0Oct 2022View details →
zenodo44/100

Data for Stabilization of non-native folds and programmable protein gelation in compositionally designed deep eutectic solvents

<div> <p>Full set of data related to the publication "Stabilization of non-native folds and programmable protein gelation in compositionally designed deep eutectic solvents", published in ACS Nano with DOI:<a title="https://doi.org/10.1021/acsnano.4c01950" href="https://doi.org/10.1021/acsnano.4c01950">10.1021/acsnano.4c01950</a></p> <p>&nbsp;Full details on data treatment and logging are included in the file "DataLogging.pdf". All data use ASCII encoding in delimited .txt files.</p> <p>&nbsp;</p> </div>

opencc-by-4.0Jun 2024View details →
zenodo44/100

Alphafold2_ab_initio iterative predictions for folding intermediate identification

<p>PDB ids starts from 1 and 8, rmsds, plddts, t-sne embeddings.</p> <p>Check related biorxiv preprint: AlphaFold2 knows some protein folding principles; DOI: https://doi.org/10.1101/2024.08.25.609581.</p>

opencc-by-4.0Sep 2024View details →
zenodo44/100

Nuclear Genome Organization in Fungi: From Gene folding to Rabl Chromosomes

<p>We discuss the current knowledge on the fungal genome organization, from the association of chromosomes within the nucleus to topological structures at individual genes and the genetic factors required for the hierarchical organization. Chromosome conformation capture followed by high-throughput sequencing (Hi-C) has elucidated how fungal genomes are globally organized in Rabl configuration where centromere or telomere bundles are associated with opposite faces of the nuclear envelope. Here, we explore the presence, in fungal taxa, of the typical proteins associated with genome organization in eukaryotes.</p>

opencc-by-4.0Dec 2022View details →
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Diversity and evolution of cerebellar folding in mammals

<p>Coronal cerebellar mid-sections for 56 mammalian species, at the same scale.</p> <p>&nbsp;</p> <p>This figure is from our open access paper:</p> <p>Heuer, K., Traut, N., de Sousa, A. A., Valk, S., &amp; Toro, R. (2022). Diversity and evolution of cerebellar folding in mammals. bioRxiv. <a href="https://doi.org/10.1101/2022.12.30.522292">https://doi.org/10.1101/2022.12.30.522292</a></p> <p>&nbsp;</p> <p>Abstract</p> <p>The process of brain folding is thought to play an important role in the development and organisation of the cerebrum and the cerebellum. The study of cerebellar folding is challenging due to the small size and abundance of its folia. In consequence, little is known about its anatomical diversity and evolution. We constituted an open collection of histological data from 56 mammalian species and manually segmented the cerebrum and the cerebellum. We developed methods to measure the geometry of cerebellar folia and to estimate the thickness of the molecular layer. We used phylogenetic comparative methods to study the diversity and evolution of cerebellar folding and its relationship with the anatomy of the cerebrum. Our results show that the evolution of cerebellar and cerebral anatomy follows a stabilising selection process. We observed 2 groups of phenotypes changing concertedly through evolution: a group of &ldquo;diverse&rdquo; phenotypes &ndash; varying over several orders of magnitude together with body size, and a group of &ldquo;stable&rdquo; phenotypes varying over less than 1 order of magnitude across species. Our analyses confirmed the strong correlation between cerebral and cerebellar volumes across species, and showed in addition that large cerebella are disproportionately more folded than smaller ones. Compared with the extreme variations in cerebellar surface area, folial anatomy and molecular layer thickness varied only slightly, showing a much smaller increase in the larger cerebella. We discuss how these findings could provide new insights into the diversity and evolution of cerebellar folding, the mechanisms of cerebellar and cerebral folding, and their potential influence on the organisation of the brain across species.</p>

opencc-by-4.0Jun 2023View details →
zenodo44/100

Unveiling metastable ensembles of GRB2 and the relevance of interdomain communication during folding - available data.

<p>The folding process of multidomain proteins is a highly intricate phenomenon involving the assembly of distinct domains into a functional three-dimensional structure. During this process, each domain may fold independently while interacting with other domains to form a functional protein. The folding of multidomain proteins can be influenced by various factors, including the composition and structure of each domain or the presence of disordered linker regions, as well as the surrounding environment. Misfolding of multidomain proteins can lead to the formation of non-functional structures associated with a range of diseases, including cancers and neurodegenerative disorders. Understanding this process is an essential step for many biophysical analyzes, such as stability, interaction, malfunctioning, and rational drug design. One such multidomain protein is the growth factor receptor-bound protein 2 (GRB2), an adaptor protein essential in regulating cell survival. GRB2 consists of one central Src Homology 2 (SH2) domain flanked by two Src Homology 3 (SH3) domains. The SH2 domain interacts with phosphotyrosine regions in other proteins, while the SH3 domains recognize proline-rich regions on protein partners during cell signaling. In this study, we combined computational and experimental techniques to investigate the folding process of GRB2. We sampled the conformational space through computational simulations and mapped the mechanisms involved by calculating free energy profiles, indicating&nbsp;possible intermediate states. From the molecular dynamics and trajectories, we used the Energy Landscape Visualization Method (ELViM), which allowed us to visualize a three-dimensional representation of the overall energy surface. We identified two possible parallel folding routes that cannot be seen in a one-dimensional analysis, with one occurring more frequently during folding. Supporting these results, we used DSC and fluorescence spectroscopy techniques to confirm these intermediate states in vitro. Finally, we analyzed the deletion of domains to compare our model outputs with previously&nbsp;published results, supporting the presence of interdomain modulation. Overall, our study highlights the significance of interdomain communication within the GRB2 protein and its impact on the formation, stability, and structural plasticity, which are crucial for its interaction with other proteins in key signaling pathways.</p> <p>&nbsp;</p>

opencc-by-4.0Jun 2023View details →
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Ha-SingleMoleculeLab's data for publication: Linking folding dynamics and function of SAM/SAH riboswitches at the single molecule level

<p>This upload is the raw data that support our findings sent to review on Nucleic Acids Research, corresponding to each individual figure. The paper title is &quot;&nbsp;Linking folding dynamics and function of SAM/SAH riboswitches at the single molecule level&quot;.</p>

opencc-by-4.0Jun 2023View details →
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Dataset for Supporting Information of the paper entitled "Folding and Bending Planar Coils for Highly Precise Soft Angle Sensing"

<p>This dataset includes all results presented in the &quot;Supporting information&quot; of the paper entitled &quot;Folding and Bending Planar Coils for Highly Precise Soft Angle Sensing&quot;, published in Advanced Materials Technologies, vol.5, 2000659, 2020<br> DOI: 10.5281/zenodo.4099806, DOI:&nbsp;<a href="https://doi.org/10.1002/admt.202000659">10.1002/admt.202000659</a><br> URL:<br> https://onlinelibrary.wiley.com/action/downloadSupplement?doi=10.1002%2Fadmt.202000659&amp;file=admt202000659-sup-0001-SuppMat.pdf</p> <p>List of data in this dataset:<br> Fig.S1-Theoretical Analysis.xlsx<br> Fig.S5-LM Coils Folding-Exp and NA.xlsx<br> Fig.S6-CoilFoldingDataARC.xlsx<br> Fig.S7-Cyclic Bending-1000 cycles.xlsx<br> Fig.S8-Cyclic Folding of FPC and LM Coils.xlsx</p> <p>All the data included in this dataset were collected and processed by Dr. Hongbo Wang.</p> <p>Contact person:<br> Dr. Hongbo Wang, ustcwhb@gmail.com</p>

opencc-by-4.0Oct 2020View details →
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Supplementary Video: Folding and Bending Planar Coils for Highly Precise Soft Angle Sensing

<p>Supplementary Video for Adv. Mater. Technol., DOI: 10.1002/admt.202000659<br> Folding and Bending Planar Coils for Highly Precise Soft Angle Sensing<br> H. Wang,* M. Totaro, S. Veerapandian,M. Ilyas, M. Kong, U. Jeong, L. Beccai*</p> <p>This video (.MP4) includes the following supporting movies:</p> <p>Movie S1. FE modeling of planar coil folding and bending<br> Movie S2. Numerical analysis of planar coil folding and bending<br> Movie S3. Dynamic bending test of FPC coil<br> Movie S4. Dynamic folding test of LM coil<br> Movie S5. Vibration detection with a folded FPC coil<br> Movie S6. Self-sensing origami<br> Movie S7. Sensorized soft pneumatic actuator<br> Movie S8. Wearable sensing</p> <p>Contact person:<br> Dr. Hongbo Wang, ustcwhb@gmail.com</p>

opencc-by-4.0Oct 2020View details →
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Ethical Perspectives in AI: A Two-folded Exploratory Study From Literature and Active Development Projects - Supplementary Material

<p>This is the Supplementary Material provided for the work accepted on HICSS 2021.</p> <p>Title of work:&nbsp;Ethical Perspectives in AI: A Two-folded Exploratory Study From Literature and Active Development Projects.</p> <p>&nbsp;</p> <p>&nbsp;</p> <p>This dataset depicts 589 GitHub README files explored in our article. We devised each repository into 4 categories. AI Applications (78), reference lists (486), Explainable AI tool (6), Ethical AI tool (15). Moreoveer, 4 repositories could not be found, and 181 of them had a Programming Language. In addition, we classified them according to our judgement of Interesting (82) or Great (33), regarding the objectives of our work. 75 repositories were not related to AI Ethics, and 7 of them mentioned COVID-19 in their repositories in some manner. Highlighted repositories in red pertain to categories 3 and 4, that is, tools for implementing AI Ethics, while those in yellow are marked as &ldquo;Great&rdquo;.</p> <p>Explainable AI tool and Ethical AI tool were added to 21 occurrences of tools for implementing AI ethics publicly available in repositories. Furthermore, it is seen that many papers open-sourced their codes on GitHub (as in https://github.com/lopusz/awesome-interpretable-machine-learning), meaning that the academic field has also made good progress in implementing ethics in AI, hence, the combined energy of both sources fosters an enhanced debate and stimulates progress towards AI ethics in practice.</p>

opencc-by-4.0Jan 2021View details →
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Vocal Fold Paralysis Dataset and Code

<p>Data and Code for Low et al. Uncovering the important acoustic features for detecting vocal fold paralysis with explainable machine learning.</p>

openother-openJun 2021View details →
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Low-temperature thermochronology database of the Carpathian fold-and-thrust belt (ZFT; ZHe; AFT; AHe) compilation from 1999 to 2023

<p>The following tables contain the low-temperature thermochronology dataset used in the Carpathian belt's exhumation model inversion. This dataset includes information from four thermochronometers: Apatite and Zircon Fission Track (AFT and ZFT), as well as (U-Th)/He on Apatites and Zircons (AHe and ZHe). Compiled from 1999 to 2023, this database encompasses available literature data related to low-temperature thermochronology in the region.&nbsp;</p><p>Excel table as well as a PDF file describe the database.</p>

opencc-by-4.0Nov 2023View details →
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Hands-On! Video demonstration - Paper folding components

<p>This video demonstrates all possible actions for the <strong>Paper folding task</strong>, providing real-time examples to help you accurately identify and assess fine motor performance. Use this video alongside the written descriptions and images from the <strong>Hands-On!</strong> observation tool for a comprehensive understanding of this fine motor task. For more information on the use of this video, please refer to <strong>Hands-On!</strong> via: <a href="https://doi.org/10.5281/zenodo.14185207">https://doi.org/10.5281/zenodo.14185207</a></p>

opencc-by-4.0Nov 2024View details →
zenodo40/100

Two-fold symmetric superconductivity in few-layer NbSe2

<p>Data for the following manuscript:&nbsp;</p> <p>Hamill, A., Heischmidt, B., Sohn, E.&nbsp;<em>et al.</em>&nbsp;Two-fold symmetric superconductivity in few-layer NbSe<sub>2</sub>.&nbsp;<em>Nat. Phys.</em>&nbsp;<strong>17,&nbsp;</strong>949&ndash;954 (2021). https://doi.org/10.1038/s41567-021-01219-x</p>

opencc-by-4.0Feb 2021View details →
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Data supporting "Slowest-first translation scheme: Structural asymmetry along protein sequences and co-translational folding"

<p>Contains data for a set of 16,200 non-redundant protein structures taken from the Protein Data Bank. Associated code can be found at https://github.com/jomimc/FoldAsymCode.</p>

opencc-by-4.0Oct 2021View details →

ScienceDex guides

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These curated guides explain access requirements, typical timelines, costs, and reuse considerations for widely used research datasets.

Compare curated datasets

Allen Brain Atlas

Allen Brain Atlas is an Allen Institute collection of brain map atlases, datasets, APIs, and analysis tools covering mouse, human, and non-human primate brain resources.

allen-brain-atlas
neuroscienceopenDocumentation, web resources, and API references are available online.
Last verified 2026-04-30Open record

Annotated Behaviour and Observability Dataset (ABODe)

ABODe is a University of Edinburgh DataShare dataset for behavior classification in group-housed mice using home-cage video, identities, bounding boxes, ground-plate positions, and annotator labels.

abode-home-cage
behavioral-neuroscienceopenThe DataShare record exposes download links for annotations, documentation, license text, and the zipped per-snippet data directory.
Last verified 2026-04-30Open record

DANDI Archive for NWB datasets

DANDI is a BRAIN Initiative archive for publishing and sharing neurophysiology data, including electrophysiology, optophysiology, and behavioral data packaged as NWB and related standards.

dandi-nwb
electrophysiologyopenPublished Dandiset metadata and archive endpoints are available through the production DANDI API.
Last verified 2026-04-30Open record

International Brain Laboratory public data

The International Brain Laboratory public data releases expose standardized mouse decision-making experiments, including Neuropixels recordings, widefield calcium imaging, behavior, and session metadata accessed through the ONE API.

ibl
behavioral-neuroscienceopenPublic sessions can be searched and loaded from the IBL public data server through ONE.
Last verified 2026-04-29Open record

OpenNeuro

OpenNeuro is a free, open platform for sharing neuroimaging datasets, with public search, dataset pages, and download paths for web, S3, DataLad, and the OpenNeuro CLI.

openneuro
neuroscienceopenPublished datasets are available on demand over the internet.
Last verified 2026-04-29Open record