Abstract Systems biology is a new discipline built upon the premise that an understanding of
how cells and organisms carry out their functions cannot be gained by looking at cellular …

Biogeochemical models increasingly consider the microbial control of carbon cycling in soil.
The major current challenge is to validate mechanistic descriptions of microbial processes …

Engineering multicellular patterning may help in the understanding of some fundamental
laws of pattern formation and thus may contribute to the field of developmental biology …

The theory of probability and stochastic processes is often neglected in the education of
chemists and biologists, although modern experimental techniques allow for investigations …

The mathematics of inverse problems has relevance across numerous estimation problems
in science and engineering. L 1 regularization has attracted recent attention in …

Non-linear regression is the primary tool for estimating kinetic models of chemical reactions.
The default approach of minimizing the sum of squared residuals tends to underperform in …

In this paper we present a numerical algorithm for the optimization of a Tikhonov functional
with an ℓp-sparsity constraints and p< 1. Recently, it was proven that the minimization of this …

The inference of reaction rate parameters in biochemical network models from time series
concentration data is a central task in computational systems biology. Under the assumption …

A promising approach to quantify reaction rate parameters is to formulate and solve inverse
problems by minimizing the deviation between simulation and measurement. One major …

Inverse problems are ubiquitous in science and engineering. Two categories of inverse
problems concerning a physical system are (1) estimate parameters in a model of the …