A Mathematical Model for the Kinetics of the MalFGK[Formula: see text] Maltose Transporter

Bull Math Biol. 2020 May 15;82(5):62. doi: 10.1007/s11538-020-00737-8.

Abstract

The MalFGK[Formula: see text] transporter regulates the movement of maltose across the inner membrane of E. coli and serves as a model system for bacterial ATP binding cassette (ABC) importers. Despite the wealth of biochemical and structural data available, a general model describing the various translocation pathways is still lacking. In this study, we formulate a mathematical model with the goal of determining the transporter reaction pathway, specifically looking at the order of binding events and conformation changes by which transport proceeds. Fitting our mathematical model to equilibrium binding data, we estimate the unknown equilibrium parameters of the system, several of which are key determinants of the transport process. Using these estimates along with steady-state ATPase rate data, we determine which of several possible reaction pathways is dominant, as a function of five underdetermined kinetic parameter values. Because neither experimental measurements nor estimates of certain kinetic rate constants are available, the problem of deciding which of the reaction pathways is responsible for transport remains unsolved. However, using the mathematical framework developed here, a firmer conclusion regarding the dominant reaction pathway as a function of MalE and maltose concentration could be drawn once these unknown kinetic parameters are determined.

Keywords: ABC transporter; E. coli; Kinetics; Maltose; Mathematical model; Membrane transport.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • ATP-Binding Cassette Transporters / chemistry
  • ATP-Binding Cassette Transporters / metabolism*
  • Biological Transport, Active
  • Escherichia coli / metabolism
  • Escherichia coli Proteins / chemistry
  • Escherichia coli Proteins / metabolism*
  • Kinetics
  • Ligands
  • Maltose / metabolism*
  • Mathematical Concepts
  • Metabolic Networks and Pathways
  • Models, Biological*
  • Protein Conformation

Substances

  • ATP-Binding Cassette Transporters
  • Escherichia coli Proteins
  • Ligands
  • maltose transport system, E coli
  • Maltose

Grants and funding