Molecular evolution and protobiology

1659

Book Reviews

Molecular

Evolution

Moiecltlar

Evol~rtion

Matsuno,

Rohlfing

mental ryon

and Prorohiology and Harada

constructicnism: develop

a vital

neous generation microspheres.

final

character

This

Fox’s

of these

Origin

arguments

of resisting

inquiry

into

very

paradigm: from

abiotic

Code

bring

to light

aggregate

than

protobiogenesis

and its potential

into

The

well

experi-

and Ker-

the spontaproteinoid in Sets.

rationale

argued

Z

of their

as well

as the

set. of science

exogenous

imposed

Harada

and finally

Synthesis).

the importance

limits

treatise. for

are developed

capabilities-is

where

rationale

studies

(microspheres)

an axiomatic

in a system

ongoing

to polymers

and Protein

evolutionary

is an excellent

Paecht-Horowitz,

acids

complexes

Fox

the early

including

amino

Rohlfing.

to Sidney

in presenting

Choughuley.

in establishing again

Harada,

as a tribute

of the Genetic

closure

of the material

Dose,

lucid

from

aggregates

of constructionism

Matsuno’s

handled

of Sidney

significance-intrinsic

limits

the product

prepared

contributions

properties

and 3 (The

pre-evolutionary intrinsic

while review

Matsuno,

are remarkably

of molecular

The

(Protocells)

their

and Protobiology.

of material

and endogenous

aggregates:

effects

are more

by its environment.

impact

on the prebiotic

emergence

of life

is

well. D. FINKEL L. FINKEL

Applications and

of Optimal Control Theory in Biomedicine. George W. Swan. (Monographs in pure and applied mathematics) Marcel Dekker. Inc., New York. 1984.

textbooks

281 pp.

The concepts

of servo-control

but application system

of control

under

the theory

study

of how

control

toxicity? rate

dimensional

space

become

control

theory

to obtain

agents

provides

administration)

of system

that

parameters

part of physiology

is limited

will

between

optimal

be chosen

George results.

to determine

produce

an “optimal conditions

of defining

W. Swan tumor

the

describes

For example.

to maximize

a means the initial

and medicine.

by the difficulty

In this monograph.

can be chosen

of chemotherapeutic

of drug

an important

problems

its parameters.

variables

Optimal

time-varying

have

to biological

and of knowing

the rates of administration minimize

theory

theory

how can

cell death

and

the control

function

(the

trajectory”

in the multi-

and the therapeutic

end-

point. The The

monograph

theories

control First,

problems

make

equations

A terminal index)

vector

derivation

Then,

The

to describe

that

functions.

Minimum The

second

definitions

of a self-tuning background describe

optimal

The problems

the robustness of the theory examined in detail.

drug

and diseases. encountered to errors

is given

is an overview

The

theory

administration,

These

are general

in defining

of measurement

a system.

fixed

theoretical measuring

or inexactness

.A general

initial

and final

concepts

with

to be optimally

is relatively

and graduate-level

an optimal

cost.

of systems

sophisticated linear

be applied

the physiology

variables.

allowed.

minimal

as it would

in

is used.

(or performance

of a system

mathematics

calculus

control

with

for use with

of the requirements

regulator.

to controlling

and the time interval

chapter

in advanced

chemotherapy,

systems

Principle

Principle

and a cost function

state is achieved

control.

on the elements

Minimum

and its response

controls

of optimal

placed

the Pontryagin

the system

the desired

theories

constraints

in the state space is chosen.

constraints.

six chapters cancer

and other

mathematics.

such

mathematical but

Instead.

the set of admissible

at least a strong

following

describing

of variations.

difficult.

on the Pontryagin

and description

hypothyroidism.

system,

from

of transfer

and requires

chapters

surface)

is found

and no inequality

controlled

two

this approach

(target

u*(t)

based

a description

with

on the calculus

of state are found

manifold

is derived.

control times

begins

are based

algebra.

in diabetes.

of the cardiovascular

discussions the response.

starting

with

and testing

of the state equations

are not