Searcharxiv⌕ Search

arXiv · 0704.0191

Intricate Knots in Proteins: Function and Evolution

Abstract

A number of recently discovered protein structures incorporate a rather unexpected structural feature: a knot in the polypeptide backbone. These knots are extremely rare, but their occurrence is likely connected to protein function in as yet unexplored fashion. Our analysis of the complete Protein Data Bank reveals several new knots which, along with previously discovered ones, can shed light on such connections. In particular, we identify the most complex knot discovered to date in human ubiquitin hydrolase, and suggest that its entangled topology protects it against unfolding and degradation by the proteasome. Knots in proteins are typically preserved across species and sometimes even across kingdoms. However, we also identify a knot which only appears in some transcarbamylases while being absent in homologous proteins of similar structure. The emergence of the knot is accompanied by a shift in the enzymatic function of the protein. We suggest that the simple insertion of a short DNA fragment into the gene may suffice to turn an unknotted into a knotted structure in this protein.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Peter Virnau, Leonid A. Mirny, Mehran Kardar. 2007-04-02. Intricate Knots in Proteins: Function and Evolution. https://arxiv.org/abs/0704.0191

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Distinct weak antisymmetric interactions shape human brain functions as probability fluxes

The functional computation of the human brain is hypothesized to arise from the collective behaviour of the underlying neural network. A method based on an idea from equilibrium statistical mechanics has been applied to infer the underlying interaction network among the brain regions from whole-brain imaging, but studies challenge the validity of the equilibrium assumption. Without equilibrium, how does the human brain encode its function in biased state transitions? Here we show that the probability fluxes, which quantify the irreversibility of state transitions, exhibit unique, task-dependent patterns in spontaneous and task-induced whole-cerebral-cortex activity. We then fit an Ising model with asymmetric interactions and reveal that the symmetric interactions among the brain regions are strong and task-independent, whereas the antisymmetric interactions are weak and task-dependent, and that the fitted model reproduces the observed fluxes. Our results indicate that the human brain performs its functional computation by subtly modifying the antisymmetric part of the interactions among the brain regions, offering a new explanation for how a similar interaction network supports diverse brain functions. Moreover, the method can be applied to the time-series data of other high-dimensional many-body systems to reveal the probability fluxes and infer the underlying interactions among components.

physics.bio-ph↗

Axonemal bending stiffness of $\mathit{Chlamydomonas}$ cilia implies single-motor forces above $5\,\mathrm{pN}$

The regular bending waves of cilia and flagella provide an iconic model system for the collective dynamics of molecular motors. The known regular arrangement of dynein motors in a cilium's axoneme allows us to connect mesoscopic cilia properties, such as axonemal bending stiffness, to microscopic motor properties, such as the force exerted by an individual motor. We estimate the active force generated by the collection of dynein molecular motors in $\mathit{Chlamydomonas}$ axonemes using previous estimates of its bending stiffness. Divided by the maximal possible number of active motor heads, this provides a lower bound of ${>}10\,\mathrm{pN}$ for the peak force generated by a motor head, which exceeds typical stall forces ${<}5\,\mathrm{pN}$ of molecular motors. This discrepancy suggests that either the bending stiffness of microtubules and axonemes was previously overestimated, or that collective force generation in dense motor arrays can surpass the sum of expected contributions of individual motors.

physics.bio-ph↗

Computational Insights into Mechanostability and Dissociation Dynamics of the Dengue Virus Envelope Protein Ectodomain Dimer Across pH and Temperature Gradients

Dengue virus (DENV) is an enveloped flavivirus of major public health importance. Its envelope (E) protein mediates viral entry through homodimer dissociation and subsequent membrane fusion, making it one of the principal targets for antiviral strategies. To investigate the molecular determinants of this process, we performed steered molecular dynamics (SMD) simulations of the E protein ectodomain (ecE) dimer from DENV-2 and DENV-3 under variable pH and temperature conditions. Force-extension analyses revealed a highly stable interface for both serotypes, with rupture forces exceeding 1000 pN. pH and temperature had modest effects on overall mechanical resistance. However, DENV-3 displayed a distinct sensitivity to thermal stress compared to DENV-2. We identified a robust, asymmetric dissociation pathway across all conditions, characterized by a metastable intermediate state involving partial dimer opening and exposure of the fusion loop (FL). This intermediate exposes an immunodominant epitope and persists under physiological conditions, suggesting it as a viable target for therapeutic intervention. The primary contributions to the interfacial interaction network were found to arise from van der Waals interactions, followed by hydrogen bonds, salt bridges, and pi-cation interactions. DENV-3 exhibited a slightly greater contribution from polar interactions involving domains EDI, EDII, and EDIII. Furthermore, pairwise occupancy analysis identified pH-sensitive contacts that are disrupted under acidic conditions, particularly in DENV-3, providing mechanistic insight into the early stages of ecE dissociation. Together, these findings provide structural insights into the dissociation mechanism, identifying key metastable states and pH-sensitive interactions that could be exploited to develop antivirals that stabilize the dimer and prevent viral fusion.

physics.bio-ph↗