Results 31 to 40 of about 50,137 (307)

Derivation and computation of discrete-delayand continuous-delay SDEs in mathematical biology

Mathematical Biosciences and Engineering, 2013
Stochastic versions of several discrete-delay and continuous-delay differential equations, useful in mathematical biology, are derived from basic principles carefully taking into account the demographic, environmental, or physiological randomness in the ...
Edward J. Allen
doaj   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift

International Journal of Differential Equations, 2012
We have presented a numerical integration method to solve a class of singularly perturbed delay differential equations with small shift. First, we have replaced the second-order singularly perturbed delay differential equation by an asymptotically ...
Gemechis File, Y. N. Reddy
doaj   +1 more source

Exponential Multistep Methods for Stiff Delay Differential Equations

Axioms, 2022
Stiff delay differential equations are frequently utilized in practice, but their numerical simulations are difficult due to the complicated interaction between the stiff and delay terms.
Rui Zhan, Weihong Chen, Xinji Chen, Runjie Zhang   +3 more
doaj   +1 more source

β‐TrCP overexpression enhances cisplatin sensitivity by depleting BRCA1

Molecular Oncology, EarlyView.
Low levels of β‐TrCP (Panel A) allow the accumulation of BRCA1 and CtIP, which facilitate the repair of cisplatin‐induced DNA damage via homologous recombination (HR) and promote tumor cell survival. In contrast, high β‐TrCP expression (Panel B) leads to BRCA1 and CtIP degradation, impairing HR repair, resulting in persistent DNA damage and apoptosis ...
Rocío Jiménez‐Guerrero, Alejandro Belmonte‐Fernández, Mónica González‐Moreno, Laura Rodríguez‐Cordero, Begoña Pérez‐Valderrama, Joaquín Herrero‐Ruíz, Francisco Romero, Carmen Sáez, Miguel Á. Japón   +8 more
wiley   +1 more source

Nicotinamide N‐methyltransferase promotes drug resistance in lung cancer, as revealed by nascent proteomic profiling

Molecular Oncology, EarlyView.
AZD9291 has shown promise in targeted cancer therapy but is limited by resistance. In this study, we employed metabolic labeling and LC–MS/MS to profile time‐resolved nascent protein perturbations, allowing dynamic tracking of drug‐responsive proteins. We demonstrated that increased NNMT expression is associated with drug resistance, highlighting NNMT ...
Zhanwu Hou, Zhen Wang, Fei Yang, Xiao Han, Lei Li, Huadong Liu   +5 more
wiley   +1 more source

Linear Analysis of an Integro-Differential Delay Equation Model

International Journal of Differential Equations, 2018
This paper presents a computational study of the stability of the steady state solutions of a biological model with negative feedback and time delay. The motivation behind the construction of our system comes from biological gene networks and the model ...
Anael Verdugo
doaj   +1 more source

Computational method for singularly perturbed delay differential equations with twin layers or oscillatory behaviour

Ain Shams Engineering Journal, 2015
In this paper, we have presented a computational method for solving singularly perturbed delay differential equations with twin layers or oscillatory behaviour. In this method, the original second order singularly perturbed delay differential equation is
D. Kumara Swamy, K. Phaneendra, A. Benerji Babu, Y.N. Reddy   +3 more
doaj   +1 more source

A synthetic benzoxazine dimer derivative targets c‐Myc to inhibit colorectal cancer progression

Molecular Oncology, EarlyView.
Benzoxazine dimer derivatives bind to the bHLH‐LZ region of c‐Myc, disrupting c‐Myc/MAX complexes, which are evaluated from SAR analysis. This increases ubiquitination and reduces cellular c‐Myc. Impairing DNA repair mechanisms is shown through proteomic analysis.
Nicharat Sriratanasak, Bodee Nutho, Worawat Wattanathana, Narumon Phaonakrop, Bunnatut Panasawatwong, Katharina Erlenbach‐Wuensch, Sittiruk Roytrakul, Regine Schneider‐Stock, Pithi Chanvorachote   +8 more
wiley   +1 more source

Delay Differential Equations

, 2015
This is a short presentation on the topic of 'Delay Differential Equations'. In the latter part, I discuss a DDE system - the Mackey-Glass equation, in some detail (phase diagrams, bifurcations, chaos).
openaire   +2 more sources