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In this work, we study the global existence of solutions reaction-diffusion systems with control of mass on multiple domains. Some of these domains overlap, and as a result, an unknown defined on one subdomain can impact another unknown defined on a different domain that intersects with the first. The question addressed is related to the long standing question of global existence for reaction-diffusion systems with quasi-positive reaction vector fields that dissipate mass, in the setting of a single bounded spatial domain. The results extend recent work of the authors and others for systems on a single domain with L ∞ diffusion and quasi-positive reaction vector fields that dissipate mass, in the setting of multiple domains. [ABSTRACT FROM AUTHOR]

In this paper, we study unique, globally defined uniformly bounded weak solutions for a class of semilinear reaction-diffusion-advection systems. The coefficients of the differential operators and the initial data are only required to be measurable and uniformly bounded. The nonlinearities are quasi-positive and satisfy a commonly called mass control or dissipation of mass property. Moreover, we assume the intermediate sum condition of a certain order. The key feature of this work is the surprising discovery that quasi-positive systems that satisfy an intermediate sum condition automatically give rise to a new class of Lp-energy type functionals that allow us to obtain requisite uniform a priori bounds. Our methods are sufficiently robust to extend to different boundary conditions, or to certain quasi-linear systems. We also show that in the case of mass dissipation, the solution is bounded in sup-norm uniformly in time. We illustrate the applicability of results by showing global existence and large time behavior of models arising from a spatio-temporal spread of infectious disease. [ABSTRACT FROM AUTHOR]

A mathematical model incorporating diffusion is developed to describe the spatial spread of COVID-19 epidemics in geographical regions. The dynamics of the spatial spread are based on community transmission of the virus. The model is applied to the outbreak of the COVID-19 epidemic in Brazil. [ABSTRACT FROM AUTHOR]

The field of biotechnology has become more quantitative and interdisciplinary as research in biotechnology continues to grow at a tremendous rate with broader and complex applications in medicine, agriculture, the environment and nanobiotechnology. The tremendous research in recombinant DNA technology has profoundly transformed the way biologists design, perform and analyze experiments. As biological concepts and models become more quantitative, biological research will be increasingly dependent on concepts and methods drawn from other scientific disciplines. Therefore, in order to prepare our undergraduate life science students to be future research scientists, we need to transform undergraduate education. This will require life science majors to develop and reinforce connections between biology and other scientific disciplines so that interdisciplinary thinking and work becomes second nature. With the integration of new technologies in biological research, biology will continue to become more interdisciplinary and will present a challenge for higher institutions that are training future biologists. This paper describes the development of a new undergraduate interdisciplinary research-based biotechnology degree programme offered by University of Houston College of Technology that addresses issues and challenges in biotechnology education.Journal of Commercial Biotechnology (2009) 15, 171–182; doi:10.1057/jcb.2008.59; published online 3 February 2009 [ABSTRACT FROM AUTHOR]

A mathematical model is developed to describe the dynamics of the spread of a waterborne disease among communities located along a flowing waterway. The model is formulated as a system of reaction-diffusion-advection partial differential equations in this spatial setting. The compartments of the model consist of susceptible, infected, and recovered individuals in the communities along the waterway, together with a term representing the pathogen load in each community and a term representing the spatial concentration of pathogens flowing along the waterway. The model is applied to the cholera outbreak in Haiti in 2010.