Biology subjects

Isaacson, S. A.

Publications and source records attributed to Isaacson, S. A..

4 recordsLinked to original sources

bioRxiv2022

Catalyst: Fast Biochemical Modeling with Julia

We introduce Catalyst.jl, a flexible and feature-filled Julia library for modeling and high-performance simulation of chemical reaction networks (CRNs). Catalyst supports simulating stochastic chemical kinetics (jump process), chemical Langevin equation (stochastic differential equation), and reaction rate equation (ordinary differential equation) representations for CRNs. Through comprehensive benchmarks, we demonstrate that Catalyst simulation runtimes are often one to two orders of magnitude faster than other popular tools. More broadly, Catalyst acts as both a domain-specific language and an intermediate representation for symbolically encoding CRN models as Julia-native objects. This enables a pipeline of symbolically specifying, analyzing, and modifying CRNs; converting Catalyst models to symbolic representations of concrete mathematical models; and generating compiled code for numerical solvers. Leveraging ModelingToolkit.jl and Symbolics.jl, Catalyst models can be analyzed, simplified, and compiled into optimized representations for use in numerical solvers. Finally, we demonstrate Catalysts broad extensibility and composability by highlighting how it can compose with a variety of Julia libraries, and how existing open-source biological modeling projects have extended its intermediate representation.

systems biology↗

bioRxiv2020

Regulated unbinding of ZAP70 at the T cell receptor by kinetic avidity

Protein-protein binding domains are critical in signalling networks. Src homology 2 (SH2) domains are binding domains that interact with sequences containing phosphorylated tyrosines. A subset of SH2 domain-containing proteins have tandem domains, which are thought to enhance binding affinity and specificity. However, a trade-off exists between long-lived binding and the ability to rapidly reverse signalling, which is a critical requirement of noise filtering mechanisms such as kinetic proofreading. Here, we use modelling to show that the unbinding rate of tandem, but not single, SH2 domains can be accelerated by phosphatases when tandem domains bind by a kinetic, but not a static, avidity mode. We use surface plasmon resonance to show that ZAP70, a tandem SH2 domain-containing kinase, binds kinetically to biphosphorylated peptides from the T cell antigen receptor (TCR) and that the unbinding rate can be accelerated by the phosphatase CD45. An important functional prediction of regulated unbinding is that the intracellular ZAP70/TCR half-life in T cells will be correlated to the extracellular TCR/antigen half-life and we show that this is the case in both cell lines and primary T cells. The work highlights that binding by kinetic avidity breaks the trade-off between signal fidelity (requiring long half-life) and signal reversibility (requiring short half-life), which is a key requirement for T cell antigen discriminated mediated by kinetic proofreading.

immunology↗

bioRxiv2020

Strong intracellular signal inactivation produces sharper and more robust signaling from cell membrane to nucleus

For a chemical signal to propagate across a cell, it must navigate a tortuous environment involving a variety of organelle barriers. In this work we study mathematical models for a basic chemical signal, the arrival times at the nuclear membrane of proteins that are activated at the cell membrane and diffuse throughout the cytosol. Organelle surfaces within human B cells are reconstructed from soft X-ray tomographic images, and modeled as reflecting barriers to the molecules diffusion. We show that signal inactivation sharpens signals, reducing variability in the arrival time at the nuclear membrane. Inactivation can also compensate for an observed slowdown in signal propagation induced by the presence of organelle barriers, leading to arrival times at the nuclear membrane that are comparable to models in which the cytosol is treated as an open, empty region. In the limit of strong signal inactivation this is achieved by filtering out molecules that traverse non-geodesic paths.

biophysics↗

bioRxiv2018

The Influence of Molecular Reach and Diffusivity on the Efficacy of Membrane-Confined Reactions

Signalling by surface receptors often relies on tethered reactions whereby an enzyme bound to the cytoplasmic tail f a receptor catalyses reactions on substrates within reach. The overall length and stiffness of the receptor tail, the enzyme, and the substrate determine a biophysical parameter termed the molecular reach of the reaction. This parameter determines the probability that the receptor-tethered-enzyme will contact the substrate, in the volume proximal to the membrane, when separated by different distances within the membrane plane. Here, we develop particle-based stochastic reaction-diffusion models to study the interplay between molecular reach and diffusion. We find that increasing the molecular reach can increase reaction efficacy when diffusion is slow, but when diffusion is fast, increasing molecular reach reduces reaction efficacy. This switching is lost if reactions are forced to take place within the 2D plasma membrane instead of the 3D volume proximal to it, or if molecules diffuse in 3D. We show results in the context of immune receptors (PD-1 dephosphorylating CD28), a standard opposing kinase-phosphatase reaction, and a minimal two-particle model. The work highlights the 3D nature of many 2D membrane-confined interactions, illustrating a role for molecular reach in controlling biochemical reactions.

biophysics↗