4. Physiology – the branch of biology that deals
with the functions of living organisms and
their parts.
Mathematical physiology- is
an interdisciplinary science. Primarily, it
investigates ways in which mathematics may
be used to give insight into physiological
questions. In turn, it also describes how
physiological questions can lead to new
mathematical problems.
6. Mathematical physiology has been always a
quantitative science. Physiologist have
attempted to understand living systems from a
quantitative perspective. Very early on the
history of physiology, have attempted to build
mathematical models of how living systems
work. Over past few decades by the help of
computational power now we can build highly
detailed models of organ systems from the
cellular level up actually from the genomic
level.
8. Two Types of physiological models:
• A quantitative physiological model is a
mathematical representation that approximates
the behavior of an actual physiological system.
• A qualitative physiological model describes
the actual physiological system without the use
of mathematics.
10. Deterministic and Stochastic Models
A deterministic model is one that has an exact
solution that relates the independent variables
of the model to each other and to the dependent
variable.
A stochastic model involves random variables
that are functions of time and include
probabilistic considerations.
12. Mathematical Physiology broadly grouped into
two physiological application areas:
• Cell Physiology
• System Physiology
Cell physiology including mathematical
treatments of biochemical reactions,
cellular electro-physiology, ionic
flow and regulation of function.
Systems physiology including electro-
cardiology, circulation and digestion.
How mathematics may be used insight into physiological questions and how physiological questions can lead to mathematical problems
A quantitative physiological model is a mathematical representation that approximates the behavior of an actual physiological system.
A qualitative physiological model describes the actual physiological system without the use of mathematics.
For a given set of initial conditions, a deterministic model yields the same solution each and every time.
For a given set of initial conditions, a stochastic model yields a different solution each and every time.
