Beyond deficiency. New views on the function and health effects of vitamins. Introduction

Functions are essential mathematical tools used to describe consistent relationships between varying quantities. A function connects each input to a single, corresponding output based on a defined rule. These relationships appear in both everyday contexts and natural phenomena, providing a framework for understanding change and prediction.One common real-life example is a parking garage fee system, where the total cost depends on the amount of time a vehicle remains inside. In this case, the...

A one-to-one function is a mathematical function in which each element of the domain maps to a distinct and unique element in the range. This property ensures that no two different inputs result in the same output, formally expressed as f (x1) ≠ f (x2) whenever x1 ≠ x2. The graphical criterion for identifying such functions is the Horizontal Line Test, which indicates that a function is one-to-one if and only if no horizontal line intersects its graph at more than one point.A...

Exponential functions are fundamental in modeling dynamic processes where the rate of change is proportional to the current value. Defined by f(x) = bx, where b is a positive constant not equal to one, they form the basis for describing processes of growth and decay depending on whether the base b is greater than or less than one.Exponential models describe situations where change occurs at a rate proportional to the current amount. These include phenomena such as bacterial proliferation,...

The growth and maintenance of bone are regulated by a combination of nutritional factors, including vitamins, such as vitamin A, B12, C, D, and K.
Vitamin A
Vitamin A is involved in the process of bone remodeling. Retinoic acid, the active metabolite of Vitamin A, has nuclear receptors in osteoblasts and osteoclasts, which are involved in bone remodeling.
Vitamin B12
Vitamin B12 acts as a cofactor during the formation of osteoblast-related proteins, such as osteocalcin. Vitamin B12 plays a role...

The healthcare system is constantly changing and complex. Various services are available from different healthcare providers, but gaining access to these services has become challenging for people with limited healthcare insurance. Uninsured people present a challenge to healthcare because they frequently postpone or forego treatment.
The Institute of Medicine (IOM) advocates for a patient-centered, effective, safe, timely, equitable, and effective healthcare system. The National Priorities...

Functional groups are group of atoms with specific chemical properties that occur within organic molecules and sometimes denoted as “R”. Functional groups are found along the carbon backbone of macromolecules can form chains or rings of carbon atoms. Functional groups can “functionalize” a compound by enabling it to adopt different physical and chemical properties.  
Types of common functional groups
The table below summarizes some of the major functional groups in organic chemistry....