Probabilistic modeling of rosette formation

Memory in repetitive protein–protein interaction series

Interactions between proteins coordinate biological processes in an organism and may impact its responses to changing environments and diseases through feedback systems. Feedback systems function by using changes in the past to influence behaviors in the future, which we refer to here as memory. Here, we summarized several observations made, ideas conceptualized, and mathematical models developed for quantitatively analyzing memory effects in repetitive protein–protein interactions (PPIs). Specifically, we consider how proteins on the cell or in isolation retain information about prior interactions to impact current interactions. The micropipette, biomembrane force probe, and atomic force microscopic techniques were used to repeatedly assay PPIs. The resulting time series were analyzed by a previous and two new models to extract three memory indices of short (seconds), intermediate (minutes), and long (hours) timescales. We found that interactions of cell membrane, but not soluble, T cell receptor (TCR) with peptide-major histocompatibility complex (pMHC) exhibits short-term memory that impacts on-rate, but not off-rate of the binding kinetics. Peptide dissociation from MHC resulted in intermediate- and long-term memories in TCR–pMHC interactions. However, we observed no changes in kinetic parameters by repetitive measurements on living cells over intermediate timescales using stable pMHCs. Parameters quantifying memory effects in PPIs could provide additional information regarding biological mechanisms. The methods developed herein also provide tools for future research.

Stick, stretch, and scan imaging method for DNA and filaments

Biomolecules and organelles usually undergo changes to their structure or form as a result of mechanical stretching or stimulation. It is critical to be able to observe these changes and responses, which trigger mechano-chemical coupling or signal transduction. Advanced techniques have been developed to observe structure and form during manipulation; however, these require sophisticated methods. We have developed a simple approach to observe fine structure after stretching without fluorophore labeling. DNAs or molecules on the cell surface were bound to magnetic microbeads, followed by stretching with a magnetic field. After fixing, staining, and drying, the samples were examined by scanning electron microscopy with no need to build a functional surface with complex processes. Straight DNAs were observed rather than random-walk-like loose polymers. In our cellular experiment, the magnetic beads were bound to a Jurkat cell and formed a rosette which was later stuck to the substrate. A 41.3 μm filament on the base of a filopodium was pulled out via integrin from a cell. Therefore, our method can reveal long structures up to hundreds of micrometers at nanometer resolution after stretching or twisting. Our approach could have wide applications in structure–function studies of biomolecules, and in mechanobiology and cell biology when diffraction cannot used.

Magnetic force was applied to stretch single DNAs and cells which were stuck to magnetic beads and substrates via simple conjugation methods. Scanning electron microscopy images show that the filopodia of cells were pulled to extraordinary length.

Adhesion frequency assay for in situ kinetics analysis of cross-junctional molecular interactions at the cell-cell interface

The micropipette adhesion assay was developed in 1998 to measure two-dimensional (2D) receptor-ligand binding kinetics. The assay uses a human red blood cell (RBC) as adhesion sensor and presenting cell for one of the interacting molecules. It employs micromanipulation to bring the RBC into contact with another cell that expresses the other interacting molecule with precisely controlled area and time to enable bond formation. The adhesion event is detected as RBC elongation upon pulling the two cells apart. By controlling the density of the ligands immobilized on the RBC surface, the probability of adhesion is kept in mid-range between 0 and 1. The adhesion probability is estimated from the frequency of adhesion events in a sequence of repeated contact cycles between the two cells for a given contact time. Varying the contact time generates a binding curve. Fitting a probabilistic model for receptor-ligand reaction kinetics to the binding curve returns the 2D affinity and off-rate. The assay has been validated using interactions of Fcγ receptors with IgG Fc, selectins with glycoconjugate ligands, integrins with ligands, homotypical cadherin binding, T cell receptor and coreceptor with peptide-major histocompatibility complexes. The method has been used to quantify regulations of 2D kinetics by biophysical factors, such as the membrane microtopology, membrane anchor, molecular orientation and length, carrier stiffness, curvature, and impingement force, as well as biochemical factors, such as modulators of the cytoskeleton and membrane microenvironment where the interacting molecules reside and the surface organization of these molecules. The method has also been used to study the concurrent binding of dual receptor-ligand species, and trimolecular interactions using a modified model. The major advantage of the method is that it allows study of receptors in their native membrane environment. The results could be very different from those obtained using purified receptors. It also allows study of the receptor-ligand interactions in a sub-second timescale with temporal resolution well beyond the typical biochemical methods. To illustrate the micropipette adhesion frequency method, we show kinetics measurement of intercellular adhesion molecule 1 (ICAM-1) functionalized on RBCs binding to integrin α(L)β(2) on neutrophils with dimeric E-selectin in the solution to activate α(L)β(2).

Theoretical study of the competition between cell-cell and cell-matrix adhesions

Adhesions between neighboring cells or between cells and their surrounding tissue/matrix play a crucial role in a wide range of biological processes. In order to investigate the competitive mechanisms between cell-cell and cell-matrix adhesions, we here develop a theoretical framework for multiple interacting cells lying on a planar matrix coated with distributed ligands. This model allows us to study, from the viewpoints of energy and statistics, the effects of such physical mechanisms as binding energy of bonds, nonspecific interactions, elastic deformation of cell membranes, and mixing entropy. Our calculations show that cell-matrix adhesion cannot occur when the ligand density on the matrix is lower than a threshold value, and cell-cell adhesion does not happen for a high ligand density. Glycocalyx repulsion plays a more important role in cell-matrix adhesion than in cell-cell adhesion. In addition, it is found that the cell-cell adhesion density decreases as the number of cells increases.

Kinetics of MHC-CD8 interaction at the T cell membrane

CD8 plays an important role in facilitating TCR-MHC interaction, promoting Ag recognition, and initiating T cell activation. MHC-CD8 binding kinetics have been measured in three dimensions by surface plasmon resonance technique using purified molecules. However, CD8 is a membrane-anchored, signaling kinase-linked, and TCR-associated molecule whose function depends on the cell membrane environment. Purified molecules lack their linkage to the membrane, which precludes interactions with other structures of the cell as well as signaling. Furthermore, three-dimensional binding in the fluid phase is biologically and physically distinct from two-dimensional binding across apposing cell membranes. As a first step toward characterizing the molecular interactions between T cells and APCs, we used a micropipette adhesion frequency assay to measure the adhesion kinetics of single mouse T cells interacting with single human RBCs coated with MHC. Using anti-TCR mAb we isolated and characterized the specific two-dimensional MHC-CD8 binding from the trimolecular TCR-MHC-CD8 interaction. The TCR-independent MHC-CD8 interaction has a very low affinity that depends on the MHC alleles, but not on the peptide complexed to the MHC and whether CD8 is an alphaalpha homodimer or an alphabeta heterodimer. Surprisingly, MHC-CD8 binding affinity varies with T cells from different TCR transgenic mice and these affinity differences were abolished by treatment with cholesterol oxidase to disrupt membrane rafts. These data highlight the relevance and importance of two-dimensional analysis of T cells and APCs and indicate that membrane rafts play an important role in modulating the affinity of cell-cell interactions.

Impact of carrier stiffness and microtopology on two-dimensional kinetics of P-selectin and P-selectin glycoprotein ligand-1 (PSGL-1) interactions

Mechanics and surface microtopology of the molecular carrier influence cell adhesion, but the mechanisms underlying these effects are not well understood. We used a micropipette adhesion frequency assay to quantify how the carrier stiffness and microtopology affected two-dimensional kinetics of interacting adhesion molecules on two apposing surfaces. Interactions of P-selectin with P-selectin glycoprotein ligand-1 (PSGL-1) were used to demonstrate such effects by presenting the molecules on three carrier systems: human red blood cells (RBCs), human promyelocytic leukemia HL-60 cells, and polystyrene beads. Stiffening the carrier alone or in cooperation with roughing the surface lowered the two-dimensional affinity of interacting molecules by reducing the forward rate but not the reverse rate, whereas softening the carrier and roughing the surface had opposing effects in affecting two-dimensional kinetics. In contrast, the soluble antibody bound with similar three-dimensional affinity to surface-anchored P-selectin or PSGL-1 constructs regardless of carrier stiffness and microtopology. These results demonstrate that the carrier stiffness and microtopology of a receptor influences its rate of encountering and binding a surface ligand but does not subsequently affect the stability of binding. This provides new insights into understanding the rolling and tethering mechanism of leukocytes onto endothelium in both physiological and pathological processes.