{"product_id":"foldara-levinthals-paradox-physics-t-shirt","title":"Foldara – Levinthal's Paradox Physics T-Shirt","description":"\u003cp\u003eFoldara's ribbon does not search every shape. It slides down a funnel and drops into its fold.\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eCyrus Levinthal pointed out in a 1969 talk that a protein cannot find its folded shape by random search. Take illustrative numbers: 100 residues, 3 shapes each, 10⁻¹³ s per try. That is 3¹⁰⁰ ≈ 5 × 10⁴⁷ shapes, and a blind search would take about 10²⁷ years. Real proteins fold in milliseconds to seconds.\u003c\/p\u003e\u003cp\u003eLevinthal's own point was that folding must follow pathways. The modern picture is a funnel-shaped energy landscape that biases the chain downhill, so it never samples most states. Zwanzig, Szabo and Bagchi (1992) showed that a small energy bias shrinks the search time enormously.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e3¹⁰⁰ ≈ 5 × 10⁴⁷ shapes   ×   10⁻¹³ s   ≈   10²⁷ years\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e100: residues (illustrative)\u003c\/li\u003e\n\u003cli\u003e3: shapes per residue (illustrative)\u003c\/li\u003e\n\u003cli\u003e10⁻¹³ s: time per trial (illustrative)\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eLevinthal, “How to fold graciously” (1969 talk); Bryngelson \u0026amp; Wolynes, PNAS 84, 7524 (1987); Dill \u0026amp; Chan, Nat. Struct. Biol. 4, 10 (1997).\u003c\/p\u003e\u003cp\u003e\u003cem\u003eHonest caveat:\u003c\/em\u003e The numbers are a textbook illustration, not measurements or figures from Levinthal's talk. AlphaFold predicts structures; the paradox is about folding kinetics. How much folding follows specific pathways versus a broad funnel is still discussed.\u003c\/p\u003e\u003ch3\u003eOn the shirt\u003c\/h3\u003e\u003cp\u003eFront: Foldara, the pixel-art character, with “LEVINTHAL'S PARADOX”. Back: the 3¹⁰⁰ count, the 10²⁷-year blind search, the real folding times, the funnel and the 1969, 1987 and 1997 sources. Printed on a unisex tee.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"S \/ White","offer_id":50960515825767,"sku":"26940572576486534451","price":29.99,"currency_code":"USD","in_stock":true},{"title":"S \/ Black","offer_id":50960515858535,"sku":"12507746854468218388","price":29.99,"currency_code":"USD","in_stock":true},{"title":"M \/ White","offer_id":50960515891303,"sku":"24156518490794733858","price":29.99,"currency_code":"USD","in_stock":true},{"title":"M \/ Black","offer_id":50960515924071,"sku":"94111177070794567064","price":29.99,"currency_code":"USD","in_stock":true},{"title":"L \/ White","offer_id":50960515956839,"sku":"14177709492009177875","price":29.99,"currency_code":"USD","in_stock":true},{"title":"L \/ Black","offer_id":50960515989607,"sku":"10527288514813793008","price":29.99,"currency_code":"USD","in_stock":true},{"title":"XL \/ White","offer_id":50960516022375,"sku":"10903431879601438660","price":29.99,"currency_code":"USD","in_stock":true},{"title":"XL \/ Black","offer_id":50960516055143,"sku":"22355583288090016095","price":29.99,"currency_code":"USD","in_stock":true},{"title":"2XL \/ White","offer_id":50960516087911,"sku":"22641767947159408154","price":29.99,"currency_code":"USD","in_stock":true},{"title":"2XL \/ Black","offer_id":50960516120679,"sku":"83291934873450037836","price":29.99,"currency_code":"USD","in_stock":true},{"title":"3XL \/ White","offer_id":50960516153447,"sku":"15867033084081063029","price":29.99,"currency_code":"USD","in_stock":true},{"title":"3XL \/ Black","offer_id":50960516186215,"sku":"68486496448221109260","price":29.99,"currency_code":"USD","in_stock":true},{"title":"4XL \/ White","offer_id":50960516218983,"sku":"63872368773973540409","price":29.99,"currency_code":"USD","in_stock":true},{"title":"4XL \/ Black","offer_id":50960516251751,"sku":"19809253969947571443","price":29.99,"currency_code":"USD","in_stock":true},{"title":"5XL \/ White","offer_id":50960516284519,"sku":"12099162082758121569","price":29.99,"currency_code":"USD","in_stock":true},{"title":"5XL \/ Black","offer_id":50960516317287,"sku":"23527819316068776516","price":29.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/levinthal-paradox_front_02_white.png?v=1793625682","url":"https:\/\/pixelatedphysics.com\/ko\/products\/foldara-levinthals-paradox-physics-t-shirt","provider":"Pixelated Physics","version":"1.0","type":"link"}