Science and Engineeringhttp://khartoumspace.uofk.edu/123456789/159642018-06-20T11:38:11Z2018-06-20T11:38:11ZPostpartum serum biochemical profile of Sudanese cystic ovarian crossbred dairy cattleOsman, Nasser MohammedElfaki, ImadeldinAhmed, Faisal OmerHommeida, Abdelrahimhttp://khartoumspace.uofk.edu/123456789/252512017-07-04T06:23:13ZCystic ovarian disease (COD) is an ovarian dysfunction in cows resulting in a serious economic loss in
the dairy industry. This study was conducted to examine the hemoglobin (Hb) concentration, serum
total protein (TP), phosphorus (P), copper (Cu), zinc (Zn), iron (Fe) and manganese (Mn) levels of
Sudanese crossbred (Friesian x Kenana) cows with COD in semi-closed condition. Forty-five dairy cows
were divided into two groups. Group A (n= 30) were the cows with COD, and group B (n= 15) were
healthy normal cycling cows (NC) that served as healthy control. Diagnosis of COD was based on
history of frequent prolonged signs of estrus and per rectal palpation. Per rectal palpation for the
uterus and ovaries was done weekly. A cow having a large follicle in the ovary that remained at the
same position for three successive palpations or more was considered having COD. Results of the
blood analysis showed that the serum levels of P, Cu, Zn and Mn of cows with COD were significantly
lower (P<0.05) than those of NC cows (5.2 ± 1.3 vs. 6.7 ± 2.5 mg/dl, 0.41 ± 0.3 vs. 0.72 ± 0.3 ppm, 0.5 ± 0.3
vs. 0.7 ± 0.3 ppm and 0.4 ± 0.2 vs. 0.6 ± 0.2 ppm, respectively). No differences (p > 0.05) in Hb
concentration (7.5 ± 1.2 vs. 7.4 ± 1.1 g/dl), serum TP (6.8 ± 1.2 vs. 6.5 ± 0.7 g/dl) and Fe (3.7 ± 1.3 vs. 3.7 ±
1.9 ppm) were observed between the two groups. This study reported reduced serum minerals (P, Cu,
Zn and Mn) levels in Sudanese crossbred dairy cows with COD as compared to NC cows. Future
studies are still needed to highlight the contribution of these minerals in inducing COD.
Postpartum serum biochemical profile of Sudanese cystic ovarian crossbred dairy cattle
Applications of the Integration By Parts Formula IIAhmed, Tagelsir A.Van Casteren, Jan A.http://khartoumspace.uofk.edu/123456789/247622017-03-14T12:05:16ZWe have established an integration by parts formula involving higher order Malliavin derivatives. This integration by parts formula can be used to extend the formulas in the work by Bally and Talay to include delay SDE’s as well as ordinary SDE’s.
Applications of the Integration By Parts Formula II
Approximation Theorems for The Solution of Stochastic Functional Differential Equations with Discontinuous Initial DataAhmed, Tagelsir A.Van Casteren, Jan A.http://khartoumspace.uofk.edu/123456789/247612017-03-14T12:01:46ZHere “Stochastic Functional Differential
Equations(S.F.D.E’s)” means “Delay Stochastic Differential
Equations”. In this work we have developed an
Euler approximation scheme for the solution process of
Stochastic Functional Differential Equation with possibly
discontinuous initial data, and we have shown that this
Euler scheme (under appropriate conditions) converges to
the solution process as the mesh of the partition goes to
zero.
The approximation theorem which we have established
gives us a method for approximating the solution of
S.F.D.E’s with possibly discontinuous initial data. Note
that here we are considering S.F.D.E which includes both
drift and diffusion coefficients. The present work on
approximation is an extension of the work on approximation
in [1] to include S.F.D.E’s with both drift and
diffusion coefficients. The work on approximation in [1]
was suggested by Prof. Salah-E.A.Mohammed and it was
done by Tagelsir A. Ahmed under the supervision of Prof.
Salah-E.A.Mohammed.
Approximation Theorems for The Solution of Stochastic Functional Differential Equations with Discontinuous Initial Data
Precise Estimates for The Solution of Stochastic Functional Differential Equations With Discontinuous Initial Data(Part 2)Ahmed, Tagelsir A.Van Casteren, Jan A.http://khartoumspace.uofk.edu/123456789/247602017-03-14T11:53:47ZThis work is a continuation to the work on Precise Estimates in [3] and
the work on Approximation Theorems in [2]. Here we have proved that the
Euler approximation of the S.F.D.E. considered in [2] and [3] is in fact nu-
merically stable and weakly consistent.Note that here we have used the same
introduction, notations and de nitions as in[2] and [3].
Precise Estimates for The Solution of Stochastic Functional Differential Equations With Discontinuous Initial Data(Part 2)