single-particle process Consider a single particle of volume V ( t ) at time t which undergoes random, discontinuous “erosion” to smaller sizes in accord with the probabilistic law: Pr( V ( t + d t ) I u I V ( f ) = u’ 1 = B ( u I u’ )dt We let F( u, t ) be the cumulative distribution function for the size of the single particle undergoing random erosion. Suppose that the cumulative probability...

The death of GABAergic interneurons has long been hypothesized to contribute to acquired epilepsy. These experiments tested the hypothesis that focal interneuron lesions cause acute seizures [i.e., status epilepticus (SE)] and/or chronic epilepsy [i.e., persistent spontaneous recurrent seizures (SRSs)]. To selectively ablate interneurons, Gad2-ires-Cre mice were injected unilaterally in the CA1...

Vanadium is an oral insulin-mimetic agent that diminishes hyperglycemia, improves beta-cell insulin store and secretory function, and can reverse the diabetic state chronically after withdrawal from treatment. As food restriction has been reported to enhance insulin sensitivity and reduce insulin demand, we assessed the contribution of a reduced food intake to the glucose lowering and beta-cell...

Background—Senescent hearts are characterized by diastolic dysfunction and a decrease in sarcoplasmic reticulum (SR) Ca-ATPase protein (SERCA2a). Methods and Results—To test the hypothesis that an increase in SERCA2a could improve cardiac function in senescent rats (age 26 months), we used a catheter-based technique of adenoviral gene transfer to achieve global myocardial transduction of SERCA2...

We consider a stochastic diierential equation with linear feedback control : dX t = (A 0 + B 0) X t dt + L X l=1 (A l + B l) X t dW l (t) where 2 R is a oneedimensional feedback gain matrix. The problem is to nd an online algorithm which adjust the parameter in order to stabilize the system. We propose a stochastic gradient method which minimize the Lyapunov exponent associated with the solutio...

Design Thinking (DT) sigue siendo un concepto difuso, así como sus resultados. Esto motivó la presente revisión de alcance literatura (2008-2022), en cual se aplicó el marco Arksey y O'Malley. Usando plataforma Web of Science, obtuvieron 2853 artículos, los cuales solo 172 cumplieron con criterios inclusión exclusión. Los resultados muestran que: (a) No existe acuerdo definición DT. (b) Hay una...

In this paper we study planar polynomial differential systems of this form: dX dt = Ẋ = A(X, Y ), dY dt = Ẏ = B(X, Y ), where A, B ∈ Z[X, Y ] and degA ≤ d, degB ≤ d, ‖A‖∞ ≤ H and ‖B‖∞ ≤ H. A lot of properties of planar polynomial differential systems are related to irreducible Darboux polynomials of the corresponding derivation: D = A(X, Y )∂X + B(X, Y )∂Y . Darboux polynomials are usually comp...

21 Now we show the size of the semilinear set representation as well as the time required for generating such a representation. From Condition 1, each component of is bounded by 2 d 1 s 2 ; hence jBj (i.e., the number of distinct bases of the semilinear set) is bounded by (2 d 1 s 2) k 2 d 1 s 3 (k(s) is the dimension of). As a result, the size of B is bounded by k 3 (log 2 (2 d 1 s 2)) 3 (2 d ...

form, Problem P . Find fu; ; g such that 0 +K1 +K2 + C1v + S(v; ; ) = Q in V 0; Bv + Au + C2 + 4j(v; ; ; v) 3 f in E 0: Here f 2 E 0 and Q 2 V 0 are given by hf; wi = Z T 0 Z f(t)wi(t) dxdt + Z T 0 Z ij (t)wi;j(t) dxdt + Z T 0 Z N fN(t)wi(t)d dt; hQ; i = Z T 0 hq(t); (t)i dt Z T 0 Z 0(t) (t) dxdt Z T 0 Z C hR( (t) R(t)) (t)d dt Z T 0 Z kij ;i(t) ;j(t) dxdt; and 4j(v; ; ; w) denotes the partial ...