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1.
Phys Biol ; 14(4): 046003, 2017 07 19.
Article in English | MEDLINE | ID: mdl-28639563

ABSTRACT

A multilayered epithelium is made up of individual cells that are stratified in an orderly fashion, layer by layer. In such tissues, individual cells can adopt a wide range of shapes ranging from columnar to squamous. From histological images, we observe that, in flat epithelia such as the skin, the cells in the top layer are squamous while those in the middle and bottom layers are columnar, whereas in tubular epithelia, the cells in all layers are columnar. We develop a computational model to understand how individual cell shape is governed by the mechanical forces within multilayered flat and curved epithelia. We derive the energy function for an epithelial sheet of cells considering intercellular adhesive and intracellular contractile forces. We determine computationally the cell morphologies that minimize the energy function for a wide range of cellular parameters. Depending on the dominant adhesive and contractile forces, we find four dominant cell morphologies for the multilayered-layered flat sheet and three dominant cell morphologies for the two-layered curved sheet. We study the transitions between the dominant cell morphologies for the two-layered flat sheet and find both continuous and discontinuous transitions and also the presence of multistable states. Matching our computational results with histological images, we conclude that apical contractile forces from the actomyosin belt in the epithelial cells is the dominant force determining cell shape in multilayered epithelia. Our computational model can guide tissue engineers in designing artificial multilayered epithelia, in terms of figuring out the cellular parameters needed to achieve realistic epithelial morphologies.


Subject(s)
Cell Adhesion , Cell Shape , Epithelial Cells/cytology , Models, Biological , Actomyosin/metabolism , Computational Biology , Epithelium/physiology
2.
Br J Cancer ; 112(8): 1340-8, 2015 Apr 14.
Article in English | MEDLINE | ID: mdl-25867259

ABSTRACT

BACKGROUND: Docetaxel improves symptoms and survival in metastatic castration-resistant prostate cancer (CRPC). However, ∼50% of patients are chemoresistant. This study examined whether changes in cytokine levels predict for docetaxel resistance in vitro and in a clinical cohort. METHODS: PC3 cells or their docetaxel-resistant subline (PC3Rx) were co-cultured with U937 monocytes, with and without docetaxel treatment, and cytokine levels were measured. The circulating levels of 28 cytokines were measured pre-/post cycle 1 of docetaxel from 55 men with CRPC, and compared with prostate-specific antigen (PSA) response. RESULTS: PC3Rx-U937 co-culture expressed more cytokines, chiefly markers of alternative macrophage differentiation, compared with PC3-U937 co-culture. Docetaxel treatment enhanced cytokine production by PC3Rx-U937 co-culture, while reducing cytokine levels in PC3-U937. In patients, changes in the levels of seven circulating cytokines (macrophage inhibitory cytokine 1 (MIC1), interleukin (IL)-1ra, IL-1ß, IL-4, IL-6, IL-12 and IFNγ) after cycle 1 of docetaxel were associated with progressive disease (all P<0.05). The combination of changes in MIC1, IL-4 and IL-6 most strongly predicted PSA response (P=0.002). CONCLUSIONS: In vitro studies suggest docetaxel resistance is mediated, at least in part, by cytokines induced by the interaction between the docetaxel-resistant tumour cells and macrophages. Early changes in circulating cytokine levels were associated with docetaxel resistance in CRPC patients. When considered together, these data suggest a significant role for the inflammatory response and macrophages in the development of docetaxel resistance in CRPC.


Subject(s)
Cytokines/blood , Drug Resistance, Neoplasm , Kallikreins/blood , Macrophages/metabolism , Prostate-Specific Antigen/blood , Prostatic Neoplasms, Castration-Resistant/metabolism , Aged , Aged, 80 and over , Antineoplastic Agents/pharmacology , Cell Line, Tumor , Coculture Techniques , Docetaxel , Humans , Male , Middle Aged , Prostatic Neoplasms, Castration-Resistant/drug therapy , Taxoids/pharmacology
3.
Trop Biomed ; 32(4): 699-703, 2015 Dec 01.
Article in English | MEDLINE | ID: mdl-33557461

ABSTRACT

Amoebic liver abscess in pregnancy is genuinely rare in its presentation. Yet, the main issue surrounding this agenda is the diagnostic challenge that it poses especially when symptomatology is vague and clues are subtle which altogether evades the diagnosis proper. We would like to dwell mainly on these issues in hopes of enlightening clinicians towards these diagnostic dilemmas. We report an extremely rare case of amoebic liver abscess occurring in the third trimester of pregnancy in a 29-year-old lady living in an interior village in Sabah. It was a combination of biochemical, radiographic and molecular investigations that ultimately led to the final diagnosis. In lieu of the high risk of mortality amongst pregnant mothers afflicted with amoebic liver abscess, the inherent need for early diagnosis requiring a high index of suspicion is vital. Elevated alkaline phosphatase alongside neutrophilia appears to be the most consistent liver parameters in guiding clinicians towards the presence of liver abscess.

4.
Tropical Biomedicine ; : 699-703, 2015.
Article in English | WPRIM (Western Pacific) | ID: wpr-630643

ABSTRACT

Amoebic liver abscess in pregnancy is genuinely rare in its presentation. Yet, the main issue surrounding this agenda is the diagnostic challenge that it poses especially when symptomatology is vague and clues are subtle which altogether evades the diagnosis proper. We would like to dwell mainly on these issues in hopes of enlightening clinicians towards these diagnostic dilemmas. We report an extremely rare case of amoebic liver abscess occurring in the third trimester of pregnancy in a 29-year-old lady living in an interior village in Sabah. It was a combination of biochemical, radiographic and molecular investigations that ultimately led to the final diagnosis. In lieu of the high risk of mortality amongst pregnant mothers afflicted with amoebic liver abscess, the inherent need for early diagnosis requiring a high index of suspicion is vital. Elevated alkaline phosphatase alongside neutrophilia appears to be the most consistent liver parameters in guiding clinicians towards the presence of liver abscess.

5.
Ann Oncol ; 25(12): 2392-2397, 2014 Dec.
Article in English | MEDLINE | ID: mdl-25231954

ABSTRACT

BACKGROUND: The promyelocytic leukemia (PML) tumor suppressor plays an important role in the response to a variety of cellular stressors and its expression is downregulated or lost in a range of human tumors. We have previously shown that the E3 ligase E6-associated protein (E6AP) is an important regulator of PML protein stability but the relationship and clinical impact of PML and E6AP expression in prostatic carcinoma is unknown. METHODS: E6AP and PML expression was assessed in tissue microarrays from a phase I discovery cohort of 170 patients treated by radical prostatectomy for localized prostate cancer (PC). Correlation analysis was carried out between PML and E6AP expression and clinicopathological variates including PSA as a surrogate of disease recurrence. The results were confirmed in a phase II validation cohort of 318 patients with associated clinical recurrence and survival data. RESULTS: Survival analysis of the phase I cohort revealed that patients whose tumors showed reduced PML and high E6AP expression had reduced time to PSA relapse (P = 0.012). This was confirmed in the phase II validation cohort where the expression profile of high E6AP/low PML was significantly associated with reduced time to PSA relapse (P < 0.001), clinical relapse (P = 0.016) and PC-specific death (P = 0.014). In multivariate analysis, this expression profile was an independent prognostic indicator of PSA relapse and clinical relapse independent of clinicopathologic factors predicting recurrence. CONCLUSION: This study identifies E6AP and PML as potential prognostic markers in localized prostate carcinoma and supports a role for E6AP in driving the downregulation or loss of PML expression in prostate carcinomas.


Subject(s)
Nuclear Proteins/metabolism , Prostatic Neoplasms/metabolism , Transcription Factors/metabolism , Tumor Suppressor Proteins/metabolism , Ubiquitin-Protein Ligases/metabolism , Cohort Studies , Disease Progression , Humans , Male , Promyelocytic Leukemia Protein , Prostatic Neoplasms/mortality , Prostatic Neoplasms/pathology
6.
Med J Malaysia ; 69(1): 40-1, 2014 Feb.
Article in English | MEDLINE | ID: mdl-24814630

ABSTRACT

We report a case of Staphylococcus aureus infective endocarditis in a patient presenting with fever and rare cutaneous manifestations of Osler Nodes and Janeway Lesions. There had not been any distinct risk factors. His echocardiography subsequently revealed vegetation at the anterior mitral valve leaflet. As Staphylococcus aureus infective endocarditis is of utmost significance in morbidity and mortality, a sharp clinical acumen and follow up investigations is required alongside a prolonged course of antibiotics. Our patient was then started on intravenous cloxacillin for 28 days and gentamicin for 5 days to which he made good progress and recovery.

7.
Br J Cancer ; 110(10): 2462-71, 2014 May 13.
Article in English | MEDLINE | ID: mdl-24714754

ABSTRACT

BACKGROUND: Docetaxel is the first-line chemotherapy for castration-resistant prostate cancer (CRPC). However, response rates are ∼50% and determined quite late in the treatment schedule, thus non-responders are subjected to unnecessary toxicity. The potential of circulating microRNAs as early biomarkers of docetaxel response in CRPC patients was investigated in this study. METHODS: Global microRNA profiling was performed on docetaxel-resistant and sensitive cell lines to identify candidate circulating microRNA biomarkers. Custom Taqman Array MicroRNA cards were used to measure the levels of 46 candidate microRNAs in plasma/serum samples, collected before and after docetaxel treatment, from 97 CRPC patients. RESULTS: Fourteen microRNAs were associated with serum prostate-specific antigen (PSA) response or overall survival, according to Mann-Whitney U or log-rank tests. Non-responders to docetaxel and patients with shorter survival generally had high pre-docetaxel levels of miR-200 family members or decreased/unchanged post-docetaxel levels of miR-17 family members. Multivariate Cox regression with bootstrapping validation showed that pre-docetaxel miR-200b levels, post-docetaxel change in miR-20a levels, pre-docetaxel haemoglobin levels and visceral metastasis were independent predictors of overall survival when modelled together. CONCLUSIONS: Our study suggests that circulating microRNAs are potential early predictors of docetaxel chemotherapy outcome, and warrant further investigation in clinical trials.


Subject(s)
Adenocarcinoma/drug therapy , Androgen Antagonists/therapeutic use , Antineoplastic Agents, Hormonal/therapeutic use , Antineoplastic Agents, Phytogenic/therapeutic use , Biomarkers, Tumor/blood , Drug Resistance, Neoplasm/genetics , MicroRNAs/blood , Prostatic Neoplasms/drug therapy , RNA, Neoplasm/blood , Taxoids/therapeutic use , Adenocarcinoma/genetics , Adenocarcinoma/pathology , Adenocarcinoma/secondary , Adenocarcinoma/surgery , Aged , Aged, 80 and over , Antineoplastic Agents, Phytogenic/pharmacology , Cell Line, Tumor/drug effects , Docetaxel , Gene Expression Profiling , Humans , Kaplan-Meier Estimate , Male , Middle Aged , Proportional Hazards Models , Prostate-Specific Antigen/blood , Prostatic Neoplasms/genetics , Prostatic Neoplasms/pathology , ROC Curve , Risk Factors , Taxoids/pharmacology , Treatment Outcome
8.
Biomech Model Mechanobiol ; 11(1-2): 49-59, 2012 Jan.
Article in English | MEDLINE | ID: mdl-21308391

ABSTRACT

We have developed a three-dimensional random network model of the intracellular actin cytoskeleton and have used it to study the role of the cytoskeleton in mechanotransduction and nucleus deformation. We use the model to predict the deformation of the nucleus when mechanical stresses applied on the plasma membrane are propagated through the random cytoskeletal network to the nucleus membrane. We found that our results agree with previous experiments utilizing micropipette pulling. Therefore, we propose that stress propagation through the random cytoskeletal network can be a mechanism to effect nucleus deformation, without invoking any biochemical signaling activity. Using our model, we also predict how nucleus strain and its relative displacement within the cytosol vary with varying concentrations of actin filaments and actin-binding proteins. We find that nucleus strain varies in a sigmoidal manner with actin filament concentration, while there exists an optimal concentration of actin-binding proteins that maximize nucleus displacement. We provide a theoretical analysis for these nonlinearities in terms of the connectivity of the random cytoskeletal network. Finally, we discuss laser ablation experiments that can be performed to validate these results in order to advance our understanding of the role of the cytoskeleton in mechanotransduction.


Subject(s)
Cell Nucleus/metabolism , Cytoskeleton/metabolism , Mechanotransduction, Cellular , Models, Biological , Cell Membrane/metabolism , Computer Simulation , Nonlinear Dynamics , Nuclear Envelope/metabolism , Reproducibility of Results
9.
Phys Rev E Stat Nonlin Soft Matter Phys ; 84(5 Pt 2): 056322, 2011 Nov.
Article in English | MEDLINE | ID: mdl-22181513

ABSTRACT

The hydrodynamic interaction between two nonspherical capsules suspended in a simple shear flow is studied numerically using a front-tracking method. The capsules are enclosed by thin shells which develop in-plane tensions and bending moments due to a preferred three-dimensional unstressed configuration. Computations are performed for capsules with spherical, oblate spheroidal, and biconcave unstressed shapes for a wide range of dimensionless shear rates and initial separation distances between the two capsules. The bending modulus and viscosity ratio between the internal and surrounding fluids are chosen to be those of healthy red blood cells. Depending on the initial separation distance, we find that two spherical capsules in shear flow either cross over each other or undergo spiraling motion. In addition, the long-time interaction behavior of capsules also depends strongly on the unstressed shapes. More oblate or biconcave capsules exhibit two additional type of interactions, namely swapping and continuous rotation, which occur only when each capsule undergoes tumbling motion.


Subject(s)
Biophysics/methods , Cell Shape , Erythrocytes/cytology , Erythrocyte Membrane/metabolism , Humans , Hydrodynamics , Models, Statistical , Models, Theoretical , Motion , Pressure , Shear Strength , Stress, Mechanical , Time Factors , Viscosity
10.
Biophys J ; 101(9): 2122-30, 2011 Nov 02.
Article in English | MEDLINE | ID: mdl-22067149

ABSTRACT

Circular dorsal ruffles (CDRs) are transient actin-rich ringlike structures that form on the dorsal surface of growth-factor stimulated cells. However, the dynamics and mechanism of formation of CDRs are still unknown. It has been observed that CDR formation leads to stress fibers disappearing near the CDRs. Because stress fiber formation can be modified by substrate stiffness, we examined the effect of substrate stiffness on CDR formation by seeding NIH 3T3 fibroblasts on glass and polydimethylsiloxane substrates of varying stiffnesses from 20 kPa to 1800 kPa. We found that increasing substrate stiffness increased the lifetime of the CDRs. We developed a mathematical model of the signaling pathways involved in CDR formation to provide insight into this lifetime and size dependence that is linked to substrate stiffness via Rac-Rho antagonism. From the model, increasing stiffness raised mDia1-nucleated stress fiber formation due to Rho activation. The increased stress fibers present increased replenishment of the G-actin pool, therefore prolonging Arp2/3-nucleated CDR formation due to Rac activation. Negative feedback by WAVE-related RacGAP on Rac explained how CDR actin propagates as an excitable wave, much like wave propagation in other excitable medium, e.g., nerve signal transmission.


Subject(s)
Cell Surface Extensions/drug effects , Fibroblasts/cytology , Models, Biological , Platelet-Derived Growth Factor/pharmacology , Actins/metabolism , Animals , Computer Simulation , Dimethylpolysiloxanes/pharmacology , Feedback, Physiological/drug effects , Fibroblasts/drug effects , Fibroblasts/metabolism , Focal Adhesion Protein-Tyrosine Kinases/metabolism , Mice , NIH 3T3 Cells , Receptors, Platelet-Derived Growth Factor/metabolism , Stress Fibers/drug effects , Stress Fibers/metabolism , Time Factors , rac GTP-Binding Proteins/metabolism , rho GTP-Binding Proteins/antagonists & inhibitors , rho GTP-Binding Proteins/metabolism
11.
Phys Rev E Stat Nonlin Soft Matter Phys ; 83(5 Pt 2): 056301, 2011 May.
Article in English | MEDLINE | ID: mdl-21728641

ABSTRACT

Using numerical simulations, we study the separation of deformable bodies, such as capsules, vesicles, and cells, in deterministic lateral displacement devices, also known as bump arrays. These arrays comprise regular rows of obstacles such as micropillars whose arrangements are shifted between adjacent rows by a fixed amount. We show that, in addition to the zigzag and laterally displaced trajectories that have been observed experimentally, there exists a third type of trajectory which we call dispersive, characterized by seemingly random bumpings off the micropillars. These dispersive trajectories are observed only for large and rigid particles whose diameters are approximately more than half the gap size between micropillars and whose stiffness exceeds approximately 500 MPa. We then map out the regions in phase space, spanned by the row shift, row separation, particle diameter, and particle deformability, in which the different types of trajectories are expected. We also show that, in this phase space, it is possible to transition from zigzag to dispersive trajectories, bypassing lateral displacement. Experimentally, this is undesirable because it limits the ability of the device to sort particles according to size. Finally, we discuss how our numerical simulations may be of use in device prototyping and optimization.

12.
Phys Rev E Stat Nonlin Soft Matter Phys ; 84(6 Pt 1): 061907, 2011 Dec.
Article in English | MEDLINE | ID: mdl-22304116

ABSTRACT

Cells propel themselves along a substrate by organizing structures at the leading edge called lamellipodia that contain the actin network, myosin, integrin, and other proteins. In this article, we describe a quantitative model that couples the response of stretch-sensitive proteins in the lamellipodia to the dynamics of the actin cytoskeleton, therefore allowing the cell to respond to different substrate stiffnesses. Using this model, we predict the various phases of dynamics possible, including continuous protrusion, unstable retractions leading to ruffling, and periodic protrusion-retraction cycles. We explain the necessary conditions for each type of migratory behavior to occur. In particular, we show that, for periodic protrusion-retraction cycles to occur, the stiffness of the substrate must be high, the myosin-dependent maturation rate of nascent to focal adhesions must be high, and the myosin-independent integrin activation rate must be low. In addition, we also predict the dynamics expected at a given substrate stiffness, leading to a quantitative explanation of experimental data that showed that periodic protrusion-retraction cycles disappear when cells are placed on soft substrates. We also suggest experiments with downregulating α actinin and/or talin and upregulating p130Cas and make predictions on what types of migratory dynamics will be observed.


Subject(s)
Cell Movement , Mechanical Phenomena , Models, Biological , Actins/metabolism , Biomechanical Phenomena , Focal Adhesions/metabolism , Integrins/metabolism , Pseudopodia/metabolism , Signal Transduction
13.
Phys Rev E Stat Nonlin Soft Matter Phys ; 81(5 Pt 1): 051924, 2010 May.
Article in English | MEDLINE | ID: mdl-20866278

ABSTRACT

Experiments have shown that mechanical stress can regulate many cellular processes. However, in most cases, the exact regulatory mechanisms are still not well understood. One approach in improving our understanding of such mechanically induced regulation is the quantitative study of cell deformation under an externally applied stress. In this paper, an axisymmetric finite-element model is developed and used to study the deformation of single, suspended fibroblasts in an optical stretcher in which a stretching force is applied onto the surface of the cell. A feature of our physical model is a viscoelastic material equation whose parameters vary spatially to mimic the experimentally observed spatial heterogeneity of cellular material properties. Our model suggests that cell size is a more important factor in determining the maximal strain of the optically stretched fibroblasts compared to the thickness of the actin cortical region. This result could explain the higher deformability observed experimentally for malignant fibroblasts in the optical stretcher. Our model also shows that maximal stress propagates into the nuclear region for malignant fibroblasts whereas for normal fibroblasts, it does not. We discuss how this may impact the transduction of cancer signaling pathways.


Subject(s)
Biophysics/methods , Fibroblasts/metabolism , Neoplasms/metabolism , Actins/chemistry , Animals , Cell Movement , Computer Simulation , Elasticity , Finite Element Analysis , Humans , Signal Transduction , Stress, Mechanical , Surface Properties , Time Factors , Viscosity
14.
Phys Rev E Stat Nonlin Soft Matter Phys ; 81(4 Pt 1): 041923, 2010 Apr.
Article in English | MEDLINE | ID: mdl-20481769

ABSTRACT

Membrane waves have been observed near the leading edge of a motile cell. Such phenomenon is the result of the interplay between hydrodynamics and adhesive dynamics. Here we consider membrane dynamics on a thin fluid gap supported by adhesive bonds. Using coupled lubrication theory and adhesive dynamics, we derive an evolution equation to account for membrane tension, bending, adhesion, and viscous lubrication. Four adhesion scenarios are examined: no adhesion, uniform adhesion, clustered adhesion, and focal adhesion. Two contrasting traveling wave types are found, namely, tension and adhesion waves. Tension waves disperse with time and space, whereas adhesion waves show increased amplitudes and are highly persistent. We show that the transition from tension to adhesion waves depends on a necessary, but insufficient, criterion that the wave amplitude must exceed a critical gap height, which is dependent on adhesion binding probability. We also show that strong adhesion results in sharp tension-to-adhesion wave transitions. The present work could explain the strong persistence of the waves observed in adhered cells using differential inference contrast (DIC) microscopy and the observation that the wavelengths decrease shortly after leading edge retraction.


Subject(s)
Cell Membrane/metabolism , Lubrication , Cell Adhesion , Focal Adhesions/metabolism , Models, Biological
15.
J R Soc Interface ; 7 Suppl 3: S351-63, 2010 Jun 06.
Article in English | MEDLINE | ID: mdl-20356873

ABSTRACT

The epithelium of the intestinal crypt is a dynamic tissue undergoing constant regeneration through cell growth, cell division, cell differentiation and apoptosis. How the epithelial cells maintain correct positioning and how they migrate in a directed and collective fashion are still not well understood. In this paper, we developed a computational model to elucidate these processes. We show that differential adhesion between epithelial cells, caused by the differential activation of EphB receptors and ephrinB ligands along the crypt axis, is necessary to regulate cell positioning. Differential cell adhesion has been proposed previously to guide cell movement and cause cell sorting in biological tissues. The proliferative cells and the differentiated post-mitotic cells do not intermingle as long as differential adhesion is maintained. We also show that, without differential adhesion, Paneth cells are randomly distributed throughout the intestinal crypt. In addition, our model suggests that, with differential adhesion, cells migrate more rapidly as they approach the top of the intestinal crypt. Finally, by calculating the spatial correlation function of the cell velocities, we observe that differential adhesion results in the differentiated epithelial cells moving in a coordinated manner, where correlated velocities are maintained at large distances, suggesting that differential adhesion regulates coordinated migration of cells in tissues.


Subject(s)
Cell Adhesion/physiology , Cell Movement/physiology , Computational Biology/methods , Intestinal Mucosa/cytology , Models, Biological , Receptors, Eph Family/metabolism , Computer Simulation
16.
Phys Rev E Stat Nonlin Soft Matter Phys ; 78(5 Pt 2): 056708, 2008 Nov.
Article in English | MEDLINE | ID: mdl-19113238

ABSTRACT

Subdiffusion is an important physical phenomenon observed in many systems. However, numerical techniques to study it, especially when coupled to reactions, are lacking. In this paper, we develop an efficient Monte Carlo algorithm based on the Gillespie algorithm and the continuous-time random walk to simulate reaction-subdiffusion systems. Using this algorithm, we investigate Turing pattern formation in the Schnakenberg model with subdiffusion. First, we show that, as the system becomes more subdiffusive, the homogeneous state becomes more difficult to destablize and Turing patterns form less easily. Second, we show that, as the number of particles in the system decreases, the magnitude of fluctuations increases and again the Turing patterns form less easily. Third, we show that, as the system becomes more subdiffusive, the ratio between the two diffusive constants must be higher in order to observe Turing patterns. Finally, we also carry out linear stability analysis to validate the results obtained from our algorithm.

17.
Phys Rev E Stat Nonlin Soft Matter Phys ; 75(6 Pt 1): 061901, 2007 Jun.
Article in English | MEDLINE | ID: mdl-17677294

ABSTRACT

In this paper, we study the oscillatory dynamics of intracellular signaling cascades. We derive a reaction-diffusion model of the mitogen-activated protein kinase cascade, and use it to show how oscillations of the protein kinase concentrations can occur as a function of the depth of the cascade. We find that only cascades with depths of three or more layers undergo oscillatory instabilities. In addition, the oscillatory instability is spatially uniform. Thus, the oscillations synchronize the protein kinase concentrations and result in them being uniformly distributed in the cytosol, despite the presence of protein kinase diffusion. Finally, we show how the oscillations are perturbed when parallel cascades "crosstalk." We find that the protein kinases in the downstream layers of the cascade are less perturbed than those in the upstream layers. In particular, cascades of three layers are able to maintain the total power of the protein kinase activities at approximately the unperturbed level. Taken together, our results suggest that only cascades of at least three layers can synchronize the oscillations of protein kinases in the cytosol and operate in parallel in the presence of crosstalk without loss of signaling fidelity.


Subject(s)
Biological Clocks , Cytosol/metabolism , MAP Kinase Signaling System , Models, Biological , Signal Transduction , Animals , Diffusion , Humans , Protein Kinases/metabolism
18.
Phys Rev E Stat Nonlin Soft Matter Phys ; 74(5 Pt 1): 051910, 2006 Nov.
Article in English | MEDLINE | ID: mdl-17279942

ABSTRACT

In the intracellular environment, signaling takes place in a nonideal environment that is spatially heterogeneous and that is noisy, with the noise arising from the low copy numbers of the signaling molecules involved. In this paper, we model intracellular signaling pathways as stochastic reaction-diffusion processes and adapt techniques commonly used by physicists to solve for the spatiotemporal evolution of the signaling pathways. We then apply it to study two problems of relevance to the modeling of intracellular signaling pathways. First, we show that, in the limit of small protein diffusion which is typically the case for proteins in the cytosol crowded by other macromolecules, the extent of diffusion control, in the transient regime, on reactions is greater than previous predictions. Second, we show that the presence of scaffold proteins can modify the phosphorylation activity of a mitogen-activated protein kinase cascade, and explain how this activity is modulated by the scaffold protein concentration.


Subject(s)
Cell Physiological Phenomena , Models, Biological , Multienzyme Complexes/metabolism , Proteome/metabolism , Signal Transduction/physiology , Algorithms , Computer Simulation , Diffusion , Models, Statistical , Stochastic Processes
19.
Phys Rev E Stat Nonlin Soft Matter Phys ; 71(3 Pt 2A): 036205, 2005 Mar.
Article in English | MEDLINE | ID: mdl-15903544

ABSTRACT

To understand how spatiotemporal chaos may modify material transport, we use direct numerical simulations of the three-dimensional Boussinesq equations and of an advection-diffusion equation to study the transport of a passive tracer by the spiral defect chaos state of a convecting fluid. The simulations show that the transport is diffusive and is enhanced by the spatiotemporal chaos. The enhancement in tracer diffusivity follows two regimes. For large Péclet numbers (that is, small molecular diffusivities of the tracer), we find that the enhancement is proportional to the Péclet number. For small Péclet numbers, the enhancement is proportional to the square root of the Péclet number. We explain the presence of these two regimes in terms of how the local transport depends on the local wave numbers of the convection rolls. For large Péclet numbers, we further find that defects cause the tracer diffusivity to be enhanced locally in the direction orthogonal to the local wave vector but suppressed in the direction of the local wave vector.

20.
Phys Rev Lett ; 93(6): 064503, 2004 Aug 06.
Article in English | MEDLINE | ID: mdl-15323635

ABSTRACT

The coarsening and wave number selection of striped states growing from random initial conditions are studied in a nonrelaxational, spatially extended, and far-from-equilibrium system by performing large-scale numerical simulations of Rayleigh-Bénard convection in a large-aspect-ratio cylindrical domain with experimentally realistic boundaries. We find evidence that various measures of the coarsening dynamics scale in time with different power-law exponents, indicating that multiple length scales are required in describing the time dependent pattern evolution. The translational correlation length scales with time as t0.12, the orientational correlation length scales as t0.54, and the density of defects scale as t(-0.45). The final pattern evolves toward the wave number where isolated dislocations become motionless, suggesting a possible wave number selection mechanism for large-aspect-ratio convection.

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