GPD Scale Parameter Predicts Evolutionary Rate in the Thermally Vulnerable Subproteome

A statistics trick for measuring extreme events could predict how fast proteins evolve under heat stress.

Extreme value statistics (GEV distributions, tail index analysis, return level estimation, peaks-over-threshold)
Proteome-wide thermal stability distributions (thermal proteome profiling, Meltome Atlas)
StrategyConverging VocabulariesFields using similar frameworks unknowingly
Session Funnel7 generated
Field Distance
1.00
minimal overlap
Session DateMar 26, 2026
5 bridge concepts
GEV distribution fittingreturn level estimationtail index classificationpeaks-over-thresholdFisher-Tippett-Gnedenko theorem
Composite
5.0/ 10
Confidence
5
Groundedness
5
How this score is calculated ›

6-Dimension Weighted Scoring

Each hypothesis is scored across 6 dimensions by the Ranker agent, then verified by a 10-point Quality Gate rubric. A +0.5 bonus applies for hypotheses crossing 2+ disciplinary boundaries.

Novelty20%

Is the connection unexplored in existing literature?

Mechanistic Specificity20%

How concrete and detailed is the proposed mechanism?

Cross-field Distance10%

How far apart are the connected disciplines?

Testability20%

Can this be verified with existing methods and data?

Impact10%

If true, how much would this change our understanding?

Groundedness20%

Are claims supported by retrievable published evidence?

Composite = weighted average of all 6 dimensions. Confidence and Groundedness are assessed independently by the Quality Gate agent (35 reasoning turns of Opus-level analysis).

E

Empirical Evidence

Evidence Score (EES)
7.9/ 10
Convergence
3 moderate
Clinical trials, grants, patents
Dataset Evidence
13/ 15 claims confirmed
HPA, GWAS, ChEMBL, UniProt, PDB
Convergence details per hypothesis ›
C1-H1CONVERGENT_MODERATE

GEV Tail Index (xi) as Phylogenomic Signature of Thermal Adaptation Strategy

No active clinical trials, funded grants, or patents directly address the GEV tail index classification of thermal adaptation strategies. However, four partial mechanism confirmations are found: (1) thermophile meltome data (Oztug 2020) shows narrower Tm distributions consistent with Weibull-domain tail truncation; (2-3) evolutionary genetics literature (Joyce 2008; Beisel 2007) demonstrates EVT domain classification working in biological systems using the same GPD peaks-over-threshold framework, confirming the key mathematical sub-mechanism; (4) a 2025 Arabidopsis meltome atlas extends the empirical base for cross-species GEV fitting. The hypothesis remains disjoint — no prior work applies this to proteome Tm distributions — but the sub-mechanisms have independent biological precedents.

C1-H2CONVERGENT_MODERATE

Complex-Minimum Tm Return Levels Predict Process-Specific Thermal Failure Temperatures

Clinical Trials
NCT03757858related

Hyperthermia Combined With Immunotherapy in the Treatment of Cancer

Patents
WO2019035773A1adjacent

Methods to identify protein interaction (Proximity Co-Aggregation / MS-CETSA)

Agency for Science Technology and Research Singapore · filed 2018-08-20

One adjacent clinical trial (hyperthermia + immunotherapy, not mechanism-specific) and one adjacent patent (TPCA methodology, WO2019035773A1 — does not claim EVT return levels). Three partial mechanism confirmations: Slim-TPCA (2023) confirms complex-level co-melting for ribosomes and proteasomes; NLRP3 meltome 2025 confirms thermally vulnerable proteins cluster in complexes; eLife 2024 large-scale PISA confirms measurement scalability. The patent confirms the TPCA methodology is considered commercially valuable, suggesting the infrastructure underlying C1-H2 is already protected — but the EVT return-level innovation itself (the MAGELLAN contribution) is not patented.

C1-H7CONVERGENT_MODERATE

GPD Scale Parameter Predicts Evolutionary Rate in the Thermally Vulnerable Subproteome

No active clinical trials, funded grants, or patents for GPD-scale prediction of evolutionary rate in thermally vulnerable proteins. Four partial mechanism confirmations: Dasmeh 2014 validates the stability-dN/dS sub-mechanism; Joyce 2008 validates GPD peaks-over-threshold in biological evolutionary context; Drummond 2005 PNAS validates the expression-stability-evolution triangle; Knopp 2024 Nature Commun provides experimental evidence that temperature shapes evolutionary rate through protein stability. Together these confirm the component sub-mechanisms of C1-H7 (thermal stability to evolutionary rate) have strong independent support, even though the specific GPD-based quantification of the tail vulnerability zone has not been attempted.

Dataset verification per hypothesis ›
C1-H1GEV Tail Index (xi) as Phylogenomic Signature of Thermal Adaptation Strategy
9.0
3 confirmed1 supported
H1-C1
UniProtConfirmed

HSP90AA1 is a heat shock protein (chaperone) involved in proteome stress response and thermal vulnerability

UniProt P07900: Full name 'Heat shock protein HSP 90-alpha'. Confirmed chaperone function. Subcellular locations: Nucleus, Cytoplasm, Melanosome, Cell membrane, Mitochondrion — broadly distributed, consistent with proteome-wide thermal surveillance role. AlphaFold pLDDT=85.19 (well-structured).

H1-C2
PDBConfirmed

HSP90AA1 has extensive structural characterization confirming folded, thermostable architecture (relevant to Weibull domain upper-tail claim)

PDB: 435 structures for HSP90AA1 (P07900). Most resolved structure 1BYQ at 1.50A. AlphaFold available, mean pLDDT=85.19. Extensive structural data confirms well-folded protein — consistent with Weibull domain (bounded Tm) predictions. No unfolded/IDP character in crystal structures.

H1-C3
UniProtConfirmed

HSPA1A (HSP70-1A) is a molecular chaperone that protects the proteome from thermal stress — the chaperone network is a key component of thermal adaptation strategy

UniProt P0DMV8: 'Heat shock 70 kDa protein 1A'. Confirmed inducible stress chaperone. HSPA8 (constitutive HSP70) confirmed separately as 'Molecular chaperone implicated in a wide variety of cellular processes, including protection of the proteome from stress'. Both HSP70 paralogs confirmed chaperones. AlphaFold pLDDT=88.88 for HSPA1A (well-structured).

H1-C4
HumanProteinAtlasSupported

HSP70 and HSP90 chaperones are broadly expressed across all human tissues (supports their role as universal thermal stress sensors)

HPA: HSP90AA1 detected in all tissues, 'Low tissue specificity' — BROADLY_EXPRESSED. Consistent with universal proteostasis chaperone function across all cell types. Supports claim that thermal adaptation machinery is constitutively active across the proteome.

C1-H2Complex-Minimum Tm via POT Identifies Thermal Bottleneck Complexes
10.0
5 confirmed
H2-C1
UniProtConfirmed

HSPA8 (HSP70-cognate) is a molecular chaperone that can buffer thermal vulnerability of complex subunits — the chaperone caveat for POT return level predictions

UniProt P11142: 'Molecular chaperone implicated in a wide variety of cellular processes, including protection of the proteome from stress, folding and transport of newly synthesized polypeptides, chaperone-mediated autophagy, activation of proteolysis of misfolded proteins, formation and dissociation of protein complexes'. Function explicitly includes 'formation and dissociation of protein complexes' — directly relevant to the H2 caveat that chaperones may rescue bottleneck subunits above their in vitro Tm.

H2-C2
UniProtConfirmed

RPS6 (40S ribosomal protein S6) is a component of the small ribosomal subunit — ribosomal complexes are cited as key targets for return level analysis in H2

UniProt P62753: 'Component of the 40S small ribosomal subunit. Plays an important role in controlling cell growth and proliferation through the selective translation of particular classes of mRNA.' Subcellular location: Cytoplasm, Nucleus/nucleolus. Confirmed ribosomal complex membership. Consistent with the H2 prediction that ribosomal subcomplexes are testable targets for thermal bottleneck analysis.

H2-C3
UniProtConfirmed

RPL5 is a component of the large ribosomal subunit — ribosomal complexes include both 40S and 60S subcomplexes as thermal bottleneck targets

UniProt P46777: 'Large ribosomal subunit protein uL18. Component of the ribosome, a large ribonucleoprotein complex responsible for the synthesis of proteins in the cell.' Confirmed 60S subunit membership, localized Cytoplasm/Nucleus-nucleolus. Ribosome complex components confirmed in both subunits, supporting H2 validation framework.

H2-C4
UniProtConfirmed

PSMD1 (26S proteasome non-ATPase regulatory subunit 1) is part of the proteasome complex — proteasome regulatory subunits are claimed to cluster at lower Tm in Jarzab 2020

UniProt Q99460: '26S proteasome non-ATPase regulatory subunit 1. Component of the 26S proteasome, a multiprotein complex involved in the ATP-dependent degradation of ubiquitinated proteins... plays a key role in the maintenance of protein homeostasis by removing misfolded or damaged proteins.' PDB shows 78 structures with AlphaFold pLDDT=79.25 — notably lower pLDDT than HSP90 (85.19) and HSP70 (88.88), suggesting more structural flexibility, consistent with potentially lower thermal stability.

H2-C5
KEGGConfirmed

HSP90AA1 participates in hsa04141 (protein processing in ER) — KEGG pathway annotation for thermal response machinery (not already checked for HSP90AA1 specifically in CV, only pathway existence was confirmed)

KEGG: HSP90AA1 (hsa:3320) is in 15 pathways including hsa04141 (protein processing in ER — already verified by CV). Additional pathways: hsa04151 (PI3K-Akt), hsa04217 (necroptosis), hsa04612 (antigen processing/presentation), hsa04621/04657/04659 (immune), hsa04914/04915 (steroid hormone signaling), hsa05132 (Salmonella infection). Confirms HSP90AA1 participates in hsa04141 at the gene level. CV confirmed pathway existence; this query confirms HSP90AA1 membership specifically.

C1-H7GPD Scale Parameter Predicts Evolutionary Rate in the Thermally Vulnerable Subproteome
9.3
5 confirmed1 supported
H7-C1
UniProtConfirmed

CDK2 is a serine/threonine-protein kinase with GO:0004672 (protein kinase activity) — the hypothesis claims signal transduction proteins including kinases are enriched in the thermally vulnerable lower tail

UniProt P24941: 'Cyclin-dependent kinase 2 — Serine/threonine-protein kinase involved in the control of the cell cycle; essential for meiosis'. Confirmed protein kinase domain. CDK2 is 298 residues (medium-sized kinase). AlphaFold mean pLDDT=88.44 — HIGH confidence structured protein, suggesting CDK2 is well-folded with likely Tm above proteome average, consistent with QG's flag that CDK2 Tm ~55C would be ABOVE the proteome median and thus would CONTRADICT the hypothesis's kinase-low-Tm claim.

H7-C2
KEGGConfirmed

CDK2 is in cell cycle pathway hsa04110 — kinases/regulatory proteins participate in signaling pathways (GO:0007165 signal transduction, GO:0004672 protein kinase activity claimed as enriched in lower thermal tail)

KEGG: CDK2 (hsa:1017) is in 19 pathways including hsa04110 (Cell cycle), hsa04068 (FoxO signaling), hsa04114 (oocyte meiosis), hsa04115 (p53 signaling), hsa04151 (PI3K-Akt), hsa04218 (cellular senescence), hsa05160/05161 (viral infection pathways). Confirmed CDK2 participates in signal transduction and regulatory pathways. Supports the GO-enrichment hypothesis that the GPD exceedance set should be tested for pathway enrichment — but note this does NOT confirm kinases are in the lower Tm tail (KEGG participation is not Tm data).

H7-C3
STRINGConfirmed

CDK2 binds to cyclin A2 (CCNA2) with high affinity — CDK2 Tm increases 20-26C upon binding to cyclin or p27 (supports the conditional risk that in-complex CDK2 Tm is much higher than basal CDK2 Tm)

STRING: CDK2-CCNA2 combined_score=0.999 (HIGH_CONFIDENCE), experimental_score=0.999, database_score=0.9. The highest possible STRING confidence. CDK2 and Cyclin A2 form a canonical obligate complex with extensive experimental and database evidence. This confirms that CDK2 in physiological context is always complexed — meaning the 'basal CDK2 Tm' measured in lysate POT analysis reflects the unbound (inactive) state, not the functional complex state. This supports the H2 concern about in-complex stabilization and equally applies to H7: kinase Tm measured in lysate may not reflect functional state.

H7-C4
STRINGConfirmed

CDK2 binds to p27 (CDKN1B) — further confirming that CDK2 Tm in situ reflects complex state, not basal kinase

STRING: CDK2-CDKN1B (p27) combined_score=0.999 (HIGH_CONFIDENCE), experimental_score=0.999, database_score=0.9. Again maximum confidence. Both key CDK2 binding partners (cyclin A2 and p27/CDKN1B) confirmed with highest STRING scores. This biochemical evidence supports the QG conditional: CDK2 Tm in lysate may be the unbound form (low), but in vivo CDK2 is always in a complex (high Tm). The H7 kinase enrichment prediction requires specifying whether it tests basal or in-complex Tm.

H7-C5
PDBConfirmed

CDK2 has extensive structural characterization — 498 PDB structures confirm it is a well-characterized, well-folded kinase (relevant to assessing whether CDK2 is likely in the lower Tm tail)

PDB: 498 structures for CDK2 (P24941), most crystal structures from 2.0-2.6A resolution. AlphaFold mean pLDDT=88.44 (high confidence, well-folded). CDK2 is a highly structured kinase with comprehensive structural coverage. High pLDDT score (88.44 vs. proteome average ~70) suggests CDK2 is likely ABOVE the proteome median for Tm, consistent with QG's concern that CDK2 Tm ~55C would contradict the kinase-low-Tm premise of H7.

H7-C6
HumanProteinAtlasSupported

CDK2 expression is broadly distributed across tissues — CDK2 ubiquitous expression is consistent with its role as a cell cycle regulator but does not support enrichment in a 'thermally vulnerable' subset

HPA: CDK2 detected in all tissues ('Low tissue specificity', BROADLY_EXPRESSED). Broad expression is consistent with constitutive cell cycle function. Highly expressed proteins tend to evolve slowly (Drummond 2005 PNAS, confirmed by QG) — a critical confound for the σ-dN/dS correlation in H7. CDK2's broad expression means it is a HIGH-expression protein, which by the Drummond confound would predict LOW dN/dS regardless of thermal position. This does not contradict H7 but reinforces that expression level must be controlled as a mandatory covariate.

How EES is calculated ›

The Empirical Evidence Score measures independent real-world signals that converge with a hypothesis — not cited by the pipeline, but discovered through separate search.

Convergence (45% weight): Clinical trials, grants, and patents found by independent search that align with the hypothesis mechanism. Strong = direct mechanism match.

Dataset Evidence (55% weight): Molecular claims verified against public databases (Human Protein Atlas, GWAS Catalog, ChEMBL, UniProt, PDB). Confirmed = data matches the claim.

S
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Every protein in your body has a melting point — a temperature at which it unravels and stops working. Scientists can now measure these melting points for thousands of proteins at once, creating a kind of 'thermal map' of the entire proteome. Meanwhile, extreme value statistics is a branch of math originally developed to predict rare catastrophes like hundred-year floods or catastrophic wind speeds — it specializes in understanding the behavior of things at the dangerous edges of a distribution, not the comfortable middle. This hypothesis proposes an unexpected marriage between these two fields. The idea is to take the proteins most vulnerable to heat — those with the lowest melting points — and fit a specific statistical model called a Generalized Pareto Distribution to describe how spread out their melting points are. That spread, captured by a single number called the scale parameter, might actually predict how fast those proteins evolve over time. If all the thermally fragile proteins have very similar melting points (a tight cluster), evolution would be ruthless: any mutation that makes a protein even slightly less stable could push it past a critical threshold, so those mutations get weeded out fast. But if the fragile proteins span a wide range of melting points, there's more wiggle room — some mutations are tolerable, and evolution proceeds more loosely. In short, a single statistical fingerprint of a population of vulnerable proteins could serve as a proxy for the evolutionary pressure those proteins are under. It's the kind of cross-disciplinary leap that sounds abstract until you realize it could turn a snapshot of today's proteins into a prediction about tomorrow's evolutionary trajectory.

This is an AI-generated summary. Read the full mechanism below for technical detail.

Why This Matters

If confirmed, this hypothesis could give researchers a fast, cheap way to identify which proteins in an organism are under the strongest evolutionary constraint — information currently requiring painstaking comparative genomics across many species. In drug development, proteins evolving slowly under thermal pressure might make better drug targets because they're less likely to mutate into drug-resistant forms. It could also reshape how we think about adaptation in organisms facing rising temperatures due to climate change, flagging which proteins are evolutionary bottlenecks. The hypothesis is speculative enough to warrant skepticism, but testable enough — using existing Meltome Atlas data paired with evolutionary rate databases — that it's worth running the experiment.

Evidence Density1 tagged claims
1parametric

Grounded claims cite published evidence. Parametric claims draw on general model knowledge. Speculative claims are explicitly flagged hypothetical leaps.

M

Mechanism

The Generalized Pareto Distribution fitted to lower-tail exceedances (proteins with Tm below a POT threshold) has scale parameter σ quantifying SPREAD of the vulnerable subset. A SMALL σ means all vulnerable proteins have similar Tm — imposing strong purifying selection (any amino acid substitution that lowers Tm risks pushing below the functional threshold). A LARGE σ means vulnerable proteins span a wide Tm range — creating a tolerance gradient where some mutations are permissible PARAMETRIC.

X

Cross-Model Validation

Independent Assessment
GPT-5.4 Pro2/10
Gemini 3.1 Pro4/10
AgreementHIGH

UNLIKELY in current form — redesign as within-species protein-level analysis, not species-level correlation

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