The Stochastic Θ-Method for Nonlinear Stochastic Volterra Integro-Differential Equations
The stochastic Θ-method is extended to solve nonlinear stochastic Volterra integro-differential equations. The mean-square convergence and asymptotic stability of the method are studied. First, we prove that the stochastic Θ-method is convergent of order
Peng Hu, Chengming Huang
doaj +1 more source
Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding
In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança +2 more
wiley +1 more source
Solution of Static Field Problems With Random Domains [PDF]
A method to solve stochastic partial differential equations on random domains consists in using a one-to-one random mapping function which transforms the random domain into a deterministic domain.
Stephane Clenet +7 more
core +1 more source
Stochastic soliton solutions of ion sound and Langmuir wave equation via new extended direct algebraic method with bifurcation and modulation instability analyses [PDF]
This paper investigates the impact of multiplicative noise on the stochastic equations of ion sound and Langmuir waves in the Itô sense. The stochastic soliton solutions of the stochastic equations of the ion sound and Langmuir waves are obtained by ...
Zuha Manzoor +3 more
doaj +1 more source
Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research
What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley +1 more source
Impact of Mining Disturbance on Highway Sustainability: A Case Study of Aleksinac Mine Area, Serbia
Underground coal mining in expansive basins has led to land subsidence, posing significant threats to the aboveground structures and the environment. Addressing this issue is paramount, necessitating accurate and reliable prediction methods.
Nenad M. Vušović +2 more
doaj +1 more source
Pair‐wise comparison of the CellSearch and FETCH enrichment technologies for circulating tumor cells (CTCs) from metastatic breast, prostate, and small cell lung cancer patients shows an increased capture of CTCs using FETCH enrichment. The clinical implementation of circulating tumor cells (CTCs) as a predictive tool for therapy efficacy in the ...
Michiel Stevens +6 more
wiley +1 more source
Stochastic average model methods
We consider the solution of finite-sum minimization problems, such as those appearing in nonlinear least-squares or general empirical risk minimization problems. We are motivated by problems in which the summand functions are computationally expensive and evaluating all summands on every iteration of an optimization method may be undesirable.
Matt Menickelly, Stefan M. Wild
openaire +5 more sources
The stochastic dynamical behaviors of the gene regulatory circuit in Bacillus subtilis
In recent years, the gene regulatory circuit in biological systems has attracted a considerable interest. In this paper, we consider the dynamical behaviors of the gene regulatory circuit in Bacillus subtilis, including deterministic system and ...
Liang Wang +4 more
doaj +1 more source
A stochastic Fubini theorem: BSDE method
In this paper, we prove a stochastic Fubini theorem by solving a special backward stochastic differential equation (BSDE, for short) which is different from the existing techniques. As an application, we obtain the well-posedness of a class of BSDEs with
Yanqing Wang
doaj +1 more source

