Time‐delayed models of gene regulatory networks
K Parmar, KB Blyuss, YN Kyrychko… - … methods in medicine, 2015 - Wiley Online Library
We discuss different mathematical models of gene regulatory networks as relevant to the
onset and development of cancer. After discussion of alternative modelling approaches, we …
onset and development of cancer. After discussion of alternative modelling approaches, we …
Inferring single-cell gene regulatory network by non-redundant mutual information
Gene regulatory network plays a crucial role in controlling the biological processes of living
creatures. Deciphering the complex gene regulatory networks from experimental data …
creatures. Deciphering the complex gene regulatory networks from experimental data …
Hyperbolic Systems of Balance Laws
In this chapter we provide an introduction to the modeling of balance laws by hyperbolic
partial differential equations (PDEs). A balance law is the mathematical expression of the …
partial differential equations (PDEs). A balance law is the mathematical expression of the …
Efficient sampling of bacterial signal transduction for detection of pulse-amplitude modulated molecular signals
The sampling of the bacterial signal transduction is investigated for molecular
communication (MC). It is assumed that the finite-duration amplitude modulated, ie, pulse …
communication (MC). It is assumed that the finite-duration amplitude modulated, ie, pulse …
Network-based approach and IVI methodologies, a combined data investigation identified probable key genes in cardiovascular disease and chronic kidney disease
In fact, the risk of dying from CVD is significant when compared to the risk of developing end-
stage renal disease (ESRD). Moreover, patients with severe CKD are often excluded from …
stage renal disease (ESRD). Moreover, patients with severe CKD are often excluded from …
Fixed points of Boolean networks, guessing graphs, and coding theory
M Gadouleau, A Richard, S Riis - SIAM Journal on Discrete Mathematics, 2015 - SIAM
In this paper, we are interested in the number of fixed points of functions f:A^n→A^n over a
finite alphabet A defined on a given signed digraph D. We first use techniques from network …
finite alphabet A defined on a given signed digraph D. We first use techniques from network …
[HTML][HTML] Computational approaches to identify regulators of plant stress response using high-throughput gene expression data
Insight into biological stress regulatory pathways can be derived from high-throughput
transcriptomic data using computational algorithms. These algorithms can be integrated into …
transcriptomic data using computational algorithms. These algorithms can be integrated into …
Stability analysis of nonlinear time–delayed systems with application to biological models
HA Kruthika, AD Mahindrakar… - International Journal of …, 2017 - sciendo.com
In this paper, we analyse the local stability of a gene-regulatory network and immunotherapy
for cancer modelled as nonlinear time-delay systems. A numerically generated kernel, using …
for cancer modelled as nonlinear time-delay systems. A numerically generated kernel, using …
Qualitative control strategies for synchronization of bistable gene regulatory networks
In this article, we investigate the emergent dynamics in a network of coupled cells, each
expressing a similar genetic bistable switch. The bistable switch is modeled as a piecewise …
expressing a similar genetic bistable switch. The bistable switch is modeled as a piecewise …
Modeling transcriptional factor cross-talk to understand parabolic kinetics, bimodal gene expression and retroactivity in biosensor design
Transcriptional factor-based biosensor has been widely used to reprogram and adjust
cellular activity to the changing environment. These biosensors translate an internal cellular …
cellular activity to the changing environment. These biosensors translate an internal cellular …