The diameter distribution of the stem villi arteries does not discriminate between normal and intra uterine growth restricted placentas.
The discrete Beverton-Holt model with periodic harvesting in a periodically fluctuating environment.
The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments
In this paper, we propose a new impulsive predator prey model with impulsive control at different fixed moments and analyze its interesting dynamic behaviors. Sufficient conditions for the globally asymptotical stability of the semi-trivial periodic solution and the permanence of the present model are obtained by Floquet theory of impulsive differential equation and small amplitude perturbation skills. Existences of the "infection-free" periodic solution and the "predator-free" solution are analyzed...
The dynamic complexity of a Holling type-IV predator-prey system with stage structure and double delays.
The dynamics of living and thinking systems, biological networks, and the laws of physics.
The dynamics of mutation-selection algorithms with large population sizes
The dynamics of the pulse birth in an SIR epidemic model with standard incidence.
The Effect of Bacteria on Epidermal Wound Healing
Epidermal wound healing is a complex process that repairs injured tissue. The complexity of this process increases when bacteria are present in a wound; the bacteria interaction determines whether infection sets in. Because of underlying physiological problems infected wounds do not follow the normal healing pattern. In this paper we present a mathematical model of the healing of both infected and uninfected wounds. At the core of our model is an...
The effect of impulsive diffusion on dynamics of a stage-structured predator-prey system.
The effect of spatial scale on predicting time series: a study on epidemiological system identification.
The effect of time delay and Hopf bifurcation in a tumor-immune system competition model with negative immune response
We consider a system of delay differential equations modelling the tumor-immune system competition with negative immune response and three positive stationary points. The dynamics of the first two positive solutions are studied in terms of the local stability. We are particularly interested in the study of the Hopf bifurcation problem to predict the occurrence and stability of a limit cycle bifurcating from the second positive stationary point, when the delay (taken as a parameter) crosses some...
The Effects of HIV-1 Infection on Latent Tuberculosis
Tuberculosis is the leading cause of death due to infectious diseases in the world today, and it is increasing due to co-infection with HIV-1, the causative agent of AIDS. Here, we examine the impact that HIV-1 infection has on persons with latent tuberculosis. Based on previous work, we develop a mathematical model of an adaptive immune response in the lung which considers relevant immune effectors such as macrophages, various sub-populations of T-cells, and key cytokines to predict which mechanisms...
The electrokinetic model of matter transport through biological barriers
The electroosmotic model of matter transport through biological barriers
The EM algorithm and its implementation for the estimation of frequencies of SNP-haplotypes
A haplotype analysis is becoming increasingly important in studying complex genetic diseases. Various algorithms and specialized computer software have been developed to statistically estimate haplotype frequencies from marker phenotypes in unrelated individuals. However, currently there are very few empirical reports on the performance of the methods for the recovery of haplotype frequencies. One of the most widely used methods of haplotype reconstruction is the Maximum Likelihood method, employing...
The Estrada Index
The finite difference scheme for 3D mathematical modeling of a wood drying process.
The formation of a tree leaf
In this article, we build a mathematical model to understand the formation of a tree leaf. Our model is based on the idea that a leaf tends to maximize internal efficiency by developing an efficient transport system for transporting water and nutrients. The meaning of “the efficient transport system” may vary as the type of the tree leave varies. In this article, we will demonstrate that tree leaves have different shapes and venation patterns mainly because they have adopted different efficient...
The full nonrigid group theory for trimethylamine.
The fundamental group and Galois coverings of hexagonal systems in 3-space.