Saqib Mubarak

Lovely Professional University Phagwara Jalandhar Punjab India · Mathematics

All neonates, whether term or preterm, are prone to hypothermia, which is a major health issue causing many health problems to infants and sometimes even death. Thus, such subjects are imperative to study to help researchers and biologists in neonatology, for developing certain methods, procedures and devices to prevent these abnormal temperature f...

As an advancement in medical sciences, radioactive tracers are used in nuclear medicine, not only to understand the flow process and to make optimal diagnosis but also for staging, monitoring and evaluation of response to therapy. To this outlook, four mathematical models are devised to study the diffusion phenomena and kinetics of radiotracers inj...

The conduction, perfusion and metabolic heat generation based partial differential equation has been used to study the heat transfer in human head. The main objective of this study is to predict the temperature distribution at the multi-layered human head that results in hypothermic condition. The temperature profiles have been estimated at the int...

The use of tracers in certain imaging techniques are vital for the diagnosis, prevention and treatment of various diseases. The role of mathematical modeling in positron emission tomography (PET) scans provides an optimal information about the functioning of organs in terms of ‡ow and concentration pro…les of the radioactive tracer material infused...

Mathematical modelling of oxygen transport in biological tissues played a great role and provides optimal results for advanced biomedical and biophysical research. Conventionally, oxygen is administered to hypoxic patients through pulmonary route. A mathematical model has been proposed to establish an alternative route for oxygen supply, whereby ox...

The drug transport mechanism in the biological tissue can be modelled for its effective and efficient performance. Mathematics is playing a key role in almost all biomedical research problems including drug kinetics. A mathematical model based on reaction–diffusion equation has been formulated to understand the drug transport and its diffusion in a...

The use of tracers in certain imaging techniques are vital for the diagnosis, prevention and treatment of various diseases. The role of mathematical modeling in positron emission tomography (PET) scans provides an optimal information about the functioning of organs in terms of flow and concentration profiles of the radioactive tracer material infus...

In this paper, two mathematical models have been formulated by extending the basic reaction–diffusion model, along with suitable initial and boundary conditions to study the drug delivery and its diffusion in biological tissues from multi-layered capsules/tablets and other drug delivery devices (DDDs), respectively. These devices are either taken o...

A mathematical model of oxygen and carbon dioxide transport via blood in the human body has been formulated. The model is represented by four compartments: alveolar tissue, arterial blood, tissue and venous blood. The aim of this study is to estimate the concentration profiles of oxygen and carbon dioxide over alveolar tissue, arterial blood, tissu...

The transdermal drug-delivery (TDD) is an alternate route of drug transport through dermal regions with number of benefits over oral and parenteral routes. For this purpose, mathematical modelling of TDD can provide an efficient pathway of drug-diffusion through skin and subcutaneous tissues. A reaction-diffusion model has been formulated to discus...

The basic reaction–diffusion model is extended to study liver metastasis disease with applied drug therapy by the term which describes the interaction between the tumor and normal cells. The drug therapy is taken as a function of tumor shape as well as time duration. The model is solved using an analytical eigenvalue approach. The results obtained...

A mathematical model based on radial reaction‐diffusion equation has been formulated. An explicit formula of finite difference method based on the forward‐time central‐space (FTCS) scheme has been applied to solve the initial‐boundary‐value problem. The main purpose of this study is to estimate the concentration profiles of oxygen at the biological...

The body temperature of newborn preterm infants depends on the heat transfer between the infant and the external environment. Factors that influence the heat exchange include the temperature and humidity of the air and the temperature of surfaces in contact with and around the infant. Neonatal thermoregulation has a different pattern as they have a...

A mathematical model has been developed to estimate the concentration of transdermal drug transport in an annular section of the human forearm. The formulation of the model is based on the radial and angular diffusion equation together with appropriate boundary conditions. An analytic method has been employed to determine the steady-state concentra...