{"id":91,"date":"2026-08-23T08:45:21","date_gmt":"2026-08-23T08:45:21","guid":{"rendered":"https:\/\/genetec.io\/?page_id=91"},"modified":"2026-08-23T09:38:21","modified_gmt":"2026-08-23T09:38:21","slug":"the-three-heads","status":"publish","type":"page","link":"https:\/\/genetec.io\/?page_id=91","title":{"rendered":"The Three Heads"},"content":{"rendered":"\r\n<p>The model&#8217;s kernel has three readouts &mdash; three heads sharing one recurrent core, each answering one question a growing tissue must answer at every moment.<\/p>\r\n\r\n\r\n\r\n<p><strong>The differentiation head &mdash; what.<\/strong> Cell identity is a softmax over super-enhancer attention: each candidate fate is a cluster of master-transcription-factor super-enhancers, and commitment is the entropy of that distribution collapsing. The head is gated by the <a href=\"https:\/\/genetec.io\/?page_id=92\">PRC2&ndash;TERRA clock<\/a> &mdash; a fate can only be chosen once Polycomb repression, withdrawn on the clock, falls below that fate&#8217;s threshold. Validated against the zebrafish atlas: the model reproduces the order in which cell fates appear (Spearman 0.95).<\/p>\r\n\r\n\r\n\r\n<p><strong>The division head &mdash; when and how much.<\/strong> Proliferation drives growth &mdash; and drives the clock itself, since each division shortens the telomere. Division is therefore the escapement of the whole system: the zebrafish embryo&#8217;s cell count follows an open-ended power law (N &asymp; 132&middot;t<sup>1.91<\/sup>, R&sup2; = 0.98 against measured counts), not a saturating curve, and every tick moves every cell&#8217;s clock forward.<\/p>\r\n\r\n\r\n\r\n<p><strong>The motility head &mdash; where.<\/strong> Cells move: convergent extension narrows and lengthens the body axis, collective migrations carry primordia to their addresses on the bioelectric frame, and the same head&#8217;s failure modes are the classic birth defects (a fold that does not close is a neural tube defect). Shape is not painted &mdash; it is the mechanical consequence of motility executed under the other two heads&#8217; instructions.<\/p>\r\n\r\n\r\n\r\n<p>All three heads are read from the same genome by the outer model and integrated by the same inner automaton &mdash; see <a href=\"https:\/\/genetec.io\/?page_id=97\">the NCA+LGM model<\/a>. Grown together from a single cell, they produce a recognizable vertebrate body.<\/p>\r\n\r\n","protected":false},"excerpt":{"rendered":"<p>The model&#8217;s kernel has three readouts &mdash; three heads sharing one recurrent core, each answering one question a growing tissue must answer at every moment. The differentiation head &mdash; what. Cell identity is a softmax over super-enhancer attention: each candidate fate is a cluster of master-transcription-factor super-enhancers, and commitment is the entropy of that distribution [&hellip;]<\/p>\n","protected":false},"author":0,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-91","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/genetec.io\/index.php?rest_route=\/wp\/v2\/pages\/91","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/genetec.io\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/genetec.io\/index.php?rest_route=\/wp\/v2\/types\/page"}],"replies":[{"embeddable":true,"href":"https:\/\/genetec.io\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=91"}],"version-history":[{"count":2,"href":"https:\/\/genetec.io\/index.php?rest_route=\/wp\/v2\/pages\/91\/revisions"}],"predecessor-version":[{"id":129,"href":"https:\/\/genetec.io\/index.php?rest_route=\/wp\/v2\/pages\/91\/revisions\/129"}],"wp:attachment":[{"href":"https:\/\/genetec.io\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=91"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}