Novel TBK1 truncating mutation in a familial amyotrophic lateral sclerosis patient of Chinese origin

Missense and frameshift mutations in TRAF family member-associated NF-kappa-B activator (TANK)-binding kinase 1 (TBK1) have been reported in European sporadic and familial amyotrophic lateral sclerosis (ALS) cohorts. To assess the role of TBK1 in ALS patient cohorts of wider ancestry, we have analyzed whole-exome sequence data from an Australian cohort of familial ALS (FALS) patients and controls. We identified a novel TBK1 deletion (c.1197delC) in a FALS patient of Chinese origin. This frameshift mutation (p.L399fs) likely results in a truncated protein that lacks functional domains required for adapter protein binding, as well as protein activation and structural integrity. No novel or reported TBK1 mutations were identified in FALS patients of European ancestry. This is the first report of a TBK1 mutation in an ALS patient of Asian origin and indicates that sequence variations in TBK1 are a rare cause of FALS in Australia. © 2015 Elsevier Inc.

The role of 25-hydroxyvitamin D deficiency in promoting insulin resistance and inflammation in patients with chronic kidney disease: A randomised controlled trial

BACKGROUND Approximately 50% of patients with stage 3 Chronic Kidney Disease are 25-hydroxyvitamin D insufficient, and this prevalence increases with falling glomerular filtration rate. Vitamin D is now recognised as having pleiotropic roles beyond bone and mineral homeostasis, with the vitamin D receptor and metabolising machinery identified in multiple tissues. Worryingly, recent observational data has highlighted an association between hypovitaminosis D and increased cardiovascular mortality, possibly mediated via vitamin D effects on insulin resistance and inflammation. The main hypothesis of this study is that oral Vitamin D supplementation will ameliorate insulin resistance in patients with Chronic Kidney Disease stage 3 when compared to placebo. Secondary hypotheses will test whether this is associated with decreased inflammation and bone/adipocyte-endocrine dysregulation. METHODS/DESIGN This study is a single-centre, double-blinded, randomised, placebo-controlled trial. Inclusion criteria include; estimated glomerular filtration rate 30-59 ml/min/1.73 m(2); aged >or=18 on entry to study; and serum 25-hydroxyvitamin D levels <75 nmol/L. Patients will be randomised 1:1 to receive either oral cholecalciferol 2000IU/day or placebo for 6 months. The primary outcome will be an improvement in insulin sensitivity, measured by hyperinsulinaemic euglycaemic clamp. Secondary outcome measures will include serum parathyroid hormone, cytokines (Interleukin-1beta, Interleukin-6, Tumour Necrosis Factor alpha), adiponectin (total and High Molecular Weight), osteocalcin (carboxylated and under-carboxylated), peripheral blood mononuclear cell Nuclear Factor Kappa-B p65 binding activity, brachial artery reactivity, aortic pulse wave velocity and waveform analysis, and indirect calorimetry. All outcome measures will be performed at baseline and end of study. DISCUSSION To date, no randomised controlled trial has been performed in pre-dialysis CKD patients to study the correlation between vitamin D status with supplementation, insulin resistance and markers of adverse cardiovascular risk. We remain hopeful that cholecalciferol may be a safe intervention, with health benefits beyond those related to bone-mineral homeostasis. TRIAL REGISTRATION Australian and New Zealand Clinical Trials Registry ACTRN12609000246280.

Cellular and molecular regulation of mammalian blastocyst hatching

In mammals including humans, failure in blastocyst hatching and implantation leads to early embryonic loss and infertility. Prior to implantation, the blastocyst must hatch out of its acellular glycoprotein coat, the zona pellucida (ZP). The phenomenon of blastocyst hatching is believed to be regulated by (i) dynamic cellular components such as actin-based trophectodermal projections (TEPs), and (ii) a variety of autocrine and paracrine molecules such as growth factors, cytokines and proteases. The spatio-temporal regulation of zona lysis by blastocyst-derived cellular and molecular signaling factors is being keenly investigated. Our studies show that hamster blastocyst hatching is acelerated by growth factors such as heparin binding-epidermal growth factor and leukemia inhibitory factor and that embryo-derived, cysteine proteases including cathepsins are responsible for blastocyst hatching. Additionally, we believe that cyclooxygenase-generated prostaglandins, estradiol-17 beta mediated estrogen receptor-alpha signaling and possibly NF kappa B could be involved in peri-hatching development. Moreover, we show that TEPs are intimately involved with lysing ZP and that the TEPs potentially enrich and harbor hatching-enabling factors. These observations provide new insights into our understanding of the key cellular and molecular regulators involved in the phenomenon of mammalian blastocyst hatching, which is essential for the establishment of early pregnancy.

PIM2 Induced COX-2 and MMP-9 Expression in Macrophages Requires PI3K and Notch1 Signaling

Activation of inflammatory immune responses during granuloma formation by the host upon infection of mycobacteria is one of the crucial steps that is often associated with tissue remodeling and breakdown of the extracellular matrix. In these complex processes, cyclooxygenase-2 (COX-2) plays a major role in chronic inflammation and matrix metalloproteinase-9 (MMP-9) significantly in tissue remodeling. In this study, we investigated the molecular mechanisms underlying Phosphatidyl-myo-inositol dimannosides (PIM2), an integral component of the mycobacterial envelope, triggered COX-2 and MMP-9 expression in macrophages. PIM2 triggers the activation of Phosphoinositide-3 Kinase (PI3K) and Notch1 signaling leading to COX-2 and MMP-9 expression in a Toll-like receptor 2 (TLR2)-MyD88 dependent manner. Notch1 signaling perturbations data demonstrate the involvement of the cross-talk with members of PI3K and Mitogen activated protein kinase pathway. Enforced expression of the cleaved Notch1 in macrophages induces the expression of COX-2 and MMP-9. PIM2 triggered significant p65 nuclear factor-kappa B (NF-kappa B) nuclear translocation that was dependent on activation of PI3K or Notch1 signaling. Furthermore, COX-2 and MMP-9 expression requires Notch1 mediated recruitment of uppressor of Hairless (CSL) and NF-kappa B to respective promoters. Inhibition of PIM2 induced COX-2 resulted in marked reduction in MMP-9 expression clearly implicating the role of COX-2 dependent signaling events in driving the MMP-9 expression. Taken together, these data implicate PI3K and Notch1 signaling as obligatory early proximal signaling events during PIM2 induced COX-2 and MMP-9 expression in macrophages.

Cutaneous porphyrias : Clinical and histopathological study

The prevalence of variegate porphyria (VP) (2.1:100 000, in 2006 n=108) was higher in Finland than elsewhere in European countries due to a founder effect (R152C). The incidence of VP was estimated at 0.2:1 000 000 based on the number of new symptomatic patients yearly. The prevalence of porphyria cutanea tarda (PCT) was 1.2:100 000 (in 2006 n=63), which is only one fourth of the numbers reported from other European countries. The estimated incidence of PCT was 0.5:1 000 000. Based on measurements of the uroporphyrinogen decarboxylase activity in erythrocytes, the proportion of familial PCT was 49% of the cases. The prevalence of erythropoietic protoporphyria (EPP) was at 0.8:100 000 (in 2006 n=39) including asymptomatic carriers of a mutation in the ferrochelatase (FECH) gene. The incidence of EPP was estimated at 0.1:1 000 000. After 1980 the penetrance was 37% among patients with VP. Of the mutation carriers (n=57) 30% manifested with skin symptoms. Frequency of skin symptom as only clinical sign was stable before or after 1980 (22% vs. 21%), but acute attacks became infrequent (29% vs. 7%). Of the symptomatic patients 30% had both acute attacks and skin symptoms and 80% had skin symptoms. Fragility (95%) and blistering (46%) of the skin in the backs of the hands were the most common skin symptoms. Transient correction of porphyrin metabolism using eight haem arginate infusions within five weeks had no effect on the skin symptoms in three of four patients with VP. In one case skin symptoms disappeared transiently. One patient with homozygous VP had severe photosensitivity since birth. Sensory polyneuropathy, glaucoma and renal failure developed during the 25-year follow-up without the presence of acute attacks. The I12T mutation was detected in both of his alleles in the protoporphyrinogen oxidase gene. Lack of skin symptoms and infrequency of acute attacks (1/9) in the patients with I12T mutation at the heterozygous stage indicate a mild phenotype (the penetrance 11%). Four mutations (751delGAGAA, 1122delT, C286T, C343T) in the FECH gene were characterised in four of 15 families with EPP. Burning pain (96%) and swelling (92%) of the sun-exposed skin were the major skin symptoms. Hepatopathy appeared in one of 25 symptomatic patients (4%). Clinical manifestations and associated factors of PCT were similar in the sporadic and familial types of PCT. The majority of the patients with PCT had one to three precipitating factors: alcohol intake (78%), mutations in hemochromatosis associated gene (50%), use of oestrogen (25% of women) and hepatitis B or C infections (25 %). Fatty liver disease (67%) and siderosis (67%) were commonly found in their liver biopsies. The major histopathological change of the sun-exposed skin in the patients with VP (n=20), EPP (n=8) and PCT (n=5) was thickening of the vessel walls of the upper dermis suggesting that the vessel wall is the primary site of the phototoxic reaction in each type of porphyria. The fine structure of the vessel walls was similar in VP, EPP and PCT consisting of the multilayered basement membrane and excess of finely granular substance between the layers which were surrounded by the band of homogenous material. EPP was characterised by amorphous perivascular deposits extending also to the extravascular space. In direct immunofluorescence study homogenous IgG deposits in the vessel walls of the upper dermis of the sun-exposed skin were demonstrated in each type of porphyria. In EPP the excess material around vessel walls consisted of other proteins such as serum amyloid protein, and kappa and lambda light chains in addition to the basement membrane constituents such as collagen IV and laminin. These results suggest that the alterations of the vessel walls are a consequence of the repeated damage and the repairing process in the vessel wall. The microscopic alterations could be demonstrated even in the normal looking but sun-exposed skin of the patients with EPP during the symptom-free phase suggesting that vascular change can be chronic. The stability of vascular changes in the patients with PCT after treatment indicates that circulating porphyrins are not important for the maintenance of the changes.

The effect of closed boundary conditions on a stationary dynamo

One of two boundary conditions generally assumed in solutions of the dynamo equation is related to the disappearance of the azimuthal field at the boundary. Parker (1984) points out that for the realization of this condition the field must escape freely through the surface. Escape requires that the field be detached from the gas in which it is embedded. In the case of the sun, this can be accomplished only through reconnection in the tenuous gas above the visible surface. Parker concludes that the observed magnetic activity on the solar surface permits at most three percent of the emerging flux to escape. He arrives at the conclusion that, instead of B(phi) = 0, the partial derivative of B(phi) to r is equal to zero. The present investigation is concerned with the effect of changing the boundary condition according to Parker's conclusion. Implications for the solar convection zone are discussed.

Use of structure-directed DNA ligands to probe the binding of recA protein to narrow and wide grooves of DNA and on its ability to promote homologous pairing

We have used circular dichroism and structure-directed drugs to identify the role of structural features, wide and narrow grooves in particular, required for the cooperative polymerization, recognition of homologous sequences, and the formation of joint molecules promoted by recA protein. The path of cooperative polymerization of recA protein was deduced by its ability to cause quantitative displacement of distamycin from the narrow groove of duplex DNA. By contrast, methyl green bound to the wide groove was retained by the nucleoprotein filaments comprised of recA protein-DNA. Further, the mode of binding of these ligands and recA protein to DNA was confirmed by DNaseI digestion. More importantly, the formation of joint molecules was prevented by distamycin in the narrow groove while methyl green in the wide groove had no adverse effect. Intriguingly, distamycin interfered with the production of coaggregates between nucleoprotein filaments of recA protein-M13 ssDNA and naked linear M13 duplex DNA, but not with linear phi X174 duplex DNA. Thus, these data, in conjunction with molecular modeling, suggest that the narrow grooves of duplex DNA provide the fundamental framework required for the cooperative polymerization of recA protein and alignment of homologous sequences. These findings and their significance are discussed in relation to models of homologous pairing between two intertwined DNA molecules.

Adducts of bis(acetylacetonato)zinc(II) with 1,10-phenanthroline and 2,2'-bipyridine

In each of the zinc(II) complexes bis(acetylacetonato-kappa(2)O,O')(1,10-phenanthroline-kappa(2)N,N')zinc(II), [Zn(C(5)H(7)O(2))(2)(C(12)H(8)N(2))], (I), and bis(acetylacetonato-kappa(2)O,O')(2,2'-bipyridine-kappa(2)N,N')zinc(II), [Zn(C(5)H(7)O(2))(2)(C(10)H(8)N(2))], (II), the metal center has a distorted octahedral coordination geometry. Compound (I) has crystallographically imposed twofold symmetry, with Z' = 0.5. The presence of a rigid phenanthroline group precludes intramolecular hydrogen bonding, whereas the rather flexible bipyridyl ligand is twisted to form an intramolecular C-H...O interaction [the chelated bipyridyl ligand is nonplanar, with the pyridyl rings inclined at an angle of 13.4 (1) degrees]. The two metal complexes are linked by dissimilar C-H...O interactions into one-dimensional chains. The present study demonstrates the distinct effects of two commonly used ligands, viz. 1,10-phenanthroline and 2,2'-bipyridine, on the structures of metal complexes and their assembly.

Fluid States: Performances of Unknowing - The LOG

The LOG is the online edited proceedings of PSi#21 Fluid States: Performances of Unknowing, a festival-style series of conferences, symposia and performances across Asia, Africa, Europe, the Pacific and the Americas throughout 2015, incorporating texts, images, videos and other correspondence and commentary from literally hundreds of the world's top drama, theatre, performance and cultural studies scholars.

Peripheral facial palsy : Grading, Etiology, and Melkersson-Rosenthal Syndrome

The objective of this study was to assess the utility of two subjective facial grading systems, to evaluate the etiologic role of human herpesviruses in peripheral facial palsy (FP), and to explore characteristics of Melkersson-Rosenthal syndrome (MRS). Intrarater repeatability and interrater agreement were assessed for Sunnybrook (SFGS) and House-Brackmann facial grading systems (H-B FGS). Eight video-recorded FP patients were graded in two sittings by 26 doctors. Repeatability for SFGS was from good to excellent and agreement between doctors from moderate to excellent by intraclass correlation coefficient and coefficient of repeatability. For H-B FGS, repeatability was from fair to good and agreement from poor to fair by agreement percentage and kappa coefficients. Because SFGS was at least as good in repeatability as H-B FGS and showed more reliable results in agreement between doctors, we encourage the use of SFGS over H-B FGS. Etiologic role of human herpesviruses in peripheral FP was studied by searching DNA of herpes simplex virus (HSV) -1 and -2, varicella-zoster virus (VZV), human herpesvirus (HHV) -6A, -6B, and -7, Epstein-Barr virus (EBV), and cytomegalovirus (CMV) by PCR/microarray methods in cerebrospinal fluid (CSF) of 33 peripheral FP patients and 36 controls. Three patients and five controls had HHV-6 or -7 DNA in CSF. No DNA of HSV-1 or -2, VZV, EBV, or CMV was found. Detecting HHV-7 and dual HHV-6A and -6B DNA in CSF of FP patients is intriguing, but does not allow etiologic conclusions as such. These DNA findings in association with FP and the other diseases that they accompanied require further exploration. MRS is classically defined as a triad of recurrent labial or oro-facial edema, recurrent peripheral FP, and plicated tongue. All three signs are present in the minority of patients. Edema-dominated forms are more common in the literature, while MRS with FP has received little attention. The etiology and true incidence of MRS are unknown. Characteristics of MRS were evaluated at the Departments of Otorhinolaryngology and Dermatology focusing on patients with FP. There were 35 MRS patients, 20 with FP and they were mailed a questionnaire (17 answered) and were clinically examined (14 patients). At the Department of Otorhinolaryngology, every MRS patient had FP and half had the triad form of MRS. Two patients, whose tissue biopsies were taken during an acute edema episode, revealed nonnecrotizing granulomatous findings typical for MRS, the other without persisting edema and with symptoms for less than a year. A peripheral blood DNA was searched for gene mutations leading to UNC-93B protein deficiency predisposing to HSV-1 infections; no gene mutations were found. Edema in most MRS FP patients did not dominate the clinical picture, and no progression of the disease was observed, contrary to existing knowledge. At the Department of Dermatology, two patients had triad MRS and 15 had monosymptomatic granulomatous cheilitis with frequent or persistent edema and typical MRS tissue histology. The clinical picture of MRS varied according to the department where the patient was treated. More studies from otorhinolaryngology departments and on patients with FP would clarify the actual incidence and clinical picture of the syndrome.

Causes of death in patients with rheumatoid arthritis over a 40-year period : with special emphasis on autopsy

Rheumatoid arthritis (RA) patients have premature mortality. Contrary to the general population, mortality in RA has not declined over time. This study aimed to evaluate determinants of mortality in RA by examining causes of death (CoDs) over time, accuracy of CoD diagnoses, and contribution of RA medication to CoDs. This study further evaluated detection rate of reactive systemic amyloid A amyloidosis, which is an important contributor to RA mortality. CoDs were examined in 960 RA patients between 1971 and 1991 (Study population A) and in 369 RA patients autopsied from 1952 to 1991, with non-RA patients serving as the reference cases (Study population B). In Study population B, CoDs by the clinician before autopsy were compared to those by the pathologist at autopsy to study accuracy of CoD diagnoses. In Study population B, autopsy tissue samples were re-examined systematically for amyloidosis (90% of patients) and clinical data for RA patients was studied from 1973. RA patients died most frequently of cardiovascular diseases (CVDs), infections, and RA. RA deaths declined over time. Coronary deaths showed no major change in Study population A, but, in Study population B, coronary deaths in RA patients increased from 1952 to 1991, while non-RA cases had a decrease in coronary deaths starting in the 1970s. Between CoD diagnoses by the clinician and those by the pathologist, RA patients had lower agreement than non-RA cases regarding cardiovascular (Kappa reliability measure: 0.31 vs. 0.51) and coronary deaths (0.33 vs. 0.46). Use of disease modifying anti-rheumatic drugs was not associated with any CoD. In RA patients, re-examination of autopsy tissue samples doubled the prevalence of amyloid compared with the original autopsy: from 18% to 30%. In the amyloid-positive RA patients, amyloidosis was diagnosed before autopsy in only 37%; and they had higher inflammatory levels and longer duration of RA than amyloid-negative RA patients. Of the RA patients with amyloid, only half had renal failure or proteinuria during lifetime. In RA, most important determinants of mortality were CVDs, RA, and infections. In RA patients, RA deaths decreased over time, but this was not true for coronary deaths. Coronary death being less accurately diagnosed in RA may indicate that coronary heart disease (CHD) often goes unrecognized during lifetime. Thus, active search for CHD and its effective treatment is important to reduce cardiovascular mortality. Reactive amyloidosis may often go undetected. In RA patients with proteinuria or renal failure, as well as with active and long-lasting RA, a systematic search for amyloid is important to enable early diagnosis and early enhancement of therapy. This is essential to prevent clinical manifestations of amyloidosis such as renal failure, which has a poor prognosis.

Photochemistry of Far Red Responsive Tetrahydroquinoxaline-Based Squaraine Dyes

The photochemical and redox properties of two newly synthesized tetrahydroquinoxaline-based squaraine dyes (SQ) are investigated Using femto- and nanosecond laser flash photolysis, pulse radiolysis, and cyclic voltammetry. In acetonitrile and dichloromethane, these squaraines exist its monomers in the zwitterionic form (lambda(max) approximate to 715 nm, epsilon(max) approximate to 1.66 x 10(5) M-1 cm(-1) in acetonitrile). Their excited sin-let states ((1)SQ*) exhibit a broad absorption hand at 480 nm, with singlet lifetimes of 44 and 123 ps for the two dyes. Both squaraines exhibit poor intersystem crossing efficiency (Phi(ISC) < 0.001). Their excited triplet states ((3)SQ*), however, Ire efficiently generated by triplet-triplet energy transfer Using triplet excited 9,10-dibromoanthracene. The excited triplet states of the squaraines dyes exhibit it broad absorption hand at ca. 560 nm (epsilon(triplet) approximate to 4.2 x 10(4) M-1 cm(-1)) and undergo deactivation via triplet-triplet annihilation and ground-state quenching processes. The oxidized forms of the investigated squaraines (SQ(center dot+)) exhibit absorption maxima at 510 and 610 nm.

Investigations on magnetron sputtered ZnO thin films and Au/ZnO Schottky diodes

Magnetron sputtering is a promising technique for the growth of oxide materials including ZnO, which allows deposition of films at low temperatures with good electrical properties. The current-voltage (I-P) characteristics of An Schottky contacts on magnetron sputtered ZnO, films have been measured over a temperature range of 278-358K. Both effective barrier height (phi(B,eff)) and ideality factor (n) are found to be a function of temperature, and this behavior has been interpreted on the basis of a Gaussian distribution of barrier heights due to barrier height inhomogeneities that prevail at the interface. Density of states (DOS) near the Fermi level is determined using a model based on the space charge limited current (SCLC). The dispersion in both real and imaginary parts of the dielectric constant at low frequencies, with increase in temperature is attributed to the space charge effect. Complex impedance plots exhibited two semicircles, which corresponds to bulk grains and the grain boundaries. (c) 2006 Elsevier B.V. All rights reserved.

Pannus invasion into cartilage and bone in rheumatoid arthritis

Rheumatoid arthritis is the most common of all types of arthritis and despite of intensive research etiology of the disease remains unclear. Distinctive features of rheumatic arthritis comprise continuous inflammation of synovium, in which synovial membrane expands on cartilage leading to pannus tissue formation. Pannus formation, appearance of proteolytic enzymes and osteoclast formation cause articular cartilage and bone destruction, which lead to erosions and permanent joint damage. Proteolytic pathways play major roles in the development of tissue lesions in rheumatoid arthritis. Degradation of extracellular matrix proteins is essential to pannus formation and invasion. Matrix metalloproteinases (MMP) form a large proteolytic enzyme family and in rheumatoid arthritis they contribute to pannus invasion by degrading extracellular matrix and to joint destruction by directly degrading the cartilage. MMP-1 and MMP-3 are shown to be increased during cell invasion and also involved in cartilage destruction. Increase of many cytokines has been observed in rheumatoid arthritis, especially TNF-α and IL-1β are studied in synovial tissue and are involved in rheumatoid inflammation and degradation of cartilage. Underlying bone resorption requires first demineralization of bone matrix with acid secreted by osteoclasts, which exposes the collagen-rich matrix for degradation. Cathepsin K is the best known enzyme involved in bone matrix degradation, however deficiency of this protein in pycnodysostosis patient did not prevent bone erosion and on the contrary pannus tissue invading to bone did not expressed much cathepsin K. These indicate that other proteinases are involved in bone degradation, perhaps also via their capability to replace the role of other enzymes especially in diseases like pycnodysostosis or during medication e.g. using cathepsin K inhibitors. Multinuclear osteoclasts are formed also in pannus tissue, which enable the invasion into underlying bone matrix. Pannus tissue express a receptor activator of nuclear factor kappa B ligand (RANKL), an essential factor for osteoclast differentiation and a disintegrin and a metalloproteinase 8 (ADAM8), an osteoclast-activating factors, involved in formation of osteoclast-like giant cells by promoting fusion of mononuclear precursor cells. The understanding of pannus invasion and degradation of extracellular matrix in rheumatic arthritis will open us new more specific methods to prevent this destructive joint disease.

Isoperimetric Problem and Meta-fibonacci Sequences

Let G = (V,E) be a simple, finite, undirected graph. For S ⊆ V, let $\delta(S,G) = \{ (u,v) \in E : u \in S \mbox { and } v \in V-S \}$ and $\phi(S,G) = \{ v \in V -S: \exists u \in S$ , such that (u,v) ∈ E} be the edge and vertex boundary of S, respectively. Given an integer i, 1 ≤ i ≤ ∣ V ∣, the edge and vertex isoperimetric value at i is defined as b e (i,G) =  min S ⊆ V; |S| = i |δ(S,G)| and b v (i,G) =  min S ⊆ V; |S| = i |φ(S,G)|, respectively. The edge (vertex) isoperimetric problem is to determine the value of b e (i, G) (b v (i, G)) for each i, 1 ≤ i ≤ |V|. If we have the further restriction that the set S should induce a connected subgraph of G, then the corresponding variation of the isoperimetric problem is known as the connected isoperimetric problem. The connected edge (vertex) isoperimetric values are defined in a corresponding way. It turns out that the connected edge isoperimetric and the connected vertex isoperimetric values are equal at each i, 1 ≤ i ≤ |V|, if G is a tree. Therefore we use the notation b c (i, T) to denote the connected edge (vertex) isoperimetric value of T at i. Hofstadter had introduced the interesting concept of meta-fibonacci sequences in his famous book “Gödel, Escher, Bach. An Eternal Golden Braid”. The sequence he introduced is known as the Hofstadter sequences and most of the problems he raised regarding this sequence is still open. Since then mathematicians studied many other closely related meta-fibonacci sequences such as Tanny sequences, Conway sequences, Conolly sequences etc. Let T 2 be an infinite complete binary tree. In this paper we related the connected isoperimetric problem on T 2 with the Tanny sequences which is defined by the recurrence relation a(i) = a(i − 1 − a(i − 1)) + a(i − 2 − a(i − 2)), a(0) = a(1) = a(2) = 1. In particular, we show that b c (i, T 2) = i + 2 − 2a(i), for each i ≥ 1. We also propose efficient polynomial time algorithms to find vertex isoperimetric values at i of bounded pathwidth and bounded treewidth graphs.