• Nem Talált Eredményt

Population dynamics analysis for stem cell biology

N/A
N/A
Protected

Academic year: 2022

Ossza meg "Population dynamics analysis for stem cell biology"

Copied!
38
0
0

Teljes szövegt

(1)

All rights reserved.2009 Yukihiko Nakata

Yukihiko Nakata

Research Fellow, Bolyai Institute, University of Szeged

Population dynamics analysis for stem cell biology

(2)

Introduction

Yukihiko NAKATA

June 2010 Postdoctoral Fellow at BCAM, Basque country, Spain March 2010 Doctor of Science (Ph. D.) at Waseda Univ.

April 1983 Out from my mother.

At Paris (2008)

(3)

2012 Nobel Prize

(4)

• Stem cell?

• Mathematics?

Contents

(5)

• Stem cell?

• Mathematics?

Contents

(6)

Eternal youth and immortality

First emperor, China, BC259-BC210

Frieza (Dragon ball Z), Planet Namek, ?

Alchemy

(7)

Eternal youth and immortality

Fear of Aging and Death

http://www.myspace.com/dragonnpixie

(8)

In this 21st century…

Still…we do not overcome the fear of aging.

We want to explain the mechanism.

we want to understand the biological process.

More precisely,

(9)

Regeneration (Clone)

Dolly, 1996-2003

Plant Animal Human

Green onion, 2012

Not yet available!

(as far as I know) cf. in vitro fertilization

>Body organs

(10)

Stem cell

Stem cell as the origin of the body organ.

Stem cell is a cell having two abilities:

1. Self-renewal 2. Differentiation

Stem cells Differentiated

cells

2 stem cells

2x2 daughter cells

3x2 daughter cells

(11)

Example: Blood cell production

Stem cells

Mature cells

Hematopoietic stem cell, Wikipedia

Red blood cell

White blood cells

(12)

Example: mammary gland

M. dM. Vivanco, Function Follows Form: Defining Mammary Stem Cells, (2010)

(13)

Regenerative medicine

Beike Biotechnology (China) develops therapies for disorders based on adult stem cells.

1. have been injected into about 9,300 patients 2. as much as USD 26,000 for the procedure

3. Stem cell treatments are NOT READY for those clinical use.

BROUGHT TO BOOK Marine census reveals its results p.638 POSTDOCS Please release me,

let me go to start my ow n lab p.635 GARAGE FLOWERS Why the boom

in DIY biology matters to scientists p.634

Transgenic harvest

African nations are laying foundations to extend the use of GM technology on the continent.

T

he use of genetically modified (GM) crops for food divides opinion, especially when it comes to Africa. Sharp views on the technology in the developed world, honed by more than a decade of arguments in Europe and elsewhere, are too easily projected onto Africa, with the continent portrayed as a passive participant in

the global melodrama over GM food. So it is heartening to see a group of 19 African nations working to develop policies that should make it clear to all sides in the debate that Africa can make up its own mind.

After more than nine years, talks between member states of the Common Market for Eastern and Southern Africa (COMESA) have produced a draft policy on GM technology, which was sent for national consultation last month. COMESA is a trade bloc, and its proposals aim to develop research and trade in GM crops. But they also state that decisions should be based on sound science and evidence.

Under the proposals, a nation that wants to grow a GM crop com- mercially would inform COMESA, which would then carry out a science-based risk assessment — COMESA seems to have sufficient access to scientific expertise to fulfil this role. The body would judge

Stem- cell laws in China fall short

The Chinese government’ s regulations of stem- cell treatments are admirable in principle, but tougher enforcement measures are needed to protect patients.

C

hina does not want to be known as the Wild West of unproven medical technologies. Last year, the government took an important step when it announced regulations requiring, among other things, that anyone who offers stem-cell procedures should present clinical data supporting their efficacy, and secure approval from the health ministry (see Nature 459, 146; 2009).

Such regulations are sorely needed. A leading bioethicist in China last year estimated that more than 100 laboratories there offer stem-cell procedures, many of them unproven, although some clinics reportedly stopped offering the treatments after the regulations took effect. But the government needs to do more than simply announce rules; it needs to give companies clear instructions for complying with them.

The regulations have made little difference so far to Beike Biotechnol- ogy in Shenzhen, China’s — and perhaps the world’s — most prolific purveyor of stem-cell treatments. Beike develops therapies for disorders ranging from multiple sclerosis to lupus, based on adult and umbili- cal-cord stem cells. Its treatments, offered by more than 30 hospitals throughout China, have been injected into about 9,300 patients, who pay as much as US$26,000 for the procedure. Roughly half have muscular dystrophy or spinal-cord injuries, but many experts say that stem-cell treatments for those conditions are not ready for clinical use.

Beike has not tested the efficacy of its treatments in formal clini- cal trials, says Alex Moffett, chief executive of Bangkok-based Beike Holdings and a spokesman for Beike Biotechnology, although he does say that some phase I safety trials are taking place. The company offers numerous testimonials on its website as evidence that its treatments work. But some media accounts report scepticism, and the mother of one Beike patient complained directly to Nature that her son’s condi- tion did not improve at all.

Moffett says that he believes in the need for evidence based on clini- cal trials. As the company plans an expansion into Malaysia, the Phil- ippines and Thailand, he says, it will complete clinical trials of every treatment’s safety and efficacy, at no cost to patients, before offering

the procedures commercially. He says that Beike ―probably should have‖ taken the same approach in China.

Yet the company has passed muster with the government, says Mof- fett. Officials have visited Beike’s facilities without closing them down, which he interprets as tacit approval for the treatments. He says he knows of no application steps for formal approval from the health ministry — and requested that Nature forward him any information about such procedures.

The problem, it seems, is that the regulations do not include enough details for implementation and enforcement. The health ministry is now considering proposed guidelines, created by a group of scientists and ethicists, that set out clear criteria for preclinical and clinical studies, and clinical applications. One of the committee members said that the guidelines call for an approval process that is easily accessible, includes an ethical review and is based on solid scientific data.

The committee member says that the government will decide ―soon‖

whether and how to implement the guidelines. (A Chinese academic who has been following the issue says that implementation has been held up by disagreements between different government agencies.)

Soon cannot be soon enough. The guidelines need to be approved and put in place as fast as possible, and enforced swiftly and effectively. The longer that unproven therapies stay on the market, the greater is the risk that a history of use can be framed as evidence of safety and efficacy.

Since an investigation of China’s food and drug agency a few years ago found it to be rife with corruption (see Nature 446, 598–599; 2007 and Nature Med. 13, 889; 2007), the government has worked hard to put together a system that balances drug-company profit, the require- ments of drug innovation, and patients’ health and welfare. Those efforts offer a model for regulation of stem-cell therapies. Anything less than a clear, detailed set of rules is a disservice to scientists who are working hard to understand stem cells and their clinical promise, to companies that are taking big financial risks and doing proper clinical trials, and most of all to patients.

7 O C T O B E R 2 0 1 0 | V O L 4 6 7 | N A T U R E | 6 3 3

THIS WEEK

EDITORIALS

© 20 Macmillan Publishers Limited. All rights reserved10

Nature 467 (2010)

(14)

Cancer stem cell hypothesis

bluebetweenyouandi@ gm ail.com/40285 bluebetweenyouandi@ gm ail.com/40285

S. Sato, Give My Regards to Black Jack, 5

(15)

Cancer stem cell hypothesis

Cancer uncontrolled cell growth Chemotherapy

 side-effect: feeling sick, loss of hair etc.

 acquired resistance.

 (possibly) attacks normal cells

Cancer stem cell hypothesis:

There are also stem cells as the origin of cancer?

(16)

2012 Nobel Prize

(17)

Biological problem

What mechanism makes stem to mature cells?

Signal, regulation, chemical reaction etc..

?

“It is well known that little is known for stem cell dynamics”

-an anonymous reviewer

(18)

• Stem cell?

• Mathematics?

Contents

(19)

ODE Model:

Stem cell maturation model

Mathematics?

(20)

Problems and strategy

What regulatory mechanisms for homeostatic

condition?

Mathematical modeling and analysis

Interpretation in terms of

biological

parameters

(21)

Differentiation and self-renewal

A. Marciniak-Czochra et al., (2008), Nakata et al., (2012)

Stem cells Mature cells

2 stem cells

2x2 daughter cells 3x2 daughter cells

Stem cells, w(t)

Inflow

Mature cells, v(t)

Outflow Fraction of self-renewal

Division rate

Stem cells

Mature cells

(22)

Extracellular signal feedback-Regulatory mechanisms

Regulated fraction of self-renewal Assumption:

Signal intensity depends on the amount of mature cells

Regulated division rate

Signal

Stem cells

Mature cells

(23)

Global stability analysis

Scenario 1: The division rate is regulated

Scenario 2: The fraction of self-renewal is regulated

Exists

Trivial eq. (0,0) Positive eq. (w,v)

GAS

=Globally Asymptotically Stable

GAS

Reproduction number

Exists

Trivial eq. (0,0) Positive eq. (w,v)

GAS

GAS

Reproduction

number

(24)

Global stability analysis

(25)

Regulated division rate Regulated fraction of self-renewal

Different types of dynamics

Monotone V.S. oscillatory-like behavior

Stem Cells

Mature Cells Mature Cells

St em Cells

Different required amount of stem cells to keep the population

balance of mature cells

(26)

Renewal Eq. Model:

Quiescence and proliferating

Mathematics?

(27)

Quiescence?

G 0 :Quiescence Example: hematopoietic stem cell

Cell division cycle M

Coller, 2011, Pujo-Menjouet et al. 2005

G 1 S

G 2

Quiescent cell model, Mackey 1978

(28)

Our aim

Formulation by

Renewal Equations Principle of linearized stability is available

Complete picture of qualitative

properties

Stability boundaries in a biological

parameter plane

(29)

Basic model ingredients-Proliferating cell

Population

birth rate Proliferating cells age

Division + Produce 2 cells

Renewal equation

The # of proliferating cells

Survival probability up to age a

Probability not to divide up to age a

Zilman, Ganusov and Perelson PLoS ONE (2010)

Age-specific division rate

(30)

Stability and connection to ODE

Characteristic equation and stability

Connection to Differential Eq.

(31)

Quiescent cells Proliferating cells

Quiescent and proliferating cells

age

Division + Produce 2 cells

Population

birth rate Population

recruitment rate

Probability not to be recruited

The # of proliferating and quiescent cells

(32)

Population birth rate

Quiescent and proliferating cells

How do we analyze stability properties?

Density-dependent recruitment rate System of RE

Gyllenberg et al. 1998

: decreasing function

Mackey 1978

(33)

Principle of linearized stability

Infinite delay: Diekmann and Gyllenberg, J.Diff.Eq. (2011)

Renewal equation

The characteristic equation where

Equilibrium: constant sol. s.t.

where

Assume is Frechet differentiable at the equilibrium.

Diekmann, Getto and Gyllenberg, SIAM J. Math. Anal. (2007)

(34)

Concentrated division

The characteristic equation

A characteristic equation in the literature

Stepan 1989 Kuang 1993

A sufficient criteria

Exact condition using as a free parameter

For

(35)

Development of curves

As increasing q from 0 to 1

As increasing delay

(36)

Threshold for existence of instability region

The equilibrium is Stable

0

0 2

4 6

The equilibrium

is Stable

(37)

Mechanism of oscillation

Quiescent cells Proliferating cells

Division

+ Produce 2 cells

Birth rate

Recruitment rate

age

Time needed to divide

Concentrated division mode

Oscillation Proliferation due to recruited quiescent cells

(38)

for your interest

Yukihiko NAKATA

Postdoctoral Fellow, MBMS, BCAM

Supported by MTM 2010-18318 (MICINN)

nakata@bcamath.org

Research interesting:

Nonlinear dynamical analysis, Differential / difference equation

systems

and its Applications.

Hivatkozások

KAPCSOLÓDÓ DOKUMENTUMOK

The main findings are (1) that inward I K1 current densities and RMP were similar in hiPSC-CMs and human CMs/tis- sues, (2) that 2-fold differences in inward I K1 density between

ADRA1A mRNA was present in undifferentiated hESCs and hiPSCs (although modest compared with adult cells) but was not detectable in differentiated hiPSC-CMs or hESC-CMs (Figure

In conclusion, the surface of absorbable sutures can function as a vehicle for stem cell implantation, but it is important to know that a week-long pre-incubation of the

Keywords: stem cell, HydroMatrix, periodontal ligament, cell proliferation, impedimetry, osteogenic

During my work I examined the retinoic acid induced in vitro differentiation of one cell derived murine stem cell populations (NE-4C neural stem cells, P19 teratocarcinoma cells and

progenitors are most likely to be facultative stem cells, although cells with stem cell activity from extrahepatic sources may also operate in

• Source of stem cell, and the moral standing of the human embryo. • Patient

cells generation via a pancreatic stem cell that is purified, expanded and differentiated in vitro to generate cells 25.. cells differentiated in vitro from embryonic stem cells